wanyu/IteraTeR_v2 huggingface dataset:
Original: In the  circle packing problem for triangular containers , one asks whether a given set of circles can be packed into a given triangle . Packing problems like this have been shown to be NP-hard.
Revised: In the circle packing problem , one asks whether a given set of circles can be packed into a given triangle . Packing problems like this have been shown to be NP-hard.
Edit intent: clarity
Original: In the  circle packing problem for triangular containers , one asks whether a given set of circles can be packed into a given triangle . Packing problems like this have been shown to be NP-hard.
Revised: In the circle packing problem for triangular containers , one asks whether a given set of circles can be packed into a given container . Packing problems like this have been shown to be NP-hard.
Edit intent: clarity
Original:  This area condition is tight, in the sense that for any larger area , there are instances which cannot be packed.
Revised:  This area condition is tight, in the sense that for any larger areas , there are instances which cannot be packed.
Edit intent: fluency
Original:  This area condition is tight, in the sense that for any larger area , there are instances which cannot be packed.
Revised:  This area condition is tight, in the sense that for any larger area , there are sets of circles which cannot be packed.
Edit intent: clarity
Original:  The model assumes that individuals prefer mating with partners displaying the same phenotype and therefore tend to move to the other population when their  phenotype is rare.
Revised:  The model assumes that individuals prefer mating with partners displaying the same phenotype and therefore tend to move to the other population when their own phenotype is rare.
Edit intent: clarity
Original:  We showed that the emergence of differentiated populations in this diploid moded is limited as compared to results obtained with the same model assuming haploidy.
Revised:  We show that the emergence of differentiated populations in this diploid moded is limited as compared to results obtained with the same model assuming haploidy.
Edit intent: fluency
Original:  We showed that the emergence of differentiated populations in this diploid moded is limited as compared to results obtained with the same model assuming haploidy.
Revised:  We showed that the emergence of differentiated populations in this diploid model is limited as compared to results obtained with the same model assuming haploidy.
Edit intent: fluency
Original:  The payoff function G of the European contract that prices the variance swap satisfies an ordinary integro-differential equation, which depends only on the dynamics of the Markov process, not on the clock.
Revised:  The payoff function G of the European contract satisfies an ordinary integro-differential equation, which depends only on the dynamics of the Markov process, not on the clock.
Edit intent: clarity
Original: One of the primary goals of household studies of infectious disease transmission is to estimate the household secondary attack rate (SAR), the probability of direct transmission from an index case A to a susceptible household member B during A's infectious period.
Revised: The household secondary attack risk (SAR), the probability of direct transmission from an index case A to a susceptible household member B during A's infectious period.
Edit intent: clarity
Original: One of the primary goals of household studies of infectious disease transmission is to estimate the household secondary attack rate (SAR), the probability of direct transmission from an index case A to a susceptible household member B during A's infectious period.
Revised: One of the primary goals of household studies of infectious disease transmission is to estimate the household secondary attack rate (SAR), often called the secondary attack rate or secondary infection risk, is the probability of infectious contact from an infectious household member A to a susceptible household member B during A's infectious period.
Edit intent: clarity
Original: One of the primary goals of household studies of infectious disease transmission is to estimate the household secondary attack rate (SAR), the probability of direct transmission from an index case A to a susceptible household member B during A's infectious period.
Revised: One of the primary goals of household studies of infectious disease transmission is to estimate the household secondary attack rate (SAR), the probability of direct transmission from an index case A to a given household member B during A's infectious period.
Edit intent: clarity
Original:  In a household with m susceptibles and a single index case , the number of secondary infections is often treated as a binomial(m, p) random variable where p is the SAR.
Revised:  In a household with m susceptibles and a single index case , the number of secondary infections in a household with m susceptibles and a single primary case is modeled as a binomial(m, p) random variable where p is the SAR.
Edit intent: clarity
Original:  Because a given transmission chain of length k from A to B has probability p^k , it is thought that chains of length k > 1 can be ignored when p is small.
Revised:  Because a given transmission chain of length k from A to B has probability p^k , it is thought that multiple generations of transmission can be safely neglected when p is small.
Edit intent: clarity
Original:  In simulations, we show that estimation of the SAR using a binomial model is biased upward and produces confidence intervals with poor coverage probabilities  .
Revised:  In simulations, we show that estimation of the SAR are biased upward and produces confidence intervals with poor coverage probabilities .
Edit intent: clarity
Original:  In simulations, we show that estimation of the SAR using a binomial model is biased upward and produces confidence intervals with poor coverage probabilities  .
Revised:  In simulations, we show that estimation of the SAR using a binomial model is biased upward and their confidence intervals have poor coverage probabilities .
Edit intent: clarity
Original:  The discovery of such a characterisation would be of particular interest, due to the Haj\'{o Conjecture.
Revised:  The discovery of such a characterisation would be of particular interest, due to the Haj\'os Conjecture.
Edit intent: fluency
Original: In general, mobile users have not been able to exploit spatio-temporal differences between individual mobile networks operators for a variety of reasons.
Revised: Mobile users have not been able to exploit spatio-temporal differences between individual mobile networks operators for a variety of reasons.
Edit intent: coherence
Original:  However, contrastingly, end user multihoming (over two networks) in most scenarios does not provide significant benefits over network switching given the same number of available networks.
Revised:  However, contrastingly, end user multihoming in most scenarios does not provide significant benefits over network switching given the same number of available networks.
Edit intent: clarity
Original:  Though, in low user density situations this inefficiency is not a problem and multihoming does provide increased throughput ( though not increased mean opinion scores ) . Finally, scenarios that vary the fraction of users adopting multihoming suggests that both early and late adopters will have similar gains over users not adopting multihoming.
Revised:  Though, in low user density situations this inefficiency is not a problem and multihoming does provide increased throughput though not increased mean opinion scores ) . Finally, scenarios that vary the fraction of users adopting multihoming suggests that both early and late adopters will have similar gains over users not adopting multihoming.
Edit intent: fluency
Original:  Though, in low user density situations this inefficiency is not a problem and multihoming does provide increased throughput ( though not increased mean opinion scores ) . Finally, scenarios that vary the fraction of users adopting multihoming suggests that both early and late adopters will have similar gains over users not adopting multihoming.
Revised:  Though, in low user density situations this inefficiency is not a problem and multihoming does provide increased throughput ( though not increased mean opinion scores . Finally, scenarios that vary the fraction of users adopting multihoming suggests that both early and late adopters will have similar gains over users not adopting multihoming.
Edit intent: fluency
Original:  We present the  "discrete-mixture prior" model and "hierarchical Bayes model" for the intercept and slope parameters of CAPM . In hierarchical Bayes model, we use the half-Cauchy prior on the global shrinkage parameter of the model.
Revised:  We present the "discrete-mixture prior" model and "hierarchical Bayes model" . In hierarchical Bayes model, we use the half-Cauchy prior on the global shrinkage parameter of the model.
Edit intent: coherence
Original:  We present the  "discrete-mixture prior" model and "hierarchical Bayes model" for the intercept and slope parameters of CAPM . In hierarchical Bayes model, we use the half-Cauchy prior on the global shrinkage parameter of the model.
Revised:  We present the "discrete-mixture prior" model and "hierarchical Bayes model" for the intercept and slope parameters of CAPM . In hierarchical Bayes model, we use the half-Cauchy prior to the global shrinkage parameter of the model.
Edit intent: clarity
Original:  We present detailed empirical study, where 500 stocks from the New York Stock Exchange (NYSE) are considered , and S\&P 500 index is taken as the proxy for the market.
Revised:  We present detailed empirical study, where 500 stocks from the New York Stock Exchange (NYSE) are considered and S\&P 500 index is taken as the proxy for the market.
Edit intent: fluency
Original:  Empirical results indicate that market is not efficient and it is possible to propose a strategy which can outperform the market.
Revised:  Empirical results indicate that it is possible to propose a strategy which can outperform the market.
Edit intent: coherence
Original:  We apply Bayesian methodology using the  "discrete-mixture prior" model and  "hierarchical Bayes model ".
Revised:  We apply Bayesian methodology using the "discrete-mixture prior" model and the "hierarchical Bayes model ".
Edit intent: fluency
Original:  We present detailed empirical study, where  500 stocks from the New York Stock Exchange (NYSE) are considered and S\&P 500 index is taken as the proxy for the market.
Revised:  We present the empirical study, where 500 stocks from the New York Stock Exchange (NYSE) are considered and S\&P 500 index is taken as the proxy for the market.
Edit intent: clarity
Original:  We present detailed empirical study, where  500 stocks from the New York Stock Exchange (NYSE) are considered and S\&P 500 index is taken as the proxy for the market.
Revised:  We present detailed empirical study, where 500 stocks from the New York Stock Exchange (NYSE) , and S\&P 500 index is taken as the proxy for the market.
Edit intent: clarity
Original: We present a novel data-driven algorithm to synthesize high resolution flow simulations with reusable repositories of space-time flow data.
Revised: We present a novel data-driven algorithm to synthesize high-resolution flow simulations with reusable repositories of space-time flow data.
Edit intent: fluency
Original:  In order to create incentives for the DER to operate below capacity, we propose a proportional-fairness control strategy in which (i) a subset of DERs decrease their own power output, sacrificing the individual revenue, and (ii) the DERs in the subset are dynamically selected based on the record of their previous participation in control .
Revised:  In order to create incentives for the DER to operate below capacity, we propose a proportional-fairness control strategy in which (i) a subset of DERs decrease their own power output, sacrificing the individual revenue, and (ii) the DERs in the subset are dynamically selected based on the record of their control history .
Edit intent: clarity
Original:  In particular, the blockchain is used to stipulate and store smart contracts that enforce proportional fairness.
Revised:  In particular, the blockchain is used to stipulate and store a smart contract that enforces proportional fairness.
Edit intent: fluency
Original: Evaluating information accuracy in social media is an increasingly important and well-studied area, but limited research has compared journalist-sourced accuracy assessments to their crowdsourced counterparts .
Revised: Information quality in social media is an increasingly important and well-studied area, but limited research has compared journalist-sourced accuracy assessments to their crowdsourced counterparts .
Edit intent: clarity
Original: Evaluating information accuracy in social media is an increasingly important and well-studied area, but limited research has compared journalist-sourced accuracy assessments to their crowdsourced counterparts .
Revised: Evaluating information accuracy in social media is an increasingly important issue, but web-scale data hinders experts' ability to assess and correct much of the inaccurate content, or `fake news,' present in these platforms .
Edit intent: clarity
Original:  This paper demonstrates the differences between these two populations by comparing the features used to predict accuracy assessments in two Twitter data sets: CREDBANKand PHEME.
Revised:  This paper develops a method for automating fake news detection on Twitter by learning to predict accuracy assessments in two Twitter data sets: CREDBANKand PHEME.
Edit intent: clarity
Original:  The level of reliability , going down to packet error rates (PER) of 10^{-9} , should be sufficiently convincing in order to remove cables in an industrial setting or provide remote control of robots with mission-critical function .
Revised:  The level of reliability , going down to packet error rates (PER) of 10^{-9} .
Edit intent: clarity
Original:  In this paper we present elements of physical and statistical modeling of the wireless channel  that are relevant for characterization of the lower tail of the channel Cumulative Distribution Function (CDF).
Revised:  In this paper we discuss the statistical properties of the wireless channel that are relevant for characterization of the lower tail of the channel Cumulative Distribution Function (CDF).
Edit intent: clarity
Original:  In this paper we present elements of physical and statistical modeling of the wireless channel  that are relevant for characterization of the lower tail of the channel Cumulative Distribution Function (CDF).
Revised:  In this paper we present elements of physical and statistical modeling of the wireless channel models that are relevant for characterization of the lower tail of the channel Cumulative Distribution Function (CDF).
Edit intent: clarity
Original:  In this paper we present elements of physical and statistical modeling of the wireless channel  that are relevant for characterization of the lower tail of the channel Cumulative Distribution Function (CDF).
Revised:  In this paper we present elements of physical and statistical modeling of the wireless channel that are relevant for characterization of the lower tail of the Cumulative Distribution Function (CDF).
Edit intent: fluency
Original:  There are channel models, such as Two-Wave with Diffuse Power (TWDP) or Suzuki, where finding the full CDF is not tractable.
Edit intent: coherence
Original:  Furthermore, it is seen that the two-wave model leads to pessimistic predictions of the fading in the region of ultra-reliable communications, while the CDFs of models that contain  diffuse components have slopes that correspond to the slope of a Rayleigh fading .
Revised:  The main insights from the analysis can be summarized as follows: (1) the two-wave model leads to pessimistic predictions of the fading in the region of ultra-reliable communications, while the CDFs of models that contain diffuse components have slopes that correspond to the slope of a Rayleigh fading .
Edit intent: coherence
Original:  Furthermore, it is seen that the two-wave model leads to pessimistic predictions of the fading in the region of ultra-reliable communications, while the CDFs of models that contain  diffuse components have slopes that correspond to the slope of a Rayleigh fading .
Revised:  Furthermore, it is seen that the two-wave model leads to pessimistic predictions of the fading in the URLLC region; (2) the CDFs of models that contain diffuse components have slopes that correspond to the slope of a Rayleigh fading .
Edit intent: clarity
Original: Administrators in every academic institution across the world , have to deal with the unenviable task of comparing researchers on the basis of their academic contributions.
Revised: Administrators in all academic institutions across the world , have to deal with the unenviable task of comparing researchers on the basis of their academic contributions.
Edit intent: fluency
Original: Administrators in every academic institution across the world , have to deal with the unenviable task of comparing researchers on the basis of their academic contributions.
Revised: Administrators in every academic institution across the world have to deal with the unenviable task of comparing researchers on the basis of their academic contributions.
Edit intent: fluency
Original:  Surprisingly , however, there is no reasonably established consensus on the method of arriving at such comparisons that typically involve accomplishments in teaching, grant writing and academic publication.
Revised:  Unfortunately , however, there is no reasonably established consensus on the method of arriving at such comparisons that typically involve accomplishments in teaching, grant writing and academic publication.
Edit intent: fluency
Original:  Surprisingly , however, there is no reasonably established consensus on the method of arriving at such comparisons that typically involve accomplishments in teaching, grant writing and academic publication.
Revised:  Surprisingly , however, there is no reasonably established consensus on the method of arriving at such comparisons , which typically involve trading off accomplishments in teaching, grant writing and academic publication.
Edit intent: clarity
Original:  In this paper, we focus on the particular aspect of academic publication, and address this issue from a more fundamental perspective than addressed by the popular h-index (which may lead to unfair and counter-intuitive comparisons in certain situations).
Revised:  In this paper, we focus on the particular dimension of academic publication, and address this issue from a more fundamental perspective than addressed by the popular h-index (which may lead to unfair and counter-intuitive comparisons in certain situations).
Edit intent: clarity
Original:  In this paper, we focus on the particular aspect of academic publication, and address this issue from a more fundamental perspective than addressed by the popular h-index (which may lead to unfair and counter-intuitive comparisons in certain situations).
Revised:  In this paper, we focus on the particular aspect of academic publication, and analyze this issue from a more fundamental perspective than addressed by the popular h-index (which may lead to unfair and counter-intuitive comparisons in certain situations).
Edit intent: clarity
Original:  In particular, we undertake an axiomatic analysis of all possible ways to measure academic authorship for a given dataset of such research papers and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Revised:  In particular, we undertake an axiomatic analysis of all possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Edit intent: clarity
Original:  In particular, we undertake an axiomatic analysis of all possible ways to measure academic authorship for a given dataset of such research papers and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Revised:  In particular, we undertake an axiomatic analysis of all possible ways to measure academic authorship for a given dataset of such research papers and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Edit intent: fluency
Original: Administrators in all academic institutions across the world have to deal with the unenviable task of comparing researchers on the basis of their academic contributions.
Revised: Administrators in all academic organizations across the world have to deal with the unenviable task of comparing researchers on the basis of their academic contributions.
Edit intent: clarity
Original:  In particular, we undertake an axiomatic analysis of all {\it  possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Revised:  In particular, we undertake an axiomatic analysis of {\it possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Edit intent: coherence
Original:  In particular, we undertake an axiomatic analysis of all {\it  possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Revised:  In particular, we undertake an axiomatic analysis of all {\it possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is the only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Edit intent: fluency
Original:  In particular, we undertake an axiomatic analysis of%DIFDELCMD < {\it %%% all possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is theonly method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Revised:  In particular, we undertake an axiomatic analysis of%DIFDELCMD < {\it %%% possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is theonly method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Edit intent: clarity
Original:  In particular, we undertake an axiomatic analysis of%DIFDELCMD < {\it %%% all possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is theonly method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Revised:  In particular, we undertake an axiomatic analysis of%DIFDELCMD < {\it %%% all like \mbox{ price1981multiple given dataset of research articles and find that an egalitarian e-index is theonly method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Edit intent: clarity
Original:  In particular, we undertake an axiomatic analysis of%DIFDELCMD < {\it %%% all possible ways to measure academic authorship for a given dataset of research articles and find that an egalitarian e-index is theonly method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Revised:  In particular, we undertake an axiomatic analysis of%DIFDELCMD < {\it %%% all possible ways to measure academic authorship for a given dataset of research only method which satisfies the axioms of anonymity, monotonicity, and efficiency.
Edit intent: coherence