Original: H UMAN -G UIDED F AIR C LASSIFICATION FOR N ATURAL L ANGUAGE P ROCESSING
Revised: H UMAN -G UIDED F AIR C LASSIFICATION FOR N ATURAL L ANGUAGE P ROCESSING

Original: A BSTRACT
Revised: A BSTRACT

Original: Text classiﬁers have promising applications in high-stake tasks such as resume screening and content moderation.
Revised: Text classiﬁers have promising applications in high-stake tasks such as resume screening and content moderation.

Original: These classiﬁers must be fair and avoid discriminatory decisions by being invariant to perturbations of sensitive attributes such as gender or ethnicity.
Revised: These classiﬁers must be fair and avoid discriminatory decisions by being invariant to perturbations of sensitive attributes such as gender or ethnicity.

Original: However, there is a gap between human intuition about these perturbations and the formal similarity speciﬁcations capturing them.
Revised: However, there is a gap between human intuition about these perturbations and the formal similarity speciﬁcations capturing them.

Original: While existing research has started to address this gap, current methods are based on hardcoded word replacements, resulting in speciﬁcations with limited expressivity or ones that fail to fully align with human intuition (e.g., in cases of asymmetric counterfactuals).
Revised: While existing research has started to address this gap, current methods are based on hardcoded word replacements, resulting in speciﬁcations with limited expressivity or ones that fail to fully align with human intuition (e.g., in cases of asymmetric counterfactuals).

Original: This work proposes novel methods for bridging this gap by discovering expressive and intuitive individual fairness speciﬁcations.
Revised: This work proposes novel methods for bridging this gap by discovering expressive and intuitive individual fairness speciﬁcations.

Original: We show how to leverage unsupervised style transfer and GPT-3’s zero-shot capabilities to automatically generate expressive candidate pairs of semantically similar sentences that differ along sensitive attributes.
Revised: We show how to leverage unsupervised style transfer and GPT-3’s zero-shot capabilities to automatically generate expressive candidate pairs of semantically similar sentences that differ along sensitive attributes.

Original: We then validate the generated pairs via an extensive crowdsourcing study, which conﬁrms that a lot of these pairs align with human intuition about fairness in the context of toxicity classiﬁcation.
Revised: We then validate the generated pairs via an extensive crowdsourcing study, which conﬁrms that a lot of these pairs align with human intuition about fairness in the context of toxicity classiﬁcation.

Original: Finally, we show how limited amounts of human feedback can be leveraged to learn a similarity speciﬁcation that can be used to train downstream fairness-aware models.
Revised: Finally, we show how limited amounts of human feedback can be leveraged to learn a similarity speciﬁcation that can be used to train downstream fairness-aware models.

Original:  I NTRODUCTION
Revised:  I NTRODUCTION

Original: With the rise of pretrained large language models (Sun et al., 2019) text classiﬁers can now be employed in tasks related to automated hiring (Bhatia et al., 2019), content moderation (Rieder &
Revised: With the rise of pretrained large language models (Sun et al., 2019) text classiﬁers can now be employed in tasks related to automated hiring (Bhatia et al., 2019), content moderation (Rieder &

Original: Skop, 2021) and social science research (Widmer et al., 2020).
Revised: Skop, 2021) and social science research (Widmer et al., 2020).

Original: They are also part of machine learning pipelines for unsupervised style transfer (Reid & Zhong, 2021) or reducing the toxicity of language model outputs (Welbl et al., 2021).
Revised: They are also part of machine learning pipelines for unsupervised style transfer (Reid & Zhong, 2021) or reducing the toxicity of language model outputs (Welbl et al., 2021).

Original: However, text classiﬁers have been shown to often exhibit bias based on sensitive attributes such as gender (De-Arteaga et al., 2019) or demographics (Garg et al., 2019), even for tasks in which these dimensions should be irrelevant.
Revised: However, text classiﬁers have been shown to often exhibit bias based on sensitive attributes such as gender (De-Arteaga et al., 2019) or demographics (Garg et al., 2019), even for tasks in which these dimensions should be irrelevant.

Original: This can lead to unfair and discriminatory decisions, distort analyses based on these classiﬁers, or propagate undesirable demographic stereotypes to downstream applications.
Revised: This can lead to unfair and discriminatory decisions, distort analyses based on these classiﬁers, or propagate undesirable demographic stereotypes to downstream applications.

Original: The intuition that certain demographic indicators should not inﬂuence decisions can be formalized in terms of the concept of individual fairness (Dwork et al., 2012), which posits that similar inputs should be treated similarly by machine learning systems.
Revised: The intuition that certain demographic indicators should not inﬂuence decisions can be formalized in terms of the concept of individual fairness (Dwork et al., 2012), which posits that similar inputs should be treated similarly by machine learning systems.

Original: While in a classiﬁcation setting similar treatment for two inputs can naturally be deﬁned in terms of both inputs being labeled the same, the notion of input similarity should capture the intuition that certain input characteristics should not inﬂuence model decisions.
Revised: While in a classiﬁcation setting similar treatment for two inputs can naturally be deﬁned in terms of both inputs being labeled the same, the notion of input similarity should capture the intuition that certain input characteristics should not inﬂuence model decisions.

Original: Key challenge: generating valid, intuitive and diverse fairness constraints A key challenge
Revised: Key challenge: generating valid, intuitive and diverse fairness constraints A key challenge

Original: when applying the individual fairness framework is deﬁning the similarity notion φ .
Revised: when applying the individual fairness framework is deﬁning the similarity notion φ .

Original: Indeed, the deﬁnition is often contentious, as fairness is a subjective concept: what counts as a valid demographic indicator, as opposed to a problematic stereotype?
Revised: Indeed, the deﬁnition is often contentious, as fairness is a subjective concept: what counts as a valid demographic indicator, as opposed to a problematic stereotype?

Original: Counterfactual deﬁnitions of similarity (Kusner et al., 2017) offer a principled solution, but they shift the burden towards the underlying causal model, whose deﬁnition can often be similarly contentious.
Revised: Counterfactual deﬁnitions of similarity (Kusner et al., 2017) offer a principled solution, but they shift the burden towards the underlying causal model, whose deﬁnition can often be similarly contentious.

Original: While many other deﬁnitions have been proposed, it is widely recognized that the similarity of inputs can often be highly task dependent (Dwork et al., 2012; Barocas et al., 2019), e.g., two biographies that are identical except for indicators of gender may be considered similar in a professional context, but not in the context of online dating.
Revised: While many other deﬁnitions have been proposed, it is widely recognized that the similarity of inputs can often be highly task dependent (Dwork et al., 2012; Barocas et al., 2019), e.g., two biographies that are identical except for indicators of gender may be considered similar in a professional context, but not in the context of online dating.

Original: [Figure]
Revised: [Figure]

Original: In the context of text classiﬁcation, most existing works have cast similarity in terms of word replacement (Dixon et al., 2018;
Revised: In the context of text classiﬁcation, most existing works have cast similarity in terms of word replacement (Dixon et al., 2018;

Original: Garg et al., 2019; Yurochkin & Sun, 2021; Liang et al., 2020).
Revised: Garg et al., 2019; Yurochkin & Sun, 2021; Liang et al., 2020).

Original: Given a sentence s , a similar sentence s (cid:48) is generated by replacing each word in s , that belongs to a list of words A j indicative of a demographic group j , by a word from list A j (cid:48) , indicative of another demographic group j (cid:48) (cid:54) =
Revised: Given a sentence s , a similar sentence s (cid:48) is generated by replacing each word in s , that belongs to a list of words A j indicative of a demographic group j , by a word from list A j (cid:48) , indicative of another demographic group j (cid:48) (cid:54) =

Original: j .
Revised: j .

Original: This approach has several limitations: (i) it relies on having exhaustively curated word lists A j of sensitive terms, (ii) perturbations that cannot be represented by replacing single sensitive terms are not covered, and (iii) many terms are only indicative of demographic groups in speciﬁc contexts, hence directly replacing them with other terms will not always result in a similar pair ( s, s (cid:48) ) according to human intuition.
Revised: This approach has several limitations: (i) it relies on having exhaustively curated word lists A j of sensitive terms, (ii) perturbations that cannot be represented by replacing single sensitive terms are not covered, and (iii) many terms are only indicative of demographic groups in speciﬁc contexts, hence directly replacing them with other terms will not always result in a similar pair ( s, s (cid:48) ) according to human intuition.

Original: Indeed, word replacement rules can often produce sentence pairs that only differ in an axis not relevant to fairness (e.g., by replacing “white house” with “black house”).
Revised: Indeed, word replacement rules can often produce sentence pairs that only differ in an axis not relevant to fairness (e.g., by replacing “white house” with “black house”).

Original: In addition, they can generate so-called asymmetric counterfactuals (Garg et al., 2019): sentence pairs ( s, s (cid:48) ) that look similar but clearly do not warrant similar treatment.
Revised: In addition, they can generate so-called asymmetric counterfactuals (Garg et al., 2019): sentence pairs ( s, s (cid:48) ) that look similar but clearly do not warrant similar treatment.

Original: For example, in the context of toxicity classiﬁcation, the text “I don’t like this movie.
Revised: For example, in the context of toxicity classiﬁcation, the text “I don’t like this movie.

Original: It is so old” may not be considered toxic while “I don’t like this movie.
Revised: It is so old” may not be considered toxic while “I don’t like this movie.

Original: It is so gay” clearly is.
Revised: It is so gay” clearly is.

Original: This work: generating fairness speciﬁcations for text classiﬁcation
Revised: This work: generating fairness speciﬁcations for text classiﬁcation

Original: The central challenge we consider in this work is how to generate a diverse set of input pairs that aligns with human intuition about which inputs should be treated similarly in the context of a ﬁxed text classiﬁcation task.
Revised: The central challenge we consider in this work is how to generate a diverse set of input pairs that aligns with human intuition about which inputs should be treated similarly in the context of a ﬁxed text classiﬁcation task.

Original: These pairs then induce fairness constraints that collectively deﬁne an implict fairness speciﬁcation on a downstream classiﬁer, as individual fairness postulates that they should be classiﬁed in the same way.
Revised: These pairs then induce fairness constraints that collectively deﬁne an implict fairness speciﬁcation on a downstream classiﬁer, as individual fairness postulates that they should be classiﬁed in the same way.

Original: We address this challenge via a three-stage pipeline, summarized in Fig.
Revised: We address this challenge via a three-stage pipeline, summarized in Fig.

Original: First, we start from a training dataset D for the text classiﬁcation task under consideration and generate a set C w of candidate pairs ( s, s (cid:48) ) by applying word replacement to sentences s ∈ D .
Revised: First, we start from a training dataset D for the text classiﬁcation task under consideration and generate a set C w of candidate pairs ( s, s (cid:48) ) by applying word replacement to sentences s ∈ D .

Original: Second, to improve diversity and expand on word replacement rules, we extend C w to a larger set of pairs C e by borrowing unsupervised style transfer ideas.
Revised: Second, to improve diversity and expand on word replacement rules, we extend C w to a larger set of pairs C e by borrowing unsupervised style transfer ideas.

Original: We change markers of demographic groups, e.g., “women”, “black people” or “Christians”, in sentences s ∈ D by replacing the style classiﬁer used by modern unsupervised style transfer methods (Reid & Zhong, 2021; Lee, 2020) with a classiﬁer trained to identify mentions of demographic groups.
Revised: We change markers of demographic groups, e.g., “women”, “black people” or “Christians”, in sentences s ∈ D by replacing the style classiﬁer used by modern unsupervised style transfer methods (Reid & Zhong, 2021; Lee, 2020) with a classiﬁer trained to identify mentions of demographic groups.

Original: In addition, we add pairs from GPT-3 (Brown et al., 2020), prompted to change markers of demographic groups for sentences in D in a zero-shot fashion.
Revised: In addition, we add pairs from GPT-3 (Brown et al., 2020), prompted to change markers of demographic groups for sentences in D in a zero-shot fashion.

Original: Third, to identify which of the generated pairs align with human intuition about fairness in the context of the considered classiﬁcation task, we design a crowdsourcing experiment in which workers are presented with candidate pairs and indicate if the pairs should be treated similarly for the considered task or not.
Revised: Third, to identify which of the generated pairs align with human intuition about fairness in the context of the considered classiﬁcation task, we design a crowdsourcing experiment in which workers are presented with candidate pairs and indicate if the pairs should be treated similarly for the considered task or not.

Original: Since obtaining human feedback is expensive, we label a small subset of the generated pool and train a BERT-based (Devlin et al., 2019)
Revised: Since obtaining human feedback is expensive, we label a small subset of the generated pool and train a BERT-based (Devlin et al., 2019)

Original: classiﬁer ˆ ϕ to recognize pairs that should be treated similarly, yielding a ﬁnal set of ﬁltered pairs ˆ C r ⊆ C e .
Revised: classiﬁer ˆ ϕ to recognize pairs that should be treated similarly, yielding a ﬁnal set of ﬁltered pairs ˆ C r ⊆ C e .

Original: To further reduce labeling costs, we use active learning similar to (Grießhaber et al., 2020) to decide which pairs to label.
Revised: To further reduce labeling costs, we use active learning similar to (Grießhaber et al., 2020) to decide which pairs to label.

Original: We also demonstrate that the ﬁnal set of constraints ˆ C r can be used for training fairness-aware downstream classiﬁers, by adopting the Counterfactual Logit Pairing (CLP) regularizer of (Garg et al., 2019).
Revised: We also demonstrate that the ﬁnal set of constraints ˆ C r can be used for training fairness-aware downstream classiﬁers, by adopting the Counterfactual Logit Pairing (CLP) regularizer of (Garg et al., 2019).

Original: While our pipeline can in principle be used in the context of most text classiﬁcation tasks, we instantiate it in the context of toxicity classiﬁcation.
Revised: While our pipeline can in principle be used in the context of most text classiﬁcation tasks, we instantiate it in the context of toxicity classiﬁcation.

Original: Our experimental results, based on a large dataset for online content moderation, show that in this context our pipeline effectively generates a set of candidate pairs that covers more diverse perturbations than existing word replacement based approaches and successfully leverages human feedback to verify and ﬁlter these candidate pairs.
Revised: Our experimental results, based on a large dataset for online content moderation, show that in this context our pipeline effectively generates a set of candidate pairs that covers more diverse perturbations than existing word replacement based approaches and successfully leverages human feedback to verify and ﬁlter these candidate pairs.

Original: Main contributions We make the following contributions:
Revised: Main contributions We make the following contributions:

Original: • We introduce a method for generating datasets of diverse candidate pairs for individual fairness speciﬁcations.
Revised: • We introduce a method for generating datasets of diverse candidate pairs for individual fairness speciﬁcations.

Original: Towards that, we leverage GPT-3 and unsupervised style transfer to modify demographic attributes mentioned in sentences.
Revised: Towards that, we leverage GPT-3 and unsupervised style transfer to modify demographic attributes mentioned in sentences.

Original: • We show that human feedback can be used for training a classiﬁer that automatically identiﬁes pairs that align with human fairness intuitions for a considered downstream task.
Revised: • We show that human feedback can be used for training a classiﬁer that automatically identiﬁes pairs that align with human fairness intuitions for a considered downstream task.

Original: • We instantiate our framework in the context of toxicity classiﬁcation.
Revised: • We instantiate our framework in the context of toxicity classiﬁcation.

Original: We experimentally show that the proposed pairs cover more diverse perturbations than word replacement, that crowdworkers agree with more than 75% of proposed pairs and that our learned approximate speciﬁcation can effectively be used to train fairness-aware downstream classiﬁers.
Revised: We experimentally show that the proposed pairs cover more diverse perturbations than word replacement, that crowdworkers agree with more than 75% of proposed pairs and that our learned approximate speciﬁcation can effectively be used to train fairness-aware downstream classiﬁers.

Original:  R ELATED W ORK Bias
Revised:  R ELATED W ORK Bias

Original: in NLP Early work on bias in Natural Language Processing has focused on unwanted correlations between the word embeddings of identiﬁers for protected demographic groups and unrelated categories such as occupations (Bolukbasi et al., 2016; Caliskan et al., 2017).
Revised: in NLP Early work on bias in Natural Language Processing has focused on unwanted correlations between the word embeddings of identiﬁers for protected demographic groups and unrelated categories such as occupations (Bolukbasi et al., 2016; Caliskan et al., 2017).

Original: More recently, generative language models have been found to harbor stereotypical biases (Liang et al., 2020; Nadeem et al., 2021; Vig et al., 2020; Smith et al., 2022).
Revised: More recently, generative language models have been found to harbor stereotypical biases (Liang et al., 2020; Nadeem et al., 2021; Vig et al., 2020; Smith et al., 2022).

Original: Speciﬁc to text classiﬁcation, identity terms such as “gay” and explicit indicators of gender have been shown to signiﬁcantly impact the outputs of classiﬁers trained to identify toxic comments (Dixon et al., 2018) or to predict a person’s occupation from their biography (De-Arteaga et al., 2019).
Revised: Speciﬁc to text classiﬁcation, identity terms such as “gay” and explicit indicators of gender have been shown to signiﬁcantly impact the outputs of classiﬁers trained to identify toxic comments (Dixon et al., 2018) or to predict a person’s occupation from their biography (De-Arteaga et al., 2019).

Original: Olteanu et al.
Revised: Olteanu et al.

Original: (2017) demonstrate that human perceptions of the quality of a toxicity classiﬁer can depend on the precise nature of errors made by the classiﬁer, as well as the annotators’ previous experiences with hate speech.
Revised: (2017) demonstrate that human perceptions of the quality of a toxicity classiﬁer can depend on the precise nature of errors made by the classiﬁer, as well as the annotators’ previous experiences with hate speech.

Original: Similarly, Blodgett et al.
Revised: Similarly, Blodgett et al.

Original: (2020) recommend authors to explictly consider why, how and to whom the biases they identify are harmful.
Revised: (2020) recommend authors to explictly consider why, how and to whom the biases they identify are harmful.

Original: Language models for data augmentation Perez et al.
Revised: Language models for data augmentation Perez et al.

Original: (2022) use a language model to automatically generate test cases for another language model and Ross et al.
Revised: (2022) use a language model to automatically generate test cases for another language model and Ross et al.

Original: (2022) automatically create contrast sets (Gardner et al., 2020) with a language model perturbing sentences based on control codes.
Revised: (2022) automatically create contrast sets (Gardner et al., 2020) with a language model perturbing sentences based on control codes.

Original: Rios (2020) use style transfer to change the dialect of African-American Vernacular English tweets to Standard American English in order to evaluate the sensitivity to dialect of offensive language detectors, but do not extend style transfer to mentions of demographic groups.
Revised: Rios (2020) use style transfer to change the dialect of African-American Vernacular English tweets to Standard American English in order to evaluate the sensitivity to dialect of offensive language detectors, but do not extend style transfer to mentions of demographic groups.

Original: Hartvigsen et al.
Revised: Hartvigsen et al.

Original: (2022) use language models to generate a balanced dataset of benign and toxic comments about minority groups and demonstrate that ﬁnetuning a toxicity classiﬁer on this dataset can substantially limit its reliance on spurious correlations between identity terms and toxicity.
Revised: (2022) use language models to generate a balanced dataset of benign and toxic comments about minority groups and demonstrate that ﬁnetuning a toxicity classiﬁer on this dataset can substantially limit its reliance on spurious correlations between identity terms and toxicity.

Original: However, their dataset is non-parallel, hence it cannot be used for evaluating individual fairness.
Revised: However, their dataset is non-parallel, hence it cannot be used for evaluating individual fairness.

Original: Meanwhile, Qian et al.
Revised: Meanwhile, Qian et al.

Original: (2022) train a perturber model to imitate human rewrites s (cid:48) of comments s that aim to modify mentions of demographic groups, and demonstrate that ﬁnetuning language models on the modiﬁed comments reduces demographic biases.
Revised: (2022) train a perturber model to imitate human rewrites s (cid:48) of comments s that aim to modify mentions of demographic groups, and demonstrate that ﬁnetuning language models on the modiﬁed comments reduces demographic biases.

Original: Although this approach creates parallel data, it is limited by its reliance on large amounts of expensive human rewrites, which is likely why the authors only use it for perturbations along given demographic axes such as gender.
Revised: Although this approach creates parallel data, it is limited by its reliance on large amounts of expensive human rewrites, which is likely why the authors only use it for perturbations along given demographic axes such as gender.

Original: In contrast, we allow for perturbations across axes and only require human annotations rather than rewrites.
Revised: In contrast, we allow for perturbations across axes and only require human annotations rather than rewrites.

Original: Learning fairness notions from data Ilvento (2020) provides an algorithm to approximate arbitrary individual fairness metrics for N datapoints in O ( N log N ) queries, which can be practically infeasible.
Revised: Learning fairness notions from data Ilvento (2020) provides an algorithm to approximate arbitrary individual fairness metrics for N datapoints in O ( N log N ) queries, which can be practically infeasible.

Original: Meanwhile, Mukherjee et al.
Revised: Meanwhile, Mukherjee et al.

Original: (2020) suggest training a classiﬁer to predict binary fairness judgments on pairs ( s, s (cid:48) ) in order to learn a fairness metric φ , but restrict themselves to Mahalanobis distances on top of a feature representation ξ ( s ) , limiting their expressive power.
Revised: (2020) suggest training a classiﬁer to predict binary fairness judgments on pairs ( s, s (cid:48) ) in order to learn a fairness metric φ , but restrict themselves to Mahalanobis distances on top of a feature representation ξ ( s ) , limiting their expressive power.

Original: In contrast to our work, these works do not validate their learned fairness notions with human feedback.
Revised: In contrast to our work, these works do not validate their learned fairness notions with human feedback.

Original: To that end, Cheng et al.
Revised: To that end, Cheng et al.

Original: (2021) present an interface to holistically elicit stakeholders’ fairness judgments, whereas Wang et al.
Revised: (2021) present an interface to holistically elicit stakeholders’ fairness judgments, whereas Wang et al.

Original: (2019) aim to learn a bilinear fairness metric for tabular data based on clustering human annotations.
Revised: (2019) aim to learn a bilinear fairness metric for tabular data based on clustering human annotations.

Original: Another strain of work aims to directly learn fair classiﬁers without an explicit fairness metric: given access to similarity queries, Jung et al.
Revised: Another strain of work aims to directly learn fair classiﬁers without an explicit fairness metric: given access to similarity queries, Jung et al.

Original: (2021) propose an algorithm with generalization bounds for fairness and accuracy that requires polynomially many queries to cost-sensitive classiﬁcation oracle, while other work (Gillen et al., 2018; Bechavod et al., 2020) focuses on online learning of individually fair models.
Revised: (2021) propose an algorithm with generalization bounds for fairness and accuracy that requires polynomially many queries to cost-sensitive classiﬁcation oracle, while other work (Gillen et al., 2018; Bechavod et al., 2020) focuses on online learning of individually fair models.

Original: Lastly, Lahoti et al.
Revised: Lastly, Lahoti et al.

Original: (2019) use examples of similar pairs ( s, s (cid:48) ) to directly learn a representation that aims to ensure geometric similarity for similar pairs while preserving nearest neighbors in the input space.
Revised: (2019) use examples of similar pairs ( s, s (cid:48) ) to directly learn a representation that aims to ensure geometric similarity for similar pairs while preserving nearest neighbors in the input space.

Original: This approach is difﬁcult to use for non-tabular data, in which nearest neighbor relations do not necessarily carry semantic meaning.
Revised: This approach is difﬁcult to use for non-tabular data, in which nearest neighbor relations do not necessarily carry semantic meaning.

Original: In contrast to these works, we are not only interested in training fair classiﬁers, but also aim to learn the similarity function which approximates human intuitions about fairness for the task.
Revised: In contrast to these works, we are not only interested in training fair classiﬁers, but also aim to learn the similarity function which approximates human intuitions about fairness for the task.

Original: Enforcing fairness constraints Garg et al.
Revised: Enforcing fairness constraints Garg et al.

Original: (2019) suggest enforcing fairness constraints via censoring terms indicative of demographic groups, and by extending logit pairing (Kannan et al., 2018) to counterfactual logit pairing (CLP): during training, a classiﬁer f with logits l is regularized by the term
Revised: (2019) suggest enforcing fairness constraints via censoring terms indicative of demographic groups, and by extending logit pairing (Kannan et al., 2018) to counterfactual logit pairing (CLP): during training, a classiﬁer f with logits l is regularized by the term

Original: λ || l ( s ) − l ( s (cid:48) )
Revised: λ || l ( s ) − l ( s (cid:48) )

Original: || 2 for similar datapoints s and s (cid:48) .
Revised: || 2 for similar datapoints s and s (cid:48) .

Original: Yurochkin et al.
Revised: Yurochkin et al.

Original: and Yurochkin & Sun (2021) use distributionally robust optimization and transport-based regularization respectively to train a toxicity classiﬁer with distributional fairness guarantees for bilinear fairness metric similar to the ones from (Mukherjee et al., 2020).
Revised: and Yurochkin & Sun (2021) use distributionally robust optimization and transport-based regularization respectively to train a toxicity classiﬁer with distributional fairness guarantees for bilinear fairness metric similar to the ones from (Mukherjee et al., 2020).

Original: (Ruoss et al., 2020; Yeom & Fredrikson, 2021; Peychev et al., 2022) not only enforce, but also certify the adherence to individual fairness constraints expressed in logical formulas, weighted L p metrics or similarity sets deﬁned in the latent space of a generative model.
Revised: (Ruoss et al., 2020; Yeom & Fredrikson, 2021; Peychev et al., 2022) not only enforce, but also certify the adherence to individual fairness constraints expressed in logical formulas, weighted L p metrics or similarity sets deﬁned in the latent space of a generative model.

Original: However, except for CLP and censoring, all of these methods require a known similarity metric with a speciﬁc functional form, which is not always available in practice.
Revised: However, except for CLP and censoring, all of these methods require a known similarity metric with a speciﬁc functional form, which is not always available in practice.

Original:  M ETHOD
Revised:  M ETHOD

Original: This section presents our end-to-end framework for generating candidate pairs for individual fairness speciﬁcations for a given text classiﬁcation task, identifying candidates that indeed represent fairness constraints for that task and using them for training individually fair downstream classiﬁers.
Revised: This section presents our end-to-end framework for generating candidate pairs for individual fairness speciﬁcations for a given text classiﬁcation task, identifying candidates that indeed represent fairness constraints for that task and using them for training individually fair downstream classiﬁers.

Original: In Sec. 3.
Revised: In Sec. 3.

Original: we expand on existing word replacement deﬁnitions of individual fairness in text classiﬁcation by generating further candidate constraints.
Revised: we expand on existing word replacement deﬁnitions of individual fairness in text classiﬁcation by generating further candidate constraints.

Original: Next, in Sec.
Revised: Next, in Sec.

Original: 3.2 we leverage human feedback to learn an approximate similarity function ˆ ϕ to identify a set of relevant constraints ˆ C r ⊆ C e .
Revised: 3.2 we leverage human feedback to learn an approximate similarity function ˆ ϕ to identify a set of relevant constraints ˆ C r ⊆ C e .

Original: Finally, in Sec.
Revised: Finally, in Sec.

Original: 3.3 we train a fairness-aware classiﬁer f using CLP on the ﬁltered constraint set ˆ C r .
Revised: 3.3 we train a fairness-aware classiﬁer f using CLP on the ﬁltered constraint set ˆ C r .

Original: 3. E XPANDING FAIRNESS CONSTRAINTS
Revised: 3. E XPANDING FAIRNESS CONSTRAINTS

Original: We expand the word replacement based constraint set from (Garg et al., 2019) by implementing three different ways to modify markers of demographic groups mentioned in a sentence s : an extended word replacement list, unsupervised style transfer, and zero-shot modiﬁcation using GPT-3.
Revised: We expand the word replacement based constraint set from (Garg et al., 2019) by implementing three different ways to modify markers of demographic groups mentioned in a sentence s : an extended word replacement list, unsupervised style transfer, and zero-shot modiﬁcation using GPT-3.

Original: Word Replacement First, we enrich the word replacement method by using the extensive lists of words associated with different protected demographic groups presented in (Smith et al., 2022).
Revised: Word Replacement First, we enrich the word replacement method by using the extensive lists of words associated with different protected demographic groups presented in (Smith et al., 2022).

Original: The pool of terms is substantially larger than the 50 identity terms from (Garg et al., 2019).
Revised: The pool of terms is substantially larger than the 50 identity terms from (Garg et al., 2019).

Original: We modify markers of group j in a comment s by replacing all words on the respective list of words associated with group j with words from the list associated with the target group j (cid:48) .
Revised: We modify markers of group j in a comment s by replacing all words on the respective list of words associated with group j with words from the list associated with the target group j (cid:48) .

Original: Unsupervised Style Transfer Second, we use an unsupervised style transfer approach based on prototype editing (see (Jin et al., 2022) for an extensive review on style transfer) to transform markers of a demographic group j in a sentence s to markers of another demographic group j (cid:48) , creating a new sentence s (cid:48) .
Revised: Unsupervised Style Transfer Second, we use an unsupervised style transfer approach based on prototype editing (see (Jin et al., 2022) for an extensive review on style transfer) to transform markers of a demographic group j in a sentence s to markers of another demographic group j (cid:48) , creating a new sentence s (cid:48) .

Original: Prototype editing identiﬁes markers a of a source style A in a text s , and substitutes them by markers a (cid:48) of a target style A (cid:48) .
Revised: Prototype editing identiﬁes markers a of a source style A in a text s , and substitutes them by markers a (cid:48) of a target style A (cid:48) .

Original: It can achieve unsupervised style transfer with minimal modiﬁcations to a source sentence s .
Revised: It can achieve unsupervised style transfer with minimal modiﬁcations to a source sentence s .

Original: Importantly, modern prototype editing algorithms rely solely on a style classiﬁer to deﬁne their notion of style, so that they can transfer mentions of demographic groups when used with a classiﬁer trained to identify such mentions.
Revised: Importantly, modern prototype editing algorithms rely solely on a style classiﬁer to deﬁne their notion of style, so that they can transfer mentions of demographic groups when used with a classiﬁer trained to identify such mentions.

Original: Our approach consists of three phases.
Revised: Our approach consists of three phases.

Original: First, we train a multi-headed RoBERTa-based (Liu et al., 2019)
Revised: First, we train a multi-headed RoBERTa-based (Liu et al., 2019)

Original: classiﬁer c to predict the presence of mentions of demographic groups j in a sentence s .
Revised: classiﬁer c to predict the presence of mentions of demographic groups j in a sentence s .

Original: Second, following (Reid & Zhong, 2021), we train a BART-based (Lewis et al., 2020) group-conditioned generator g ( s t , j ) : given a sentence s consisting of n tokens that mentions group j , we remove mentions of demographic groups from s by masking tokens at positions k with above-average attention weights a k ≥ ¯ a , where a k represents the maximum attention weight at position k in the penultimate layer of c and the average is taken over all token positions for the sentence s .
Revised: Second, following (Reid & Zhong, 2021), we train a BART-based (Lewis et al., 2020) group-conditioned generator g ( s t , j ) : given a sentence s consisting of n tokens that mentions group j , we remove mentions of demographic groups from s by masking tokens at positions k with above-average attention weights a k ≥ ¯ a , where a k represents the maximum attention weight at position k in the penultimate layer of c and the average is taken over all token positions for the sentence s .

Original: After merging consecutive masks, this yields a template s t on which g ( s t , j ) is trained to reconstruct s .
Revised: After merging consecutive masks, this yields a template s t on which g ( s t , j ) is trained to reconstruct s .

Original: Third, we modify sentences s that mention group j to instead mention group j (cid:48) by ﬁrst creating a template s (cid:48) t as in (Lee, 2020): we iteratively mask the tokens in s for which masking most reduces the likelihood p c ( j | s (cid:48) t ) of j according to the group-presence classiﬁer c , until it falls below a ﬁxed threshold T .
Revised: Third, we modify sentences s that mention group j to instead mention group j (cid:48) by ﬁrst creating a template s (cid:48) t as in (Lee, 2020): we iteratively mask the tokens in s for which masking most reduces the likelihood p c ( j | s (cid:48) t ) of j according to the group-presence classiﬁer c , until it falls below a ﬁxed threshold T .

Original: Then, we generate s (cid:48) as g ( s (cid:48) t , j (cid:48) ) using beam search with width 5 and selecting according to p c ( j (cid:48) | s (cid:48) )
Revised: Then, we generate s (cid:48) as g ( s (cid:48) t , j (cid:48) ) using beam search with width 5 and selecting according to p c ( j (cid:48) | s (cid:48) )

Original: − p c ( j | s (cid:48) ) , the difference in likelihoods assigned to j (cid:48) and j for s (cid:48) by c .
Revised: − p c ( j | s (cid:48) ) , the difference in likelihoods assigned to j (cid:48) and j for s (cid:48) by c .

Original: We use this approach rather than the attention-based masking from (Reid & Zhong, 2021) for the third step because the attention values a k are shared between the prediction heads of c for all groups j .
Revised: We use this approach rather than the attention-based masking from (Reid & Zhong, 2021) for the third step because the attention values a k are shared between the prediction heads of c for all groups j .

Original: This means that attention-based masking might mask tokens related to a third group j (cid:48)(cid:48) instead of tokens related to j for sentences s in which multiple demographic groups are mentioned.
Revised: This means that attention-based masking might mask tokens related to a third group j (cid:48)(cid:48) instead of tokens related to j for sentences s in which multiple demographic groups are mentioned.

Original: While unlikely to be very detrimental during the training of the class-conditioned generator g , using attention for creating templates s t for g can thus cause group transfer to target the wrong source group j .
Revised: While unlikely to be very detrimental during the training of the class-conditioned generator g , using attention for creating templates s t for g can thus cause group transfer to target the wrong source group j .

Original: The unsupervised style transfer approach promises multiple advantages.
Revised: The unsupervised style transfer approach promises multiple advantages.

Original: First, style transfer is likely to reproduce terms encountered during training, helping it to pick up on rare demographic terms that are particular to its training distribution which can be chosen to equal the training distribution for downstream tasks.
Revised: First, style transfer is likely to reproduce terms encountered during training, helping it to pick up on rare demographic terms that are particular to its training distribution which can be chosen to equal the training distribution for downstream tasks.

Original: In addition, unlike concurrent work by Qian et al. (2022), unsupervised style transfer only requires labels y j ( s ) indicating the mention of demographic group j in a sentence s rather than large amount of expensive human-produced examples of demographic group transfer.
Revised: In addition, unlike concurrent work by Qian et al. (2022), unsupervised style transfer only requires labels y j ( s ) indicating the mention of demographic group j in a sentence s rather than large amount of expensive human-produced examples of demographic group transfer.

Original: This allows us to modify mentions of demographic groups across axes like gender, religion and race, rather than restricting ourselves to changes within each of these axes.
Revised: This allows us to modify mentions of demographic groups across axes like gender, religion and race, rather than restricting ourselves to changes within each of these axes.

Original: GPT-

Revised: GPT-

Original: Lastly, we make use of GPT-3 (Brown et al., 2020) to transform markers of protected demographic groups in a zero-shot fashion.
Revised: Lastly, we make use of GPT-3 (Brown et al., 2020) to transform markers of protected demographic groups in a zero-shot fashion.

Original: We use three methods for generating pairs based on
Revised: We use three methods for generating pairs based on

Original: GPT-3.
Revised: GPT-3.

Original: First, we prepend an example s mentioning group j with the prompt "Please rewrite the following sentence to be about j (cid:48) rather than j ".
Revised: First, we prepend an example s mentioning group j with the prompt "Please rewrite the following sentence to be about j (cid:48) rather than j ".

Original: Second, we use GPT-3’s edit mode 1 with a similar prompt.
Revised: Second, we use GPT-3’s edit mode 1 with a similar prompt.

Original: Lastly, we generate candidate modiﬁcations s (cid:48) by word replacement, and postprocess them using GPT-3’s edit mode with the prompt "Fix grammatical errors and logical inconsistencies".
Revised: Lastly, we generate candidate modiﬁcations s (cid:48) by word replacement, and postprocess them using GPT-3’s edit mode with the prompt "Fix grammatical errors and logical inconsistencies".

Original: While the GPT-3 approach does not automatically adapt to the relevant distribution of demographic terms, it does not require any additional data, or training of language models.
Revised: While the GPT-3 approach does not automatically adapt to the relevant distribution of demographic terms, it does not require any additional data, or training of language models.

Original: To ensure that mentions of demographic group j were indeed replaced by j (cid:48) going from s to s (cid:48) , we use the same grouppresence classiﬁer c as for the unsupervised style transfer approach to heuristically identify successful group transfer and discard pairs ( s, s (cid:48) ) for which group transfer failed, for all three of our approaches.
Revised: To ensure that mentions of demographic group j were indeed replaced by j (cid:48) going from s to s (cid:48) , we use the same grouppresence classiﬁer c as for the unsupervised style transfer approach to heuristically identify successful group transfer and discard pairs ( s, s (cid:48) ) for which group transfer failed, for all three of our approaches.

Original: Implementation details are described in App.
Revised: Implementation details are described in App.

Original: B and App.
Revised: B and App.

Original: E contains examples of generated sentences.
Revised: E contains examples of generated sentences.

Original: 3. L EARNING THE SIMILARITY FUNCTION
Revised: 3. L EARNING THE SIMILARITY FUNCTION

Original: In order to evaluate to what extent the proposed similarity criteria align with human intuition, we leverage human feedback, via a crowdsourcing study described in more detail in Sec. 4, to obtain labels ϕ
Revised: In order to evaluate to what extent the proposed similarity criteria align with human intuition, we leverage human feedback, via a crowdsourcing study described in more detail in Sec. 4, to obtain labels ϕ

Original: ( s, s (cid:48) ) which indicate whether the pair ( s, s (cid:48) ) should be treated similarly for the sake of individual fairness ( ϕ ( s, s (cid:48) )
Revised: ( s, s (cid:48) ) which indicate whether the pair ( s, s (cid:48) ) should be treated similarly for the sake of individual fairness ( ϕ ( s, s (cid:48) )

Original: = 0 ) or not ( ϕ ( s, s (cid:48) )
Revised: = 0 ) or not ( ϕ ( s, s (cid:48) )

Original: = 1 ).
Revised: = 1 ).

Original: In particular, identifying which pairs align with human labelers’ intuition about fairness can help detect asymmetric counterfactuals, as well as failed attempts at style transfer for which s (cid:48) cannot be interpreted as a meaningful modiﬁcation of s .
Revised: In particular, identifying which pairs align with human labelers’ intuition about fairness can help detect asymmetric counterfactuals, as well as failed attempts at style transfer for which s (cid:48) cannot be interpreted as a meaningful modiﬁcation of s .

Original: Since labeling all of C e can be prohibitively expensive, we train a probabilistic model p ˆ ϕ ( s, s (cid:48) ) on a labeled subset of C e and use it to predict ϕ
Revised: Since labeling all of C e can be prohibitively expensive, we train a probabilistic model p ˆ ϕ ( s, s (cid:48) ) on a labeled subset of C e and use it to predict ϕ

Original: ( s, s (cid:48) )
Revised: ( s, s (cid:48) )

Original: for the remaining pairs ( s, s (cid:48) )
Revised: for the remaining pairs ( s, s (cid:48) )

Original: The similarity function ϕ that speciﬁes individual fairness is then approximated as ˆ ϕ
Revised: The similarity function ϕ that speciﬁes individual fairness is then approximated as ˆ ϕ

Original: ( s, s (cid:48) ) :
Revised: ( s, s (cid:48) ) :

Original: = 1 ⇔ p ˆ ϕ ( s, s (cid:48) )
Revised: = 1 ⇔ p ˆ ϕ ( s, s (cid:48) )

Original: > t for a given classiﬁcation threshold t .
Revised: > t for a given classiﬁcation threshold t .

Original: Instead of using bilinear logits based on features for both s and s (cid:48)
Revised: Instead of using bilinear logits based on features for both s and s (cid:48)

Original: (Mukherjee et al., 2020), we tokenize s and s (cid:48) and train a BERT-based classiﬁer on the concatenated tokens.
Revised: (Mukherjee et al., 2020), we tokenize s and s (cid:48) and train a BERT-based classiﬁer on the concatenated tokens.

Original: This allows for a more holistic comparison between s and s (cid:48) as attention heads can directly attend to differences between s and s (cid:48) in earlier layers (see App.
Revised: This allows for a more holistic comparison between s and s (cid:48) as attention heads can directly attend to differences between s and s (cid:48) in earlier layers (see App.

Original: C for more details).
Revised: C for more details).

Original: Active Learning from human fairness judgments To make optimal use of costly human queries,
Revised: Active Learning from human fairness judgments To make optimal use of costly human queries,

Original: we employ active learning when training the classiﬁer ˆ ϕ .
Revised: we employ active learning when training the classiﬁer ˆ ϕ .

Original: We use the variation ratios 1 − max y p ( y | x ) to select the data points with the largest uncertainty about the correct label, an approach that is often dubbed Least Conﬁdence (LC) and estimate p using a Dropout-based Monte-Carlo estimate (Gal & Ghahramani, 2016; Gal et al., 2017).
Revised: We use the variation ratios 1 − max y p ( y | x ) to select the data points with the largest uncertainty about the correct label, an approach that is often dubbed Least Conﬁdence (LC) and estimate p using a Dropout-based Monte-Carlo estimate (Gal & Ghahramani, 2016; Gal et al., 2017).

Original: As in (Grießhaber et al., 2020), we aim to save resources by precomputing features for the BERT-part of ˆ ϕ and performing Monte-Carlo dropout on the classiﬁcation head of ˆ ϕ only.
Revised: As in (Grießhaber et al., 2020), we aim to save resources by precomputing features for the BERT-part of ˆ ϕ and performing Monte-Carlo dropout on the classiﬁcation head of ˆ ϕ only.

Original: Concretely, after training ˆ ϕ on an initial randomly selected dataset
Revised: Concretely, after training ˆ ϕ on an initial randomly selected dataset

Original: D 0 ⊂ C e with labels ϕ
Revised: D 0 ⊂ C e with labels ϕ

Original: ( s, s (cid:48) ) , we iteratively select new unlabeled training data D i ⊂ C e \ (cid:83)
Revised: ( s, s (cid:48) ) , we iteratively select new unlabeled training data D i ⊂ C e \ (cid:83)

Original: j<i D j with |
Revised: j<i D j with |

Original: D i | = 1000 , based on the variation ratios, query labels for D i , and retrain ˆ ϕ on D i .
Revised: D i | = 1000 , based on the variation ratios, query labels for D i , and retrain ˆ ϕ on D i .

Original: As different annotators can disagree about whether or not two sentences s and s (cid:48) should be treated similarly, we use a majority vote for evaluation.
Revised: As different annotators can disagree about whether or not two sentences s and s (cid:48) should be treated similarly, we use a majority vote for evaluation.

Original: Inspired by Chen et al.
Revised: Inspired by Chen et al.

Original: (2022)’s approach for dealing with noise in crowdsourcing, we use a single human query per pair ( s, s (cid:48) ) during active learning, and relabel pairs that are especially likely to be mislabeled after active learning has concluded.
Revised: (2022)’s approach for dealing with noise in crowdsourcing, we use a single human query per pair ( s, s (cid:48) ) during active learning, and relabel pairs that are especially likely to be mislabeled after active learning has concluded.

Original: 3. T RAINING A FAIR ( ER ) CLASSIFIER
Revised: 3. T RAINING A FAIR ( ER ) CLASSIFIER

Original: Finally, we train a fairness-aware classiﬁer by accounting for the constraints deﬁned by the learned similarity function.
Revised: Finally, we train a fairness-aware classiﬁer by accounting for the constraints deﬁned by the learned similarity function.

Original: Speciﬁcally, we deﬁne the ﬁltered constraint set ˆ C r = { ( s, s (cid:48) )
Revised: Speciﬁcally, we deﬁne the ﬁltered constraint set ˆ C r = { ( s, s (cid:48) )

Original: ∈
Revised: ∈

Original: C e : ˆ ϕ ( s, s (cid:48) )
Revised: C e : ˆ ϕ ( s, s (cid:48) )

Original: = 0 } .
Revised: = 0 } .

Original: We then train a RoBERTa-based (Liu et al., 2019) downstream classiﬁer f , empirically enforcing the constraints implied by ˆ C r by using the Counterfactual Logit Pairing (CLP) regularizer λ (cid:80) s,s (cid:48) :
Revised: We then train a RoBERTa-based (Liu et al., 2019) downstream classiﬁer f , empirically enforcing the constraints implied by ˆ C r by using the Counterfactual Logit Pairing (CLP) regularizer λ (cid:80) s,s (cid:48) :

Original: φ ( s,s (cid:48) )
Revised: φ ( s,s (cid:48) )

Original: =

Revised: =

Original: || l ( s ) − l ( s (cid:48) )
Revised: || l ( s ) − l ( s (cid:48) )

Original: || 2 of Garg et al.
Revised: || 2 of Garg et al.

Original: Here, l represents the logits of the classiﬁer f .
Revised: Here, l represents the logits of the classiﬁer f .

Original: If ˆ ϕ accurately approximates human fairness intuitions, this approach avoids enforcing constraints implied by asymmetric counterfactuals ( s, s (cid:48) )
Revised: If ˆ ϕ accurately approximates human fairness intuitions, this approach avoids enforcing constraints implied by asymmetric counterfactuals ( s, s (cid:48) )

Original: (pairs with ϕ ( s, s (cid:48) )
Revised: (pairs with ϕ ( s, s (cid:48) )

Original: = 1 ) while properly enforcing actual constraints (pairs with ϕ ( s, s (cid:48) )
Revised: = 1 ) while properly enforcing actual constraints (pairs with ϕ ( s, s (cid:48) )

Original: = 0 ).
Revised: = 0 ).

Original: Further training details can be found in App.
Revised: Further training details can be found in App.

Original: D.
Revised: D.

Original:  E XPERIMENTS
Revised:  E XPERIMENTS

Original: In this section, we experimentally evaluate our framework in the context of toxicity classiﬁcation.
Revised: In this section, we experimentally evaluate our framework in the context of toxicity classiﬁcation.

Original: Our key ﬁndings are: (i) the pairs generated by our method cover a wider range of perturbations compared to word replacement pairs only (Sec. 4.2), while mostly aligning with human intuition about individual fairness in toxicity classiﬁcation (Sec. 4.3); (ii) the underlying similarity function ϕ can be approximated by active learning from human judgements (Sec. 4.4), and (iii) the produced constraints can be used to enforce individual fairness on a downstream toxicity classiﬁer (Sec. 4.5).
Revised: Our key ﬁndings are: (i) the pairs generated by our method cover a wider range of perturbations compared to word replacement pairs only (Sec. 4.2), while mostly aligning with human intuition about individual fairness in toxicity classiﬁcation (Sec. 4.3); (ii) the underlying similarity function ϕ can be approximated by active learning from human judgements (Sec. 4.4), and (iii) the produced constraints can be used to enforce individual fairness on a downstream toxicity classiﬁer (Sec. 4.5).

Original: 4. D ATASET AND SETUP
Revised: 4. D ATASET AND SETUP

Original: We focus on toxicity classiﬁcation on the Jigsaw Civil Comments dataset 2 .
Revised: We focus on toxicity classiﬁcation on the Jigsaw Civil Comments dataset 2 .

Original: The dataset contains around 2 million online comments s , as well as labels toxic ( s ) indicating the fraction of human labelers that considered comment s toxic.
Revised: The dataset contains around 2 million online comments s , as well as labels toxic ( s ) indicating the fraction of human labelers that considered comment s toxic.

Original: We deﬁne binary classiﬁcation labels y ( s ) :
Revised: We deﬁne binary classiﬁcation labels y ( s ) :

Original: = toxic ( s ) > 0 .
Revised: = toxic ( s ) > 0 .

Original: A subset D of the Civil Comments dataset also contains labels A j ( s ) that indicate the fraction of human labelers that think comment s mentions the demographic group j .
Revised: A subset D of the Civil Comments dataset also contains labels A j ( s ) that indicate the fraction of human labelers that think comment s mentions the demographic group j .

Original: We again deﬁne binary classiﬁcation labels as y j ( s ) :
Revised: We again deﬁne binary classiﬁcation labels as y j ( s ) :

Original: = A j ( s ) > 0 .
Revised: = A j ( s ) > 0 .

Original: 5 for these comments, and use them to train our grouppresence classiﬁer c .
Revised: 5 for these comments, and use them to train our grouppresence classiﬁer c .

Original: We only consider the subset D (cid:48)
Revised: We only consider the subset D (cid:48)

Original: ⊂ D for which no nan-values are contained in the dataset, and the RoBERTa-tokenized version of s does not exceed a length of 64 tokens.
Revised: ⊂ D for which no nan-values are contained in the dataset, and the RoBERTa-tokenized version of s does not exceed a length of 64 tokens.

Original: We furthermore split D (cid:48) into a training set containing 75% of D (cid:48) and a test set containing the other 25% .
Revised: We furthermore split D (cid:48) into a training set containing 75% of D (cid:48) and a test set containing the other 25% .

Original: To build the pool C e of candidate pairs, for word replacement and style transfer, we attempt to produce modiﬁed comments s (cid:48)
Revised: To build the pool C e of candidate pairs, for word replacement and style transfer, we attempt to produce modiﬁed comments s (cid:48)

Original: j (cid:48) mentioning group j (cid:48) for each s ∈ D (cid:48) for all demographic groups j with y j ( s ) = 1 and all possible target groups j (cid:48) .
Revised: j (cid:48) mentioning group j (cid:48) for each s ∈ D (cid:48) for all demographic groups j with y j ( s ) = 1 and all possible target groups j (cid:48) .

Original: For GPT-3, we use a subset of D (cid:48) due to limited resources.
Revised: For GPT-3, we use a subset of D (cid:48) due to limited resources.

Original: We then combine 42 , 500 randomly selected pairs ( s, s (cid:48) ) with s in the training part of D (cid:48) for word replacement and style transfer each and a total of 15 , 000 pairs ( s, s (cid:48) ) for our three GPTapproaches, to form the set of candidate constraints C e .
Revised: We then combine 42 , 500 randomly selected pairs ( s, s (cid:48) ) with s in the training part of D (cid:48) for word replacement and style transfer each and a total of 15 , 000 pairs ( s, s (cid:48) ) for our three GPTapproaches, to form the set of candidate constraints C e .

Original: We similarly construct a set of test constraints of a fourth of C e ’s size from the test portion of D (cid:48) .
Revised: We similarly construct a set of test constraints of a fourth of C e ’s size from the test portion of D (cid:48) .

Original: More technical details can be found in App.
Revised: More technical details can be found in App.

Original: B.
Revised: B.

Original: Throughout this paper, whenever we report individual fairness for a classiﬁer, we refer to the proportion of pairs ( s, s (cid:48) ) in a test pool of similar pairs for which f ( s ) =
Revised: Throughout this paper, whenever we report individual fairness for a classiﬁer, we refer to the proportion of pairs ( s, s (cid:48) ) in a test pool of similar pairs for which f ( s ) =

Original: f ( s (cid:48) ) rather than f ( s ) (cid:54) =
Revised: f ( s (cid:48) ) rather than f ( s ) (cid:54) =

Original: f ( s (cid:48) ) .
Revised: f ( s (cid:48) ) .

Original: This metric captures that every instance of treating similar pairs differently is harmful.
Revised: This metric captures that every instance of treating similar pairs differently is harmful.

Original: It is also a natural upper bound for certiﬁed individual fairness (Ruoss et al., 2020; Peychev et al., 2022) and prediction consistency (Yurochkin & Sun, 2021) which consider equal predictions across all comments s (cid:48) similar to a given comment s for simpler formal speciﬁcations of similarity.
Revised: It is also a natural upper bound for certiﬁed individual fairness (Ruoss et al., 2020; Peychev et al., 2022) and prediction consistency (Yurochkin & Sun, 2021) which consider equal predictions across all comments s (cid:48) similar to a given comment s for simpler formal speciﬁcations of similarity.

Original: 4. C OVERAGE OF GENERATED FAIRNESS CONSTRAINTS
Revised: 4. C OVERAGE OF GENERATED FAIRNESS CONSTRAINTS

Original: To validate that our approach covers a wider range of perturbations than word replacement, we train 4 different toxicity classiﬁers, using CLP with different constraint sets: our full constraint set C e , as well as C 1 , C 2 , C 3 of the same size as C e .
Revised: To validate that our approach covers a wider range of perturbations than word replacement, we train 4 different toxicity classiﬁers, using CLP with different constraint sets: our full constraint set C e , as well as C 1 , C 2 , C 3 of the same size as C e .

Original: The pairs in C 1 , also referred to as WR 50 , were generated by word replacement based on the 50 identity terms from (Garg et al., 2019) 3 ; the pairs in C 2 , also referred to as WR, were generated by word replacement by using the larger list of terms of (Smith et al., 2022); and the pairs in C 3 , also referred to as ST, were created by the style transfer method.
Revised: The pairs in C 1 , also referred to as WR 50 , were generated by word replacement based on the 50 identity terms from (Garg et al., 2019) 3 ; the pairs in C 2 , also referred to as WR, were generated by word replacement by using the larger list of terms of (Smith et al., 2022); and the pairs in C 3 , also referred to as ST, were created by the style transfer method.

Original: We cross-evaluate the performance of 4 classiﬁers trained with CLP with λ = 5 , using each of the constraint sets C i in terms of test-time individual fairness measured as the proportion of similar pairs ( s, s (cid:48) ) for which f ( s ) =
Revised: We cross-evaluate the performance of 4 classiﬁers trained with CLP with λ = 5 , using each of the constraint sets C i in terms of test-time individual fairness measured as the proportion of similar pairs ( s, s (cid:48) ) for which f ( s ) =

Original: f ( s (cid:48) ) in C e and each of the 4 constraint sets C i , and balanced accuracy.
Revised: f ( s (cid:48) ) in C e and each of the 4 constraint sets C i , and balanced accuracy.

Original: Table 1 reports these numbers and the performance of a “baseline” model, trained without CLP.
Revised: Table 1 reports these numbers and the performance of a “baseline” model, trained without CLP.

Original: The results in Table 1 indicate that each classiﬁer achieves high individual fairness when evaluated on test constraint pairs corresponding to the constraints used during its training ( in italics ) but performs worse when evaluated on other constraint pairs.
Revised: The results in Table 1 indicate that each classiﬁer achieves high individual fairness when evaluated on test constraint pairs corresponding to the constraints used during its training ( in italics ) but performs worse when evaluated on other constraint pairs.

Original: This indicates that enforcing the similarity notions corresponding to different pair-generation methods can produce substantially different classiﬁers and that the adherence to individual fairness does not perfectly generalize across our generation methods.
Revised: This indicates that enforcing the similarity notions corresponding to different pair-generation methods can produce substantially different classiﬁers and that the adherence to individual fairness does not perfectly generalize across our generation methods.

Original: We note that training with CLP on C e or our style transfer pairs C 3 does not just yield signiﬁcantly improved constraint adherence on C 3 , but also generalizes well to C 1 and C 2 (see the numbers in bold), without losing much downstream accuracy.
Revised: We note that training with CLP on C e or our style transfer pairs C 3 does not just yield signiﬁcantly improved constraint adherence on C 3 , but also generalizes well to C 1 and C 2 (see the numbers in bold), without losing much downstream accuracy.

Original: More details can be found in App.
Revised: More details can be found in App.

Original: B and D.
Revised: B and D.

Original: Training/Evaluation
Revised: Training/Evaluation

Original: BA WR
Revised: BA WR

Original: [Table]
Revised: [Table]

Original: 4. R ELEVANCE OF GENERATED FAIRNESS CONSTRAINTS
Revised: 4. R ELEVANCE OF GENERATED FAIRNESS CONSTRAINTS

Original: To validate that the fairness constraints we generated are relevant and intuitive, we conducted a human evaluation using Amazon’s MechanicalTurk.
Revised: To validate that the fairness constraints we generated are relevant and intuitive, we conducted a human evaluation using Amazon’s MechanicalTurk.

Original: Workers were presented with a pair ( s, s (cid:48) ) consisting of a comment s from the Civil Comments dataset
Revised: Workers were presented with a pair ( s, s (cid:48) ) consisting of a comment s from the Civil Comments dataset

Original: [Table]
Revised: [Table]

Original: as well as a modiﬁed version s (cid:48) and asked about whether they believe that the two comments should be treated similarly.
Revised: as well as a modiﬁed version s (cid:48) and asked about whether they believe that the two comments should be treated similarly.

Original: Treatment was framed in terms of toxicity classiﬁcation for content moderation, ensuring that we verify the relevance of the learned notions relevant to this speciﬁc task.
Revised: Treatment was framed in terms of toxicity classiﬁcation for content moderation, ensuring that we verify the relevance of the learned notions relevant to this speciﬁc task.

Original: Workers were also asked whether the demographic group was transferred correctly from a given j to a given j (cid:48) and whether the content of s has been preserved in s (cid:48) apart from the demographic group transfer.
Revised: Workers were also asked whether the demographic group was transferred correctly from a given j to a given j (cid:48) and whether the content of s has been preserved in s (cid:48) apart from the demographic group transfer.

Original: Further details can be found in App. A.
Revised: Further details can be found in App. A.

Original: We collected human feedback for a set S containing a total of 720 pairs ( s, s (cid:48) ) with 240 each produced by our style transfer approach, GPT-3 in a zero-shot fashion, and word replacement using the list from (Garg et al., 2019) 4 .
Revised: We collected human feedback for a set S containing a total of 720 pairs ( s, s (cid:48) ) with 240 each produced by our style transfer approach, GPT-3 in a zero-shot fashion, and word replacement using the list from (Garg et al., 2019) 4 .

Original: The 240 pairs per method were split into 80 pairs for each of the axes male ↔ female, christian ↔ muslim and black ↔ white, half of which with s mentioning the ﬁrst demographic group and half of them with s mentioning the second group.
Revised: The 240 pairs per method were split into 80 pairs for each of the axes male ↔ female, christian ↔ muslim and black ↔ white, half of which with s mentioning the ﬁrst demographic group and half of them with s mentioning the second group.

Original: Each pair ( s, s (cid:48) ) was shown to nine workers and responses aggregated by a majority vote.
Revised: Each pair ( s, s (cid:48) ) was shown to nine workers and responses aggregated by a majority vote.

Original: Table 2 reports how often workers afﬁrmatively answered the three questions from the previous paragraph for different methods.
Revised: Table 2 reports how often workers afﬁrmatively answered the three questions from the previous paragraph for different methods.

Original: [Table]
Revised: [Table]

Original: The results in Table 2 demonstrate that all three methods produce relevant fairness constraints, according to a majority of annotators.
Revised: The results in Table 2 demonstrate that all three methods produce relevant fairness constraints, according to a majority of annotators.

Original: At the same time, the workers’ feedback indicates that the methods were mostly successful at modifying the mentioned demographic group, and at preserving content.
Revised: At the same time, the workers’ feedback indicates that the methods were mostly successful at modifying the mentioned demographic group, and at preserving content.

Original: While word replacement generally performs better in terms of group transfer and content preservation, this only translates to a small advantage in terms of producing pairs that represent actual fairness constraints ( ϕ ( s, s (cid:48) )
Revised: While word replacement generally performs better in terms of group transfer and content preservation, this only translates to a small advantage in terms of producing pairs that represent actual fairness constraints ( ϕ ( s, s (cid:48) )

Original: = 0) .
Revised: = 0) .

Original: See Tables A.1 and A.2 for more detailed results.
Revised: See Tables A.1 and A.2 for more detailed results.

Original: 4. L EARNING THE SIMILARITY FUNCTION
Revised: 4. L EARNING THE SIMILARITY FUNCTION

Original: Since labeling pairs through human feedback is costly, obtaining labels for all candidate pairs in C e can be prohibitively expensive.
Revised: Since labeling pairs through human feedback is costly, obtaining labels for all candidate pairs in C e can be prohibitively expensive.

Original: Therefore, we employed our active learning approach to efﬁciently train our classiﬁer ˆ ϕ from relatively few human judgments, with the goal of using it to identify pairs that represent actual fairness constraints on the remaining pool of candidates.
Revised: Therefore, we employed our active learning approach to efﬁciently train our classiﬁer ˆ ϕ from relatively few human judgments, with the goal of using it to identify pairs that represent actual fairness constraints on the remaining pool of candidates.

Original: We conducted 6 steps of active learning with 1000 queries each, selected by the LC criterion.
Revised: We conducted 6 steps of active learning with 1000 queries each, selected by the LC criterion.

Original: Failed queries were discarded, so that we ended up with 5490 labeled pairs (( s, s (cid:48) ) , ϕ ( s, s (cid:48) )) .
Revised: Failed queries were discarded, so that we ended up with 5490 labeled pairs (( s, s (cid:48) ) , ϕ ( s, s (cid:48) )) .

Original: Details can be found in App.
Revised: Details can be found in App.

Original: C.
Revised: C.

Original: We evaluate our learned classiﬁer on a test set T consisting of 500 randomly selected pairs from
Revised: We evaluate our learned classiﬁer on a test set T consisting of 500 randomly selected pairs from

Original: C e for which ﬁve annotators were asked to predict the American’s fairness judgment.
Revised: C e for which ﬁve annotators were asked to predict the American’s fairness judgment.

Original: We labeled pairs based on whether the majority thought they should be treated similarly ( ϕ ( s, s (cid:48) )
Revised: We labeled pairs based on whether the majority thought they should be treated similarly ( ϕ ( s, s (cid:48) )

Original: = 0 ), or not ( ϕ ( s, s (cid:48) )
Revised: = 0 ), or not ( ϕ ( s, s (cid:48) )

Original: = 1 ).
Revised: = 1 ).

Original: Because 78 .
Revised: Because 78 .

Original: 8% of the pairs ( s, s (cid:48) )
Revised: 8% of the pairs ( s, s (cid:48) )

Original: in T represented fairness constraints ( ϕ ( s, s (cid:48) )
Revised: in T represented fairness constraints ( ϕ ( s, s (cid:48) )

Original: = 0) , we report Balanced Accuracy (BA), in addition to standard accuracy (ACC) and the true positive and negative rates (TPR and TNR).
Revised: = 0) , we report Balanced Accuracy (BA), in addition to standard accuracy (ACC) and the true positive and negative rates (TPR and TNR).

Original: Table 3 displays these metrics for classiﬁers resulting from our active learning method for different classiﬁcation thresholds t and with and without subsequent relabeling
Revised: Table 3 displays these metrics for classiﬁers resulting from our active learning method for different classiﬁcation thresholds t and with and without subsequent relabeling

Original: [Table] [Table]
Revised: [Table] [Table]

Original: labeled in the last step/the relabeled data.
Revised: labeled in the last step/the relabeled data.

Original: ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.
Revised: ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.

Original: We observe that ˆ ϕ performs substantially better than random, achieving BA of 66 .
Revised: We observe that ˆ ϕ performs substantially better than random, achieving BA of 66 .

Original: 7% when used with an aggressive classiﬁer threshold t .
Revised: 7% when used with an aggressive classiﬁer threshold t .

Original: Table 3 also validates our relabeling approach: after observing that our classiﬁer was biased towards predicting ˆ ϕ ( s, s (cid:48) )
Revised: Table 3 also validates our relabeling approach: after observing that our classiﬁer was biased towards predicting ˆ ϕ ( s, s (cid:48) )

Original: = 

Revised: =

Original: on a held-out validation set, we collected two additional labels for 500 pairs ( s, s (cid:48) ) for which both the human and the predicted label were equal to zero, selected based on the LC criterion.
Revised: on a held-out validation set, we collected two additional labels for 500 pairs ( s, s (cid:48) ) for which both the human and the predicted label were equal to zero, selected based on the LC criterion.

Original: The majority vote over all three annotators was ϕ
Revised: The majority vote over all three annotators was ϕ

Original: ( s, s (cid:48) )
Revised: ( s, s (cid:48) )

Original: = 1 for 47% of these pairs, showing that our approach correctly identiﬁed pairs that were likely to be mislabeled.
Revised: = 1 for 47% of these pairs, showing that our approach correctly identiﬁed pairs that were likely to be mislabeled.

Original: Retraining our classiﬁer on the updated majority votes also substantially increased TPR at little costs to TNR, especially for balanced classiﬁcation thresholds t close to 0 .
Revised: Retraining our classiﬁer on the updated majority votes also substantially increased TPR at little costs to TNR, especially for balanced classiﬁcation thresholds t close to 0 .

Original: According to a qualitative evaluation, many sentence pairs ( s, s (cid:48) ) predicted to not represent fairness constraints ( ˆ ϕ ( s, s (cid:48) )
Revised: According to a qualitative evaluation, many sentence pairs ( s, s (cid:48) ) predicted to not represent fairness constraints ( ˆ ϕ ( s, s (cid:48) )

Original: = 1) had the words "boy" or "man" replaced by terms denoting identity membership.
Revised: = 1) had the words "boy" or "man" replaced by terms denoting identity membership.

Original: Such sentence pairs, like "You boys don’t go ﬁshing when you go on those vacations, do you?"
Revised: Such sentence pairs, like "You boys don’t go ﬁshing when you go on those vacations, do you?"

Original: and "You Hindus don’t go ﬁshing when you go on those vacations, do you?" were often not seen as fairness constraints by human annotators, as the use of the identity term can be read as mocking.
Revised: and "You Hindus don’t go ﬁshing when you go on those vacations, do you?" were often not seen as fairness constraints by human annotators, as the use of the identity term can be read as mocking.

Original: ˆ ϕ also identiﬁed sentence pairs ( s, s (cid:48) ) for which s (cid:48) was unrelated to s , that were sometimes produced by GPT-3, as not representing fairness constraints.
Revised: ˆ ϕ also identiﬁed sentence pairs ( s, s (cid:48) ) for which s (cid:48) was unrelated to s , that were sometimes produced by GPT-3, as not representing fairness constraints.

Original: Further results can be found in App.
Revised: Further results can be found in App.

Original: C.
Revised: C.

Original: 4. T RAINING A FAIRER DOWNSTREAM CLASSIFIER
Revised: 4. T RAINING A FAIRER DOWNSTREAM CLASSIFIER

Original: Lastly, we evaluate whether the pairs ˆ C r obtainted by ﬁltering C e with ˆ ϕ (trained with relabeling, threshold t = 0 . 5 ) can help with learning an individually fair downstream classiﬁer, by training a
Revised: Lastly, we evaluate whether the pairs ˆ C r obtainted by ﬁltering C e with ˆ ϕ (trained with relabeling, threshold t = 0 . 5 ) can help with learning an individually fair downstream classiﬁer, by training a

Original: RoBERTa-based toxicity classiﬁer f using CLP with λ = 5 .
Revised: RoBERTa-based toxicity classiﬁer f using CLP with λ = 5 .

Original: More details can be found in App.
Revised: More details can be found in App.

Original: D.
Revised: D.

Original: We train toxicity classiﬁers with CLP using constraint sets deﬁned by word replacement ( C 1 and Cas in Sec. 4.2) and using all of C e , or the ﬁltered version ˆ C r .
Revised: We train toxicity classiﬁers with CLP using constraint sets deﬁned by word replacement ( C 1 and Cas in Sec. 4.2) and using all of C e , or the ﬁltered version ˆ C r .

Original: Additionally, we train on a challenging set of constraints, C eadverse that consists of C e and 10 , 000 adversarially selected pairs ( s, s (cid:48) ) created by randomly selecting comments s with toxicity label y ( s )
Revised: Additionally, we train on a challenging set of constraints, C eadverse that consists of C e and 10 , 000 adversarially selected pairs ( s, s (cid:48) ) created by randomly selecting comments s with toxicity label y ( s )

Original: = 1 and randomly selecting comments s (cid:48) with label y
Revised: = 1 and randomly selecting comments s (cid:48) with label y

Original: ( s )
Revised: ( s )

Original: = 

Revised: =

Original: from D , and a ﬁltered version ˆ C radverse of C eadverse using threshold t = 0 . 5 .
Revised: from D , and a ﬁltered version ˆ C radverse of C eadverse using threshold t = 0 . 5 .

Original: We then evaluate these classiﬁers in terms of Balanced Accuracy (BA) and individual fairness on the resulting classiﬁers on the test set T .
Revised: We then evaluate these classiﬁers in terms of Balanced Accuracy (BA) and individual fairness on the resulting classiﬁers on the test set T .

Original: Table 4 shows that compared to word replacement our expanded constraint set C e consistently yields better adherence to human-validated fairness constraints at the cost of a small drop in BA.
Revised: Table 4 shows that compared to word replacement our expanded constraint set C e consistently yields better adherence to human-validated fairness constraints at the cost of a small drop in BA.

Original: However, we do not ﬁnd a clear improvement from using the ﬁltered constraint set ˆ C r over the full set of constraints C e .
Revised: However, we do not ﬁnd a clear improvement from using the ﬁltered constraint set ˆ C r over the full set of constraints C e .

Original: We hypothesize that this is due to our classiﬁer
Revised: We hypothesize that this is due to our classiﬁer

Original: ˆ ϕ ’s limited True Positive Rate combined with ϕ ( s, s (cid:48) ) equalling zero for most pairs ( s, s (cid:48) )
Revised: ˆ ϕ ’s limited True Positive Rate combined with ϕ ( s, s (cid:48) ) equalling zero for most pairs ( s, s (cid:48) )

Original: ∈ C e according to human annotators, such that even ﬁltering with a perfect classiﬁer ˆ ϕ might be of limited utility as most constraints in C e are indeed relevant.
Revised: ∈ C e according to human annotators, such that even ﬁltering with a perfect classiﬁer ˆ ϕ might be of limited utility as most constraints in C e are indeed relevant.

Original: This is supported by our results for C eadverse , where ﬁltering substantially improves BA.
Revised: This is supported by our results for C eadverse , where ﬁltering substantially improves BA.

Original: Further experiments can be found in App.
Revised: Further experiments can be found in App.

Original: D.
Revised: D.

Original: [Table]
Revised: [Table]

Original: which f ( s ) =
Revised: which f ( s ) =

Original: f ( s (cid:48) ) ) for toxicity classiﬁers f trained with CLP and different sets of similar pairs.
Revised: f ( s (cid:48) ) ) for toxicity classiﬁers f trained with CLP and different sets of similar pairs.

Original: Results are averaged over 5 training runs.
Revised: Results are averaged over 5 training runs.

Original: ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.
Revised: ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.

Original:  C ONCLUSION
Revised:  C ONCLUSION

Original: We proposed a framework for producing expressive and intuitive speciﬁcations for individual fairness in text classiﬁcation.
Revised: We proposed a framework for producing expressive and intuitive speciﬁcations for individual fairness in text classiﬁcation.

Original: We experimentally demonstrated that our pairs are more expressive than word replacement pairs and that most of the generated pairs were relevant in the context of toxicity classiﬁcation according to human annotators.
Revised: We experimentally demonstrated that our pairs are more expressive than word replacement pairs and that most of the generated pairs were relevant in the context of toxicity classiﬁcation according to human annotators.

Original: We also trained a classiﬁer that automatically identiﬁes relevant pairs and showed that our approach can improve the fairness of a toxicity classiﬁer.
Revised: We also trained a classiﬁer that automatically identiﬁes relevant pairs and showed that our approach can improve the fairness of a toxicity classiﬁer.

Original: Our
Revised: Our

Original:  E THICS S TATEMENT
Revised:  E THICS S TATEMENT

Original: Our human evaluation experiments involving workers from Mechanical Turk were reviewed and approved by the ETH Zurich Ethics Commission as proposal EK 2022-N-117.
Revised: Our human evaluation experiments involving workers from Mechanical Turk were reviewed and approved by the ETH Zurich Ethics Commission as proposal EK 2022-N-117.

Original: Workers on Mechanical
Revised: Workers on Mechanical

Original: Turk were warned that they might be shown offensive comments as part of our study and were able to opt out of participating in our study at any time.
Revised: Turk were warned that they might be shown offensive comments as part of our study and were able to opt out of participating in our study at any time.

Original: We also made sure that the per-task compensation was sufﬁciently high to result in a hourly compensation exceeding the US federal minimum wage.
Revised: We also made sure that the per-task compensation was sufﬁciently high to result in a hourly compensation exceeding the US federal minimum wage.

Original: More details on our human evaluation experiments can be found in App. A.
Revised: More details on our human evaluation experiments can be found in App. A.

Original: While we believe that our results show that learning more precise fairness notions by involving human feedback is a very promising area of research, we caution against directly using the labels from our human evaluation study φ for evaluating fairness in high-stakes real-world applications of toxicity classiﬁcation.
Revised: While we believe that our results show that learning more precise fairness notions by involving human feedback is a very promising area of research, we caution against directly using the labels from our human evaluation study φ for evaluating fairness in high-stakes real-world applications of toxicity classiﬁcation.

Original: First, our results show that there is substantial disagreement between different survey participants about which pairs ( s, s (cid:48) ) require equal treatment by a fair classiﬁer.
Revised: First, our results show that there is substantial disagreement between different survey participants about which pairs ( s, s (cid:48) ) require equal treatment by a fair classiﬁer.

Original: While resolving these disagreements via a majority vote is a natural choice, other approaches may be desired in some contexts, for example enforcing equal treatment whenever at least one participant believes it is required or explicitly accounting for distributional information via jury learning (Gordon et al., 2022) or multi-annotator architecture (Davani et al., 2022).
Revised: While resolving these disagreements via a majority vote is a natural choice, other approaches may be desired in some contexts, for example enforcing equal treatment whenever at least one participant believes it is required or explicitly accounting for distributional information via jury learning (Gordon et al., 2022) or multi-annotator architecture (Davani et al., 2022).

Original: Second, our survey participants are geographically biased to the US and are neither direct stakeholders, nor experts in discrimination law and hate speech.
Revised: Second, our survey participants are geographically biased to the US and are neither direct stakeholders, nor experts in discrimination law and hate speech.

Original: Given that our learning approach shows promising signs of being able to improve upon existing approaches to quantifying individual fairness despite large amounts of disagreement, which is likely to be less common for actual stakeholders and experts, we recommend using it in conjunction with fairness judgments provided by application-speciﬁc experts and stakeholders.
Revised: Given that our learning approach shows promising signs of being able to improve upon existing approaches to quantifying individual fairness despite large amounts of disagreement, which is likely to be less common for actual stakeholders and experts, we recommend using it in conjunction with fairness judgments provided by application-speciﬁc experts and stakeholders.

Original: The collection of additional application-speciﬁc fairness labels φ is especially important when our framework is applied to downstream tasks other than toxicity classiﬁcation, for which human agreement with the relevance of generated pairs to individual fairness could theoretically be substantially lower than indicated by our study.
Revised: The collection of additional application-speciﬁc fairness labels φ is especially important when our framework is applied to downstream tasks other than toxicity classiﬁcation, for which human agreement with the relevance of generated pairs to individual fairness could theoretically be substantially lower than indicated by our study.

Original: In addition, the validity of collected labels should be reassessed periodically in order to account for shifts in linguistic, cultural and social contexts (Aroyo et al., 2019).
Revised: In addition, the validity of collected labels should be reassessed periodically in order to account for shifts in linguistic, cultural and social contexts (Aroyo et al., 2019).

Original: In addition, our generated pairs only cover perturbations along a ﬁxed list of demographic groups such that fulﬁlling individual fairness on these pairs does not guarantee invariance to other forms of perturbations.
Revised: In addition, our generated pairs only cover perturbations along a ﬁxed list of demographic groups such that fulﬁlling individual fairness on these pairs does not guarantee invariance to other forms of perturbations.

Original: Correspondingly, evaluation on these pairs can help to provide better evidence about the extent of demographic biases but not necessarily other forms of bias present in a text classiﬁer.
Revised: Correspondingly, evaluation on these pairs can help to provide better evidence about the extent of demographic biases but not necessarily other forms of bias present in a text classiﬁer.

Original: We believe that it is exceedingly difﬁcult to capture human intuitions about individual fairness in complex domains like text using simple rules.
Revised: We believe that it is exceedingly difﬁcult to capture human intuitions about individual fairness in complex domains like text using simple rules.

Original: Hence, our work implicitly deﬁnes similarity based on human-labeled data, which can be difﬁcult to interpret.
Revised: Hence, our work implicitly deﬁnes similarity based on human-labeled data, which can be difﬁcult to interpret.

Original: To instill further in the derived speciﬁcations, future work could aim to extract more interpretable speciﬁcations from the human feedback, for example using techniques from explainable machine learning.
Revised: To instill further in the derived speciﬁcations, future work could aim to extract more interpretable speciﬁcations from the human feedback, for example using techniques from explainable machine learning.

Original:  R EPRODUCIBILITY S TATEMENT
Revised:  R EPRODUCIBILITY S TATEMENT

Original: We provide code to reproduce our generation pipeline and our experiments on synthetic data, as well as our dataset of human fairness judgments at https://github.com/eth-sri/ fairness-feedback-nlp .
Revised: We provide code to reproduce our generation pipeline and our experiments on synthetic data, as well as our dataset of human fairness judgments at https://github.com/eth-sri/ fairness-feedback-nlp .

Original: All of our experiments involving transformer language models use the huggingface transformers library (Wolf et al., 2020).
Revised: All of our experiments involving transformer language models use the huggingface transformers library (Wolf et al., 2020).

Original: Additional details on our human evaluation are provided in App.
Revised: Additional details on our human evaluation are provided in App.

Original: A.
Revised: A.

Original: A CKNOWLEDGEMENTS
Revised: A CKNOWLEDGEMENTS

Original: We would like to thank Dan Hendrycks, Mislav Balunovi´c, Afra Amini and Dominik Stammbach for helpful comments and discussions during early stages of this work.
Revised: We would like to thank Dan Hendrycks, Mislav Balunovi´c, Afra Amini and Dominik Stammbach for helpful comments and discussions during early stages of this work.

Original: We also thank the anonymous reviewers for their insightful comments and constructive feedback that helped to improve this paper.
Revised: We also thank the anonymous reviewers for their insightful comments and constructive feedback that helped to improve this paper.

Original: Florian Dorner is grateful for ﬁnancial support from the Max Planck ETH Center for Learning Systems (CLS) received during part of this work.
Revised: Florian Dorner is grateful for ﬁnancial support from the Max Planck ETH Center for Learning Systems (CLS) received during part of this work.

Original: Nikola Konstantinov’s contributions to this publication were made possible by an ETH AI Center postdoctoral fellowship.
Revised: Nikola Konstantinov’s contributions to this publication were made possible by an ETH AI Center postdoctoral fellowship.

Original: A F URTHER D ETAILS ON H UMAN EVALUATION
Revised: A F URTHER D ETAILS ON H UMAN EVALUATION

Original: In order to participate, workers had to live in the US and be above 18 years old in addition to being experienced with MechanicalTurk (having completed more than 5000 HITs 5 and having a good reputation ( 97% acceptance rate across all of the worker’s HITs).
Revised: In order to participate, workers had to live in the US and be above 18 years old in addition to being experienced with MechanicalTurk (having completed more than 5000 HITs 5 and having a good reputation ( 97% acceptance rate across all of the worker’s HITs).

Original: Workers were warned about the potentially offensive content of some of the comments show in the study by the following statement: "Please note that this study contains offensive content.
Revised: Workers were warned about the potentially offensive content of some of the comments show in the study by the following statement: "Please note that this study contains offensive content.

Original: If you do not wish to see such content, please withdraw from the study by leaving this website."
Revised: If you do not wish to see such content, please withdraw from the study by leaving this website."

Original: and were also told that they could withdraw from the study at any later point: "You may withdraw your participation at any time without specifying reasons and without any disadvantages (however, you will not get paid for the current HIT in case you withdraw before completing it)".
Revised: and were also told that they could withdraw from the study at any later point: "You may withdraw your participation at any time without specifying reasons and without any disadvantages (however, you will not get paid for the current HIT in case you withdraw before completing it)".

Original: After encountering a high prevalence of bots, malicious workers or workers that fundamentally misunderstood our task instructions during pilot experiments, we had workers pass a qualiﬁcation test by providing correct answers for nine out of ten queries ϕ
Revised: After encountering a high prevalence of bots, malicious workers or workers that fundamentally misunderstood our task instructions during pilot experiments, we had workers pass a qualiﬁcation test by providing correct answers for nine out of ten queries ϕ

Original: ( s, s (cid:48) ) for pairs that were handdesigned to have a relatively obvious correct answer.
Revised: ( s, s (cid:48) ) for pairs that were handdesigned to have a relatively obvious correct answer.

Original: We validated these hand-designed pairs in a separate experiment, querying workers about ϕ ( s, s (cid:48) ) for 11 pairs ( s, s (cid:48) ), and asking them to verbally explain each of their decisions, paying a total of $1 . 83 .
Revised: We validated these hand-designed pairs in a separate experiment, querying workers about ϕ ( s, s (cid:48) ) for 11 pairs ( s, s (cid:48) ), and asking them to verbally explain each of their decisions, paying a total of $1 . 83 .

Original: We only included hand-designed pairs in the qualiﬁcation test if at least eight out of ten workers produced the intended answer during this experiment, and no worker brought forward convincing arguments against this answer being correct.
Revised: We only included hand-designed pairs in the qualiﬁcation test if at least eight out of ten workers produced the intended answer during this experiment, and no worker brought forward convincing arguments against this answer being correct.

Original: Workers were paid $0 .
Revised: Workers were paid $0 .

Original: 83 for a battery of 11 queries ϕ
Revised: 83 for a battery of 11 queries ϕ

Original: ( s, s (cid:48) ) for the Active learning and the test set
Revised: ( s, s (cid:48) ) for the Active learning and the test set

Original: T and ﬁrst $1 . 20 , later $1 . 30 for 11 queries about all questions presented in Table 2.
Revised: T and ﬁrst $1 . 20 , later $1 . 30 for 11 queries about all questions presented in Table 2.

Original: In both cases, workers had to explain one of their answers verbally, and one of the queries was a attention check pair ( s, s (cid:48) ) with a relatively obvious correct answer constructed in the same way as for the qualiﬁcation tests.
Revised: In both cases, workers had to explain one of their answers verbally, and one of the queries was a attention check pair ( s, s (cid:48) ) with a relatively obvious correct answer constructed in the same way as for the qualiﬁcation tests.

Original: Blocks of queries with wrong answers to the attention check question or (partially) incoherent verbal explanations were manually reviewed, and thrown out in case we were not able to ﬁnd evidence that the worker had correctly understood the task in which case the worker was not paid.
Revised: Blocks of queries with wrong answers to the attention check question or (partially) incoherent verbal explanations were manually reviewed, and thrown out in case we were not able to ﬁnd evidence that the worker had correctly understood the task in which case the worker was not paid.

Original: Workers were made aware of this by the following statement in the task description: "To ensure workers pay attention, we include pairs of comments for which there is a clear correct answer at random positions.
Revised: Workers were made aware of this by the following statement in the task description: "To ensure workers pay attention, we include pairs of comments for which there is a clear correct answer at random positions.

Original: Please make sure to carefully read every comment and answer diligently, as your HIT will be rejected if your answer for one of these pairs of comments is wrong, in which case you will not receive a payment for the HIT.
Revised: Please make sure to carefully read every comment and answer diligently, as your HIT will be rejected if your answer for one of these pairs of comments is wrong, in which case you will not receive a payment for the HIT.

Original: We will also ask you to produce an explanation for one of your answers.
Revised: We will also ask you to produce an explanation for one of your answers.

Original: Please write at least one sentence and make sure your explanation is coherent with the answer you gave, as your HIT might be rejected otherwise in which case you will not receive a payment for the HIT.".
Revised: Please write at least one sentence and make sure your explanation is coherent with the answer you gave, as your HIT might be rejected otherwise in which case you will not receive a payment for the HIT.".

Original: According to https://turkerview.com, a tool used by many professional workers on MechanicalTurk, we paid workers an average hourly rate of $16 .
Revised: According to https://turkerview.com, a tool used by many professional workers on MechanicalTurk, we paid workers an average hourly rate of $16 .

Original: 17 , clearly exceeding the US minimum wage.
Revised: 17 , clearly exceeding the US minimum wage.

Original: While this is likely an overestimate, as not all workers use turkerview, the hourly rate is so high, that we still exceed the minimum wage for workers taking twice as long as the average worker using turkerview.
Revised: While this is likely an overestimate, as not all workers use turkerview, the hourly rate is so high, that we still exceed the minimum wage for workers taking twice as long as the average worker using turkerview.

Original: Workers were introduced to the task as follows: "We are investigating fairness in toxic comment classiﬁcation and are looking for pairs of comments with similar content that should be treated the same by a content moderator (if one of them was removed, the other one should be removed too).
Revised: Workers were introduced to the task as follows: "We are investigating fairness in toxic comment classiﬁcation and are looking for pairs of comments with similar content that should be treated the same by a content moderator (if one of them was removed, the other one should be removed too).

Original: You will be shown pairs of comments and be asked whether the comments are similar in various ways and whether you would consider it unfair for a content moderator to remove one of the comments in each pair but not the other.".
Revised: You will be shown pairs of comments and be asked whether the comments are similar in various ways and whether you would consider it unfair for a content moderator to remove one of the comments in each pair but not the other.".

Original: The queries read as follows for the ﬁrst task:
Revised: The queries read as follows for the ﬁrst task:

Original: • Without further context, would the average american consider it unfair or acceptable for a content moderator to delete one of the shown comments but not the other?
Revised: • Without further context, would the average american consider it unfair or acceptable for a content moderator to delete one of the shown comments but not the other?

Original: – It would be unfair for one of the two comments but not the other to be deleted (Both comments ought to be treated the same way, no matter what)
Revised: – It would be unfair for one of the two comments but not the other to be deleted (Both comments ought to be treated the same way, no matter what)

Original: – If comment a) was deleted, comment b) should be deleted as well, but not the other way around.
Revised: – If comment a) was deleted, comment b) should be deleted as well, but not the other way around.

Original: (Deleting comment b) would be more justiﬁable) – If comment b) was deleted, comment a) should be deleted as well, but not the other way around.
Revised: (Deleting comment b) would be more justiﬁable) – If comment b) was deleted, comment a) should be deleted as well, but not the other way around.

Original: (Deleting comment a) would be more justiﬁable) – It would be acceptable to delete either of the comments without deleting the other.
Revised: (Deleting comment a) would be more justiﬁable) – It would be acceptable to delete either of the comments without deleting the other.

Original: (Treating the comments differently either way would be ﬁne)
Revised: (Treating the comments differently either way would be ﬁne)

Original: and as follows for the second one (Placeholders for group terms are presented in Italics .
Revised: and as follows for the second one (Placeholders for group terms are presented in Italics .

Original: The answer summarized in Table 2 is highlighted in bold ):
Revised: The answer summarized in Table 2 is highlighted in bold ):

Original: • Without further context, would you consider it unfair or acceptable for a content moderator to delete one of the shown comments but not the other?
Revised: • Without further context, would you consider it unfair or acceptable for a content moderator to delete one of the shown comments but not the other?

Original: – It would be unfair for one of the two comments but not the other to be deleted (Both comments ought to be treated the same way, no matter what)
Revised: – It would be unfair for one of the two comments but not the other to be deleted (Both comments ought to be treated the same way, no matter what)

Original: – If comment a) was deleted, comment b) should be deleted as well, but not the other way around.
Revised: – If comment a) was deleted, comment b) should be deleted as well, but not the other way around.

Original: (Deleting comment b) would be more justiﬁable) – If comment b) was deleted, comment a) should be deleted as well, but not the other way around.
Revised: (Deleting comment b) would be more justiﬁable) – If comment b) was deleted, comment a) should be deleted as well, but not the other way around.

Original: (Deleting comment a) would be more justiﬁable) – It would be acceptable to delete either of the comments without deleting the other.
Revised: (Deleting comment a) would be more justiﬁable) – It would be acceptable to delete either of the comments without deleting the other.

Original: (Treating the comments differently either way would be ﬁne) •
Revised: (Treating the comments differently either way would be ﬁne) •

Original: What do you expect the average American to answer to the previous question?
Revised: What do you expect the average American to answer to the previous question?

Original: – It would be unfair for one of the two comments but not the other to be deleted (Both comments ought to be treated the same way, no matter what)
Revised: – It would be unfair for one of the two comments but not the other to be deleted (Both comments ought to be treated the same way, no matter what)

Original: – If comment a) was deleted, comment b) should be deleted as well, but not the other way around.
Revised: – If comment a) was deleted, comment b) should be deleted as well, but not the other way around.

Original: (Deleting comment b) would be more justiﬁable) – If comment b) was deleted, comment a) should be deleted as well, but not the other way around.
Revised: (Deleting comment b) would be more justiﬁable) – If comment b) was deleted, comment a) should be deleted as well, but not the other way around.

Original: (Deleting comment a) would be more justiﬁable) – It would be acceptable to delete either of the comments without deleting the other.
Revised: (Deleting comment a) would be more justiﬁable) – It would be acceptable to delete either of the comments without deleting the other.

Original: (Treating the comments differently either way would be ﬁne) •
Revised: (Treating the comments differently either way would be ﬁne) •

Original: Do you consider one of the two comments to be more factually correct than the other?
Revised: Do you consider one of the two comments to be more factually correct than the other?

Original: – Comment a – Comment b – Neither comment / too little context to tell • Do you consider one of the two comments to be more grammatically correct than the other?
Revised: – Comment a – Comment b – Neither comment / too little context to tell • Do you consider one of the two comments to be more grammatically correct than the other?

Original: – Comment a – Comment b – Neither comment • Is comment a) about group a and comment b) about group b ?
Revised: – Comment a – Comment b – Neither comment • Is comment a) about group a and comment b) about group b ?

Original: – Yes – No, comment a) is not about group a – No, comment b) is not about group b – No, neither • Apart from differences related to group a and group b , are both comments similar in terms of content?
Revised: – Yes – No, comment a) is not about group a – No, comment b) is not about group b – No, neither • Apart from differences related to group a and group b , are both comments similar in terms of content?

Original: – Yes, they are almost the same.
Revised: – Yes, they are almost the same.

Original: – They are somewhat similar, but differ in some additional details.
Revised: – They are somewhat similar, but differ in some additional details.

Original: – There is an important additional difference between the comments’ content
Revised: – There is an important additional difference between the comments’ content

Original: Table A.1 shows an extended version of Table 2 and includes human annotator’s answers to additional questions.
Revised: Table A.1 shows an extended version of Table 2 and includes human annotator’s answers to additional questions.

Original: It shows that the reason why the advantages of word replacement in terms of group transfer and content preservation do not fully translate to producing pairs that represent actual fairness constraints could be due to its worse performance in terms of preserving factuality.
Revised: It shows that the reason why the advantages of word replacement in terms of group transfer and content preservation do not fully translate to producing pairs that represent actual fairness constraints could be due to its worse performance in terms of preserving factuality.

Original: Indeed, we found examples in which word replacement transformed "white house" to "black house"; or Obama is referred to as "white" rather than "black" in a modiﬁed comment.
Revised: Indeed, we found examples in which word replacement transformed "white house" to "black house"; or Obama is referred to as "white" rather than "black" in a modiﬁed comment.

Original: These pairs were not seen as fairness constraints by most annotators, while also being judged badly in terms of preserving factuality.
Revised: These pairs were not seen as fairness constraints by most annotators, while also being judged badly in terms of preserving factuality.

Original: Table A.2 shows the results of the human evaluation on our test set S split along the axis of attribute transfer, rather than generation method as in 2.
Revised: Table A.2 shows the results of the human evaluation on our test set S split along the axis of attribute transfer, rather than generation method as in 2.

Original: Along with the results in Table 2 they show that despite the general agreement about the relevance of the generated fairness constraints, there is
Revised: Along with the results in Table 2 they show that despite the general agreement about the relevance of the generated fairness constraints, there is

Original: [Table]
Revised: [Table]

Original: substantial disagreement between annotators when it comes to deviations from the most common answer across all comments.
Revised: substantial disagreement between annotators when it comes to deviations from the most common answer across all comments.

Original: In all cases, the fraction of comments with majority vote equal to that answer is substantially higher than the overall fraction of these votes across all comments and annotators.
Revised: In all cases, the fraction of comments with majority vote equal to that answer is substantially higher than the overall fraction of these votes across all comments and annotators.

Original: The same is true for our set T of 500 randomly selected pairs from C e for which we only asked about the average American’s fairness judgment: 70 .
Revised: The same is true for our set T of 500 randomly selected pairs from C e for which we only asked about the average American’s fairness judgment: 70 .

Original: 9% of the annotations were ϕ
Revised: 9% of the annotations were ϕ

Original: ( s, s (cid:48) )
Revised: ( s, s (cid:48) )

Original: = 0 , while the same was true for 78 .
Revised: = 0 , while the same was true for 78 .

Original: 8% of the per-comment pair majority votes.
Revised: 8% of the per-comment pair majority votes.

Original: [Table]
Revised: [Table]

Original: Our dataset including the pairs generated by our approach and aggregate human fairness judgments can be accessed at https://github.com/eth-sri/fairness-feedback-nlp .
Revised: Our dataset including the pairs generated by our approach and aggregate human fairness judgments can be accessed at https://github.com/eth-sri/fairness-feedback-nlp .

Original: B F URTHER DETAILS ON STYLE TRANSFER
Revised: B F URTHER DETAILS ON STYLE TRANSFER

Original: All of our experiments involving transformer language models use the huggingface transformers library Wolf et al.
Revised: All of our experiments involving transformer language models use the huggingface transformers library Wolf et al.

Original: Unsupervised style transfer To transform markers of demographic groups in sentences, we ﬁrst ﬁnetune a Multi-headed RoBERTa-based (Liu et al., 2019) classiﬁer c to predict labels
Revised: Unsupervised style transfer To transform markers of demographic groups in sentences, we ﬁrst ﬁnetune a Multi-headed RoBERTa-based (Liu et al., 2019) classiﬁer c to predict labels

Original: y j indicating the presence of markers of a demographic group j from a list of protected demographic groups J in a sentence s .
Revised: y j indicating the presence of markers of a demographic group j from a list of protected demographic groups J in a sentence s .

Original: We use the population labels ("Black", "Male", "Heterosexual", "Muslim", etc.)
Revised: We use the population labels ("Black", "Male", "Heterosexual", "Muslim", etc.)

Original: that are provided for a subset of the Civil comments dataset.
Revised: that are provided for a subset of the Civil comments dataset.

Original: The group-presence classiﬁer c is based on the roberta-base model, followed by a linear layer with 768 neurons applied to the output embedding of the ﬁrst token only, a Tanh layer, another linear layer mapping to a single dimension, and a Sigmoid layer.
Revised: The group-presence classiﬁer c is based on the roberta-base model, followed by a linear layer with 768 neurons applied to the output embedding of the ﬁrst token only, a Tanh layer, another linear layer mapping to a single dimension, and a Sigmoid layer.

Original: We train c for 3 epochs with a batch size of 16 and use the Adam optimizer
Revised: We train c for 3 epochs with a batch size of 16 and use the Adam optimizer

Original: Kingma & Ba (2015) with learning rate 0 .
Revised: Kingma & Ba (2015) with learning rate 0 .

Original: to optimize the binary Cross Entropy loss, reweighed by relative label frequency in the dataset.
Revised: to optimize the binary Cross Entropy loss, reweighed by relative label frequency in the dataset.

Original: Table B.1 shows the balanced accuracy on the test set for all demographic groups in the dataset.
Revised: Table B.1 shows the balanced accuracy on the test set for all demographic groups in the dataset.

Original: For our downstream applications of c , we restrict ourselves to the demographic groups for which the classiﬁer c ’s balanced accuracy is above 90% .
Revised: For our downstream applications of c , we restrict ourselves to the demographic groups for which the classiﬁer c ’s balanced accuracy is above 90% .

Original: Furthermore, we also exclude the group labeled "mental illness" because the word replacement lists we used lack a clear analogon.
Revised: Furthermore, we also exclude the group labeled "mental illness" because the word replacement lists we used lack a clear analogon.

Original: Then, we ﬁnetune a BART-based (Lewis et al., 2020)
Revised: Then, we ﬁnetune a BART-based (Lewis et al., 2020)

Original: generator g on a mask-ﬁlling task on the same data: For every data point s , we sample a group from the set of demographic groups j mentioned in s , i.e. { j : y j ( s ) = 1 } , skipping sentences s for which no group j meets this criterion.
Revised: generator g on a mask-ﬁlling task on the same data: For every data point s , we sample a group from the set of demographic groups j mentioned in s , i.e. { j : y j ( s ) = 1 } , skipping sentences s for which no group j meets this criterion.

Original: Inspired by (Reid & Zhong, 2021)
Revised: Inspired by (Reid & Zhong, 2021)

Original: we mask all of s ’s tokens that have an above-average attention value for the 11th layer of the classiﬁer c , merge consecutive mask tokens into one, and prepend the name of the sampled group j to the masked sentence before fedding it to the generator g .
Revised: we mask all of s ’s tokens that have an above-average attention value for the 11th layer of the classiﬁer c , merge consecutive mask tokens into one, and prepend the name of the sampled group j to the masked sentence before fedding it to the generator g .

Original: The generator g is then ﬁnetuned to reconstruct s using token-wise Cross Entropy.
Revised: The generator g is then ﬁnetuned to reconstruct s using token-wise Cross Entropy.

Original: The BART-based generator g is trained starting from the pretrained facebook/bart-large model for a single epoch with batch size 4, again using Adam and a learning rate of 0 . 00001 .
Revised: The BART-based generator g is trained starting from the pretrained facebook/bart-large model for a single epoch with batch size 4, again using Adam and a learning rate of 0 . 00001 .

Original: For ﬁlling in masked sentences, we pick the completion with the largest difference in the classiﬁer c ’s pre-sigmoid activation for the target and source demographic groups j (cid:48) and j among candidate sentences produced by a beam search generation using the generator g with width 5 .
Revised: For ﬁlling in masked sentences, we pick the completion with the largest difference in the classiﬁer c ’s pre-sigmoid activation for the target and source demographic groups j (cid:48) and j among candidate sentences produced by a beam search generation using the generator g with width 5 .

Original: To transfer an example s from mentioning group j to mentioning group j (cid:48)
Revised: To transfer an example s from mentioning group j to mentioning group j (cid:48)

Original: [Table]
Revised: [Table]

Original: we follow (Lee, 2020) and iteratively mask the token for which masking reduces p c ( y j | x ) the most, until we reach a threshold of p c ( y j | x ) < 0 .
Revised: we follow (Lee, 2020) and iteratively mask the token for which masking reduces p c ( y j | x ) the most, until we reach a threshold of p c ( y j | x ) < 0 .

Original: We use this approach rather than the attention-based masking from (Reid &
Revised: We use this approach rather than the attention-based masking from (Reid &

Original: Zhong, 2021) because of the lack of theoretical motivation for using attention to identify important features (Bastings & Filippova, 2020)
Revised: Zhong, 2021) because of the lack of theoretical motivation for using attention to identify important features (Bastings & Filippova, 2020)

Original: [Table]
Revised: [Table]

Original: and because attention scores are the same for all of our model’s group-presence prediction heads, rather than speciﬁc to a particular group j . 

Revised: and because attention scores are the same for all of our model’s group-presence prediction heads, rather than speciﬁc to a particular group j .

Original: Then, we prepend a verbal representation of label j (cid:48) to s to form a prompt p
Revised: Then, we prepend a verbal representation of label j (cid:48) to s to form a prompt p

Original: [Table]
Revised: [Table]

Original: and generate a sentence s (cid:48) as g ( p )
Revised: and generate a sentence s (cid:48) as g ( p )

Original: [Table]
Revised: [Table]

Original: group-presence classiﬁer c for different labels
Revised: group-presence classiﬁer c for different labels

Original: Word replacement
Revised: Word replacement

Original: Our word replacement approach is based on the list of words provided in Smith et al.
Revised: Our word replacement approach is based on the list of words provided in Smith et al.

Original: Given a sentence s mentioning demographic group j and a target attribute j (cid:48) , we replace all words in s that are on the list associated with j with random words from the list associated with j (cid:48) , replacing nouns with nouns and descriptors with descriptors whenever possible, and nouns with descriptors otherwise.
Revised: Given a sentence s mentioning demographic group j and a target attribute j (cid:48) , we replace all words in s that are on the list associated with j with random words from the list associated with j (cid:48) , replacing nouns with nouns and descriptors with descriptors whenever possible, and nouns with descriptors otherwise.

Original: The full list of words we used for word replacement is displayed in Table E.1.
Revised: The full list of words we used for word replacement is displayed in Table E.1.

Original: GPT-

Revised: GPT-

Original: We accessed GPT-3 using OpenAI’s API 7 .
Revised: We accessed GPT-3 using OpenAI’s API 7 .

Original: For our ﬁrst approach, we used the "text-davinci001" version of GPT3 in a zero-shot manner with the prompt: "Please rewrite the following sentence to be about j (cid:48) rather than j :" followed by a new line and the targeted sentence s .
Revised: For our ﬁrst approach, we used the "text-davinci001" version of GPT3 in a zero-shot manner with the prompt: "Please rewrite the following sentence to be about j (cid:48) rather than j :" followed by a new line and the targeted sentence s .

Original: The second approach was based on the beta-version of GPT-3’s editing mode 8 .
Revised: The second approach was based on the beta-version of GPT-3’s editing mode 8 .

Original: Here, s (cid:48) is produced using the model "text-davinci-edit-001" with the instruction "Rewrite the text to be about j (cid:48) rather than j ".
Revised: Here, s (cid:48) is produced using the model "text-davinci-edit-001" with the instruction "Rewrite the text to be about j (cid:48) rather than j ".

Original: Lastly, we used to same model in conjunction with word replacement:
Revised: Lastly, we used to same model in conjunction with word replacement:

Original: First, we generated a candidate sentence s (cid:48)(cid:48) using the procedure described in the word replacement section.
Revised: First, we generated a candidate sentence s (cid:48)(cid:48) using the procedure described in the word replacement section.

Original: Then, in order to ﬁx issues caused by the context-blindness of the word replacement approach, we postprocessed s (cid:48)(cid:48) using "text-davinciedit-001" with the instruction "Fix grammatical errors and logical inconsistencies" to produce s (cid:48) .
Revised: Then, in order to ﬁx issues caused by the context-blindness of the word replacement approach, we postprocessed s (cid:48)(cid:48) using "text-davinciedit-001" with the instruction "Fix grammatical errors and logical inconsistencies" to produce s (cid:48) .

Original: We used temperature = 0 .
Revised: We used temperature = 0 .

Original: 7 and top_p = 1 in all our approaches and used max_tokens = 64 for "text-davinci-001" to control the length of the modiﬁed sentence s (cid:48) .
Revised: 7 and top_p = 1 in all our approaches and used max_tokens = 64 for "text-davinci-001" to control the length of the modiﬁed sentence s (cid:48) .

Revised: Please refer to the most up-to-date version of OpenAI’s usage policy ( https://platform.openai.

Revised: com/docs/usage-policies ) and potentially get in contact with OpenAI regarding your use case before replicating our GPT-3-based modiﬁcations.

Original: Post-ﬁltering For all three approaches, we performed a post-ﬁltering step to reduce the prevalence of unsuccesful attempts at demographic group transfer in our set of constraints C e .
Revised: Post-ﬁltering For all three approaches, we performed a post-ﬁltering step to reduce the prevalence of unsuccesful attempts at demographic group transfer in our set of constraints C e .

Original: Given a pair ( s, s (cid:48) ) of an original sentence and a modiﬁed version, we only include it in our set of constraints C e , if the classiﬁer probability p c ( y j (cid:48) | s (cid:48) ) for label j (cid:48) is below 0 .
Revised: Given a pair ( s, s (cid:48) ) of an original sentence and a modiﬁed version, we only include it in our set of constraints C e , if the classiﬁer probability p c ( y j (cid:48) | s (cid:48) ) for label j (cid:48) is below 0 .

Original: 5 and the classiﬁer probability p c ( y j | s (cid:48) ) for label
Revised: 5 and the classiﬁer probability p c ( y j | s (cid:48) ) for label

Original: j is above 0 .
Revised: j is above 0 .

Original: As mentioned in Sec.
Revised: As mentioned in Sec.

Original: 4.1, we attempt to produce modiﬁed comments s (cid:48)
Revised: 4.1, we attempt to produce modiﬁed comments s (cid:48)

Original: j (cid:48) mentioning group j (cid:48) for each s in D (cid:48) for all demographic groups j with y j ( s ) = 1 and all possible target groups j (cid:48) for word replacement and style transfer.
Revised: j (cid:48) mentioning group j (cid:48) for each s in D (cid:48) for all demographic groups j with y j ( s ) = 1 and all possible target groups j (cid:48) for word replacement and style transfer.

Original: For GPT-3, we attempted a total of 75 generations for each of our three generation modes per axis pair of demographic groups ( j, j (cid:48) ) and direction of group transfer, with the source sentences s randomly selected among the sentences with label j in D (cid:48) .
Revised: For GPT-3, we attempted a total of 75 generations for each of our three generation modes per axis pair of demographic groups ( j, j (cid:48) ) and direction of group transfer, with the source sentences s randomly selected among the sentences with label j in D (cid:48) .

Original: For constructing the secondary test set S , we attempted more generations for the axes male ↔ female, christian ↔ muslim and black ↔ white, homosexual ↔ heterosexual.
Revised: For constructing the secondary test set S , we attempted more generations for the axes male ↔ female, christian ↔ muslim and black ↔ white, homosexual ↔ heterosexual.

Original: The latter axis was left out of S because we found that the rate of successful generations was too limited.
Revised: The latter axis was left out of S because we found that the rate of successful generations was too limited.

Original: We generated a maximum of 2250 attempts up until a total of 250 successful generations (post-ﬁltering step passed) for GPT-3’s zero-shot mode, a maximum of 750 until to a total of 100 successful generations for GPT-3’s edit mode, and up until a total of 100 successful generations for GPT-3 based postprocessing of word replacement.
Revised: We generated a maximum of 2250 attempts up until a total of 250 successful generations (post-ﬁltering step passed) for GPT-3’s zero-shot mode, a maximum of 750 until to a total of 100 successful generations for GPT-3’s edit mode, and up until a total of 100 successful generations for GPT-3 based postprocessing of word replacement.

Original: Table B. shows the overall amount of generated pairs per method.
Revised: Table B. shows the overall amount of generated pairs per method.

Original: [Table]
Revised: [Table]

Original: As an additional experiment to validate the increased diversity of our constraint set C e we train a similarity classiﬁer 9 ˆ ϕ , on C e to distinguish pairs ( s, s (cid:48) ) generated by word replacement from pairs generated by style transfer or GPT-3.
Revised: As an additional experiment to validate the increased diversity of our constraint set C e we train a similarity classiﬁer 9 ˆ ϕ , on C e to distinguish pairs ( s, s (cid:48) ) generated by word replacement from pairs generated by style transfer or GPT-3.

Original: Training on 100000 examples without label noise, we are able to achieve over 91 .
Revised: Training on 100000 examples without label noise, we are able to achieve over 91 .

Original: 6% test accuracy on a balanced test set, suggesting that there is a meaningful difference between pairs generated by word replacement and the rest of the constraint candidates C e .
Revised: 6% test accuracy on a balanced test set, suggesting that there is a meaningful difference between pairs generated by word replacement and the rest of the constraint candidates C e .

Original: C F URTHER DETAILS ON LEARNING SIMILARITY FUNCTIONS
Revised: C F URTHER DETAILS ON LEARNING SIMILARITY FUNCTIONS

Original: First, Proposition C.1 below establishes that robustness with respect to a binary similarity function ϕ , i.e. ϕ ( s, s (cid:48) )
Revised: First, Proposition C.1 below establishes that robustness with respect to a binary similarity function ϕ , i.e. ϕ ( s, s (cid:48) )

Original: = 

Revised: =

Original: ⇒ f
Revised: ⇒ f

Original: ( s ) =
Revised: ( s ) =

Original: f ( s (cid:48) ) , can fully capture the deﬁnition of individual fairness as
Revised: f ( s (cid:48) ) , can fully capture the deﬁnition of individual fairness as

Original: Lipschitz-Continuity proposed by Dwork et al.
Revised: Lipschitz-Continuity proposed by Dwork et al.

Original: (2012) for deterministic classiﬁers f .
Revised: (2012) for deterministic classiﬁers f .

Original: Proposition C.1.
Revised: Proposition C.1.

Original: Given a metric d : X × X → R , a binary metric d b : Y × Y → { 0 , 1 } and a constant L > 0 , there exists a similarity function ϕ :
Revised: Given a metric d : X × X → R , a binary metric d b : Y × Y → { 0 , 1 } and a constant L > 0 , there exists a similarity function ϕ :

Original: X × X → { 0 , 1 } such that a function f : ( X, d ) → ( Y, d b ) is Lipschitz-Continuous with constant L if and only if ϕ ( x, x (cid:48) ) ≥ d b ( f ( x ) , f
Revised: X × X → { 0 , 1 } such that a function f : ( X, d ) → ( Y, d b ) is Lipschitz-Continuous with constant L if and only if ϕ ( x, x (cid:48) ) ≥ d b ( f ( x ) , f

Original: ( x (cid:48) )) for all x, x (cid:48) ∈ X .
Revised: ( x (cid:48) )) for all x, x (cid:48) ∈ X .

Original: Proof.
Revised: Proof.

Original: Deﬁne ϕ
Revised: Deﬁne ϕ

Original: ( x, x (cid:48) ) :
Revised: ( x, x (cid:48) ) :

Original: = 1 { Ld ( x, x (cid:48) ) ≥ 1 } .
Revised: = 1 { Ld ( x, x (cid:48) ) ≥ 1 } .

Original: Then whenever d b ( f ( x ) , f ( x (cid:48) ))
Revised: Then whenever d b ( f ( x ) , f ( x (cid:48) ))

Original: = 1 , we have d b ( f ( x ) , f ( x (cid:48) ))
Revised: = 1 , we have d b ( f ( x ) , f ( x (cid:48) ))

Original: = 1 ≤ ϕ ( x, x (cid:48) )
Revised: = 1 ≤ ϕ ( x, x (cid:48) )

Original: if and only if d b ( f ( x ) , f ( x (cid:48) )) ≤ Ld ( x, x (cid:48) ) .
Revised: if and only if d b ( f ( x ) , f ( x (cid:48) )) ≤ Ld ( x, x (cid:48) ) .

Original: But if d b ( f ( x ) , f ( x (cid:48) ))
Revised: But if d b ( f ( x ) , f ( x (cid:48) ))

Original: = 0 , the Lipschitz inequality is allways true.
Revised: = 0 , the Lipschitz inequality is allways true.

Original: Now, assume that f is not Lipschitz: Then, there exist x, x (cid:48)
Revised: Now, assume that f is not Lipschitz: Then, there exist x, x (cid:48)

Original: ∈
Revised: ∈

Original: X such that 1 = d b ( f ( x ) , f ( x (cid:48) )) >
Revised: X such that 1 = d b ( f ( x ) , f ( x (cid:48) )) >

Original: Ld ( x, x (cid:48) ) , implying 

Revised: Ld ( x, x (cid:48) ) , implying

Original: = ϕ
Revised: = ϕ

Original: ( x, x (cid:48) ) <
Revised: ( x, x (cid:48) ) <

Original: d b ( f ( x ) , f ( x (cid:48) ))
Revised: d b ( f ( x ) , f ( x (cid:48) ))

Original: =
Revised: =

Original: We use a BERT-based classiﬁer that acts on a pair ( s, s (cid:48) ) by ﬁrst tokenizing both s and s (cid:48) and padding the token representation to a length of 64 , concatenating these tokens and feeding the concatenated token representation into a pretrained bert-uncased-base model.
Revised: We use a BERT-based classiﬁer that acts on a pair ( s, s (cid:48) ) by ﬁrst tokenizing both s and s (cid:48) and padding the token representation to a length of 64 , concatenating these tokens and feeding the concatenated token representation into a pretrained bert-uncased-base model.

Original: We then apply a linear layer with dropout ( p = 0 . 1 ) followed by a Tanh layer and a second linear layer with dropout ( p = 0 . 1 ) to obtain single dimensional logits, to which a sigmoid layer is applied before computing the binary
Revised: We then apply a linear layer with dropout ( p = 0 . 1 ) followed by a Tanh layer and a second linear layer with dropout ( p = 0 . 1 ) to obtain single dimensional logits, to which a sigmoid layer is applied before computing the binary

Original: Cross Entropy loss.
Revised: Cross Entropy loss.

Original: We use BERT rather than more modern models such as RoBERTa (Liu et al., 2019) and Deberta (He et al., 2021), as we have found it to clearly outperform them for our task, plausibly because BERT uses a next-sentence-prediction task during pretraining, which is structurally similar to our task of comparing two sentences.
Revised: We use BERT rather than more modern models such as RoBERTa (Liu et al., 2019) and Deberta (He et al., 2021), as we have found it to clearly outperform them for our task, plausibly because BERT uses a next-sentence-prediction task during pretraining, which is structurally similar to our task of comparing two sentences.

Original: Table C.1 demonstrates the advantage of using BERT, as well as concatenating token representations rather than learning based on the difference between separately produced BERT features for both s and s (cid:48) .
Revised: Table C.1 demonstrates the advantage of using BERT, as well as concatenating token representations rather than learning based on the difference between separately produced BERT features for both s and s (cid:48) .

Original: Unless stated otherwise, our Active Learning approach trains for ﬁve epochs on each queried block D i before selecting new data D i +1 to label.
Revised: Unless stated otherwise, our Active Learning approach trains for ﬁve epochs on each queried block D i before selecting new data D i +1 to label.

Original: Example generations for our different methods can be found in App.
Revised: Example generations for our different methods can be found in App.

Original: E.
Revised: E.

Original: [Table]
Revised: [Table]

Original: "Featurediff" uses a linear model applied to the difference of model features produced for the respective ﬁrst tokens in s and s (cid:48) .
Revised: "Featurediff" uses a linear model applied to the difference of model features produced for the respective ﬁrst tokens in s and s (cid:48) .

Original: "Bilinear" uses a bilinear model on top of these feature differences instead.
Revised: "Bilinear" uses a bilinear model on top of these feature differences instead.

Original: "Merge" appends s (cid:48) to s before tokenization and learns a linear model on top of the model features for this combined input. "
Revised: "Merge" appends s (cid:48) to s before tokenization and learns a linear model on top of the model features for this combined input. "

Original: Concat" operates similarly, but ﬁrst tokenizes s and s (cid:48) and pads both to 64 tokens before feeding the concatenated tokens into the model.
Revised: Concat" operates similarly, but ﬁrst tokenizes s and s (cid:48) and pads both to 64 tokens before feeding the concatenated tokens into the model.

Original: No dropout was used in the post-BERT layers for these experiments.
Revised: No dropout was used in the post-BERT layers for these experiments.

Original: All results averaged over 10 runs and ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.
Revised: All results averaged over 10 runs and ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.

Original: C. S YNTHETIC D ATA
Revised: C. S YNTHETIC D ATA

Original: For active learning, we freeze the underlying BERT model during the active learning selection and only apply MC-Dropout on the level of the classiﬁer head, similar to (Grießhaber et al., 2020), but unlike them we do not use BALD (Houlsby et al., 2011) and instead approximate p ( y | s, s (cid:48) ) averaging the models’ predicted probabilities p ˆ ϕ ( y | s, s (cid:48) , w ) for 50 sampled dropout masks w .
Revised: For active learning, we freeze the underlying BERT model during the active learning selection and only apply MC-Dropout on the level of the classiﬁer head, similar to (Grießhaber et al., 2020), but unlike them we do not use BALD (Houlsby et al., 2011) and instead approximate p ( y | s, s (cid:48) ) averaging the models’ predicted probabilities p ˆ ϕ ( y | s, s (cid:48) , w ) for 50 sampled dropout masks w .

Original: We call this approach LC-UNC and experimented with various alternative selection criteria.
Revised: We call this approach LC-UNC and experimented with various alternative selection criteria.

Original: Unlike
Revised: Unlike

Original: LC-UNC, LC directly approximates 1 − max y p ( y | s, s (cid:48) ) using a single forward pass through the ˆ ϕ with deactivated dropout.
Revised: LC-UNC, LC directly approximates 1 − max y p ( y | s, s (cid:48) ) using a single forward pass through the ˆ ϕ with deactivated dropout.

Original: BALD is the approach from Grießhaber et al.
Revised: BALD is the approach from Grießhaber et al.

Original: (2020), while VARRA and
Revised: (2020), while VARRA and

Original: Majority approximate 1 − max y p ( y | s, s (cid:48) ) using MC-Dropout differently than LC-UNC:
Revised: Majority approximate 1 − max y p ( y | s, s (cid:48) ) using MC-Dropout differently than LC-UNC:

Original: In Majority, p ( y | s, s (cid:48) ) is approximated as the fraction of dropout samples w for which ˆ ϕ = 1 , while VARRA averages 1 − max y
Revised: In Majority, p ( y | s, s (cid:48) ) is approximated as the fraction of dropout samples w for which ˆ ϕ = 1 , while VARRA averages 1 − max y

Original: p ˆ ϕ
Revised: p ˆ ϕ

Original: ( y | s, s (cid:48) , w ) over dropout samples w instead of averaging p ˆ ϕ ( y | s, s (cid:48) , w ) before applying the maximum operator.
Revised: ( y | s, s (cid:48) , w ) over dropout samples w instead of averaging p ˆ ϕ ( y | s, s (cid:48) , w ) before applying the maximum operator.

Original: In addition, the table contains the "automatic relabeling" condition in which D
Revised: In addition, the table contains the "automatic relabeling" condition in which D

Original: i is selected from the whole of C e rather than just the previously unlabeled examples
Revised: i is selected from the whole of C e rather than just the previously unlabeled examples

Original: D i ⊂ C e \ (cid:83) j<i D j .
Revised: D i ⊂ C e \ (cid:83) j<i D j .

Original: During training, pairs ( s, s (cid:48) ) that have been queried multiple times are labelled according to the majority vote of all queries, and as 0 .
Revised: During training, pairs ( s, s (cid:48) ) that have been queried multiple times are labelled according to the majority vote of all queries, and as 0 .

Original: 5 in case of a tie.
Revised: 5 in case of a tie.

Original: We validate the efﬁcacy of our active learning approach for learning the similarity function ϕ
Revised: We validate the efﬁcacy of our active learning approach for learning the similarity function ϕ

Original: ( s, s (cid:48) )
Revised: ( s, s (cid:48) )

Original: with a limited amount of noisy queries.
Revised: with a limited amount of noisy queries.

Original: For this, we deﬁne two synthetic similarity functions ϕ
Revised: For this, we deﬁne two synthetic similarity functions ϕ

Original: i : i ∈ { 1 , 2 } .
Revised: i : i ∈ { 1 , 2 } .

Original: The ﬁrst, ϕ 1 is equal to zero, whenever a pair ( s, s (cid:48) ) was generated via word replacement and equal to one otherwise, as in the ﬁrst experiment from the previous section.
Revised: The ﬁrst, ϕ 1 is equal to zero, whenever a pair ( s, s (cid:48) ) was generated via word replacement and equal to one otherwise, as in the ﬁrst experiment from the previous section.

Original: The second, ϕ 2 is equal to zero, whenever the group j of s that was removed and the added group j (cid:48) in s (cid:48) are within the same category of gender and sexuality, race, or religion, and equal to one otherwise.
Revised: The second, ϕ 2 is equal to zero, whenever the group j of s that was removed and the added group j (cid:48) in s (cid:48) are within the same category of gender and sexuality, race, or religion, and equal to one otherwise.

Original: For example, a pair ( s, s (cid:48) ) for which markers of "White people" in s were modiﬁed to markers of "Black people" in s (cid:48) would have ϕ 2 ( s, s (cid:48) )
Revised: For example, a pair ( s, s (cid:48) ) for which markers of "White people" in s were modiﬁed to markers of "Black people" in s (cid:48) would have ϕ 2 ( s, s (cid:48) )

Original: = 0 , while ϕ 2 ( s, s (cid:48) ) would be one if the group was modiﬁed to "muslim" in s (cid:48) instead.
Revised: = 0 , while ϕ 2 ( s, s (cid:48) ) would be one if the group was modiﬁed to "muslim" in s (cid:48) instead.

Original: We simulate the label noise introduced by annotators’ disagreement by independently ﬂipping each label with probability p = 0 .
Revised: We simulate the label noise introduced by annotators’ disagreement by independently ﬂipping each label with probability p = 0 .

Original: 3 during training the similarity classiﬁer ˆ ϕ .
Revised: 3 during training the similarity classiﬁer ˆ ϕ .

Original: For training with 3 instead of one query per data point, we reduce the overall amount of training data from 10000 samples in C e to 3333 samples and reduce the probability of ﬂipping labels to p = 0 . 216 , simulating a majority vote.
Revised: For training with 3 instead of one query per data point, we reduce the overall amount of training data from 10000 samples in C e to 3333 samples and reduce the probability of ﬂipping labels to p = 0 . 216 , simulating a majority vote.

Original: In turn, the active learning approach selects 333 instead of 1000 data points for labeling in each of its ten steps in that scenario.
Revised: In turn, the active learning approach selects 333 instead of 1000 data points for labeling in each of its ten steps in that scenario.

Original: Table C.2 shows that active learning noticeably outperforms randomly sampling data points for our task, that there is no clear direct beneﬁt from employing multiple queries per pair ( s, s (cid:48) )
Revised: Table C.2 shows that active learning noticeably outperforms randomly sampling data points for our task, that there is no clear direct beneﬁt from employing multiple queries per pair ( s, s (cid:48) )

Original: ∈
Revised: ∈

Original: C e over obtaining labels for previously unseen pairs, an that the LC-UNC setup is usually performing as well as or better than alternative selection criteria in the one-query per data point setting.
Revised: C e over obtaining labels for previously unseen pairs, an that the LC-UNC setup is usually performing as well as or better than alternative selection criteria in the one-query per data point setting.

Original: C. H UMAN E VALUATION
Revised: C. H UMAN E VALUATION

Original: Tables C.3 and C.4 show additional results on the active learning from human feedback.
Revised: Tables C.3 and C.4 show additional results on the active learning from human feedback.

Original: As above, we tested our approach using different ﬁltering thresholds t on the two test sets T (Table C.3) and S (Table C.4).
Revised: As above, we tested our approach using different ﬁltering thresholds t on the two test sets T (Table C.3) and S (Table C.4).

Original: In the Retrain condition, the classiﬁer ˆ ϕ was trained for a single epoch on all labeled datapoints (cid:83) i<n D i in order to combat potential issues with catastrophic forgetting.
Revised: In the Retrain condition, the classiﬁer ˆ ϕ was trained for a single epoch on all labeled datapoints (cid:83) i<n D i in order to combat potential issues with catastrophic forgetting.

Original: In the Retrain + Reweigh condition, the same was done, but the Cross Entropy loss was reweighed to balance the empirical label frequencies in (cid:83) i<n D i .
Revised: In the Retrain + Reweigh condition, the same was done, but the Cross Entropy loss was reweighed to balance the empirical label frequencies in (cid:83) i<n D i .

Original: In the From Scratch setting, we train a new classiﬁer on (cid:83) i<n D i for 5 epochs from scratch without ﬁrst training it separately on any D i .
Revised: In the From Scratch setting, we train a new classiﬁer on (cid:83) i<n D i for 5 epochs from scratch without ﬁrst training it separately on any D i .

Original: Again, datapoints are reweighed according to their empirical frequency in (cid:83) i<n D i in the From Scratch + Reweigh setting.
Revised: Again, datapoints are reweighed according to their empirical frequency in (cid:83) i<n D i in the From Scratch + Reweigh setting.

Original: [Table] [Table]
Revised: [Table] [Table]

Original: From
Revised: From

Original: [Table] [Table]
Revised: [Table] [Table]

Original: D F URTHER D ETAILS ON T RAINING D OWNSTREAM CLASSIFIERS
Revised: D F URTHER D ETAILS ON T RAINING D OWNSTREAM CLASSIFIERS

Original: The downstream classiﬁer f consists of a pretrained roberta-base model followed by a linear layer with 768 neurons applied to the output embedding of the ﬁrst token, a Tanh layer, another linear layer mapping to a single dimension, and a Sigmoid layer.
Revised: The downstream classiﬁer f consists of a pretrained roberta-base model followed by a linear layer with 768 neurons applied to the output embedding of the ﬁrst token, a Tanh layer, another linear layer mapping to a single dimension, and a Sigmoid layer.

Original: We train f using binary Cross Entropy reweighed to balance the empirical label frequencies in D for 3 epochs using a batch size of 32 and the Adam optimizer with a learning rate of 0 . 00001 .
Revised: We train f using binary Cross Entropy reweighed to balance the empirical label frequencies in D for 3 epochs using a batch size of 32 and the Adam optimizer with a learning rate of 0 . 00001 .

Original: Table D.1 extends Table 1 and shows that censoring words yields very strong constraint adherence for the respective word list 10 .
Revised: Table D.1 extends Table 1 and shows that censoring words yields very strong constraint adherence for the respective word list 10 .

Original: However, we ﬁnd it to generalize worse than CLP trained with the same word list, both to our style transfer pairs, and even to the respective other word list.
Revised: However, we ﬁnd it to generalize worse than CLP trained with the same word list, both to our style transfer pairs, and even to the respective other word list.

Original: Similarly, we ﬁnd that training with CLP on C e or our style transfer pairs C 3 does not just yield signiﬁcantly improved constraint adherence on C 3 , but also generalizes better to C 1 and C 2 than the respective other of the two word replacement constraint sets without losing much downstream accuracy.
Revised: Similarly, we ﬁnd that training with CLP on C e or our style transfer pairs C 3 does not just yield signiﬁcantly improved constraint adherence on C 3 , but also generalizes better to C 1 and C 2 than the respective other of the two word replacement constraint sets without losing much downstream accuracy.

Original: Lastly, the table also shows that the better generalization from style transfer to word replacement persists for large values of λ in CLP and that these values can provide strong improvements in terms of fairness, albeit at a larger cost in terms of balanced accuracy.
Revised: Lastly, the table also shows that the better generalization from style transfer to word replacement persists for large values of λ in CLP and that these values can provide strong improvements in terms of fairness, albeit at a larger cost in terms of balanced accuracy.

Original: [Table]
Revised: [Table]

Original: Results reported with ± are averaged over 5 runs and ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.
Revised: Results reported with ± are averaged over 5 runs and ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.

Original: D. E XPERIMENTS WITH FILTERING ON SYNTHETIC DATA
Revised: D. E XPERIMENTS WITH FILTERING ON SYNTHETIC DATA

Original: The ﬁltering process for CLP is implemented as follows: for each batch B of labeled training examples ( s, y ( s )) used to train a downstream classiﬁer f , we evaluate p ˆ ϕ
Revised: The ﬁltering process for CLP is implemented as follows: for each batch B of labeled training examples ( s, y ( s )) used to train a downstream classiﬁer f , we evaluate p ˆ ϕ

Original: ( s, s (cid:48) )
Revised: ( s, s (cid:48) )

Original: for all ( s, s (cid:48) )
Revised: for all ( s, s (cid:48) )

Original: ∈
Revised: ∈

Original: C e with s ∈ B .
Revised: C e with s ∈ B .

Original: Then, for every s ∈ B we randomly select a pair ( s, s (cid:48) ) among the pairs with p ˆ ϕ ( s, s (cid:48) )
Revised: Then, for every s ∈ B we randomly select a pair ( s, s (cid:48) ) among the pairs with p ˆ ϕ ( s, s (cid:48) )

Original: > t for a ﬁltering threshold t to use in the CLP regularizer λ
Revised: > t for a ﬁltering threshold t to use in the CLP regularizer λ

Original: || l ( s ) − l ( s (cid:48) )
Revised: || l ( s ) − l ( s (cid:48) )

Original: || 2 with l representing the logits of the downstream classiﬁer f , using ( s, s ) if no such pair exists.
Revised: || 2 with l representing the logits of the downstream classiﬁer f , using ( s, s ) if no such pair exists.

Original: To allow for more precise control over the statistical properties of ˆ ϕ , we constructed additional ˆ ϕ using a look-up table using ϕ i and ﬂip the labels of randomly selected pairs ( s, s (cid:48) ) with either ϕ i ( s, s (cid:48) )
Revised: To allow for more precise control over the statistical properties of ˆ ϕ , we constructed additional ˆ ϕ using a look-up table using ϕ i and ﬂip the labels of randomly selected pairs ( s, s (cid:48) ) with either ϕ i ( s, s (cid:48) )

Original: = 1 or ϕ i ( s, s (cid:48) )
Revised: = 1 or ϕ i ( s, s (cid:48) )

Original: = 

Revised: =

Original: in order to achieve speciﬁc True positive rates (TPR) and true negative rates (TNR).
Revised: in order to achieve speciﬁc True positive rates (TPR) and true negative rates (TNR).

Original: Table D.2 shows that there are consistent beneﬁts from ﬁltering for the synthetic similarity function ϕ 1 from App.
Revised: Table D.2 shows that there are consistent beneﬁts from ﬁltering for the synthetic similarity function ϕ 1 from App.

Original: C across different values of λ , even when an imperfect ˆ ϕ with a TPR and TNR of 75% is used.
Revised: C across different values of λ , even when an imperfect ˆ ϕ with a TPR and TNR of 75% is used.

Original: D.3 shows that unlike for ϕ 1 (Table D.2), there is little gain from ﬁltering constraints for ϕ 2 , most likely because some of the constraint candidates generated by GPT-3 and our style transfer approach are difﬁcult to enforce while maintaining high level of accuracy.
Revised: D.3 shows that unlike for ϕ 1 (Table D.2), there is little gain from ﬁltering constraints for ϕ 2 , most likely because some of the constraint candidates generated by GPT-3 and our style transfer approach are difﬁcult to enforce while maintaining high level of accuracy.

Original: While all of these constraints are inactive for ϕ 1 and are therefore not enforced with sufﬁciently accurate ﬁltering, many of them remain active with ϕ 2 such that ﬁltering yields no clear beneﬁts.
Revised: While all of these constraints are inactive for ϕ 1 and are therefore not enforced with sufﬁciently accurate ﬁltering, many of them remain active with ϕ 2 such that ﬁltering yields no clear beneﬁts.

Original: [Table] [Table]
Revised: [Table] [Table]

Original: averaged over 5 runs and ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.
Revised: averaged over 5 runs and ± indicates the difference from the upper/lower bound of a naive 95% conﬁdence interval assuming normally distributed errors.

Original: D. E XPERIMENTS WITH FILTERING ON HUMAN FAIRNESS JUDGMENTS
Revised: D. E XPERIMENTS WITH FILTERING ON HUMAN FAIRNESS JUDGMENTS

Original: Table D.4 is an extended version of Table 4 including additional experiments with a larger regularization parameter λ = 125 .
Revised: Table D.4 is an extended version of Table 4 including additional experiments with a larger regularization parameter λ = 125 .

Original: Again, there is no visible beneﬁt from ﬁltering.
Revised: Again, there is no visible beneﬁt from ﬁltering.

Original: Counterintuitively, more ﬁltering appears to correspond to less accuracy but slightly more fairness, but this might be by chance, given the signiﬁcantly larger error bars for λ = 125 .
Revised: Counterintuitively, more ﬁltering appears to correspond to less accuracy but slightly more fairness, but this might be by chance, given the signiﬁcantly larger error bars for λ = 125 .

Original: [Table]
Revised: [Table]

Original: DemographicGroup
Revised: DemographicGroup

Original: Descriptors
Revised: Descriptors

Original: Nouns
Revised: Nouns

Original: Male male,manly,masculine man, men, grandfather, bro, guy, boy, father, dad, son, husbands, husband, grandpa, brother
Revised: Male male,manly,masculine man, men, grandfather, bro, guy, boy, father, dad, son, husbands, husband, grandpa, brother

Original: Female female, pregnant, feminine, femme, womanly woman, women, grandmother, lady, ladies, girl, mother, mom, daughter, wives, wife, grandma, sister
Revised: Female female, pregnant, feminine, femme, womanly woman, women, grandmother, lady, ladies, girl, mother, mom, daughter, wives, wife, grandma, sister

Original: Transgender transsexual, FTM, F2M, MTF, trans, M2F, transgender, trans female, trans feminine, trans femme,trans fem, trans male,trans masculine,trans masc
Revised: Transgender transsexual, FTM, F2M, MTF, trans, M2F, transgender, trans female, trans feminine, trans femme,trans fem, trans male,trans masculine,trans masc

Original: Heterosexual straight, heterosexual, hetero
Revised: Heterosexual straight, heterosexual, hetero

Original: Homosexual gay, homosexual, lesbian
Revised: Homosexual gay, homosexual, lesbian

Original: Christian
Revised: Christian

Original: Amish, Catholic, Christian, Evangelical, Lutheran, Mormon, Protestant, Unitarian
Revised: Amish, Catholic, Christian, Evangelical, Lutheran, Mormon, Protestant, Unitarian

Original: Jewish
Revised: Jewish

Original: Conservative Jewish, Orthodox
Revised: Conservative Jewish, Orthodox

Original: Jewish, Reform Jewish, Hasidic,
Revised: Jewish, Reform Jewish, Hasidic,

Original: Jewish
Revised: Jewish

Original: Muslim
Revised: Muslim

Original: Muslim, Shia, Sunni
Revised: Muslim, Shia, Sunni

Original: Hindu Hindu
Revised: Hindu Hindu

Original: Buddhist Buddhist
Revised: Buddhist Buddhist

Original: Atheist atheist, irreligious
Revised: Atheist atheist, irreligious

Original: Black
Revised: Black

Original: African-American, African, Black,
Revised: African-American, African, Black,

Original: BIPOC
Revised: BIPOC

Original: White
Revised: White

Original: European-American,
Revised: European-American,

Original: European,
Revised: European,

Original: Caucasian, White
Revised: Caucasian, White

Original: Asian
Revised: Asian

Original: Chinese-American,
Revised: Chinese-American,

Original: AmericanBorn Chinese, Chinese, IndianAmerican,
Revised: AmericanBorn Chinese, Chinese, IndianAmerican,

Original: Indian,
Revised: Indian,

Original: KoreanAmerican, Korean, VietnameseAmerican, Vietnamese, AAPI
Revised: KoreanAmerican, Korean, VietnameseAmerican, Vietnamese, AAPI

Original: Latino
Revised: Latino

Original: Cuban-American,
Revised: Cuban-American,

Original: Cuban,
Revised: Cuban,

Original: Dominican-American,
Revised: Dominican-American,

Original: Dominican,
Revised: Dominican,

Original: Salvadoran-American,
Revised: Salvadoran-American,

Original: Salvadoran, Guatemalan-American,
Revised: Salvadoran, Guatemalan-American,

Original: Guatemalan, Mexican-American,
Revised: Guatemalan, Mexican-American,

Original: Mexican, Filipina-American, Filipina, Filipino-American, Filipino,
Revised: Mexican, Filipina-American, Filipina, Filipino-American, Filipino,

Original: Hispanic, Latinx, Latine, Latino,
Revised: Hispanic, Latinx, Latine, Latino,

Original: Latina, Latin American
Revised: Latina, Latin American

Original: E W ORD L ISTS A ND E XAMPLE G ENERATIONS
Revised: E W ORD L ISTS A ND E XAMPLE G ENERATIONS

Original: Tables E.2–E.4 show 5 randomly selected example pairs ( s, s (cid:48) ) produced by our style transfer approach and GPT-3 in zero-shot and edit mode.
Revised: Tables E.2–E.4 show 5 randomly selected example pairs ( s, s (cid:48) ) produced by our style transfer approach and GPT-3 in zero-shot and edit mode.

Original: Table E.5 shows 5 generated comments for each method using the same source comment and target demographic attribute.
Revised: Table E.5 shows 5 generated comments for each method using the same source comment and target demographic attribute.

Original: Warning
Revised: Warning

Original: [Table]
Revised: [Table]

Original: ’Hahaha, really?
Revised: ’Hahaha, really?

Original: Thousands of years of war and it was mostly white men, huh?
Revised: Thousands of years of war and it was mostly white men, huh?

Original: Read some history about non-European cultures to pierce your idyllic bubble.’ ’
Revised: Read some history about non-European cultures to pierce your idyllic bubble.’ ’

Original: Hahaha, really?
Revised: Hahaha, really?

Original: Thousands of years of war and it was mostly white European Christians, huh?
Revised: Thousands of years of war and it was mostly white European Christians, huh?

Original: Read some history about non-European cultures to pierce your idyllic bubble’ ’
Revised: Read some history about non-European cultures to pierce your idyllic bubble’ ’

Original: I would really like to see your source for the
Revised: I would really like to see your source for the

Original: Japanese fear of the Russians as being any kind of factor whatsoever.
Revised: Japanese fear of the Russians as being any kind of factor whatsoever.

Original: For most of the
Revised: For most of the

Original: Japanese people, the Russians were not even on the radar screen!!’
Revised: Japanese people, the Russians were not even on the radar screen!!’

Original: ’I would really like to see your source for the
Revised: ’I would really like to see your source for the

Original: Buddhist fear of the west as being any kind of factor whatsoever.
Revised: Buddhist fear of the west as being any kind of factor whatsoever.

Original: For most of the western people, the west and religion were not even on the radar screen!!’ ’
Revised: For most of the western people, the west and religion were not even on the radar screen!!’ ’

Original: Yes: at least implicitly it endorses the old canard that the United States is a "Christian nation."’ ’
Revised: Yes: at least implicitly it endorses the old canard that the United States is a "Christian nation."’ ’

Original: Yes: at least implicitly it endorses the old canard that the United States is a "white racist nation."’ ’
Revised: Yes: at least implicitly it endorses the old canard that the United States is a "white racist nation."’ ’

Original: Please be careful what you label fake news.
Revised: Please be careful what you label fake news.

Original: News of shootings (Greenville?), migrants in
Revised: News of shootings (Greenville?), migrants in

Original: Sweden raising crime rates, Hispanics being rapists and murderers, illegal voting, etc those are examples of fake news....feet on couch?
Revised: Sweden raising crime rates, Hispanics being rapists and murderers, illegal voting, etc those are examples of fake news....feet on couch?

Original: not so much....’ ’
Revised: not so much....’ ’

Original: Please be careful what you label fake news.
Revised: Please be careful what you label fake news.

Original: Hundreds of shootings (Green Mountain?), migrants in Sweden raising crime rates, homosexuals being raped and murderers, illegal voting, etc those are examples of fake news....feet on couch?
Revised: Hundreds of shootings (Green Mountain?), migrants in Sweden raising crime rates, homosexuals being raped and murderers, illegal voting, etc those are examples of fake news....feet on couch?

Original: not so much.’ ’
Revised: not so much.’ ’

Original: And often they are not so silent.
Revised: And often they are not so silent.

Original: Gay friends have told me about various such clergy who are well known – only no one speaks out about it.’ ’
Revised: Gay friends have told me about various such clergy who are well known – only no one speaks out about it.’ ’

Original: And often they are not so silent.
Revised: And often they are not so silent.

Original: Gay friends have told me about various such men who are well known – only no one speaks out about it.’
Revised: Gay friends have told me about various such men who are well known – only no one speaks out about it.’

Original: [Table]
Revised: [Table]

Original: ’OK, so now I ´m confused.
Revised: ’OK, so now I ´m confused.

Original: Is it or is it not OK to mock a reporter´s physical handicap?
Revised: Is it or is it not OK to mock a reporter´s physical handicap?

Original: Call a Latina beauty queen "Miss Housekeeping"?
Revised: Call a Latina beauty queen "Miss Housekeeping"?

Original: Post a mock video showing yourself clocking a woman you don ´ t like with a hard-hit golf ball?’ ’
Revised: Post a mock video showing yourself clocking a woman you don ´ t like with a hard-hit golf ball?’ ’

Original: Is it or is it not OK to mock a reporter´s physical handicap?
Revised: Is it or is it not OK to mock a reporter´s physical handicap?

Original: Call a Muslim beauty queen "Miss Housekeeping"?
Revised: Call a Muslim beauty queen "Miss Housekeeping"?

Original: Post a mock video showing yourself clocking a woman you don ´
Revised: Post a mock video showing yourself clocking a woman you don ´

Original: t like with a hard-hit golf ball?’
Revised: t like with a hard-hit golf ball?’

Original: "You caught me.
Revised: "You caught me.

Original: I confess.
Revised: I confess.

Original: I’ve been lying this whole time.
Revised: I’ve been lying this whole time.

Original: I’m not actually an atheist, of course I believe in a god.
Revised: I’m not actually an atheist, of course I believe in a god.

Original: I see him in the mirror every day !"
Revised: I see him in the mirror every day !"

Original: " You caught me.
Revised: " You caught me.

Original: I confess.
Revised: I confess.

Original: I’ve been lying this whole time.
Revised: I’ve been lying this whole time.

Original: I’m not actually a homosexual, of course I believe in a god.
Revised: I’m not actually a homosexual, of course I believe in a god.

Original: I see him in the mirror every day !"
Revised: I see him in the mirror every day !"

Original: "Denying the existence of racism in America,(or most anywhere), is just ignoring reality.
Revised: "Denying the existence of racism in America,(or most anywhere), is just ignoring reality.

Original: The formal dicrimination has largely been curbed(with exception of using race to design
Revised: The formal dicrimination has largely been curbed(with exception of using race to design

Original: Congressional districts), but those wonderful ’family values’ of the white South still carry the mythology of inherent white superiority" ".
Revised: Congressional districts), but those wonderful ’family values’ of the white South still carry the mythology of inherent white superiority" ".

Original: Denying the existence of racism in America,(or most anywhere), is just ignoring reality.
Revised: Denying the existence of racism in America,(or most anywhere), is just ignoring reality.

Original: The formal dicrimination has largely been curbed(with exception of using race to design
Revised: The formal dicrimination has largely been curbed(with exception of using race to design

Original: Congressional districts), but those wonderful ’family values’ of the Hindu South still carry the mythology of inherent Hindu" ’Cite to "the Republicans, Trump being a Republican, who are against gays" please.
Revised: Congressional districts), but those wonderful ’family values’ of the Hindu South still carry the mythology of inherent Hindu" ’Cite to "the Republicans, Trump being a Republican, who are against gays" please.

Original: New one to me.
Revised: New one to me.

Original: (Other than Trump being registered Republican of course, lol!)’ ’
Revised: (Other than Trump being registered Republican of course, lol!)’ ’

Original: Christian people are against gays.’
Revised: Christian people are against gays.’

Original: "You’d better watch out if you don’t claim
Revised: "You’d better watch out if you don’t claim

Original: Christianity unto yourself like they do.
Revised: Christianity unto yourself like they do.

Original: It is true that people harbor resentment over people whom they view as different.
Revised: It is true that people harbor resentment over people whom they view as different.

Original: It’s the only reason I can think of why they hate gay people."
Revised: It’s the only reason I can think of why they hate gay people."

Original: " You’d better watch out if you don’t claim
Revised: " You’d better watch out if you don’t claim

Original: Christianity unto yourself like they do.
Revised: Christianity unto yourself like they do.

Original: It is true that people harbor resentment over people whom they view as different.
Revised: It is true that people harbor resentment over people whom they view as different.

Original: It’s the only reason I can think of why they hate Asians."
Revised: It’s the only reason I can think of why they hate Asians."

Original: [Table]
Revised: [Table]

Original: ’So do they cover their faces?
Revised: ’So do they cover their faces?

Original: This is about being able to identify women for practical purposes.
Revised: This is about being able to identify women for practical purposes.

Original: Makes sense to moi.’ ’
Revised: Makes sense to moi.’ ’

Original: So do they cover their faces?
Revised: So do they cover their faces?

Original: This is about being able to identify White people for practical purposes.
Revised: This is about being able to identify White people for practical purposes.

Original: Makes sense to moi. ’ ’
Revised: Makes sense to moi. ’ ’

Original: What about
Revised: What about

Original: [Equation]
Revised: [Equation]

Original: ’ ’Christianity is the best religion.
Revised: ’ ’Christianity is the best religion.

Original: Christian people are the best people.
Revised: Christian people are the best people.

Original: Jesus Christ was a man who lived a perfect life and died for our sins.
Revised: Jesus Christ was a man who lived a perfect life and died for our sins.

Original: We should all be following Jesus because he is the author and ﬁnisher of our faith. ’ ’
Revised: We should all be following Jesus because he is the author and ﬁnisher of our faith. ’ ’

Original: Bust Judaism, Christianity and Islam are all
Revised: Bust Judaism, Christianity and Islam are all

Original: Abrahamic religions tracing their origins to the patriarch Abraham.
Revised: Abrahamic religions tracing their origins to the patriarch Abraham.

Original: They are all related.’ ’
Revised: They are all related.’ ’

Original: Bust Hispanic people are all the same.
Revised: Bust Hispanic people are all the same.

Original: They are all related. ’
Revised: They are all related. ’

Original: "AO96 doesn’t allow men into womens rest rooms or locker rooms.
Revised: "AO96 doesn’t allow men into womens rest rooms or locker rooms.

Original: You do realize that trans people have been using the bathroom with you forever right?
Revised: You do realize that trans people have been using the bathroom with you forever right?

Original: Have you ever been injured by any of these people in all the years you have been using public facilities?"
Revised: Have you ever been injured by any of these people in all the years you have been using public facilities?"

Original: "AO96 doesn’t allow white people into black rest rooms or locker rooms.
Revised: "AO96 doesn’t allow white people into black rest rooms or locker rooms.

Original: You do realize that trans people have been using the bathroom with you forever right?
Revised: You do realize that trans people have been using the bathroom with you forever right?

Original: Have you ever been injured by any of these people in all the years you have been using public facilities? "
Revised: Have you ever been injured by any of these people in all the years you have been using public facilities? "

Original: ’so.. I . have seen dozens of women in niqab in Toronto this week alone Almost every day
Revised: ’so.. I . have seen dozens of women in niqab in Toronto this week alone Almost every day

Original: I see groups of them.
Revised: I see groups of them.

Original: The problem with the niqab policy is that is was for such a silly narrow issue.
Revised: The problem with the niqab policy is that is was for such a silly narrow issue.

Original: The niaqb should have been banned from public buildings and shopping malls.’ ’
Revised: The niaqb should have been banned from public buildings and shopping malls.’ ’

Original: so..
Revised: so..

Original: I . have seen dozens of black people in the niqab in Toronto this week alone Almost every day I see groups of them.
Revised: I . have seen dozens of black people in the niqab in Toronto this week alone Almost every day I see groups of them.

Original: The problem with the niqab policy is that is was for such a silly narrow issue.
Revised: The problem with the niqab policy is that is was for such a silly narrow issue.

Original: The niaqb should have been banned from public buildings and shopping malls. ’
Revised: The niaqb should have been banned from public buildings and shopping malls. ’

Original: by GPT-3 (edit mode)
Revised: by GPT-3 (edit mode)

Original: Original Comment
Revised: Original Comment

Original: Modiﬁed Comment (Style Transfer)
Revised: Modiﬁed Comment (Style Transfer)

Original: Modiﬁed Comment (GPT-3 zero shot
Revised: Modiﬁed Comment (GPT-3 zero shot

Original: Modiﬁed Comment (GPT-3 edit mode)
Revised: Modiﬁed Comment (GPT-3 edit mode)

Original: I agree with those many trans-gendered.
Revised: I agree with those many trans-gendered.

Original: I agree with those many pre-gospel
Revised: I agree with those many pre-gospel

Original: Catholics.
Revised: Catholics.

Original: I agree with those many Christians. I agree with those many Christian people.
Revised: I agree with those many Christians. I agree with those many Christian people.

Original: Everyone in plain black pajamas might do the trick.
Revised: Everyone in plain black pajamas might do the trick.

Original: Everyone in plain white pajamas might do the trick
Revised: Everyone in plain white pajamas might do the trick

Original: All white people in plain white pajamas might do the trick.
Revised: All white people in plain white pajamas might do the trick.

Original: Everyone in plain white pajamas might do the trick.
Revised: Everyone in plain white pajamas might do the trick.

Original: You do know Mexicans are American ...right?
Revised: You do know Mexicans are American ...right?

Original: You do know gays are gay...right?
Revised: You do know gays are gay...right?

Original: You do know homosexuals are American ...right?
Revised: You do know homosexuals are American ...right?

Original: You do know Homosexuals are people too ...right? .
Revised: You do know Homosexuals are people too ...right? .

Original: I’m an atheist and I don’t care about obnoxious atheists.
Revised: I’m an atheist and I don’t care about obnoxious atheists.

Original: Either way.
Revised: Either way.

Original: I’m an Indian and I don’t care about obnoxious Muslims.
Revised: I’m an Indian and I don’t care about obnoxious Muslims.

Original: Either way.
Revised: Either way.

Original: I don’t care about obnoxious Hindus.
Revised: I don’t care about obnoxious Hindus.

Original: I’m a Hindu and I don’t care about obnoxious Hindus.
Revised: I’m a Hindu and I don’t care about obnoxious Hindus.

Original: Either way.
Revised: Either way.

Original: Another condescending ignorant Hindu nationalist ignorant of the genocidal, racist and murderous past of its culture. Another condescending ignorant white nationalist ignorant of the genocidal, racist and murderous past of its culture
Revised: Another condescending ignorant Hindu nationalist ignorant of the genocidal, racist and murderous past of its culture. Another condescending ignorant white nationalist ignorant of the genocidal, racist and murderous past of its culture

Original: Another condescending ignorant white nationalist ignorant of the genocidal, racist and murderous past of its culture.
Revised: Another condescending ignorant white nationalist ignorant of the genocidal, racist and murderous past of its culture.

Original: A White person.
Revised: A White person.

Original: F G ROUP F AIRNESS
Revised: F G ROUP F AIRNESS

Original: Table F.1 provides results on equality of odds for a subset of the models trained for the experiment presented in Table D.4.
Revised: Table F.1 provides results on equality of odds for a subset of the models trained for the experiment presented in Table D.4.

Original: Speciﬁcally, for every group j that was considered for generation, we calculated the TPR and TNR on the test set restricted to comments s mentioning that group (label y j ( s ) =1).
Revised: Speciﬁcally, for every group j that was considered for generation, we calculated the TPR and TNR on the test set restricted to comments s mentioning that group (label y j ( s ) =1).

Original: We then calculated the absolute pairwise differences between the TPRs/TNRs for every pair of groups (in percent), and present the mean and maximum over these for each model.
Revised: We then calculated the absolute pairwise differences between the TPRs/TNRs for every pair of groups (in percent), and present the mean and maximum over these for each model.

Original: We ﬁnd that CLP-training improves the TNR gap at the cost of a worse TPR gap, except for pairs generated by the Word Replacement list of Garg et al.
Revised: We ﬁnd that CLP-training improves the TNR gap at the cost of a worse TPR gap, except for pairs generated by the Word Replacement list of Garg et al.

Original: This effect is most extreme when using our full constraint set C e and more mellow for Word Replacement based on the word list of Smith et al.
Revised: This effect is most extreme when using our full constraint set C e and more mellow for Word Replacement based on the word list of Smith et al.

Original: (2022) or for the ﬁltered ˆ C r .
Revised: (2022) or for the ﬁltered ˆ C r .

Original: The improved TNR gap at the cost of a worse TPR gap is directionally consistent with the results reported by Garg et al.
Revised: The improved TNR gap at the cost of a worse TPR gap is directionally consistent with the results reported by Garg et al.

Original: (2019) for CLP training using their word list, with groups deﬁned by the presence of speciﬁc identity terms from the word list rather than the labels y j ( s ) .
Revised: (2019) for CLP training using their word list, with groups deﬁned by the presence of speciﬁc identity terms from the word list rather than the labels y j ( s ) .

Original: We echo Garg et al.
Revised: We echo Garg et al.

Original: (2019)’s recommendation for practicioners to select a method depending on their relative prioritization between improving individual fairness and equitable True Negative
Revised: (2019)’s recommendation for practicioners to select a method depending on their relative prioritization between improving individual fairness and equitable True Negative

Original: Rates, compared to equitable True Positive Rates.
Revised: Rates, compared to equitable True Positive Rates.

Original: [Table]
Revised: [Table]

Original: gaps (Absolute differences between TPR, in percent) between comments mentioning different demographic groups for differently trained classiﬁers f .
Revised: gaps (Absolute differences between TPR, in percent) between comments mentioning different demographic groups for differently trained classiﬁers f .