wanyu/IteraTeR_v2 huggingface dataset:
Original:  To mathematically analyze the subsidy effect, we take the two-stage  Cournot and Bertrand competition model and apply the equilibrium analysis based on the game-theoretic approach.
Revised:  To mathematically analyze the subsidy effect, we take the two-stage approach of Cournot and Bertrand competition model and apply the equilibrium analysis based on the game-theoretic approach.
Edit intent: clarity
Original: We present a Bayesian framework for estimating the customer equity  and the customer lifetime value (CLV) based on the purchasing behaviour deducible from the market surveys.
Revised: We present a Bayesian framework for estimating the customer equity (CE) and the customer lifetime value (CLV) based on the purchasing behaviour deducible from the market surveys.
Edit intent: clarity
Original: We present a Bayesian framework for estimating the customer equity  and the customer lifetime value (CLV) based on the purchasing behaviour deducible from the market surveys.
Revised: We present a Bayesian framework for estimating the customer equity and the customer lifetime value (CLV) based on the purchasing behavior deducible from the market surveys.
Edit intent: fluency
Original:  In contrast to personal purchase histories stored in a customer registry of a company, the survey provides information also on the purchase behaviour of the customers of the competitors.
Revised:  In contrast to personal purchase histories stored in a customer registry of a company, the survey provides information also on the purchase behavior of the customers of the competitors.
Edit intent: fluency
Original:  The proposed framework systematically takes into account the prior information and the sampling variance of the survey data and by using Bayesian statistics quantifies the uncertainty of the customer equity and CLV estimates by posterior distributions.
Revised:  The proposed framework systematically takes into account the prior information and the sampling variance of the survey data and by using Bayesian statistics quantifies the uncertainty of the CE and CLV estimates by posterior distributions.
Edit intent: clarity
Original: We present a Bayesian framework for estimating the customer equity (CE ) and the customer lifetime value (CLV ) based on the purchasing behavior deducible from the market surveys .
Revised: We present a Bayesian framework for estimating the customer lifetime value (CLV ) and the customer lifetime value (CLV ) based on the purchasing behavior deducible from the market surveys .
Edit intent: clarity
Original: We present a Bayesian framework for estimating the customer equity (CE ) and the customer lifetime value (CLV ) based on the purchasing behavior deducible from the market surveys .
Revised: We present a Bayesian framework for estimating the customer equity (CE ) and the customer equity (CE ) based on the purchasing behavior deducible from the market surveys .
Edit intent: clarity
Original:  The tools for analyzing them , however, still lag far behind their deterministic counterparts.
Revised:  The tools for analyzing such models , however, still lag far behind their deterministic counterparts.
Edit intent: clarity
Original:  Theoretical and computational solutions for these problems are obtained by utilizing a blend of ideas and techniques from probability theory, linear algebra , polynomial analysis and optimization theory.
Revised:  Theoretical and computational solutions for these problems are obtained by utilizing a blend of ideas from probability theory, linear algebra , polynomial analysis and optimization theory.
Edit intent: clarity
Original:  Theoretical and computational solutions for these problems are obtained by utilizing a blend of ideas and techniques from probability theory, linear algebra , polynomial analysis and optimization theory.
Revised:  Theoretical and computational solutions for these problems are obtained by utilizing a blend of ideas and techniques from probability theory, linear algebra and optimization theory.
Edit intent: clarity
Original:  It is notably shown that the computational complexity is often linear in the number of species , but worst-case quadratic .
Revised:  It is notably shown that the computational complexity is often linear in the number of species .
Edit intent: coherence
Original:  We demonstrate that  stability properties of a wide class of biological networks can be assessed from theoretical results that can be recast as efficient and scalable linear programs, well-known for their tractability.
Revised:  We demonstrate that the stability properties of a wide class of biological networks can be assessed from theoretical results that can be recast as efficient and scalable linear programs, well-known for their tractability.
Edit intent: fluency
Original:  We illustrate the validity, the efficiency and the universality of our results on several reaction networks arising in biochemistry, systems biology, epidemiology and ecology.
Revised:  We illustrate the validity, the efficiency and the wide applicability of our results on several reaction networks arising in biochemistry, systems biology, epidemiology and ecology.
Edit intent: clarity
Original: In this study we show that  current state-of-the-art synthetically generated fingerprints can easily be discriminated from real fingerprints.
Revised: In this study we show that by the current state-of-the-art synthetically generated fingerprints can easily be discriminated from real fingerprints.
Edit intent: clarity
Original:  Tests are conducted on the 12 publicly available databases of FVC2000, FVC2002 and FVC2004 which are important benchmarks for evaluating the performance of fingerprint recognition algorithms;
Revised:  Tests are conducted on the 12 publicly available databases of FVC2000, FVC2002 and FVC2004 which are well established benchmarks for evaluating the performance of fingerprint recognition algorithms;
Edit intent: clarity
Original:  We provide evidence that the evolution of a highly folded neocortex, as observed in humans, requires the traversal of a threshold of ~ 10^9 neurons, and that species above and below the threshold exhibit a bimodal distribution of physiological and life-history traits, establishing two phenotypic groups.
Revised:  We provide evidence that the evolution of a highly folded neocortex, as observed in humans, requires the traversal of a threshold of 10^9 neurons, and that species above and below the threshold exhibit a bimodal distribution of physiological and life-history traits, establishing two phenotypic groups.
Edit intent: fluency
Original:  We identify, using discrete mathematical models, a basal radial glia-derived transit-amplifying progenitor as evolutionarily necessary and sufficient for generating a fourteen-fold increase in daily prenatal neuron production and thus traversal of the neuronal threshold.
Revised:  We identify, using discrete mathematical models, proliferative divisions of progenitors in the basal compartment of the developing neocortex as evolutionarily necessary and sufficient for generating a fourteen-fold increase in daily prenatal neuron production and thus traversal of the neuronal threshold.
Edit intent: clarity
Original: An outstanding question in comparative genomics is  the evolutionary importance of gene expression differences between species.
Revised: One of the outstanding challenges in comparative genomics is the evolutionary importance of gene expression differences between species.
Edit intent: clarity
Original: An outstanding question in comparative genomics is  the evolutionary importance of gene expression differences between species.
Revised: An outstanding question in comparative genomics is the evolutionary importance of regulatory variation between species.
Edit intent: clarity
Original:  Rigorous molecular-evolution methods to infer evidence for natural selection from transcriptional profiling data are at a premium in the field, and to date, phylogenetic approaches have not been well-suited to address the question in the small sets of taxa profiled in standard surveys of gene expression.
Revised:  Rigorous molecular evolution-based methods to infer evidence for natural selection from transcriptional profiling data are at a premium in the field, and to date, phylogenetic approaches have not been well-suited to address the question in the small sets of taxa profiled in standard surveys of gene expression.
Edit intent: clarity
Original:  Rigorous molecular-evolution methods to infer evidence for natural selection from transcriptional profiling data are at a premium in the field, and to date, phylogenetic approaches have not been well-suited to address the question in the small sets of taxa profiled in standard surveys of gene expression.
Revised:  Rigorous molecular-evolution methods to infer evidence for natural selection from expression data are at a premium in the field, and to date, phylogenetic approaches have not been well-suited to address the question in the small sets of taxa profiled in standard surveys of gene expression.
Edit intent: clarity
Original:  To meet this challenge, we have developed a strategy to infer evolutionary histories from expression data by analyzing suites of genes of common function.
Revised:  We have developed a strategy to infer evolutionary histories from expression data by analyzing suites of genes of common function.
Edit intent: clarity
Original:  To meet this challenge, we have developed a strategy to infer evolutionary histories from expression data by analyzing suites of genes of common function.
Revised:  To meet this challenge, we have developed a strategy to infer evolutionary histories from expression profiles by analyzing suites of genes of common function.
Edit intent: clarity
Original:  In a manner conceptually similar to molecular-evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori-defined pathway with rates drawn from an inverse-gamma distribution.
Revised:  In a manner conceptually similar to molecular evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori-defined pathway with rates drawn from an inverse-gamma distribution.
Edit intent: fluency
Original:  In a manner conceptually similar to molecular-evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori-defined pathway with rates drawn from an inverse-gamma distribution.
Revised:  In a manner conceptually similar to molecular-evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori pathway with rates drawn from an inverse-gamma distribution.
Edit intent: clarity
Original:  In a manner conceptually similar to molecular-evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori-defined pathway with rates drawn from an inverse-gamma distribution.
Revised:  In a manner conceptually similar to molecular-evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori-defined-defined pathway with rates drawn from an inverse-gamma distribution.
Edit intent: fluency
Original:  In a manner conceptually similar to molecular-evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori-defined pathway with rates drawn from an inverse-gamma distribution.
Revised:  In a manner conceptually similar to molecular-evolution models in which the evolutionary rates of DNA sequence at multiple loci follow a gamma distribution, we modeled expression of the genes of an a priori-defined pathway with rates drawn from an inverse gamma distribution.
Edit intent: fluency
Original:  As an experimental testbed for our approach, we generated and analyzed transcriptional profiles of four Saccharomyces \emph{ yeasts.
Revised:  As an experimental testbed for our approach, we generated and analyzed transcriptional profiles of four \emph{ yeasts.
Edit intent: clarity
Original:  The results revealed pathways with signatures of constrained and accelerated regulatory evolution in individual yeasts , and across the phylogeny, highlighting the prevalence of pathway- level expression change during the divergence of yeast species.
Revised:  The results revealed pathways with signatures of constrained and accelerated regulatory evolution in individual yeasts and across the phylogeny, highlighting the prevalence of pathway- level expression change during the divergence of yeast species.
Edit intent: fluency
Original:  The results revealed pathways with signatures of constrained and accelerated regulatory evolution in individual yeasts , and across the phylogeny, highlighting the prevalence of pathway- level expression change during the divergence of yeast species.
Revised:  The results revealed pathways with signatures of constrained and accelerated regulatory evolution in individual yeasts , and across the phylogeny, highlighting the prevalence of pathway-level expression change during the divergence of yeast species.
Edit intent: fluency
Original:  Gene expression programming is capable of modelling complex realities with great accuracy, allowing , at the same time, the extraction of knowledge from the evolved models compared to other learning algorithms.
Revised:  Gene expression programming is capable of modelling complex realities with great accuracy, allowing at the same time, the extraction of knowledge from the evolved models compared to other learning algorithms.
Edit intent: fluency
Original:  Various algorithms widely used for multi objective optimization  like NSGA II and SPEA 2  are tested on different test problems.
Revised:  Various algorithms widely used for multi objective optimization , like NSGA II and SPEA 2 are tested on different test problems.
Edit intent: fluency
Original:  Various algorithms widely used for multi objective optimization  like NSGA II and SPEA 2  are tested on different test problems.
Revised:  Various algorithms widely used for multi objective optimization like NSGA II and SPEA 2 , are tested on different test problems.
Edit intent: fluency
Original:  The multi objective GEP base produces accurate and simpler (smaller) solutions compared to solutions evolved produced using GEP for dew point predictions.
Revised:  The multi-objective base GEP produces accurate and simpler (smaller) solutions compared to solutions evolved produced using GEP for dew point predictions.
Edit intent: fluency
Original:  The multi objective GEP base produces accurate and simpler (smaller) solutions compared to solutions evolved produced using GEP for dew point predictions.
Revised:  The multi objective GEP base produces accurate and simpler (smaller) solutions compared to solutions produced by plain GEP for dew point predictions.
Edit intent: clarity
Original:  Thus compared to models obtained by GEP , multiobjective algorithms fetch better solutions considering the dual objectives of fitness and size of the equation .
Revised:  Thus multi objective base GEP produces better solutions by considering the dual objectives of fitness and size of the equation .
Edit intent: clarity
Original:  Thus compared to models obtained by GEP , multiobjective algorithms fetch better solutions considering the dual objectives of fitness and size of the equation .
Revised:  Thus compared to models obtained by GEP , multiobjective algorithms fetch better solutions considering the dual objectives of fitness and size of the solution .
Edit intent: clarity
Original:  At the end of the lag phase (t=40 hours), consumption of fructose in samples with electrically activated inoculum exceeded fructose consumption in samples with control inoculums by 2.33 times when it was activated at E=100 V/cm and by 3.98 times after treatment at E=6000 V/cm.
Revised:  At the end of the lag phase (t=40 hours), consumption of fructose in samples with electrically activated inocula exceeded fructose consumption in samples with control inoculums by 2.33 times when it was activated at E=100 V/cm and by 3.98 times after treatment at E=6000 V/cm.
Edit intent: fluency
Original:  At the end of the lag phase (t=40 hours), consumption of fructose in samples with electrically activated inoculum exceeded fructose consumption in samples with control inoculums by 2.33 times when it was activated at E=100 V/cm and by 3.98 times after treatment at E=6000 V/cm.
Revised:  At the end of the lag phase (t=40 hours), consumption of fructose in samples with electrically activated inoculum exceeded fructose consumption in samples with control inocula by 2.33 times when it was activated at E=100 V/cm and by 3.98 times after treatment at E=6000 V/cm.
Edit intent: fluency
Original:  At the end of the log phase (120 hours of fermentation), 30\% mass reduction was reached in samples withPEF-treated inoculums (E=6000 V/cm), whereas the same mass reduction of the control sample required approximately, 20 hours of extra fermentation.
Revised:  At the end of the log phase (120 hours of fermentation), 30\% mass reduction was reached in samples with PEF-treated inocula (E=6000 V/cm), whereas the same mass reduction of the control sample required approximately, 20 hours of extra fermentation.
Edit intent: fluency
Original: Consider a complete communication network on n nodes, each of which is a state machine with s states .
Revised: Consider a complete communication network on n nodes, each of which is a state machine .
Edit intent: clarity
Original:  We prove that the problem cannot be solved with only 2 states  for n = 4, but there is a 2-state solution for all values n \ge 6. 
Revised:  Moreover, the problem cannot be solved with only 2 states for n = 4, but there is a 2-state solution for all values n \ge 6. 
Edit intent: coherence
Original:  Motivated by the recent findings on the predictability of human behavior patterns in data networks, and the emergence of highly capable handheld devices (such as smart phones), our framework aims to smooth out the network traffic over time for minimizing the total cost required for data delivery .
Revised:  Motivated by the recent findings on the predictability of human behavior patterns in data networks, and the emergence of highly capable handheld devices , our design aims to smooth out the network traffic over time for minimizing the total cost required for data delivery .
Edit intent: clarity
Original:  Motivated by the recent findings on the predictability of human behavior patterns in data networks, and the emergence of highly capable handheld devices (such as smart phones), our framework aims to smooth out the network traffic over time for minimizing the total cost required for data delivery .
Revised:  Motivated by the recent findings on the predictability of human behavior patterns in data networks, and the emergence of highly capable handheld devices (such as smart phones), our framework aims to smooth out the network traffic over time and minimize the data delivery costs .
Edit intent: clarity
Original:  Proactive data services take place during the off-peak hours based on a statistical prediction  demand profile for each user, whereas smart content recommendation assigns modified valuations to data item so as to render the users  demand less uncertain.
Revised:  Proactive data services take place during the off-peak hours based on a statistical prediction of a demand profile for each user, whereas smart content recommendation assigns modified valuations to data item so as to render the users demand less uncertain.
Edit intent: clarity
Original:  Proactive data services take place during the off-peak hours based on a statistical prediction  demand profile for each user, whereas smart content recommendation assigns modified valuations to data item so as to render the users  demand less uncertain.
Revised:  Proactive data services take place during the off-peak hours based on a statistical prediction demand profile for each user, whereas smart content recommendation assigns modified valuations to data items so as to render the users demand less uncertain.
Edit intent: fluency
Original:  Proactive data services take place during the off-peak hours based on a statistical prediction  demand profile for each user, whereas smart content recommendation assigns modified valuations to data item so as to render the users  demand less uncertain.
Revised:  Proactive data services take place during the off-peak hours based on a statistical prediction demand profile for each user, whereas smart content recommendation assigns modified valuations to data item so as to render the users ' demand less uncertain.
Edit intent: fluency
Original:  Further, we prove that demand shaping through smart recommendation strictly reduces the incurred cost even below that of proactive downloads without recommendation.
Revised:  Further, we prove that demand shaping through smart recommendation strictly reduces the incurred cost even below that of proactive downloads without recommendation.
Edit intent: fluency
Original:  Assuming that DCIS size is proportional to a positive power p of the time since tumour initiation , we estimate p to be 0.50 with a 95\% confidence interval of (0.35, 0.71).
Revised:  Assuming that DCIS size is proportional to a positive power p of the time since tumour initiation we estimate p to be 0.50 with a 95\% confidence interval of (0.35, 0.71).
Edit intent: fluency
Original: The Yule process generates a class of binary trees which are fundamental to many population genetic models and other applications in  biology.
Revised: The Yule process generates a class of binary trees which is fundamental to population genetic models and other applications in biology.
Edit intent: clarity
Original:  As a case study we focus on the distribution of the number of cherries, i.e. the number of subtrees with two leaves.
Revised:  As a case study we focus on the distribution of the number of subtrees with two leaves.
Edit intent: coherence
Original:  We show that expectation and variance of this distribution match those for un-restricted trees already for very small values of w.
Revised:  We show that expectation and variance of this distribution match those for unconstrained trees already for very small values of w.
Edit intent: clarity
Original:  We find that the conditions for SSS , as obtained applying renormalization group analysis and Monte Carlo simulation to a discrete-space model, differ significantly from those found in the spatially homogeneous case  .
Revised:  We find that the conditions for SSS , as obtained applying renormalization group analysis and Monte Carlo simulation , differ in detail from those found in the spatially homogeneous case .
Edit intent: clarity
Original: Polynomial system solving is a classical problem in mathematics with a wide range of applications which make its complexity a central study in theoretical computer science.
Revised: Polynomial system solving is a classical problem in mathematics with a wide range of applications . This makes its complexity a central study in theoretical computer science.
Edit intent: coherence
Original: Polynomial system solving is a classical problem in mathematics with a wide range of applications which make its complexity a central study in theoretical computer science.
Revised: Polynomial system solving is a classical problem in mathematics with a wide range of applications which make its complexity a fundamental problem in computer science.
Edit intent: clarity
Original:  In the neutral limit, such calculation recovers the Fisher log-series .
Revised:  In the neutral limit, the Fisher log-series .
Edit intent: clarity
Original:  We also investigate numerically species extinction-time distribution and compare it with the neutral case.
Revised:  Numerical studies of species extinction-time distribution and compare it with the neutral case.
Edit intent: clarity