wanyu/IteraTeR_v2 huggingface dataset:
Original:  This approach allows us to tackle in a systematic manner some of the relevant questions concerning population dynamics under environmental variability such as, for instance, determining the stationary population density, establishing the conditions under which a population may become extinct, and estimating extinction times.
Revised:  Our approach allows us to tackle in a systematic manner some of the relevant questions concerning population dynamics under environmental variability such as, for instance, determining the stationary population density, establishing the conditions under which a population may become extinct, and estimating extinction times.
Edit intent: fluency
Original:  This approach allows us to tackle in a systematic manner some of the relevant questions concerning population dynamics under environmental variability such as, for instance, determining the stationary population density, establishing the conditions under which a population may become extinct, and estimating extinction times.
Revised:  This approach allows us to tackle in a systematic manner some of the relevant questions concerning population dynamics under environmental variability , such as determining the stationary population density, establishing the conditions under which a population may become extinct, and estimating extinction times.
Edit intent: coherence
Original:  We shed light onto these questions, putting the focus on the emerging phase diagram and the possible phase transitions, underlying how these change with respect to the noiseless case .
Revised:  We shed light onto these questions, putting the focus on the emerging phase diagram and its possible phase transitions, underlying how these change with respect to the noiseless case .
Edit intent: clarity
Original:  We shed light onto these questions, putting the focus on the emerging phase diagram and the possible phase transitions, underlying how these change with respect to the noiseless case .
Revised:  We shed light onto these questions, putting the focus on the emerging phase diagram and the possible phase transitions, underlying how these are affected by the presence of environmental noise time-correlations .
Edit intent: clarity
Original:  We perform some rigorous analysis of the method to demonstrate its L ^2 stability under the irregular data often presented by reservoir engineering problems and present several numerical tests to demonstrate the quality of the results that are produced by the proposed scheme.
Revised:  We perform some rigorous analysis of the method to demonstrate its L 2 stability under the irregular data often presented by reservoir engineering problems and present several numerical tests to demonstrate the quality of the results that are produced by the proposed scheme.
Edit intent: clarity
Original:  In this paper, we introduce two graph types  which combine both metrics in a single graph .
Revised:  In this paper, we introduce two graph types , which combine both metrics in a single graph .
Edit intent: fluency
Original: Given a convex polygon P with n vertices, we show that all the maximal area triangles in P can be computed ] in linear time .
Revised: In ] in linear time .
Edit intent: clarity
Original: The widely known linear time algorithm for computing the maximum area triangle in a convex polygon was found incorrect by Keikha et. al.
Revised: The widely known linear time algorithm for computing the maximum area triangle in a convex polygon was found incorrect by Keikha et. \ al
Edit intent: fluency
Original:  [arXiv  1705.11035].
Revised:  [arXiv : 1705.11035].
Edit intent: fluency
Original:  Also, our new approach seems powerful in solving other related problems.
Revised:  Also, our new approach is powerful in solving other related problems.
Edit intent: coherence
Original:  \ al arXiv:1705.11035  .
Revised:  al.( arXiv:1705.11035 .
Edit intent: fluency
Original:  \ al arXiv:1705.11035  .
Revised:  \ al arXiv:1705.11035 ) .
Edit intent: fluency
Original:  Also, our new approach is powerful in solving other related problems.
Revised:  Also, our new approach is powerful in solving related problems.
Edit intent: clarity
Original:  In a side-by-side comparison , TIE Microscopy of MTs shows an improvement in signal-to-background-noise ratio of more than three times that of video-enhanced bright images .
Revised:  In a side-by-side comparison , TIE Microscopy of MTs shows an improvement of more than three times that of video-enhanced bright images .
Edit intent: clarity
Original:  In a side-by-side comparison , TIE Microscopy of MTs shows an improvement in signal-to-background-noise ratio of more than three times that of video-enhanced bright images .
Revised:  In a side-by-side comparison , TIE Microscopy of MTs shows an improvement in signal-to-background-noise ratio of more than three times that of video-enhanced bright field imaging .
Edit intent: clarity
Original: Whether we prepare a coffee or navigate to a shop: in many tasks we make multiple decisions before reaching a goal.
Revised: In many daily tasks we make multiple decisions before reaching a goal.
Edit intent: clarity
Original:  Here we investigate behaviorally and neurally whether humans utilize an ET when learning a multi-step decision making task.
Revised:  Here we asked whether humans use eligibility traces. We developed a novel paradigm to directly observe which actions and states along a multi-step decision making task.
Edit intent: clarity
Original: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Revised: We introduce the constrained topological sorting problem ( CTS ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Edit intent: clarity
Original: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Revised: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Edit intent: clarity
Original: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Revised: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort that forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Edit intent: fluency
Original: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Revised: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word in K . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Edit intent: clarity
Original: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, including scheduling with costs or verifying concurrent programs.
Revised: We introduce the constrained topological sorting problem ( CTS-problem ): given a target language L and a directed acyclic graph (DAG) G with labeled vertices, determine if G has a topological sort which forms a word that belongs to L . This natural problem applies to several settings, e.g., scheduling with costs or verifying concurrent programs.
Edit intent: coherence
Original:  We show that both problems are tractable (in NL) for ]  unions of monomials, a useful language class for pattern matching , as well as some other cases.
Revised:  We show that both problems are tractable (in NL) for ] unions of monomials, which can be used for pattern matching , as well as some other cases.
Edit intent: clarity
Original:  Our proofs use a variety of tools ranging from complexity theory, combinatorics, algebraic automata theory, Ramsey's theorem, as well as a custom reduction and other new techniques ]  ]  ]  .
Revised:  Our proofs use a variety of tools ranging from complexity theory, combinatorics, algebraic automata theory, Ramsey's theorem, as well as a custom reduction and other new techniques K] ] ] .
Edit intent: fluency
Original:  Our proofs use a variety of tools ranging from complexity theory, combinatorics, algebraic automata theory, Ramsey's theorem, as well as a custom reduction and other new techniques ]  ]  ]  .
Revised:  Our proofs use a variety of tools ranging from complexity theory, combinatorics, algebraic automata theory, Ramsey's theorem, as well as a custom reduction and other new techniques ] K] ] .
Edit intent: fluency
Original:  Our proofs use a variety of tools ranging from complexity theory, combinatorics, algebraic automata theory, Ramsey's theorem, as well as a custom reduction and other new techniques ]  ]  ]  .
Revised:  Our proofs use a variety of tools ranging from complexity theory, combinatorics, algebraic automata theory, Ramsey's theorem, as well as a custom reduction and other new techniques ] ] K] .
Edit intent: coherence
Original:  We also study almost stable matchings, called Min-Block Stable Roommates, which seeks to find a matching with a minimum number \beta of blocking pairs.
Revised:  We also study almost stable matchings, called Min-Block-Pairs Stable Roommates, which seeks to find a matching with a minimum number \beta of blocking pairs.
Edit intent: clarity
Original: The classical Stable Roommates problem (which is a non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents ( i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair ) . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Revised: The classic Stable Roommates problem (which is a non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents ( i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair ) . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Edit intent: clarity
Original: The classical Stable Roommates problem (which is a non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents ( i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair ) . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Revised: The classical Stable Roommates problem (which is the non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents ( i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair ) . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Edit intent: fluency
Original: The classical Stable Roommates problem (which is a non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents ( i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair ) . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Revised: The classical Stable Roommates problem (which is a non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents , i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair ) . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Edit intent: fluency
Original: The classical Stable Roommates problem (which is a non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents ( i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair ) . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Revised: The classical Stable Roommates problem (which is a non-bipartite generalization of the well-known Stable Marriage problem) asks whether there is a stable matching for a given set of agents ( i.e. a partitioning of the agents into disjoint pairs such that no two agents induce a blocking pair . Herein, each agent has a preference list denoting who it prefers to have as a partner, and two agents are blocking if they prefer to be with each other rather than with their assigned partners.
Edit intent: fluency
Original:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, (  i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Revised:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egal Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, ( i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Edit intent: fluency
Original:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, (  i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Revised:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Edit intent: fluency
Original:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, (  i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Revised:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, ( , i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Edit intent: fluency
Original:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, (  i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Revised:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, ( i.e. the sum of the dissatisfaction of the agents is minimum ) .
Edit intent: clarity
Original:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, (  i.e. the sum of the dissatisfaction of the matched agents is minimum ) .
Revised:  Since stable matchings may not be unique, we study an NP-hard optimization variant of Stable Roommates, called Egalitarian Stable Roommates, which seeks to find a stable matching with a minimum egalitarian cost \gamma, ( i.e. the sum of the dissatisfaction of the matched agents is minimum .
Edit intent: fluency
Original:  We also study almost stable matchings, called Min-Block-Pairs Stable Roommates, which seeks to find a matching with a minimum number \beta of blocking pairs.
Revised:  We also study almost stable matchings, called Min-Block-Pair Stable Roommates, which seeks to find a matching with a minimum number \beta of blocking pairs.
Edit intent: fluency
Original:  We also study almost stable matchings, called Min-Block-Pairs Stable Roommates, which seeks to find a matching with a minimum number \beta of blocking pairs.
Revised:  We also study almost stable matchings, called Min-Block-Pairs Stable Roommates, which seeks to find a matching with a minimum number \beta of blocking pairs.
Edit intent: fluency
Original:  Our main result is that Egalitarian Stable Roommates parameterized by \gamma is fixed-parameter tractable while Min-Block-Pairs Stable Roommates parameterized by \beta is W[1]-hard  .
Revised:  Our main result is that Egal Stable Roommates parameterized by \gamma is fixed-parameter tractable while Min-Block-Pairs Stable Roommates parameterized by \beta is W[1]-hard .
Edit intent: fluency
Original:  Our main result is that Egalitarian Stable Roommates parameterized by \gamma is fixed-parameter tractable while Min-Block-Pairs Stable Roommates parameterized by \beta is W[1]-hard  .
Revised:  Our main result is that Egalitarian Stable Roommates parameterized by \gamma is fixed-parameter tractable while Min-Block-Pairs Stable Roommates parameterized by \beta is W[1]-hard .
Edit intent: fluency
Original:  Our main result is that Egalitarian Stable Roommates parameterized by \gamma is fixed-parameter tractable while Min-Block-Pairs Stable Roommates parameterized by \beta is W[1]-hard  .
Revised:  Our main result is that Egalitarian Stable Roommates parameterized by \gamma is fixed-parameter tractable , while Min-Block-Pair Stable Roommates parameterized by \beta is W[1]-hard .
Edit intent: fluency
Original: Phenomics is an emerging branch of modern biology , which uses high throughput phenotyping tools to capture multiple environment and phenotypic trait measurements, at a massive scale .
Revised: Phenomics is an emerging branch of modern biology that uses high throughput phenotyping tools to capture multiple environment and phenotypic trait measurements, at a massive scale .
Edit intent: coherence
Original: Phenomics is an emerging branch of modern biology , which uses high throughput phenotyping tools to capture multiple environment and phenotypic trait measurements, at a massive scale .
Revised: Phenomics is an emerging branch of modern biology , which uses high throughput phenotyping tools to capture multiple environmental and phenotypic traits, often at massive spatial and temporal scales .
Edit intent: clarity
Original:  The resulting high dimensional data sets represent a treasure trove of information for providing an indepth understanding of how multiple factors interact and contribute to control the growth and behavior of different plant crop genotypes.
Revised:  The resulting high dimensional data represent a treasure trove of information for providing an indepth understanding of how multiple factors interact and contribute to control the growth and behavior of different plant crop genotypes.
Edit intent: clarity
Original:  The resulting high dimensional data sets represent a treasure trove of information for providing an indepth understanding of how multiple factors interact and contribute to control the growth and behavior of different plant crop genotypes.
Revised:  The resulting high dimensional data sets represent a treasure trove of information for providing an in-depth understanding of how multiple factors interact and contribute to control the growth and behavior of different plant crop genotypes.
Edit intent: fluency
Original:  The resulting high dimensional data sets represent a treasure trove of information for providing an indepth understanding of how multiple factors interact and contribute to control the growth and behavior of different plant crop genotypes.
Revised:  The resulting high dimensional data sets represent a treasure trove of information for providing an indepth understanding of how multiple factors interact and contribute to the overall growth and behavior of different plant crop genotypes.
Edit intent: clarity
Original:  The resulting high dimensional data sets represent a treasure trove of information for providing an indepth understanding of how multiple factors interact and contribute to control the growth and behavior of different plant crop genotypes.
Revised:  The resulting high dimensional data sets represent a treasure trove of information for providing an indepth understanding of how multiple factors interact and contribute to control the growth and behavior of different genotypes.
Edit intent: clarity
Original:  However, computational tools that can parse through such high dimensional data sets and aid in extracting plausible hypothesis are currently lacking.
Revised:  However, computational tools that can parse through such complex data and aid in extracting plausible hypothesis are currently lacking.
Edit intent: clarity
Original:  However, computational tools that can parse through such high dimensional data sets and aid in extracting plausible hypothesis are currently lacking.
Revised:  However, computational tools that can parse through such high dimensional data sets and aid in extracting plausible hypotheses are currently lacking.
Edit intent: fluency
Original:  We applied this novel algorithmic approach on a real-world maize data set .
Revised:  We applied this novel algorithmic approach on a real-world plant (maize) data sets .
Edit intent: clarity