wanyu/IteraTeR_v2 huggingface dataset:
Original: A graph game is a two-player zero-sum game in which the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game.
Revised: A graph game is a two-player zero-sum graph game the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game.
Edit intent: clarity
Original:  In "bidding games",{\em   in each turn, we hold an 'auction' (bidding) to determine which player moves the token .
Revised:  Traditionally, the players alternate turns in moving the token. In{\em in each turn, we hold an 'auction' (bidding) to determine which player moves the token .
Edit intent: clarity
Original:  In "bidding games",{\em   in each turn, we hold an 'auction' (bidding) to determine which player moves the token .
Revised:  In "bidding games",{\em bidding games in each turn, we hold an 'auction' (bidding) to determine which player moves the token .
Edit intent: clarity
Original:  In "bidding games",{\em   in each turn, we hold an 'auction' (bidding) to determine which player moves the token .
Revised:  In "bidding games",{\em in each turn, we hold an "auction" (bidding) to determine which player moves the token .
Edit intent: fluency
Original:  In "{\em first-price " bidding , only the higher bidder pays his bid , while in "{\em all-pay " bidding, both players pay their bids.
Revised:  In "{\em first-price bidding in which only the higher bidder pays his bid , while in "{\em all-pay " bidding, both players pay their bids.
Edit intent: clarity
Original:  In "{\em first-price " bidding , only the higher bidder pays his bid , while in "{\em all-pay " bidding, both players pay their bids.
Revised:  In "{\em first-price " bidding , only the higher bidder pays his bid . We focus on{\em all-pay " bidding, both players pay their bids.
Edit intent: coherence
Original:  In "{\em first-price " bidding , only the higher bidder pays his bid , while in "{\em all-pay " bidding, both players pay their bids.
Revised:  In "{\em first-price " bidding , only the higher bidder pays his bid , while in "{\em all-pay bidding, where both players pay their bids.
Edit intent: coherence
Original:  This study derives the first hardness results for  graph isomorphism in the message-passing model (MPNN).
Revised:  This study derives hardness results for graph isomorphism in the message-passing model (MPNN).
Edit intent: clarity
Original:  MPNN encompasses the majority of graph neural networks used today and is universal in the limit when nodes are given unique features.
Revised:  MPNN encompasses the majority of graph neural networks used today and is universal when nodes are given unique features.
Edit intent: clarity
Original:  Actually, the blockchain scalability trilemma has been informally proposed .
Revised:  Actually, the blockchain scalability trilemma has been informally conjectured .
Edit intent: clarity
Original:  We introduce a new blockchain architecture that scales to arbitrarily high transactions workload provided that a corresponding proportional increment of nodes is provided.
Revised:  We introduce a new blockchain architecture that scales to arbitrarily high workload provided that a corresponding proportional increment of nodes is provided.
Edit intent: clarity
Original:  In this scalability process, no tradeoff on security or decentralization is required .
Revised:  In this scalability process, no tradeoff on security or decentralization .
Edit intent: clarity
Original:  While our result is currently only theoretic, we believe that our approach could stimulate significant practical contributions.
Revised:  While our result is currently only theoretic, we believe that ot our approach may stimulate significant practical contributions.
Edit intent: clarity
Original: Given p, k and a set of polygonal curves P_1, \ldots, P_L, the p-mean curve M of P _1,\ldots,P_L is the curve with at most k vertices that minimizes the L_p norm of the vector of Fr\'echet distances between each P_i and M. Also,the p-mean curve is the cluster representative (center)of L_p -based clusterings such as k-center, k-medians, and k-means.
Revised: Given p, k and a set of polygonal curves P_1, \ldots, P_L, the p-mean curve M of P _1,\ldots,P_L each with at most k vertices that minimizes the L_p norm of the vector of Fr\'echet distances between each P_i and M. Also,the p-mean curve is the cluster representative (center)of L_p -based clusterings such as k-center, k-medians, and k-means.
Edit intent: clarity
Original: The function approximator that finds the function mapping the feature to the label is an important component in a deep neural network for classification tasks .
Revised: A deep neural network for classification tasks .
Edit intent: clarity
Original:  In this paper, we propose a new network that is efficient in finding the function that maps the feature to the label .
Revised:  In this paper, a new function approximator that is effective and efficient is proposed .
Edit intent: clarity
Original:  Instead of using the nonlinear activation function , the new proposed network uses the fractional form to overcome the nonlinearity, thus for the sake of convenience, we name the network the ratio net.
Revised:  Instead of using the nonlinear activation function , the new proposed network uses the fractional form . For the sake of convenience, we name the network the ratio net.
Edit intent: coherence
Original:  In contrast, an interaction scheme based on contact statistics among folded globular protein structures reproduces the overall experimental trend, including that the RtoK mutant has a much diminished LLPS propensity.
Revised:  In contrast, interactions based on contact statistics among folded globular protein structures reproduces the overall experimental trend, including that the RtoK mutant has a much diminished LLPS propensity.
Edit intent: clarity
Original:  This finding underscores the important role of \pi-related interactions in LLPS and that their effects are embodied to a degree in classical statistical potentials.
Revised:  This finding underscores the important role of \pi-related interactions are embodied in classical statistical potentials.
Edit intent: clarity
Original:   Protein-protein electrostatic interactions are modulated by relative permittivity, which in general depends on protein concentration in the aqueous medium .
Revised:  Protein-protein electrostatic interactions are modulated by relative permittivity, which depends on protein concentration in the aqueous medium .
Edit intent: clarity
Original:   Protein-protein electrostatic interactions are modulated by relative permittivity, which in general depends on protein concentration in the aqueous medium .
Revised:  Protein-protein electrostatic interactions are modulated by relative permittivity, which in general depends on protein concentration .
Edit intent: clarity
Original:  The opposing trends lead to only a modest overall impact on LLPS.
Revised:  The opposing trends lead to a modest overall impact on LLPS.
Edit intent: clarity
Original: As the current COVID-19 outbreak shows, disease epidemic is a complex problem which must be tackled with the right public policy.
Revised: The current COVID-19 outbreak shows, disease epidemic is a complex problem which must be tackled with the right public policy.
Edit intent: coherence
Original:  We pose a mean-field game model of individuals each choosing a dynamic strategy of making contacts, given the trade-off of utility from contacts but also risk of infection from those contacts.
Revised:  We pose a mean-field game model of individuals each choosing a dynamic strategy of making contacts, given the trade-off of gaining utility but also risking infection from additional contacts.
Edit intent: clarity
Original:  Additionally, we compute the socially optimal strategies, given the costs to incentivize people to change from their selfish strategies .
Revised:  Additionally, we include cost to incentivize people to change from their selfish strategies .
Edit intent: clarity
Original:  Additionally, we compute the socially optimal strategies, given the costs to incentivize people to change from their selfish strategies .
Revised:  Additionally, we compute the socially optimal strategies, given the costs to incentivize people to change strategies, when computing the socially optimal strategies .
Edit intent: clarity
Original:  We find that if we impose limited resources, curbing contacts of the infected is more important after the peak of the epidemic has passed.
Revised:  We find that with this cost, policies reducing contacts of the infected is more important after the peak of the epidemic has passed.
Edit intent: clarity
Original:  We find that if we impose limited resources, curbing contacts of the infected is more important after the peak of the epidemic has passed.
Revised:  We find that if we impose limited resources, curbing contacts of the infected should be further enforced after the peak of the epidemic has passed.
Edit intent: clarity
Original: In this article , we propose an analysis and applications of sample pooling to the epidemiologic monitoring of COVID-19 with an economy of tests .
Revised: In this article , we propose an analysis and applications of sample pooling to the epidemiologic monitoring of COVID-19 .
Edit intent: coherence
Original:  We then introduce a precise model of the RT-qPCR process , used to test for the presence of virus in a sample .
Revised:  We then introduce a precise model of the RT-qPCR process used to test for the presence of virus in a sample .
Edit intent: fluency
Original:  We construct a statistical model for the viral load in a typical infected individual based on clinical data from Jones et. al. (2020).
Revised:  We construct a statistical model for the viral load in a typical infected individual inspired by the clinical data from Jones et. al. (2020).
Edit intent: clarity
Original:  Using these models, we then propose a method for the measure of the prevalence in a population, based on group testing, taking into account the increased number of false negatives associated to this method.
Revised:  We then propose a method for the measure of the prevalence in a population, based on group testing, taking into account the increased number of false negatives associated to this method.
Edit intent: clarity
Original:  Using these models, we then propose a method for the measure of the prevalence in a population, based on group testing, taking into account the increased number of false negatives associated to this method.
Revised:  Using these models, we then propose a method for the measure of the prevalence in a population, based on group testing, taking into account the increased number of false negatives associated with this method.
Edit intent: fluency
Original:  Finally, we present an application of sample pooling for the prevention of epidemic outbreak in relatively closed connected communities (e.g. care homesfor the elderly ).
Revised:  Finally, we present an application of sample pooling for the prevention of epidemic outbreak in closed connected communities (e.g. care homesfor the elderly ).
Edit intent: clarity
Original:  Finally, we present an application of sample pooling for the prevention of epidemic outbreak in relatively closed connected communities (e.g. care homesfor the elderly ).
Revised:  Finally, we present an application of sample pooling for the prevention of epidemic outbreak in relatively closed connected communities (e.g. nursing homes ).
Edit intent: clarity
Original:  Excluding non-reachability information , or requesting the output to be sorted by distance, increases this delay to the order of the maximum degree.
Revised:  Excluding non-reachable pairs , or requesting the output to be sorted by distance, increases this delay to the order of the maximum degree.
Edit intent: clarity
Original:  The method is based on a global discrete de Rham (DDR) sequence, obtained  patching the local spaces constructed in [Di Pietro, Droniou, Rapetti, Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra, arXiv:1911.03616] by enforcing the single-valuedness of the components attached to the boundary of each element.
Revised:  The method is based on a global discrete de Rham (DDR) sequence, obtained by patching the local spaces constructed in [Di Pietro, Droniou, Rapetti, Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra, arXiv:1911.03616] by enforcing the single-valuedness of the components attached to the boundary of each element.
Edit intent: fluency
Original:  We conduct a set of experiments on real dataset and synthesized dataset to validate the effectiveness of our proposed approach .
Revised:  We conduct a set of metrics to evaluate the interestingness of discovered service relationships. Analytical and simulation results are presented to show the effectiveness of our proposed approach .
Edit intent: clarity
Original:  We conduct a set of experiments on real dataset and synthesized dataset to validate the effectiveness of our proposed approach .
Revised:  We conduct a set of experiments on real dataset and synthesized dataset to validate the effectiveness of the proposed evaluation measures .
Edit intent: clarity
Original: Consonant gemination in Italian affricates and fricatives was investigated, which completed the overall study of gemination of Italian consonants.
Revised: Consonant gemination in Italian affricates and fricatives was investigated, completing the overall study of gemination of Italian consonants.
Edit intent: coherence
Original:  Results of the analysis of the other consonant categories, i.e. stops, nasals, and liquids, had shown that closure duration for stops and consonant duration for nasals and liquids, form the most salient acoustic cues to gemination.
Revised:  Results of the analysis of other consonant categories, i.e. stops, nasals, and liquids, had shown that closure duration for stops and consonant duration for nasals and liquids, form the most salient acoustic cues to gemination.
Edit intent: fluency
Original:  Results of the analysis of the other consonant categories, i.e. stops, nasals, and liquids, had shown that closure duration for stops and consonant duration for nasals and liquids, form the most salient acoustic cues to gemination.
Revised:  Results of the analysis of the other consonant categories, i.e. stops, nasals, and liquids, showed that closure duration for stops and consonant duration for nasals and liquids, form the most salient acoustic cues to gemination.
Edit intent: coherence
Original:  Frequency and energy domain parameters were not significantly affected by gemination in a systematic way in all consonant classes.
Revised:  Frequency and energy domain parameters were not significantly affected by gemination in a systematic way for all consonant classes.
Edit intent: clarity
Original:  Results on fricatives and affricates confirmed the above findings, i.e., that the primary acoustic correlate of gemination is durational in nature , and corresponds to a lengthened consonant duration for fricative geminates and a lengthened closure duration for affricate geminates.
Revised:  Results on fricatives and affricates confirmed the above findings, i.e., that the primary acoustic correlate of gemination is durational in nature and corresponds to a lengthened consonant duration for fricative geminates and a lengthened closure duration for affricate geminates.
Edit intent: fluency
Original:  Classification tests of single against geminate consonants using the durational acoustic cues as classification parameters confirmed their validity, and highlighted peculiarities of the two consonant classes.
Revised:  Classification tests of single vs. geminate consonants using the durational acoustic cues as classification parameters confirmed their validity, and highlighted peculiarities of the two consonant classes.
Edit intent: fluency
Original: All Italian consonants affected by gemination, that is affricates, fricatives, liquids, nasals and stops were analysed within a project named GEMMA that lasted over a span of about 25 years.
Revised: All Italian consonants affected by gemination, that is affricates, fricatives, liquids, nasals , and stops, were analyzed within a project named GEMMA that lasted over a span of about 25 years.
Edit intent: fluency
Original:  Results of the analysis on stops, as published in a previous paper, had shown that the main acoustic cue to gemination in Italian is closure duration, while frequency and energy domain parameters were not significantly affected by gemination.
Revised:  Results of the analysis on stops, as published in a previous paper, had shown that the main acoustic cue to gemination in Italian was closure duration, while frequency and energy domain parameters were not significantly affected by gemination.
Edit intent: fluency
Original:  Results on nasals and liquids confirm the findings on stops, and reinforce the hypothesis that the primary acoustic cue to gemination in Italian is durational in nature , and corresponds to a lengthened consonant duration.
Revised:  Results on nasals and liquids confirm the findings on stops, in particular that the primary acoustic cue to gemination in Italian is durational in nature , and corresponds to a lengthened consonant duration.
Edit intent: clarity
Original:  Results on nasals and liquids confirm the findings on stops, and reinforce the hypothesis that the primary acoustic cue to gemination in Italian is durational in nature , and corresponds to a lengthened consonant duration.
Revised:  Results on nasals and liquids confirm the findings on stops, and reinforce the hypothesis that the primary acoustic cue to gemination in Italian is durational in nature and corresponds to a lengthened consonant duration.
Edit intent: fluency
Original:  This correlation is, however, also present when considering singleton vs. geminate word sets separately, indicating a sort of duration compensation between these phonemes to eventually preserve rhythmical structures;
Revised:  This correlation is, however, also present when considering singleton vs. geminate word sets separately, indicating a sort of duration compensation between these segments to eventually preserve rhythmical structures;
Edit intent: clarity
Original:  Classification tests of single vs. geminate consonants show that, for both nasals and liquids, best classification scores are obtained using consonant duration , that is a durational parameter.
Revised:  Classification tests of singleton vs. geminate consonants show that, for both nasals and liquids, best classification scores are obtained using consonant duration , that is a durational parameter.
Edit intent: fluency
Original:  Classification tests of single vs. geminate consonants show that, for both nasals and liquids, best classification scores are obtained using consonant duration , that is a durational parameter.
Revised:  Classification tests of single vs. geminate consonants show that, for both nasals and liquids, best classification scores are obtained when consonant duration is used as a classification parameter.
Edit intent: clarity
Original:  Although slightly less performing, the ratio between consonant and pre-consonant vowel durations is also a potential good candidate for automatic classification of nasals and liquids geminate vs singleton consonants in Italian.
Revised:  Although slightly less performing, the ratio between consonant and pre-consonant vowel durations is also a potential good candidate for automatic classification of geminate vs singleton consonants in Italian.
Edit intent: clarity
Original:  Although slightly less performing, the ratio between consonant and pre-consonant vowel durations is also a potential good candidate for automatic classification of nasals and liquids geminate vs singleton consonants in Italian.
Revised:  Although slightly less performing, the ratio between consonant and pre-consonant vowel durations is also a potential good candidate for automatic classification of nasals and liquids geminate vs singleton nasals and liquids in Italian.
Edit intent: clarity
Original:  In contrast to most other multilevel low-rank algorithms where the rank is chosen adaptively on each level  , we can keep the ranks (and thus the computational complexity) fixed throughout the iterations.
Revised:  In contrast to most other multilevel algorithms where the rank is chosen adaptively on each level , we can keep the ranks (and thus the computational complexity) fixed throughout the iterations.
Edit intent: clarity
Original:  Furthermore, classical implementations of line searches based on Wolfe conditions allow computing a solution where the numerical accuracy is limited to about the square root of the machine epsilon.
Revised:  Furthermore, classical implementations of line searches based on Wolfe conditions enable computing a solution where the numerical accuracy is limited to about the square root of the machine epsilon.
Edit intent: fluency
Original:  Here, we propose an extension to Riemannian manifolds of the line search of Hager and Zhang, which uses approximate Wolfe conditions that allow computing a solution on the order of the machine epsilon.
Revised:  Here, we propose an extension to Riemannian manifolds of the line search of Hager and Zhang, which uses approximate Wolfe conditions that enable computing a solution on the order of the machine epsilon.
Edit intent: fluency
Original: The ATLAS Collaboration defines methods, establishes procedures, and organises advisory groups to manage the publication processes of scientific papers, conference papers, and public notes.
Revised: The ATLAS collaboration defines methods, establishes procedures, and organises advisory groups to manage the publication processes of scientific papers, conference papers, and public notes.
Edit intent: fluency
Original:  The Phase 0 system was implemented using the FENCE framework and is integrated into the CERN GitLab software repository, to automatically configure workspaces where the analysis can be documented and used by the analysis team and managed by the conveners.
Revised:  The Phase 0 system was implemented using the FENCE framework and is integrated into the CERN GitLab software repository, to automatically configure workspaces where the analysis can be documented by the analysis team and managed by the conveners.
Edit intent: coherence
Original:  The ATLAS Physics and Committees Office provides support to the researchers and facilitates each phase of the publication process, allowing authors to focus on the article's contents that describe the results of the ATLAS experiment  .
Revised:  The framework and the workflow therein provides automatic and easy support to the researchers and facilitates each phase of the publication process, allowing authors to focus on the article's contents that describe the results of the ATLAS experiment .
Edit intent: clarity
Original:  A framework called FENCE is integrated into the CERN GitLab software repository, to automatically configure workspaces where the analysis can be documented by the analysis team and managed by the conveners . Continuous integration is used to guide the writers in applying accurate format and valid statements when preparing papers to be submitted to scientific journals.
Revised:  A framework called FENCE is integrated into the CERN GitLab software repository, to automatically configure workspaces where each analysis can be documented by the analysis team and managed by the conveners . Continuous integration is used to guide the writers in applying accurate format and valid statements when preparing papers to be submitted to scientific journals.
Edit intent: clarity