wanyu/IteraTeR_v2 huggingface dataset:
Original:  A near-linear time algorithm is given to find in a graph with an Eulerian orientation a second perfect matching of opposite sign , in contrastto the complementary pivoting algorithm which may be exponential.
Revised:  A near-linear time algorithm is given to find in a graph with an Eulerian orientation with a perfect matching, find another perfect matching of opposite sign , in contrastto the complementary pivoting algorithm which may be exponential.
Edit intent: clarity
Original:  A near-linear time algorithm is given to find in a graph with an Eulerian orientation a second perfect matching of opposite sign , in contrastto the complementary pivoting algorithm which may be exponential.
Revised:  A near-linear time algorithm is given to find in a graph with an Eulerian orientation a second perfect matching of opposite sign . In contrast, the complementary pivoting algorithm which may be exponential.
Edit intent: fluency
Original:  A near-linear time algorithm is given to find in a graph with an Eulerian orientation a second perfect matching of opposite sign , in contrastto the complementary pivoting algorithm which may be exponential.
Revised:  A near-linear time algorithm is given to find in a graph with an Eulerian orientation a second perfect matching of opposite sign , in contrastto the complementary pivoting algorithm for this problem may be exponential.
Edit intent: clarity
Original:  We use Vizing's classi?cation of simple graphs based on edge chromatic index.
Revised:  We use Vizing's classification of simple graphs based on edge chromatic index.
Edit intent: fluency
Original: Over the past several years, DNA sequencing has emerged as one of the driving forces in life-sciences, paving the way towards affordable and accurate whole genome sequencing.
Revised: Over the past several years, DNA sequencing has emerged as one of the driving forces in life-sciences, paving the way for affordable and accurate whole genome sequencing.
Edit intent: clarity
Original:  However, the very same progress raises some worrisome privacy issues , since a genome represents a treasure trove of highly personal and sensitive information.
Revised:  Unfortunately, however, the proliferation of human genomes amplifies worrisome privacy concerns , since a genome represents a treasure trove of highly personal and sensitive information.
Edit intent: clarity
Original:  We present an algorithm which, given a polynomial f(z) over R of degree less than n, n at most N, gives a vector of n weighted evaluations of f(z), using 1/2 n log n + O(n) ring multiplications.
Revised:  We present an algorithm which, given a polynomial f(z) over R of degree less than n, n at most N, gives a vector of n evaluations of f(z), using 1/2 n log n + O(n) ring multiplications.
Edit intent: clarity
Original:  As economic systems become increasingly interconnected, for example, a shock in a single financial network can provoke  cascading failures throughout the system.
Revised:  As economic systems become increasingly interconnected, a shock in a single financial network can provoke cascading failures throughout the system.
Edit intent: coherence
Original:  As economic systems become increasingly interconnected, for example, a shock in a single financial network can provoke  cascading failures throughout the system.
Revised:  As economic systems become increasingly interconnected, for example, a shock in a financial network can provoke cascading failures throughout the system.
Edit intent: clarity
Original:  We find that , within realistic parameters, our model identifies a significant portion of the actual failed banks from the FDIC failed bank database from 2008 to 2011.
Revised:  We find that our model efficiently identifies a significant portion of the actual failed banks from the FDIC failed bank database from 2008 to 2011.
Edit intent: clarity
Original: Enabling users to switch interactively the viewpoint from which they are watching a static scene is an interesting functionality in 3D transmission systems.
Revised: Enabling users to interactively navigate through different viewpoints of a static scene is an interesting functionality in 3D transmission systems.
Edit intent: clarity
Original: Enabling users to switch interactively the viewpoint from which they are watching a static scene is an interesting functionality in 3D transmission systems.
Revised: Enabling users to switch interactively the viewpoint from which they are watching a static scene is a new interesting functionality in 3D transmission systems.
Edit intent: clarity
Original: Enabling users to switch interactively the viewpoint from which they are watching a static scene is an interesting functionality in 3D transmission systems.
Revised: Enabling users to switch interactively the viewpoint from which they are watching a static scene is an interesting functionality in 3D streaming systems.
Edit intent: clarity
Original:  While it opens exciting perspectives  , it requires the development of specific representation and coding techniques .
Revised:  While it opens exciting perspectives , it requires the design of novel representations and coding techniques .
Edit intent: clarity
Original:  Interactivity thus brings new design constraints: i) the encoder is unaware of the exact decoding process, and ii) the decoder has to reconstruct information from incomplete subsets of data .
Revised:  Interactivity thus brings new design constraints: the encoder is unaware of the exact decoding process, and ii) the decoder has to reconstruct information from incomplete subsets of data .
Edit intent: fluency
Original:  Interactivity thus brings new design constraints: i) the encoder is unaware of the exact decoding process, and ii) the decoder has to reconstruct information from incomplete subsets of data .
Revised:  Interactivity thus brings new design constraints: i) the encoder is unaware of the exact decoding process, while the decoder has to reconstruct information from incomplete subsets of data .
Edit intent: coherence
Original:  We partition the domain of multiview navigation into segments, which are described with a reference image (color and depth data) and some auxiliary information.
Revised:  We partition the domain of multiview navigation into segments, each of which is described by a reference image (color and depth data) and some auxiliary information.
Edit intent: clarity
Original:  We partition the domain of multiview navigation into segments, which are described with a reference image (color and depth data) and some auxiliary information.
Revised:  We partition the domain of multiview navigation into segments, which are described with a reference image and some auxiliary information.
Edit intent: clarity
Original:  The auxiliary information enables the client to recreate any viewpoint in the navigation segment by view synthesis.
Revised:  The auxiliary information enables the client to recreate any viewpoint in the navigation segment via view synthesis.
Edit intent: fluency
Original:  The decoder is then able to navigate independently in the segment without further data request to the server;
Revised:  The decoder is then able to navigate freely in the segment without further data request to the server;
Edit intent: clarity
Original:  Our new system represents a promising alternative solution for 3D data representation in novel interactive multimedia services.
Revised:  Hence, our new framework represents a promising alternative solution for 3D data representation in novel interactive multimedia services.
Edit intent: clarity
Original:  Our new system represents a promising alternative solution for 3D data representation in novel interactive multimedia services.
Revised:  Our new system represents a promising solution for 3D data representation in novel interactive multimedia services.
Edit intent: clarity
Original:  In this Letter we investigate the explosion of complexity arising near the phase transitionfor random neural networks .
Revised:  In this Letter we investigate the explosion of complexity arising near that phase transition .
Edit intent: clarity
Original:  We show that the mean number of equilibria undergoes a sharp transition from one equilibrium before the phase transition, to a very large number scaling exponentially with the dimension on the system.
Revised:  We show that the mean number of equilibria undergoes a sharp transition from one equilibrium to a very large number scaling exponentially with the dimension on the system.
Edit intent: clarity
Original:  We compute the exponential rate of divergence, called topological complexity , near criticality .
Revised:  Near criticality, we compute the exponential rate of divergence, called topological complexity , near criticality .
Edit intent: clarity
Original:  We compute the exponential rate of divergence, called topological complexity , near criticality .
Revised:  We compute the exponential rate of divergence, called topological complexity .
Edit intent: clarity
Original: To some extent  graph evolutionary mechanisms may be explained from the spectrum.
Revised: To some extent , graph evolutionary mechanisms may be explained from the spectrum.
Edit intent: fluency
Original:  On other hand, a high (algebraic) multiplicity of eigenvalue 1 \pm \pm  and others has been observed in the spectrum of many real networks.
Revised:  On other hand, a high (algebraic) multiplicity of the eigenvalues 1 \pm \pm and others has been observed in the spectrum of many real networks.
Edit intent: fluency
Original:  Here we investigate how the spectrum of the normalized graph Laplacian gets affected by motif duplication and attachment.
Revised:  We attempt to explain the production of distinct eigenvalues by motif doubling and attachment.
Edit intent: clarity
Original: The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters ( or "free riders") that profit from cooperators but do not invest any resources themselves .
Revised: The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters ( "free riders") that profit from cooperators but do not invest any resources themselves .
Edit intent: fluency
Original: The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters ( or "free riders") that profit from cooperators but do not invest any resources themselves .
Revised: The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters ( or "free riders") .
Edit intent: coherence
Original:  Evolutionary game theory has been able to show that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish free riders that benefit from a public good , but refuse to pay into a common pool.
Revised:  Evolutionary game theory has shown that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish free riders that benefit from a public good , but refuse to pay into a common pool.
Edit intent: clarity
Original:  Evolutionary game theory has been able to show that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish free riders that benefit from a public good , but refuse to pay into a common pool.
Revised:  Evolutionary game theory has been able to show that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish free riders that benefit from a public good yet refuse to pay into a common pool.
Edit intent: fluency
Original:  Evolutionary game theory has been able to show that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish free riders that benefit from a public good , but refuse to pay into a common pool.
Revised:  Evolutionary game theory has been able to show that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish free riders that benefit from a public good , but refuse to pay into the common pool.
Edit intent: fluency
Original:  Here we show that punishment reduces this barrier, and enables a transition from defecting towards cooperative behavior at synergy levels that could not support cooperation in the absence of punishment.
Revised:  We show that punishment reduces this barrier, and enables a transition from defecting towards cooperative behavior at synergy levels that could not support cooperation in the absence of punishment.
Edit intent: coherence
Original: The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters ("free riders") . Evolutionary game theory has shown that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish free riders that benefit from a public good yet refuse to pay into the common pool.
Revised: The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters ("free riders") . Evolutionary game theory has shown that under certain conditions, cooperation nonetheless evolves stably, for example if players have the opportunity to punish cheaters that benefit from a public good yet refuse to pay into the common pool.
Edit intent: fluency
Original:  We show here that punishment reduces the critical value at which cooperation occurs, but also creates the possibility of super-critical phase transitions, where populations can "tunnel" into the cooperating phase below the critical value.
Revised:  We show here that punishment reduces the critical value at which cooperation occurs, but also creates the possibility of meta-stable phase transitions, where populations can "tunnel" into the cooperating phase below the critical value.
Edit intent: clarity
Original:  At the same time, defecting populations can tunnel into the cooperating phase even above the critical value, as long as the group " nucleating" that transition is large enough .
Revised:  At the same time, cooperating populations are unstable even above the critical value, as long as the group " nucleating" that transition is large enough .
Edit intent: clarity
Original:  At the same time, defecting populations can tunnel into the cooperating phase even above the critical value, as long as the group " nucleating" that transition is large enough .
Revised:  At the same time, defecting populations can tunnel into the cooperating phase even above the critical value, because a group of defectors that are large enough can " nucleating" that transition is large enough .
Edit intent: clarity
Original:  At the same time, defecting populations can tunnel into the cooperating phase even above the critical value, as long as the group " nucleating" that transition is large enough .
Revised:  At the same time, defecting populations can tunnel into the cooperating phase even above the critical value, as long as the group " nucleate" such a transition .
Edit intent: clarity
Original:  If one assumes that the reaction is diffusion-limited and all chemical species have the same diffusion coefficient, one can employ a linear transformation to rewrite the governing equations in terms of invariants , which are unaffected by the reaction.
Revised:  If one assumes that the reaction is diffusion-limited and all chemical species have the same diffusion coefficient, one can employ a linear transformation to rewrite the governing equations in terms of invariants , which are unaffected by the reaction.
Edit intent: fluency
Original:  \% Several representative numerical examples are presented to illustrate the robustness, convergence, and the numerical performance of the proposed computational framework.
Revised:  Several representative numerical examples are presented to illustrate the robustness, convergence, and the numerical performance of the proposed computational framework.
Edit intent: coherence
Original:  Al- though this task is often time-consuming and subjective, it is still predominantly performed manually.
Revised:  Although this task is often time-consuming and subjective, it is still predominantly performed manually.
Edit intent: coherence
Original:  In addition, it provides controls over the processing parameters and is implemented in an in- tuitive and modern interface.
Revised:  In addition, it provides controls over the processing parameters and is implemented in an intuitive and modern interface.
Edit intent: fluency
Original:  In addition, it provides controls over the processing parameters and is implemented in an intuitive and modern interface.
Revised:  In addition, it provides control over the processing parameters and is implemented in an intuitive and modern interface.
Edit intent: fluency
Original:  In addition, it provides controls over the processing parameters and is implemented in an intuitive and modern interface.
Revised:  In addition, it provides controls over the processing parameters and is implemented in an in- tuitive and modern interface.
Edit intent: fluency
Original:  OpenCFU is a cross-platform and open-source software freely available at URL .
Revised:  OpenCFU is a cross-platform and open-source software freely available at URL 
Edit intent: fluency
Original: Embryonic stem cells (ESCs) and induced pluripotent stem cells (iPSCs) derived from somatic cells (SCs) provide promising resources for regenerative medicine and medical research, leading to a daily accumulation of these cell lines.
Revised: Embryonic stem cells (ESCs) and induced pluripotent stem cells (iPSCs) derived from somatic cells (SCs) provide promising resources for regenerative medicine and medical research, leading to a daily identification of new cell lines.
Edit intent: clarity
Original:  This requires an efficient system to discriminate them, yet we still lack such a system .
Revised:  However, an efficient system to discriminate them, yet we still lack such a system .
Edit intent: coherence
Original:  This requires an efficient system to discriminate them, yet we still lack such a system .
Revised:  This requires an efficient system to discriminate the cell lines is lacking .
Edit intent: clarity
Original:  Here, we develop a quantitative system to discriminate  three cell types, iPSCs, ESCs and SCs.
Revised:  Here, we developed a quantitative system to discriminate three cell types, iPSCs, ESCs and SCs.
Edit intent: fluency
Original:  Here, we develop a quantitative system to discriminate  three cell types, iPSCs, ESCs and SCs.
Revised:  Here, we develop a quantitative system to discriminate the three cell types, iPSCs, ESCs and SCs.
Edit intent: fluency
Original:  This system includes DNA-methylation biomarkers and mathematical models,  artificial neural network and support vector machines.
Revised:  The system contains DNA-methylation biomarkers and mathematical models, artificial neural network and support vector machines.
Edit intent: fluency
Original:  This system includes DNA-methylation biomarkers and mathematical models,  artificial neural network and support vector machines.
Revised:  This system includes DNA-methylation biomarkers and mathematical models, including an artificial neural network and support vector machines.
Edit intent: coherence
Original:  All biomarkers were unbiasedly selected by calculating  eigengene score derived from principal component analysis of genome-wide DNA methylations measured by a large set of microarrays .
Revised:  All biomarkers were unbiasedly selected by calculating an eigengene score derived from principal component analysis of genome-wide DNA methylations measured by a large set of microarrays .
Edit intent: fluency
Original:  All biomarkers were unbiasedly selected by calculating  eigengene score derived from principal component analysis of genome-wide DNA methylations measured by a large set of microarrays .
Revised:  All biomarkers were unbiasedly selected by calculating eigengene score derived from analysis of genome-wide DNA methylations measured by a large set of microarrays .
Edit intent: clarity
Original:  All biomarkers were unbiasedly selected by calculating  eigengene score derived from principal component analysis of genome-wide DNA methylations measured by a large set of microarrays .
Revised:  All biomarkers were unbiasedly selected by calculating eigengene score derived from principal component analysis of genome-wide DNA methylations .
Edit intent: clarity
Original:  With 30 biomarkers, or even with as less as 3 top biomarkers, this system can ~100\% accurately discriminate SCs from ESCs and iPSCs  , and with ~ 100 biomarkers, the system can stably distinguish ESCs vs iPSCs with an accuracy of 95\%.
Revised:  With 30 biomarkers, or even with as few as 3 top biomarkers, this system can ~100\% accurately discriminate SCs from ESCs and iPSCs , and with ~ 100 biomarkers, the system can stably distinguish ESCs vs iPSCs with an accuracy of 95\%.
Edit intent: fluency
Original:  With 30 biomarkers, or even with as less as 3 top biomarkers, this system can ~100\% accurately discriminate SCs from ESCs and iPSCs  , and with ~ 100 biomarkers, the system can stably distinguish ESCs vs iPSCs with an accuracy of 95\%.
Revised:  With 30 biomarkers, or even with as less as 3 top biomarkers, this system can discriminate SCs from ESCs and iPSCs , and with ~ 100 biomarkers, the system can stably distinguish ESCs vs iPSCs with an accuracy of 95\%.
Edit intent: clarity
Original:  With 30 biomarkers, or even with as less as 3 top biomarkers, this system can ~100\% accurately discriminate SCs from ESCs and iPSCs  , and with ~ 100 biomarkers, the system can stably distinguish ESCs vs iPSCs with an accuracy of 95\%.
Revised:  With 30 biomarkers, or even with as less as 3 top biomarkers, this system can ~100\% accurately discriminate SCs from ESCs and iPSCs , and with approximately 100 biomarkers, the system can stably distinguish ESCs vs iPSCs with an accuracy of 95\%.
Edit intent: clarity
Original:  With 30 biomarkers, or even with as less as 3 top biomarkers, this system can ~100\% accurately discriminate SCs from ESCs and iPSCs  , and with ~ 100 biomarkers, the system can stably distinguish ESCs vs iPSCs with an accuracy of 95\%.
Revised:  With 30 biomarkers, or even with as less as 3 top biomarkers, this system can ~100\% accurately discriminate SCs from ESCs and iPSCs , and with ~ 100 biomarkers, the system can distinguish ESCs from iPSCs with an accuracy of 95\%.
Edit intent: clarity
Original:  It performs precisely with both raw data (without normalization ) and converted data in which the continuous methylation levels are converted into a discrete range of methylation percentage .
Revised:  It performs precisely with raw data without normalization as well as with converted data in which the continuous methylation levels are converted into a discrete range of methylation percentage .
Edit intent: clarity
Original:  It performs precisely with both raw data (without normalization ) and converted data in which the continuous methylation levels are converted into a discrete range of methylation percentage .
Revised:  It performs precisely with both raw data (without normalization ) and converted data in which the continuous methylation levels are accounted .
Edit intent: clarity
Original:   Thus, this  system works as a  general and accurate framework for discriminating these three cell types, iPSCs, ESC , and SCs . This strategy developed here might also be applied to other biomarker system development .
Revised:  Thus, this system works as a general and accurate framework for discriminating the three cell types, iPSCs, ESC , and SCs . This strategy developed here might also be applied to other biomarker system development .
Edit intent: fluency