wanyu/IteraTeR_v2 huggingface dataset:
Original:  Despite their importance, an efficient algorithm to obtain physical properties of all MCCs during the removals of links is not available .
Revised:  Despite their importance, an efficient algorithm to obtain physical properties of all MCCs during the removal of links has thus far been absent .
Edit intent: clarity
Original:  Here, using a well-known fully-dynamic graph algorithm, we propose an efficient algorithm to accomplish this  .
Revised:  Here, using a well-known fully dynamic graph algorithm, we propose an efficient algorithm to accomplish this .
Edit intent: fluency
Original:  Here, using a well-known fully-dynamic graph algorithm, we propose an efficient algorithm to accomplish this  .
Revised:  Here, using a well-known fully-dynamic graph algorithm, we propose an efficient algorithm to accomplish this task .
Edit intent: clarity
Original:  We show that the time complexity of this algorithm is approximately \mathcal{O  }} , which is more efficient than the brute-force algorithm with complexity O (N^{2}) .
Revised:  We show that the time complexity of this algorithm is approximately \mathcal{O }} , which is more efficient than O (N^{2}) .
Edit intent: coherence
Original: Agent-based models of the binary Naming Game are generalized here to represent a family of models parameterized by the introduction of two continuous parameters.
Revised: Agent-based models of the binary naming game are generalized here to represent a family of models parameterized by the introduction of two continuous parameters.
Edit intent: fluency
Original:  The major finding presented here is that the generalized Naming Game preserves the existence of critical thresholds for the size of committed minorities.
Revised:  The major finding presented here is that the generalized naming game preserves the existence of critical thresholds for the size of committed minorities.
Edit intent: fluency
Original:  Above such threshold, a committed minority causes a fast (in time logarithmic in size of the network) convergence to consensus  even when there are other parameters influencing the system.
Revised:  Above such threshold, a committed minority causes a fast (in time logarithmic in size of the network) convergence to consensus , even when there are other parameters influencing the system.
Edit intent: fluency
Original:  Moreover, the two introduced parameters cause bifurcations in the stabilities of the system's fixed points and may lead to changes in the systems consensus.
Revised:  Moreover, the two introduced parameters cause bifurcations in the stabilities of the system's fixed points and may lead to changes in the system's consensus.
Edit intent: fluency
Original: How does individuals' cognition change a system which is a collective behavior of individuals?
Revised: How does an individual's cognition change a system which is a collective behavior of individuals?
Edit intent: fluency
Original:  Or  how does a system affect individuals' cognition?
Revised:  Or , how does a system affect individuals' cognition?
Edit intent: fluency
Original:  Or  how does a system affect individuals' cognition?
Revised:  Or how does a system affect an individual's cognition?
Edit intent: fluency
Original:  To examine the interplay between a system and individuals, we study a cognition-based strategic link formation.
Revised:  To examine the interplay between a system and individuals, we study a cognition-based network formation.
Edit intent: clarity
Original:  Assuming that a communication link is costly  and more accurate perception yields higher network utility, one decides whether to form a link in order to get better knowledge.
Revised:  Assuming that a communication link is costly , and more accurate perception yields higher network utility, one decides whether to form a link in order to get better knowledge.
Edit intent: fluency
Original:  A newly added link is a change in a network , which affects individuals' perception accuracy back .
Revised:  A newly added link is a change in a network with newly added links affect individuals' perception accuracy back .
Edit intent: clarity
Original:  Moreover , we discuss a local linking process which causes clusters and the influence of a positive cost of linking in the coevolution between a network and perception .
Revised:  Moreover , we discuss local interactions and a link concentration in a frequently changing network .
Edit intent: clarity
Original:  Given a 1D1H NMR spectrum of a complex biofluid(eg , serum or CSF) , Bayesil can automatically determine this metabolic profile .
Revised:  Given a 1D1H NMR spectrum of a complex biofluid(eg , serum or CSF) metabolic profile from a 1D1H NMR spectrum .
Edit intent: clarity
Original:  Ermentrout et al. and Ota et al. showed that PRCs can be identified through measurement of white-noise spike-triggered averages (wSTAs) .
Revised:  Ermentrout et al. and Ota et al. showed that PRCs can be identified through measurement of white-noise spike-triggered averages .
Edit intent: clarity
Original: This short communication aims at creating a bridge between 3D printing and advanced mathematical methods.
Revised:  3D printing and advanced mathematical methods.
Edit intent: clarity
Original:  In this paper we propose a level-set method to create object-dependent support structures, specifically conceived to reduce both the amount of additional material and the printing time.
Revised:  In this paper we propose a level set method to create object-dependent support structures, specifically conceived to reduce both the amount of additional material and the printing time.
Edit intent: fluency
Original:  Further, we propose both a decentralized algorithm and an iterative procedure to compute a pure equilibrium in the general case of  multiple communities network.
Revised:  Further, we propose both a decentralized algorithm and an iterative procedure to compute a pure equilibrium in the general case of a multiple communities network.
Edit intent: fluency
Original:  Two self-reinforcing processes are vital : (1) more frequently occurring persons are more likely to occur again;
Revised:  Two self-reinforcing processes : (1) more frequently occurring persons are more likely to occur again;
Edit intent: clarity
Original: We study a class of games which model the competition among agents to access some service provided by distributed service units and  exhibit congestion and frustration phenomena when service units have limited service capacity.
Revised: We study a class of games which model the competition among agents to access some service provided by distributed service units and which exhibit congestion and frustration phenomena when service units have limited service capacity.
Edit intent: fluency
Original: We study a class of games which model the competition among agents to access some service provided by distributed service units and  exhibit congestion and frustration phenomena when service units have limited service capacity.
Revised: We study a class of games which model the competition among agents to access some service provided by distributed service units and exhibit congestion and frustration phenomena when service units have limited capacity.
Edit intent: fluency
Original:  Interestingly, the latter can be actually reached by selecting the initial conditions of the best-response dynamics close to the saturation limit of the service unit capacities.
Revised:  Interestingly, the latter actually can be reached by selecting the initial conditions of the best-response dynamics close to the saturation limit of the service unit capacities.
Edit intent: fluency
Original:  We also study a more realistic stochastic variant of the game by means of a simple and effective approximation of the (quenched) average over the random parameters, showing that the properties of the equilibrium space are qualitatively similar to the deterministic case .
Revised:  We also study a more realistic stochastic variant of the game by means of a simple and effective approximation of the average over the random parameters, showing that the properties of the equilibrium space are qualitatively similar to the deterministic case .
Edit intent: clarity
Original:  We also study a more realistic stochastic variant of the game by means of a simple and effective approximation of the (quenched) average over the random parameters, showing that the properties of the equilibrium space are qualitatively similar to the deterministic case .
Revised:  We also study a more realistic stochastic variant of the game by means of a simple and effective approximation of the (quenched) average over the random parameters, showing that the properties of the equilibrium space are qualitatively similar to the deterministic ones .
Edit intent: clarity
Original: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with  rtfMRI-nf procedure allows  independent evaluation of rtfMRI-nf  effects.
Revised:  Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with rtfMRI-nf procedure allows independent evaluation of rtfMRI-nf effects.
Edit intent: coherence
Original: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with  rtfMRI-nf procedure allows  independent evaluation of rtfMRI-nf  effects.
Revised: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is an emerging approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with rtfMRI-nf procedure allows independent evaluation of rtfMRI-nf effects.
Edit intent: clarity
Original: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with  rtfMRI-nf procedure allows  independent evaluation of rtfMRI-nf  effects.
Revised: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with an rtfMRI-nf procedure allows independent evaluation of rtfMRI-nf effects.
Edit intent: fluency
Original: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with  rtfMRI-nf procedure allows  independent evaluation of rtfMRI-nf  effects.
Revised: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with rtfMRI-nf procedure allows an independent evaluation of rtfMRI-nf effects.
Edit intent: fluency
Original: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with  rtfMRI-nf procedure allows  independent evaluation of rtfMRI-nf  effects.
Revised: Background: Real-time fMRI neurofeedback (rtfMRI-nf) is a promising approach for studies and treatment of major depressive disorder (MDD). EEG performed simultaneously with rtfMRI-nf procedure allows independent evaluation of rtfMRI-nf brain modulation effects.
Edit intent: clarity
Original:  Methods: We performed the first study combining rtfMRI-nf with simultaneous (passive) EEG recordings . MDD patients in the experimental group (n=13) learned to upregulate BOLD activity of the left amygdala using rtfMRI-nf during a positive emotion induction task.
Revised:  We report the first study combining rtfMRI-nf with simultaneous (passive) EEG recordings . MDD patients in the experimental group (n=13) learned to upregulate BOLD activity of the left amygdala using rtfMRI-nf during a positive emotion induction task.
Edit intent: clarity
Original:  Correlations between frontal EEG asymmetry in the upper-alpha band and BOLD activity across the brain were examined.
Revised:  Correlations between frontal EEG asymmetry in the upper alpha band and BOLD activity across the brain were examined.
Edit intent: fluency
Original:  Results: Participants in the experimental group showed positive average changes in frontal EEG asymmetry during the rtfMRI-nf task , which significantly correlated with depression severity ratings .
Revised:  Average individual changes in frontal EEG asymmetry during the rtfMRI-nf task , which significantly correlated with depression severity ratings .
Edit intent: clarity
Original:  Conclusions: Our findings demonstrate an important connection between amygdala BOLD activity and frontal EEG asymmetry during emotion regulation.
Revised:  Conclusions: Our findings demonstrate an important link between amygdala BOLD activity and frontal EEG asymmetry during emotion regulation.
Edit intent: fluency
Original:  The EEG asymmetry results indicate that the rtfMRI-nf training targeting the amygdala is beneficial to MDD patients .
Revised:  Our EEG asymmetry results indicate that the rtfMRI-nf training targeting the amygdala is beneficial to MDD patients .
Edit intent: fluency
Original:  The EEG asymmetry results indicate that the rtfMRI-nf training targeting the amygdala is beneficial to MDD patients .
Revised:  The EEG asymmetry results suggest that the rtfMRI-nf training targeting the amygdala is beneficial to MDD patients .
Edit intent: clarity
Original:  They further suggest that EEG neurofeedback based on frontal EEG asymmetry in the alpha band would be compatible with the amygdala-based rtfMRI-nf , and combination of the two could enhance emotion regulation training in MDD patients .
Revised:  They further suggest that EEG neurofeedback based on frontal EEG asymmetry in the alpha band would be compatible with the amygdala rtfMRI-nf , and combination of the two could enhance emotion regulation training in MDD patients .
Edit intent: fluency
Original:  They further suggest that EEG neurofeedback based on frontal EEG asymmetry in the alpha band would be compatible with the amygdala-based rtfMRI-nf , and combination of the two could enhance emotion regulation training in MDD patients .
Revised:  They further suggest that EEG neurofeedback based on frontal EEG asymmetry in the alpha band would be compatible with the amygdala-based rtfMRI-nf .
Edit intent: coherence
Original:  We report the first study  combining rtfMRI-nf with simultaneous (passive ) EEG recordingsto investigate electrophysiological correlates of the rtfMRI-nf procedure .
Revised:  We report the first study investigating electrophysiological correlates of the rtfMRI-nf procedure, by combining rtfMRI-nf with simultaneous (passive ) EEG recordingsto investigate electrophysiological correlates of the rtfMRI-nf procedure .
Edit intent: coherence
Original:  We report the first study  combining rtfMRI-nf with simultaneous (passive ) EEG recordingsto investigate electrophysiological correlates of the rtfMRI-nf procedure .
Revised:  We report the first study combining rtfMRI-nf with simultaneous and passive EEG recordings .
Edit intent: clarity
Original:  In this pilot study, MDD patients in the experimental group (n=13) learned to upregulate BOLD activity of the left amygdala using  rtfMRI-nf during a positive emotion induction task.
Revised:  In this pilot study, MDD patients in the experimental group (n=13) learned to upregulate BOLD activity of the left amygdala using an rtfMRI-nf during a positive emotion induction task.
Edit intent: fluency
Original:  In this pilot study, MDD patients in the experimental group (n=13) learned to upregulate BOLD activity of the left amygdala using  rtfMRI-nf during a positive emotion induction task.
Revised:  In this pilot study, MDD patients in the experimental group (n=13) learned to upregulate BOLD activity of the left amygdala using rtfMRI-nf during a happy emotion induction task.
Edit intent: clarity
Original:  MDD patients in the control group (n=11) were provided with  sham rtfMRI-nf.
Revised:  MDD patients in the control group (n=11) were provided with a sham rtfMRI-nf.
Edit intent: fluency
Original:  The average asymmetry changes also significantly correlated with the amygdala BOLD laterality.
Edit intent: coherence
Original:  Our findings demonstrate an important link between amygdala BOLD activity and frontal EEG asymmetry during emotion regulation .
Revised:  Our findings demonstrate an important link between amygdala BOLD activity and frontal EEG asymmetry .
Edit intent: clarity
Original: Alteration in fMRI brain connectivity has been found to be associated with a variety of clinical disorders . Yet, the systematic identification of connections associated with a disease state is a "needle in a haystack" problem.
Revised: Alterations in brain connectivity have been associated with a variety of clinical disorders . Yet, the systematic identification of connections associated with a disease state is a "needle in a haystack" problem.
Edit intent: clarity
Original:  For all tasks, our language-based models significantly outperform the majority- class baselines.
Revised:  For all tasks, our language-based models significantly outperform the majority-class baselines.
Edit intent: fluency
Original:  Here we use a general mathematical model to elucidate the nature of cell reprogramming which can fit both hypotheses.
Revised:  Here we used a general mathematical model to elucidate the nature of cell reprogramming which can fit both hypotheses.
Edit intent: fluency
Original:  We investigate this process from a novel perspective, the timing.
Revised:  We investigated this process from a novel perspective, the timing.
Edit intent: fluency
Original:  We calculate the time of reprogramming in a general way and find that noise would play a significant role if the stochastic hypothesis holds.
Revised:  We calculated the time of reprogramming in a general way and find that noise would play a significant role if the stochastic hypothesis holds.
Edit intent: fluency
Original:  The analytic ray curves are traversed through the adaptive unstructured mesh, which improves upon the efficiency of previous methods.
Revised:  We trace the analytic ray curves are traversed through the adaptive unstructured mesh, which improves upon the efficiency of previous methods.
Edit intent: clarity
Original:  The analytic ray curves are traversed through the adaptive unstructured mesh, which improves upon the efficiency of previous methods.
Revised:  The analytic ray curves using the adaptive unstructured mesh, which improves upon the efficiency of previous methods.
Edit intent: clarity
Original:  The analytic ray curves are traversed through the adaptive unstructured mesh, which improves upon the efficiency of previous methods.
Revised:  The analytic ray curves are traversed through the adaptive unstructured mesh, which considerably improves the efficiency over prior methods.
Edit intent: clarity
Original: This paper presents an algorithm for optimal multi-degree reduction of rational disk B\'ezier curve in the L^{2 norm.
Revised:  norm.
Edit intent: coherence
Original: The problem of efficiently computing and visualizing the structural resemblance between a pair of protein backbones in 3D  led Bereg et al. to pose the Chain Pair Simplification problem (CPS).
Revised: The problem of efficiently computing and visualizing the structural resemblance between a pair of protein backbones in 3D has led Bereg et al. to pose the Chain Pair Simplification problem (CPS).
Edit intent: fluency
Original:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Revised:  In this \frechet paper we study the complexity of CPS under the discrete \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Edit intent: fluency
Original:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Revised:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet\ distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Edit intent: fluency
Original:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Revised:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet\ distance. Since CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Edit intent: fluency
Original:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Revised:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained open . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Edit intent: clarity
Original:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Revised:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Edit intent: coherence
Original:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Revised:  In this \frechet paper we study the complexity of CPS under the discrete Fr\'echet \frechet distance (CPS-3F) . While\frechet CPS-3F was posed in 2008, its complexity has remained unknown . However, it was believed to be NP-complete since CPS based on \npc, since CPS under the Hausdorff distance (CPS-2H) was shown to be NP-complete \npc .
Edit intent: fluency