wanyu/IteraTeR_full_sent huggingface dataset:
Original:  Notwithstanding the mathematics, this interpretation has been vigorously criticized by Samuelson as dangerous on the grounds that most people are not growth-optimizing 2,3%DIFDELCMD < ]%%% . Here we show that a deeper connection between information and expected returns is in fact true.
Revised:  Notwithstanding the mathematics, this interpretation has been vigorously criticized by Samuelson as dangerous on the grounds that most people are not growth-optimizing %DIFDELCMD < ]%%% . Here we show that a deeper connection between information and expected returns is in fact true.
Edit intent: coherence
Original:  Notwithstanding the mathematics, this interpretation has been vigorously criticized by Samuelson as dangerous on the grounds that most people are not growth-optimizing 2,3%DIFDELCMD < ]%%% . Here we show that a deeper connection between information and expected returns is in fact true. Relative to the Kelly information benchmark, variation in people's risk aversion does indeed cause a drop in expected returns. However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Revised:  Notwithstanding the mathematics, this interpretation has been vigorously criticized by Samuelson as dangerous on the grounds that most people are not growth-optimizing 2,3%DIFDELCMD < ]%%% Disagreement is an essential element of science and life in general. Currently, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Edit intent: coherence
Original:  However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Revised:  However, the amount of disagreement between two probability distributions is quantified by highly abstract entropic measures such as the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Edit intent: clarity
Original:  However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Revised:  However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Edit intent: coherence
Original:  However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Revised:  However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Despite their widespread use in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields.
Edit intent: clarity
Original:  However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, and because financial returns are much easier to imagine, we expect our intuition to be useful in a broad range of fields. Financial intuition might also be useful in its own right as an instrument for raising financial support and accelerating the adoption of sound scientific developments .
Revised:  However, the amount of the drop is also information-driven: it is proportional to the absolute difference between the relative entropy and its celebrated generalization -- the R\'enyi divergence 4 . Given the widespread use of the R\'enyi divergence in science and engineering, such quantities lack numerical intuition and their axiomatic definitions contain no practical insight as to how the disagreement can be resolved. An economic approach addresses both of these problems by transforming disagreements into tangible investment opportunities. The R\'enyi divergence appears connected to the optimized performance of such investments. Optimization around individual opinions provides a social mechanism by which funds flow naturally to support a more accurate view. Such social mechanisms can help to resolve difficult disagreements (e.g., financial arguments concerning the global climate) .
Edit intent: meaning-changed
Original:  The amount of disagreement is often quantified by highly abstract entropic measures such as the R\'enyi divergence .
Revised:  The language of probabilities and statistics is often used to describe disagreements quantitatively. In practice, however, we want much more than that -- we want disagreements to be resolved. This leaves us with a substantial knowledge gap which is often perceived as a lack of practical intuition regarding probabilistic and statistical concepts. Take for instance the R\'enyi divergence .
Edit intent: coherence
Original:  The amount of disagreement is often quantified by highly abstract entropic measures such as the R\'enyi divergence . Despite their widespread use in science and engineering, such quantities lack numerical intuition and their axiomatic definitions contain no practical insight as to how the disagreement can be resolved.
Revised:  The amount of disagreement is often quantified by highly abstract entropic measures such as the R\'enyi divergence which is a well-known statistical quantity specifically designed as a measure of disagreement between probabilistic models. Despite its widespread use in science and engineering, such quantities lack numerical intuition and their axiomatic definitions contain no practical insight as to how the disagreement can be resolved.
Edit intent: meaning-changed
Original:  The  R\'enyi divergence appears connected to the optimized performance of such investments. Optimization around individual opinions provides a social mechanism by which funds flow naturally to support a more accurate view.
Revised:  The R\'enyi divergence appears connected to the optimized financial performance. The optimization takes into account individual opinions as well as attitudes towards risk. The result is a market-like social mechanism by which funds flow naturally to support a more accurate view.
Edit intent: meaning-changed
Original:  Notably, the Spanish past subjunctive comes in two perfectly equivalent variants ended in -ra or -se (2 ); for instance, in the sentence 'If I were there', the verb can be equally translated to estuviera or estuviese. During a first spontaneous process that began in the Middle Ages, the form -ra migrated from the indicative to the subjunctive, displacing the original -se form (3-5) .
Revised:  Notably, the Spanish past subjunctive comes in two perfectly equivalent variants ended in -ra or -se (2 , 3). In the case of the Spanish past subjunctive, the evolution of its two competing forms (ended in -ra migrated from the indicative to the subjunctive, displacing the original -se form (3-5) .
Edit intent: meaning-changed
Original:  During a first spontaneous process that began in the Middle Ages, the form -ra migrated from the indicative to the subjunctive, displacing the original -se form (3-5) . A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra  as the dominant one in the present time.
Revised:  During a first spontaneous process that began in the Middle Ages, the form -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra as the dominant one in the present time.
Edit intent: clarity
Original:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra  as the dominant one in the present time.
Revised:  A second period started with the creation of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra as the dominant one in the present time.
Edit intent: clarity
Original:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra  as the dominant one in the present time.
Revised:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 4) at a moment in which the -ra form was dominant (5) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra as the dominant one in the present time.
Edit intent: meaning-changed
Original:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra  as the dominant one in the present time.
Revised:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 6) reveal that this regulation in fact produced a renewed interest for the old form -se that eventually faded, leaving -ra as the dominant one in the present time.
Edit intent: clarity
Original:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra  as the dominant one in the present time.
Revised:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra again as the dominant one in the present time.
Edit intent: clarity
Original:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra  as the dominant one in the present time. The time series were successfully fitted by a low dimensional model that integrates two basic collective behaviors: an imitative component, and a fading of collective attention to the institutional regulation.
Revised:  A second period started with the creation of the Royal Spanish Academy in 1713, which produced a global standardization process that enforced the official spelling of -ra and -se as perfectly interchangeable variants ( 6) . Time series extracted from a massive corpus of books ( 7) show that this standardization produced a boost in the declining old form -se that eventually faded, leaving -ra as the dominant one in the present day. We show that time series are successfully fitted by a low dimensional model that integrates two basic collective behaviors: an imitative component, and a fading of collective attention to the institutional regulation.
Edit intent: clarity
Original:  The time series were successfully fitted by a low dimensional model that integrates two basic collective behaviors: an imitative component, and a fading of collective attention to the institutional regulation. We show that the natural scale over which collective attention fades is inversely proportional to the frequency of use of the verbs .
Revised:  The time series were successfully fitted by a low dimensional model that integrates an imitative and a novelty component. The model reveals that the temporal scale over which collective attention fades is inversely proportional to the frequency of use of the verbs .
Edit intent: clarity
Original:  We show that the natural scale over which collective attention fades is inversely proportional to the frequency of use of the verbs .
Revised:  We show that the natural scale over which collective attention fades is in inverse proportion to the verb frequency. The integration of the two basic mechanisms of imitation and attention to novelty allows to understand diverse competing objects, with lifetimes that range from hours for memes and news (7, 8) to decades for verbs. This suggests a general mechanism underlying cultural evolution .
Edit intent: meaning-changed
Original:  When the forms evolve spontaneously, they either grow or decay monotonically (2, 3)  . In the case of the Spanish past subjunctive, the  evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4)  at a moment in which the -ra form was dominant (5).
Revised:  The spontaneous evolution of these forms typically results in monotonic growths or decays (2, 3) . In the case of the Spanish past subjunctive, the evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4) at a moment in which the -ra form was dominant (5).
Edit intent: clarity
Original:  When the forms evolve spontaneously, they either grow or decay monotonically (2, 3)  . In the case of the Spanish past subjunctive, the  evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4)  at a moment in which the -ra form was dominant (5).
Revised:  When the forms evolve spontaneously, they either grow or decay monotonically (2, 3) like in winner-take-all attractor behaviors . In the case of the Spanish past subjunctive, the evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4) at a moment in which the -ra form was dominant (5).
Edit intent: meaning-changed
Original:  When the forms evolve spontaneously, they either grow or decay monotonically (2, 3)  . In the case of the Spanish past subjunctive, the  evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4)  at a moment in which the -ra form was dominant (5).
Revised:  When the forms evolve spontaneously, they either grow or decay monotonically (2, 3) . In the case of the Spanish past subjunctive, the spontaneous evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4) at a moment in which the -ra form was dominant (5).
Edit intent: fluency
Original:  When the forms evolve spontaneously, they either grow or decay monotonically (2, 3)  . In the case of the Spanish past subjunctive, the  evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4)  at a moment in which the -ra form was dominant (5).
Revised:  When the forms evolve spontaneously, they either grow or decay monotonically (2, 3) . In the case of the Spanish past subjunctive, the evolution of its two competing forms (ended in -ra and -se) was perturbed by the appearance of the Royal Spanish Academy in 1713, which enforced the spelling of both forms as perfectly interchangeable variants (4) , at a moment in which the -ra form was dominant (5).
Edit intent: fluency
Original:  Time series extracted from a massive corpus of books (6) reveal that this regulation in fact produced a  renewed interest for the old form -se that eventually faded, leaving -ra again as the dominant one in the present day.
Revised:  Time series extracted from a massive corpus of books (6) reveal that this regulation in fact produced a transient renewed interest for the old form -se that eventually faded, leaving -ra again as the dominant one in the present day.
Edit intent: meaning-changed
Original:  Time series extracted from a massive corpus of books (6) reveal that this regulation in fact produced a  renewed interest for the old form -se that eventually faded, leaving -ra again as the dominant one in the present day.
Revised:  Time series extracted from a massive corpus of books (6) reveal that this regulation in fact produced a renewed interest for the old form -se which, once faded, left the -ra again as the dominant one in the present day.
Edit intent: clarity
Original:  Time series extracted from a massive corpus of books (6) reveal that this regulation in fact produced a  renewed interest for the old form -se that eventually faded, leaving -ra again as the dominant one in the present day.
Revised:  Time series extracted from a massive corpus of books (6) reveal that this regulation in fact produced a renewed interest for the old form -se that eventually faded, leaving -ra again as the dominant form up to the present day.
Edit intent: clarity
Original:  The integration of the two basic mechanisms of imitation and attention to novelty allows to understand diverse competing objects, with lifetimes that range from hours for memes and news (7, 8) to decades for verbs . This suggests a general mechanism underlying cultural evolution.
Revised:  The integration of the two basic mechanisms of imitation and attention to novelty allows to understand diverse competing objects, with lifetimes that range from hours for memes and news (7, 8) to decades for verbs , suggesting the existence of a general mechanism underlying cultural evolution.
Edit intent: clarity
Original: Exploration of the emerging patterns of mutants in a finite wild-type group on spatial structure is an attracting topic. The mutation is assumed to appear with a low probability. Many studies have investigated the expansion and invasion chances for a few mutants under different games on spatial structures. It is shown that different games could lead to different evolving patterns. There are rules generalized for when the process favors the mutants, where many of the rules indicate that clustering plays a heavy role in the expansion of mutants.
Revised: Cooperation is ubiquitous across all levels of biological systems ranging from microbial communities to human societies. It, however, seemingly contradicts the evolutionary theory, since cooperators are exploited by free-riders and thus are disfavored by natural selection. Many studies based on evolutionary game theory have tried to solve the puzzle and figure out the reason why cooperation exists and how it emerges. Network reciprocity is one of the mechanisms to promote cooperation, where nodes refer to individuals and links refer to social relationships. The spatial arrangement of mutant individuals, which refers to the clustering of mutants, plays a key role in network reciprocity. Besides, many other mechanisms supporting cooperation suggest that the clustering of mutants plays an important role in the rules indicate that clustering plays a heavy role in the expansion of mutants.
Edit intent: meaning-changed
Original:  However, on the one hand, clustering hasn't been considered as an independent variable and is ignored in some previous analysis, where the patterns of the games might be affected by clustering and thus might not be well compared. On the other hand, many simulations for exploring the clustering effects are analytically intractable due to the great complexity of calculation and the difficulty to find proper categorizations on complex spatial structures. In order to explore the solely and fundamental effect of the clustering  , we employ a minimal model where no game is involved and a simple cycle is adopted.
Revised:  However, the clustering , we employ a minimal model where no game is involved and a simple cycle is adopted.
Edit intent: coherence