wanyu/IteraTeR_v2 huggingface dataset:
Original: Many intracellular processes continue to oscillate during the cell cycle , although it is not understood how they are affected by discontinuities caused in the cellular environment .
Revised: Many intracellular processes continue to oscillate during the cell cycle . Although it is not understood how they are affected by discontinuities caused in the cellular environment .
Edit intent: fluency
Original: Many intracellular processes continue to oscillate during the cell cycle , although it is not understood how they are affected by discontinuities caused in the cellular environment .
Revised: Many intracellular processes continue to oscillate during the cell cycle , although it is not well-understood how they are affected by discontinuities caused in the cellular environment .
Edit intent: clarity
Original: Many intracellular processes continue to oscillate during the cell cycle , although it is not understood how they are affected by discontinuities caused in the cellular environment .
Revised: Many intracellular processes continue to oscillate during the cell cycle , although it is not understood how they are affected by discontinuities in the cellular environment .
Edit intent: clarity
Original:  Here  I will show that under these conditions , a cell will in fact have to correct for an additional quantity added to the phase of oscillation upon each repetition of the cell cycle.
Revised:  Here , I will show that under these conditions , a cell will in fact have to correct for an additional quantity added to the phase of oscillation upon each repetition of the cell cycle.
Edit intent: fluency
Original:  Here  I will show that under these conditions , a cell will in fact have to correct for an additional quantity added to the phase of oscillation upon each repetition of the cell cycle.
Revised:  Here I will show that under these conditions a cell will in fact have to correct for an additional quantity added to the phase of oscillation upon each repetition of the cell cycle.
Edit intent: fluency
Original:  Here  I will show that under these conditions , a cell will in fact have to correct for an additional quantity added to the phase of oscillation upon each repetition of the cell cycle.
Revised:  Here I will show that under these conditions , a cell will in fact have to correct for an additional quantity added to the phase of oscillation upon every repetition of the cell cycle.
Edit intent: fluency
Original:  The resulting phase shift is an analogue of the geometric phase, an abstract entity first discovered in quantum mechanics.
Revised:  The resulting phase shift is an analogue of the geometric phase, a curious entity first discovered in quantum mechanics.
Edit intent: clarity
Original:  In this letter I will discuss the theory of the geometric phase shift , and demonstrate its relevance to biological oscillations.
Revised:  In this Letter, I will discuss the theory of the geometric phase shift , and demonstrate its relevance to biological oscillations.
Edit intent: fluency
Original:  In this letter I will discuss the theory of the geometric phase shift , and demonstrate its relevance to biological oscillations.
Revised:  In this letter I will discuss the theory of the geometric phase shift and demonstrate its relevance to biological oscillations.
Edit intent: fluency
Original:  We conclude that genetic regulation of plasticity appears to be important for climate adaptationand that genetic variation in the epigenetic machinery, leading to altered genome-wide epigenetic modifications, is one of the underlying molecular mechanisms .
Revised:  We conclude that genetic regulation of epigenetic modifications in natural adaptation, potentially through differential allelic plasticity, and illustrate the importance of re-analyses of existing data using new analytical methods to obtain a more complete understanding of the mechanisms contributing to adaptation .
Edit intent: clarity
Original:  We discuss simple applications in risk management and portfolio construction 
Revised:  We discuss simple applications in risk management and portfolio construction .
Edit intent: fluency
Original: We prove the following Helly-type theorem.
Revised: We show that very weak topological assumptions are enough to ensure the existence of a Helly-type theorem.
Edit intent: clarity
Original:  For any non-negative integers b and d there exists an integer h(b,d) such that the following holds.
Revised:  More precisely, we show that for any non-negative integers b and d there exists an integer h(b,d) such that the following holds.
Edit intent: coherence
Original:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq  0 and \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Revised:  If F is a finite family of subsets of R ^d such that \tilde\} }\le \subsetneq 0 and \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Edit intent: clarity
Original:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq  0 and \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Revised:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le b for any G\subsetneq 0 and \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Edit intent: clarity
Original:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq  0 and \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Revised:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq 0 \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Edit intent: coherence
Original:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq  0 and \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Revised:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq 0 and \le i\le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Edit intent: fluency
Original:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq  0 and \le \le \lceil d/2 \rceil - 1, then F has Helly number at most h(b,d).
Revised:  If F is a finite family of subsets of R ^d such that ith reduced Betti number of the interesection of G is bounded by b for every proper subfamily G of F and every i between \tilde\} }\le \subsetneq 0 and \le \le \lceil d/2 \rceil -1 then \mathcal{F has Helly number at most h(b,d).
Edit intent: fluency
Original:  The main strength of this result is that very weak assumptions on F are sufficient to guarantee a bounded\tilde_2-Betti numbers (with singular homology).
Revised:  Here\tilde_2-Betti numbers (with singular homology).
Edit intent: clarity
Original:  We obtain this result by combining homological non-embeddability results with a Ramsey-based approach to build, given an arbitrary simplicial complex K,  well-behaved chain map simplicial chains of Kto singular chains to R^d\to  .
Revised:  Our proofs combine homological non-embeddability results with a Ramsey-based approach to build, given an arbitrary simplicial complex K, well-behaved chain map simplicial chains of Kto singular chains to R^d\to .
Edit intent: clarity
Original:  We obtain this result by combining homological non-embeddability results with a Ramsey-based approach to build, given an arbitrary simplicial complex K,  well-behaved chain map simplicial chains of Kto singular chains to R^d\to  .
Revised:  We obtain this result by combining homological non-embeddability results with a Ramsey-based approach to build, given an arbitrary simplicial complex K, some well-behaved chain map simplicial chains of Kto singular chains to R^d\to .
Edit intent: clarity
Original:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Revised:  If \mathcal F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Edit intent: fluency
Original:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Revised:  If \mathcal{F is a finite family of subsets of \mathbb R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Edit intent: fluency
Original:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Revised:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\bigcap\mathcal G\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Edit intent: fluency
Original:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Revised:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Edit intent: fluency
Original:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Revised:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Edit intent: fluency
Original:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal{F has Helly number at most h(b,d).
Revised:  If \mathcal{F is a finite family of subsets of \mathbb{R ^d such that \tilde\beta_i \{\bigcap\mathcal{G\} } \left(\right) \le b for any \mathcal{G \subsetneq \mathcal{F and every 0 \le i \le \lceil d/2 \rceil-1 then \mathcal F has Helly number at most h(b,d).
Edit intent: fluency
Original:  Here \tilde\beta_i denotes the reduced \mathbb{Z _2-Betti numbers (with singular homology).
Revised:  Here \tilde\beta_i denotes the reduced \mathbb Z _2-Betti numbers (with singular homology).
Edit intent: fluency
Original:  In this paper, we consider a cellular base station simultaneously operates broadcast and unicast services , and propose a novel network framework being able to serve a file via either unicast or broadcast service by user demand prediction based on examining its content specific characteristics such as: file size, delay tolerance, price sensitivity.
Revised:  In this paper, we propose a novel network framework provisioning broadcast and unicast services , and propose a novel network framework being able to serve a file via either unicast or broadcast service by user demand prediction based on examining its content specific characteristics such as: file size, delay tolerance, price sensitivity.
Edit intent: clarity
Original:  In this paper, we consider a cellular base station simultaneously operates broadcast and unicast services , and propose a novel network framework being able to serve a file via either unicast or broadcast service by user demand prediction based on examining its content specific characteristics such as: file size, delay tolerance, price sensitivity.
Revised:  In this paper, we consider a cellular base station simultaneously operates broadcast and unicast services simultaneously. For each serving file to users, a cellular base station determines either to broadcast or unicast the file based on user demand prediction based on examining its content specific characteristics such as: file size, delay tolerance, price sensitivity.
Edit intent: clarity
Original:  In this paper, we consider a cellular base station simultaneously operates broadcast and unicast services , and propose a novel network framework being able to serve a file via either unicast or broadcast service by user demand prediction based on examining its content specific characteristics such as: file size, delay tolerance, price sensitivity.
Revised:  In this paper, we consider a cellular base station simultaneously operates broadcast and unicast services , and propose a novel network framework being able to serve a file via either unicast or broadcast service by user demand prediction examining the file's content specific characteristics such as: file size, delay tolerance, price sensitivity.
Edit intent: coherence
Original:  In a network operator's revenue maximization perspective while not inflicting any user payoff degradation, we jointly optimize resource allocation, file scheduling, and pricing, providing closed form solutions .
Revised:  In a network operator's revenue maximization perspective while not inflicting any user payoff degradation, we jointly optimize resource allocation, pricing, and file scheduling .
Edit intent: clarity
Original:  In accordance with the state of the art LTE specifications, the proposed network demonstrates up to 20.7\% increase for a single cell and more than a 6-fold increase for 7 cell coordinated LTE broadcast networks in revenue , compared to the conventional unicast cellular networks.
Revised:  In accordance with the state of the art LTE specifications, the proposed network demonstrates up to 20.7\% increase for a single cell and more than a 6-fold increase for 7 cell coordinated LTE broadcast network , compared to the conventional unicast cellular networks.
Edit intent: clarity
Original:  Gait velocity is often assessed clinically, but clinical assessments occur infrequently and thus do not allow optimal detection of key health changes when they occur.
Revised:  Gait velocity is often assessed clinically, but the assessments occur infrequently and thus do not allow optimal detection of key health changes when they occur.
Edit intent: clarity
Original:  Gait velocity is often assessed clinically, but clinical assessments occur infrequently and thus do not allow optimal detection of key health changes when they occur.
Revised:  Gait velocity is often assessed clinically, but clinical assessments occur infrequently and do not allow optimal detection of key health changes when they occur.
Edit intent: coherence
Original:  By using a support vector regression approach to model the relationship between transition times and observed gait velocities , we show that we can predict unobserved velocities accurately.
Revised:  By using a support vector regression approach to model the relationship between transition time and gait velocity , we show that we can predict unobserved velocities accurately.
Edit intent: clarity
Original:  The proposed method is simple and cost effective , and has advantages over competing approaches such as not requiring patients to wear a device or needing dedicated sensors to measure gait .
Revised:  The proposed method is simple and cost effective and has advantages over competing approaches such as not requiring patients to wear a device or needing dedicated sensors to measure gait .
Edit intent: fluency
Original: Many problems in statistics and machine learning (e.g., probabilistic graphical model, feature extraction, clustering and classification, etc) can be (re) formulated as linearly constrained separable convex programs.
Revised: Many problems in machine learning and other fields can be (re) formulated as linearly constrained separable convex programs.
Edit intent: clarity
Original: Many problems in statistics and machine learning (e.g., probabilistic graphical model, feature extraction, clustering and classification, etc) can be (re) formulated as linearly constrained separable convex programs.
Revised: Many problems in statistics and machine learning (e.g., probabilistic graphical model, feature extraction, clustering and classification, etc) can be (re) for-mulated as linearly constrained separable convex programs.
Edit intent: clarity
Original:  The traditional alternating direction method (ADM) or its linearized version (LADM ) is for the two-variable case and cannot be naively generalized to solve the multi-variable case.
Revised:  The traditional alternating direction method (ADM) and its linearized version (LADM ) is for the two-variable case and cannot be naively generalized to solve the multi-variable case.
Edit intent: fluency
Original:  Numerical experiments testify to the speed and accuracy advantages of LADMPSAP  .
Revised:  Numerical experiments testify to the advantages of LADMPSAP .
Edit intent: clarity
Original:  This study introduces the hypothesis that the synchronization of the amino acids vibrations by the cooperative movements of the peptide planes throughout the backbone may play a key role in folding as a new mechanism.
Revised:  This study introduces the hypothesis that the synchronization of the peptide plane oscillatory movements throughout the backbone may play a key role in folding as a new mechanism.
Edit intent: clarity
Original:  This study introduces the hypothesis that the synchronization of the peptide plane oscillatory movements throughout the backbone may play a key role in folding as a new mechanism.
Revised:  This study introduces the hypothesis that the synchronization of the peptide plane oscillatory movements throughout the backbone must also play a key role in folding as a new mechanism.
Edit intent: clarity
Original:  This study introduces the hypothesis that the synchronization of the peptide plane oscillatory movements throughout the backbone may play a key role in folding as a new mechanism.
Revised:  This study introduces the hypothesis that the synchronization of the peptide plane oscillatory movements throughout the backbone may play a key role in the folding mechanism.
Edit intent: clarity
Original:  The amino acid coupling would explain the mean-field character of the force that propels an amino acid sequence into a structure through self-organization  .
Revised:  The amino acid coupling may explain the mean-field character of the force that propels an amino acid sequence into a structure through self-organization .
Edit intent: clarity
Original: Extrinsic environmental factors influence the distribution and population dynamics of many species of plants and animals , including insects that are of concern for human health and agriculture.
Revised: Extrinsic environmental factors influence the distribution and population dynamics of many organisms , including insects that are of concern for human health and agriculture.
Edit intent: clarity
Original:  A key measure of the intensity of disease transmission is the reproductive number R_0. However, understanding the mechanisms linking R_0 and temperature, a key environmental factor shaping disease risk, can be challenging because the data available for parameterization are often poor.
Revised:  A key measure of the intensity of disease transmission is the reproductive number R_0. However, understanding the mechanisms linking R_0 and temperature, an environmental factor driving disease risk, can be challenging because the data available for parameterization are often poor.
Edit intent: clarity
Original:  To address this we show how a Bayesian approach can help identify critical uncertainties in components of R_0 and how this uncertainty is propagated into the estimate of R_0. We identify the parameters most responsible for the uncertainty in estimates of R_0, and, most notably, found that different parameters dominate  at different temperature regimes \sim25\sim15\sim33 .
Revised:  To address this we show how a Bayesian approach can help identify critical uncertainties in components of R_0 and how this uncertainty is propagated into the estimate of R_0. Most notably, we find that different parameters dominate at different temperature regimes \sim25\sim15\sim33 .
Edit intent: coherence
Original:  To address this we show how a Bayesian approach can help identify critical uncertainties in components of R_0 and how this uncertainty is propagated into the estimate of R_0. We identify the parameters most responsible for the uncertainty in estimates of R_0, and, most notably, found that different parameters dominate  at different temperature regimes \sim25\sim15\sim33 .
Revised:  To address this we show how a Bayesian approach can help identify critical uncertainties in components of R_0 and how this uncertainty is propagated into the estimate of R_0. We identify the parameters most responsible for the uncertainty in estimates of R_0, and, most notably, found that different parameters dominate the uncertainty at different temperature regimes \sim25\sim15\sim33 .
Edit intent: fluency
Original: Efficient and informative comparison of trees is a common essential interest of both computational biology and pattern classification.
Edit intent: coherence
Original:  In this paper , we introduce a novel dissimilarity measure on non-degenerate hierarchies (rooted binary trees), called the NNI navigation distance, that counts the steps along the trajectory of a discrete dynamical system defined over the Nearest Neighbor Interchange (NNI) graph of binary hierarchies .
Revised:  In this paper , we introduce a novel dissimilarity measure on non-degenerate hierarchies (rooted binary trees), called the NNI navigation distance, that counts the steps along a "combing" of the Nearest Neighbor Interchange (NNI) graph of binary hierarchies .
Edit intent: clarity
Original:  A relaxation on the closed form of the NNI navigation distance results a simpler dissimilarity measure on all trees , named the crossing dissimilarity , counts pairwise cluster incompatibilities of trees.
Revised:  A relaxation of this formula to a simple count yields another measure on all trees , named the crossing dissimilarity , counts pairwise cluster incompatibilities of trees.
Edit intent: clarity
Original:  A relaxation on the closed form of the NNI navigation distance results a simpler dissimilarity measure on all trees , named the crossing dissimilarity , counts pairwise cluster incompatibilities of trees.
Revised:  A relaxation on the closed form of the NNI navigation distance results a simpler dissimilarity measure on all trees --- the crossing dissimilarity , counts pairwise cluster incompatibilities of trees.
Edit intent: clarity