wanyu/IteraTeR_v2 huggingface dataset:
Original: Information-related measures are important tools of multi-variable data analysis, as measures of dependence among variables and the description of order in biological and physical systems.
Revised: Information-related measures are important tools of multi-variable data analysis, as measures of dependence among variables , and as descriptions of order in biological and physical systems.
Edit intent: fluency
Original:  Informtion-related measures, like marginal entropies, mutual / interaction / multi-information, are also relevant to the theory of complexity of systems and biological data analysis.
Revised:  Information related measures, like marginal entropies, mutual / interaction / multi-information, are also relevant to the theory of complexity of systems and biological data analysis.
Edit intent: fluency
Original:  Informtion-related measures, like marginal entropies, mutual / interaction / multi-information, are also relevant to the theory of complexity of systems and biological data analysis.
Revised:  Informtion-related measures, like marginal entropies, mutual / interaction / multi-information, have been used in a number of fields including descriptions of systems complexity and biological data analysis.
Edit intent: clarity
Original:  The mathematical properties and relationships among these measures are therefore of significant interest.
Revised:  The mathematical relationships among these measures are therefore of significant interest.
Edit intent: clarity
Original:  A number of interesting relations between common information measures include the duality relations based on M\"obius inversion on lattices , which are the direct consequence of the symmetries of the lattices  (subsets ordered by inclusion) of the sets of variables .
Revised:  Relations between common information measures include the duality relations based on M\"obius inversion on lattices , which are the direct consequence of the symmetries of the lattices (subsets ordered by inclusion) of the sets of variables .
Edit intent: clarity
Original:  A number of interesting relations between common information measures include the duality relations based on M\"obius inversion on lattices , which are the direct consequence of the symmetries of the lattices  (subsets ordered by inclusion) of the sets of variables .
Revised:  A number of interesting relations between common information measures include the duality relations based on M\"obius inversion on lattices . These are the direct consequence of the symmetries of the lattices (subsets ordered by inclusion) of the sets of variables .
Edit intent: coherence
Original:  A number of interesting relations between common information measures include the duality relations based on M\"obius inversion on lattices , which are the direct consequence of the symmetries of the lattices  (subsets ordered by inclusion) of the sets of variables .
Revised:  A number of interesting relations between common information measures include the duality relations based on M\"obius inversion on lattices , which are the direct consequence of the symmetries of the lattices of the sets of variables (subsets ordered by inclusion) of the sets of variables .
Edit intent: fluency
Original:  In this paper we define operators on functions on these lattices  that map the functions into one another , called M\"obius operators.
Revised:  In this paper we define operators on functions on these lattices that map the functions into one another ( M\"obius operators.
Edit intent: coherence
Original:   We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Revised:  ) We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Edit intent: fluency
Original:   We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Revised:  We show that these operators form a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Edit intent: clarity
Original:   We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Revised:  We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of the operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Edit intent: fluency
Original:   We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Revised:  We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and , applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Edit intent: coherence
Original:   We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Revised:  We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to derive a wide range of relationships among measures useful in data analysis, including conditional probabilities .
Edit intent: clarity
Original:   We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures useful in data analysis, including conditional probabilities .
Revised:  We show that these operators define a simple group isomorphic to the symmetric group S3. Relations among the set of functions on the lattice are transparently expressed in terms of this operator algebra, and when applied to the information measures, can be used to describe relationships among measures .
Edit intent: clarity
Original:  We describe a direct relation between sums of conditional log-likelihoods and previously defined dependency /complexity measures.
Revised:  We describe a direct relation between sums of conditional log-likelihoods and previously defined dependency measures.
Edit intent: clarity
Original:  The algebra can be generalized by defining operators for all possible lattice reference elements (subsets), which yields a general set of relationships more extensive and inclusive than the usual M\"obius inversion relations .
Revised:  The algebra is naturally generalized which yields more extensive relationships .
Edit intent: clarity
Original: Data describing the historical growth of human population in the world, as well as in Western Europe, Eastern Europe, Asia, former USSR, Africa and Latin America  are analysed.
Revised: Data describing the historical growth of human population in the world, as well as in Western Europe, Eastern Europe, Asia, former USSR, Africa and Latin America ) are analysed.
Edit intent: fluency
Original:  This analysis and the earlier analyses of the Gross Domestic Product demonstrate that there were  no takeoffs in the income per capita distributions, claimed by the Unified Growth Theory.
Revised:  This analysis and the earlier studies of the Gross Domestic Product demonstrate that there were no takeoffs in the income per capita distributions, claimed by the Unified Growth Theory.
Edit intent: clarity
Original:  This analysis and the earlier analyses of the Gross Domestic Product demonstrate that there were  no takeoffs in the income per capita distributions, claimed by the Unified Growth Theory.
Revised:  This analysis and the earlier analyses of the Gross Domestic Product lead to the conclusion that there were no takeoffs in the income per capita distributions, claimed by the Unified Growth Theory.
Edit intent: clarity
Original:  This analysis and the earlier analyses of the Gross Domestic Product demonstrate that there were  no takeoffs in the income per capita distributions, claimed by the Unified Growth Theory.
Revised:  This analysis and the earlier analyses of the Gross Domestic Product demonstrate that there were also no takeoffs in the income per capita distributions, claimed by the Unified Growth Theory.
Edit intent: clarity
Original:  Consequently, differential takeoffs also did not exist .
Revised:  Consequently, the claimed in this theory differential timing in takeoffs never happened .
Edit intent: clarity
Original: In this work  we investigate optimal geographical caching in heterogeneous cellular networks.
Revised: In this work , we investigate optimal geographical caching in heterogeneous cellular networks.
Edit intent: fluency
Original:  There is a content library containing files with the same size with popularities following a probability distribution.
Revised:  There is a content library containing files with popularities following a probability distribution.
Edit intent: clarity
Original:  There are different types of base stations in the plane with different cache capacities.
Edit intent: coherence
Original:  The performance metric is the total hit probability  which is the probability that a user at an arbitrary location in the plane will find the content that he requires in one of the base stations that he is covered by.
Revised:  The performance metric is the total hit probability , which is the probability that a user at an arbitrary location in the plane will find the content that he requires in one of the base stations that he is covered by.
Edit intent: fluency
Original:  The performance metric is the total hit probability  which is the probability that a user at an arbitrary location in the plane will find the content that he requires in one of the base stations that he is covered by.
Revised:  The performance metric is the total hit probability which is the probability that a user at an arbitrary location in the plane will find the content that it requires in one of the base stations that he is covered by.
Edit intent: clarity
Original:  The performance metric is the total hit probability  which is the probability that a user at an arbitrary location in the plane will find the content that he requires in one of the base stations that he is covered by.
Revised:  The performance metric is the total hit probability which is the probability that a user at an arbitrary location in the plane will find the content that he requires in one of the BSs that it is covered by.
Edit intent: clarity
Original:  As a result we are able to show how the hit probability evolves as the deployment density of the new type of base stations increases .
Revised:  As a result we are able to show how the hit probability evolves as the deployment density of the SBSs varies .
Edit intent: clarity
Original:  Also, we show that for the second type of base station no such heuristic can be used;
Revised:  Also, for the SBSs no such heuristic can be used;
Edit intent: coherence
Original:  optimal content placement is significantly better than storing the most popular content  .
Revised:  the optimal placement is significantly better than storing the most popular content .
Edit intent: clarity
Original: In this work , we investigate optimal geographical caching in heterogeneous cellular networks . Different types of base stations (BSs) have different cache capacities.
Revised: In this work we investigate optimal geographical caching in heterogeneous cellular networks . Different types of base stations (BSs) have different cache capacities.
Edit intent: fluency
Original: In this work , we investigate optimal geographical caching in heterogeneous cellular networks . Different types of base stations (BSs) have different cache capacities.
Revised: In this work , we investigate optimal geographical caching in heterogeneous cellular networks where different types of base stations (BSs) have different cache capacities.
Edit intent: clarity
Original:  The content library is containing files with popularities following a probability distribution.
Revised:  Users request files from a content library according to a known probability distribution.
Edit intent: clarity
Original:  As this problem is not convex, we provide a heuristic scheme by finding the optimal placement policies for different types of BSs using the information coming from the other types.
Revised:  As this problem is not convex, we provide a heuristic scheme by finding the optimal placement policy for one type of base station conditioned on the placement in all other types.
Edit intent: clarity
Original:  In particular the fossilized birth-death tree prior and the Lewis-MK model of evolution of discrete morphological change allow for the estimation of both divergence times and phylogenetic relationships between fossil and extant taxa.
Revised:  In particular the fossilized birth-death tree prior and the Lewis-Mk model of discrete morphological evolution allow for the estimation of both divergence times and phylogenetic relationships between fossil and extant taxa.
Edit intent: clarity
Original:  We exploit this statistical framework to investigate the internal consistency of these models by estimating the phylogenetic age of each fossil in turn, within two rich and well-characterized data sets of fossil and extant species  .
Revised:  We exploit this statistical framework to investigate the internal consistency of these models by producing phylogenetic estimates of the age of each fossil in turn, within two rich and well-characterized data sets of fossil and extant species .
Edit intent: clarity
Original:  In fact in the two data sets we analyze the phylogenetic age of a fossil species is on average < 2My from the midpoint age of the geological strata from which it was excavated.
Revised:  In fact in the two data sets we analyze the phylogenetic estimates of fossil age is on average < 2My from the midpoint age of the geological strata from which it was excavated.
Edit intent: clarity
Original:  In fact in the two data sets we analyze the phylogenetic age of a fossil species is on average < 2My from the midpoint age of the geological strata from which it was excavated.
Revised:  In fact in the two data sets we analyze the phylogenetic age of a fossil species is on average < 2 My from the midpoint age of the geological strata from which it was excavated.
Edit intent: fluency
Original:  The high level of internal consistency found in our analyses provides strong evidence that the Bayesian statistical model employed is a good fit for both the geological and morphological data, and provides striking evidence from real data that the framework used can accurately model the evolution of discrete morphological traits coded from fossil and extant taxa.
Revised:  The high level of internal consistency found in our analyses suggests that the Bayesian statistical model employed is a good fit for both the geological and morphological data, and provides striking evidence from real data that the framework used can accurately model the evolution of discrete morphological traits coded from fossil and extant taxa.
Edit intent: clarity
Original:  The high level of internal consistency found in our analyses provides strong evidence that the Bayesian statistical model employed is a good fit for both the geological and morphological data, and provides striking evidence from real data that the framework used can accurately model the evolution of discrete morphological traits coded from fossil and extant taxa.
Revised:  The high level of internal consistency found in our analyses provides strong evidence that the Bayesian statistical model employed is an adequate fit for both the geological and morphological data, and provides striking evidence from real data that the framework used can accurately model the evolution of discrete morphological traits coded from fossil and extant taxa.
Edit intent: clarity
Original:  The high level of internal consistency found in our analyses provides strong evidence that the Bayesian statistical model employed is a good fit for both the geological and morphological data, and provides striking evidence from real data that the framework used can accurately model the evolution of discrete morphological traits coded from fossil and extant taxa.
Revised:  The high level of internal consistency found in our analyses provides strong evidence that the Bayesian statistical model employed is a good fit for both the geological and morphological data, and provides evidence from real data that the framework used can accurately model the evolution of discrete morphological traits coded from fossil and extant taxa.
Edit intent: clarity
Original:  We anticipate that this approach will have diverse applications beyond divergence time dating, including dating fossils that are temporally unconstrained, testing  the "morphological clock", and for uncovering potential model misspecification and/or data errors when controversial phylogenetic hypotheses are obtained based on combined divergence dating analyses.
Revised:  We anticipate that this approach will have diverse applications beyond divergence time dating, including dating fossils that are temporally unconstrained, testing of the "morphological clock", and for uncovering potential model misspecification and/or data errors when controversial phylogenetic hypotheses are obtained based on combined divergence dating analyses.
Edit intent: fluency
Original:  In this paper, we propose QueryFix , a framework that derives explanations and repairs for discrepancies in relational data, by analyzing the effect of queries that operated on the data and identifying potential mistakes in those queries.
Revised:  In this paper, we propose QFix , a framework that derives explanations and repairs for discrepancies in relational data, by analyzing the effect of queries that operated on the data and identifying potential mistakes in those queries.
Edit intent: fluency
Original:  QueryFix is flexible, handling scenarios where only a subset of the true discrepancies is known, and robust to different types of update workloads.
Revised:  QFix is flexible, handling scenarios where only a subset of the true discrepancies is known, and robust to different types of update workloads.
Edit intent: fluency
Original:  we develop exact methods for deriving diagnoses and fixes for identified errors using state-of-the-art tools , (c) we present several optimizations techniques that improve our basic approach without compromising accuracy, and (d) we leverage a tradeoff between accuracy and performance to scale diagnosis to large datasets and query logs, while achieving near-optimal results.
Revised:  we develop exact methods for deriving diagnoses and fixes for identified errors using state-of-the-art tools ; (c) we present several optimizations techniques that improve our basic approach without compromising accuracy, and (d) we leverage a tradeoff between accuracy and performance to scale diagnosis to large datasets and query logs, while achieving near-optimal results.
Edit intent: fluency
Original:  we develop exact methods for deriving diagnoses and fixes for identified errors using state-of-the-art tools , (c) we present several optimizations techniques that improve our basic approach without compromising accuracy, and (d) we leverage a tradeoff between accuracy and performance to scale diagnosis to large datasets and query logs, while achieving near-optimal results.
Revised:  we develop exact methods for deriving diagnoses and fixes for identified errors using state-of-the-art tools , (c) we present several optimization techniques that improve our basic approach without compromising accuracy, and (d) we leverage a tradeoff between accuracy and performance to scale diagnosis to large datasets and query logs, while achieving near-optimal results.
Edit intent: fluency
Original:  We demonstrate the effectiveness of QueryFix through extensive evaluation over real-world and synthetic data.
Revised:  We demonstrate the effectiveness of QFix through extensive evaluation over real-world and synthetic data.
Edit intent: fluency
Original:  We demonstrate the effectiveness of QueryFix through extensive evaluation over real-world and synthetic data.
Revised:  We demonstrate the effectiveness of QueryFix through extensive evaluation over benchmark and synthetic data.
Edit intent: clarity
Original:  We find  the diffusion of donations to be driven by independent reinforcement contagion: people are more likely to donate when exposed to donors from different social groups than when they are exposed to equally many donors from the same group.
Revised:  We find that the diffusion of donations to be driven by independent reinforcement contagion: people are more likely to donate when exposed to donors from different social groups than when they are exposed to equally many donors from the same group.
Edit intent: fluency
Original:  We find  the diffusion of donations to be driven by independent reinforcement contagion: people are more likely to donate when exposed to donors from different social groups than when they are exposed to equally many donors from the same group.
Revised:  We find the diffusion of donations is driven by independent reinforcement contagion: people are more likely to donate when exposed to donors from different social groups than when they are exposed to equally many donors from the same group.
Edit intent: clarity
Original: Tourism is  a significant contributor to medium and long range travels in an increasingly globalized world.
Revised: Tourism is becoming a significant contributor to medium and long range travels in an increasingly globalized world.
Edit intent: clarity
Original:  Leisure travel has an important impact on the local and global economy and on the environment as well .
Revised:  Leisure traveling has an important impact on the local and global economy and on the environment as well .
Edit intent: fluency
Original:  Leisure travel has an important impact on the local and global economy and on the environment as well .
Revised:  Leisure travel has an important impact on the local and global economy as well as on the environment as well .
Edit intent: coherence