wanyu/IteraTeR_v2 huggingface dataset:
Original:  The outcome is that the order of magnitude of the Foerster timescale can be accounted for as the product , \tau_{\star\approx \g\,I\, } of the relevant (human) generation timescale, \tau_{\g\simeq }  20 years, with the number of bits of information in the genome, I\approx 10^{10 .
Revised:  The outcome is that the order of magnitude of the Foerster timescale can be accounted for as the product , \tau_{\star\approx \g\,I\, } of the relevant (human) generation timescale, \simeq } 20 years, with the number of bits of information in the genome, I\approx 10^{10 .
Edit intent: fluency
Original:  The outcome is that the order of magnitude of the Foerster timescale can be accounted for as the product , \tau_{\star\approx \g\,I\, } of the relevant (human) generation timescale, \tau_{\g\simeq }  20 years, with the number of bits of information in the genome, I\approx 10^{10 .
Revised:  The outcome is that the order of magnitude of the Foerster timescale can be accounted for as the product , \tau_{\star\approx \g\,I\, } of the relevant (human) generation timescale, \tau_{\g\simeq } about 20 years, with the number of bits of information in the genome, I\approx 10^{10 .
Edit intent: clarity
Original:  We show  there is a tile system with the optimal O(log n/log log n) tile types thatassembles an n x n square using O(log^2 n) parallel "stages", recursively forming n' x n' sub-squares from four n'/2 x n'/2 squares, but despite this nearly maximal parallelism, the system requires superlinear time.
Revised:  We show that there is a tile system with the optimal O(log n/log log n) tile types thatassembles an n x n square using O(log^2 n) parallel "stages", recursively forming n' x n' sub-squares from four n'/2 x n'/2 squares, but despite this nearly maximal parallelism, the system requires superlinear time.
Edit intent: fluency
Original:  We show  there is a tile system with the optimal O(log n/log log n) tile types thatassembles an n x n square using O(log^2 n) parallel "stages", recursively forming n' x n' sub-squares from four n'/2 x n'/2 squares, but despite this nearly maximal parallelism, the system requires superlinear time.
Revised:  We show there is a polynomial-time algorithm that, given an n x n square using O(log^2 n) parallel "stages", recursively forming n' x n' sub-squares from four n'/2 x n'/2 squares, but despite this nearly maximal parallelism, the system requires superlinear time.
Edit intent: clarity
Original:  We then investigate the relationship between the temperature of a seeded tile system and its size.
Revised:  We then investigate the relationship between the size of a tile system and its size.
Edit intent: clarity
Original:  The proposed hybrid model is positioned between existing complex full equilibrium models and pure risk-neutral models.
Revised:  The proposed structural model is positioned between existing complex full equilibrium models and pure risk-neutral models.
Edit intent: clarity
Original:  They are usually used to obtaingood enough solutions in practice, which are usually formally discussed in the termapproximation ratios .
Revised:  They are usually used to obtain solutions in practice, which are usually formally discussed in the termapproximation ratios .
Edit intent: clarity
Original:  They are usually used to obtaingood enough solutions in practice, which are usually formally discussed in the termapproximation ratios .
Revised:  They are usually used to obtaingood enough approximation ratios .
Edit intent: clarity
Original:  They are usually used to obtaingood enough solutions in practice, which are usually formally discussed in the termapproximation ratios .
Revised:  They are usually used to obtaingood enough solutions in practice, which are usually formally discussed in the term .
Edit intent: clarity
Original:  We propose to analyze thepartial ratio for the approximation performance of SEIP, which leads to a characterization of the behaviors of SEIP that lead to solutions with guaranteed approximation ratios.
Revised:  We propose to analyze the for the approximation performance of SEIP, which leads to a characterization of the behaviors of SEIP that lead to solutions with guaranteed approximation ratios.
Edit intent: clarity
Original:  Specifically, we analyze SEIP onset cover problem, which is NP-hard.
Revised:  Specifically, we analyze SEIP on problem, which is NP-hard.
Edit intent: clarity
Original: Evolutionary algorithms (EAs) are heuristic algorithms inspired from natural evolution.
Revised: Evolutionary algorithms (EAs) are heuristic algorithms inspired by natural evolution.
Edit intent: fluency
Original:  They are often used to obtain good enough solutions in practice.
Revised:  They are often used to obtain satisficing solutions in practice.
Edit intent: clarity
Original:  In this paper, we investigate a largely underexplored issue: the approximation performance of EAs , i.e., how much the obtained solution is close to the optimal solution.
Revised:  In this paper, we investigate a largely underexplored issue: the approximation performance of EAs in terms of how close the solution obtained is to an optimal solution.
Edit intent: clarity
Original:  We study an EA framework simple evolutionary algorithm with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EAs . We analyze the approximation performance of SEIP through partial ratio, which characterizes the behaviors of SEIP that lead to solutions with guaranteedapproximation ratios .
Revised:  We study an EA framework named simple EA with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EAs . We analyze the approximation performance of SEIP through partial ratio, which characterizes the behaviors of SEIP that lead to solutions with guaranteedapproximation ratios .
Edit intent: clarity
Original:  We study an EA framework simple evolutionary algorithm with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EAs . We analyze the approximation performance of SEIP through partial ratio, which characterizes the behaviors of SEIP that lead to solutions with guaranteedapproximation ratios .
Revised:  We study an EA framework simple evolutionary algorithm with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EA . We analyze the approximation performance of SEIP through partial ratio, which characterizes the behaviors of SEIP that lead to solutions with guaranteedapproximation ratios .
Edit intent: fluency
Original:  We study an EA framework simple evolutionary algorithm with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EAs . We analyze the approximation performance of SEIP through partial ratio, which characterizes the behaviors of SEIP that lead to solutions with guaranteedapproximation ratios .
Revised:  We study an EA framework simple evolutionary algorithm with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EAs . We analyze the approximation performance of SEIP using the partial ratio, which characterizes the behaviors of SEIP that lead to solutions with guaranteedapproximation ratios .
Edit intent: clarity
Original:  We study an EA framework simple evolutionary algorithm with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EAs . We analyze the approximation performance of SEIP through partial ratio, which characterizes the behaviors of SEIP that lead to solutions with guaranteedapproximation ratios .
Revised:  We study an EA framework simple evolutionary algorithm with isolated population , abbreviated as SEIP, which is generalized from recent advances in multi-objective EAs . We analyze the approximation performance of SEIP through partial ratio, which characterizes the approximation ratio that can be guaranteed .
Edit intent: clarity
Original:  Specifically, we analyze SEIP on the set cover problem which is NP-hard.
Revised:  Specifically, we analyze SEIP using a set cover problem which is NP-hard.
Edit intent: clarity
Original:  Specifically, we analyze SEIP on the set cover problem which is NP-hard.
Revised:  Specifically, we analyze SEIP on the set cover problem that is NP-hard.
Edit intent: fluency
Original:  We find that , for unbounded set cover problem, SEIP efficiently achieves  H_n-approximation ratio, the asymptotic lower bound ;
Revised:  We find that , for unbounded set cover problem, SEIP efficiently achieves an H_n-approximation ratio, the asymptotic lower bound ;
Edit intent: fluency
Original:  and for the k-set cover problem, it efficiently achieves (H_k- (k-1) / ( 8k^9 )) -approximation ratio, the currently best-achievable result, using bit-wise mutation .
Revised:  and for the k-set cover problem, it efficiently achieves (H_k- (k-1) / 8k^9 )) -approximation ratio, the currently best-achievable result, using bit-wise mutation .
Edit intent: fluency
Original:  and for the k-set cover problem, it efficiently achieves (H_k- (k-1) / ( 8k^9 )) -approximation ratio, the currently best-achievable result, using bit-wise mutation .
Revised:  and for the k-set cover problem, it efficiently achieves (H_k- (k-1) / ( 8k^9 ) -approximation ratio, the currently best-achievable result, using bit-wise mutation .
Edit intent: fluency
Original:  and for the k-set cover problem, it efficiently achieves (H_k- (k-1) / ( 8k^9 )) -approximation ratio, the currently best-achievable result, using bit-wise mutation .
Revised:  and for the k-set cover problem, it efficiently achieves (H_k- (k-1) / ( 8k^9 )) -approximation ratio, the currently best-achievable result, for the k-set cover problem .
Edit intent: clarity
Original:  Moreover, on an instance class of  k-set cover problem, we disclose how SEIP  using either one-bit mutation or bit-wise mutation  can overcome the difficulty that obstructs the greedy algorithm .
Revised:  Moreover, for an instance class of k-set cover problem, we disclose how SEIP using either one-bit mutation or bit-wise mutation can overcome the difficulty that obstructs the greedy algorithm .
Edit intent: coherence
Original:  Moreover, on an instance class of  k-set cover problem, we disclose how SEIP  using either one-bit mutation or bit-wise mutation  can overcome the difficulty that obstructs the greedy algorithm .
Revised:  Moreover, on an instance class of the k-set cover problem, we disclose how SEIP using either one-bit mutation or bit-wise mutation can overcome the difficulty that obstructs the greedy algorithm .
Edit intent: fluency
Original:  Moreover, on an instance class of  k-set cover problem, we disclose how SEIP  using either one-bit mutation or bit-wise mutation  can overcome the difficulty that obstructs the greedy algorithm .
Revised:  Moreover, on an instance class of k-set cover problem, we disclose how SEIP , using either one-bit mutation or bit-wise mutation can overcome the difficulty that obstructs the greedy algorithm .
Edit intent: fluency
Original:  Moreover, on an instance class of  k-set cover problem, we disclose how SEIP  using either one-bit mutation or bit-wise mutation  can overcome the difficulty that obstructs the greedy algorithm .
Revised:  Moreover, on an instance class of k-set cover problem, we disclose how SEIP using either one-bit or bit-wise mutation can overcome the difficulty that obstructs the greedy algorithm .
Edit intent: fluency
Original:  Moreover, on an instance class of  k-set cover problem, we disclose how SEIP  using either one-bit mutation or bit-wise mutation  can overcome the difficulty that obstructs the greedy algorithm .
Revised:  Moreover, on an instance class of k-set cover problem, we disclose how SEIP using either one-bit mutation or bit-wise mutation , can overcome the difficulty that obstructs the greedy algorithm .
Edit intent: fluency
Original:  Moreover, on an instance class of  k-set cover problem, we disclose how SEIP  using either one-bit mutation or bit-wise mutation  can overcome the difficulty that obstructs the greedy algorithm .
Revised:  Moreover, on an instance class of k-set cover problem, we disclose how SEIP using either one-bit mutation or bit-wise mutation can overcome the difficulty that limits the greedy algorithm .
Edit intent: clarity
Original: Food webs, networks of feeding relationships among organisms, are fundamental to ecosystem stability and persistence.
Revised: Food webs, networks of feeding relationships among organisms, provide fundamental insights into mechanisms that determine ecosystem stability and persistence.
Edit intent: clarity
Original:  The Serengeti ecosystem provides an opportunity to examine structure in a  food web that includes species-level resolution among plants, allowing us to address whether groups in the food web correspond to tightly-connected modules or functional groups, and whether network structure reflects spatial or trophic organization, or a combination of both.
Revised:  The Serengeti ecosystem provides an opportunity to examine structure in a food web that includes species-level resolution among plants, allowing us to address whether groups in the food web correspond to tightly-connected compartments or functional groups, and whether network structure reflects spatial or trophic organization, or a combination of both.
Edit intent: clarity
Original:  We compiled the major mammalian and plant components of the Serengeti food web from published literature, and inferred its structure using a Bayesian model in which groups of species behave in a similar fashion with regards to their placement in the food web .
Revised:  We compiled the major mammalian and plant components of the Serengeti food web from published literature, and we infer its group structure using our method .
Edit intent: clarity
Original:  Thus the  structure of the Serengeti web represents a mixture of trophic guild structure and spatial patterns, in contrast to the  compartments typically identified in ecological networks.
Revised:  Thus the group structure of the Serengeti web represents a mixture of trophic guild structure and spatial patterns, in contrast to the compartments typically identified in ecological networks.
Edit intent: clarity
Original:  Thus the  structure of the Serengeti web represents a mixture of trophic guild structure and spatial patterns, in contrast to the  compartments typically identified in ecological networks.
Revised:  Thus the structure of the Serengeti web represents a mixture of trophic guild structure and spatial patterns, in contrast to the standard compartments typically identified in ecological networks.
Edit intent: clarity
Original:  From network data consisting only of nodes and links, the group structure that emerges supports recent ideas on spatial coupling and energy channels in ecosystems , proposed as important for species persistence.
Revised:  From data consisting only of nodes and links, the group structure that emerges supports recent ideas on spatial coupling and energy channels in ecosystems , proposed as important for species persistence.
Edit intent: clarity
Original:  From network data consisting only of nodes and links, the group structure that emerges supports recent ideas on spatial coupling and energy channels in ecosystems , proposed as important for species persistence.
Revised:  From network data consisting only of nodes and links, the group structure that emerges supports recent ideas on spatial coupling and energy channels in ecosystems that have been proposed as important for species persistence.
Edit intent: clarity
Original: Consider a system F of n polynomials in n variables, with a total of n+k distinct exponent vectors, over any local field L of characteristic 0.
Revised: Consider a system F of n polynomials in n variables, with a total of n+k distinct exponent vectors, over any local field L .
Edit intent: clarity
Original:  Nous considerons un systeme F de n polynomes en n variables, avec une total de n+k vecteurs exponents distincts, sur un corps local quelconque L avec characteristique 0. Nous discutons des bornes conjecturales, inferieures et superieures, sur le nombre maximal de racines non-degenerees que F peut avoir dans L^n, avec un signe ou premier chiffre fixe, en fonction de n et k seulement.
Revised:  Nous considerons un systeme F de n polynomes en n variables, avec une total de n+k vecteurs exponents distincts, sur un corps local quelconque L . Nous discutons des bornes conjecturales, inferieures et superieures, sur le nombre maximal de racines non-degenerees que F peut avoir dans L^n, avec un signe ou premier chiffre fixe, en fonction de n et k seulement.
Edit intent: coherence
Original:  In particular, for non-Archimedean L , we give the first non-trivial lower bounds in the case k-1 <= n;
Revised:  For non-Archimedean L , we give the first non-trivial lower bounds in the case k-1 <= n;
Edit intent: coherence
Original:  In particular, for non-Archimedean L , we give the first non-trivial lower bounds in the case k-1 <= n;
Revised:  In particular, for non-Archimedean L we give the first non-trivial lower bounds in the case k-1 <= n;
Edit intent: fluency
Original:  and for general L we give new explicit extremal systems for k=2 and n >= 1. A key tool in our proofs is the construction of n triangles in R^{n+1 .
Revised:  and for general L we give new explicit extremal systems when k=2 and n >= 1. A key tool in our proofs is the construction of n triangles in R^{n+1 .
Edit intent: fluency
Original: Consider a system F of n polynomials in n variables, with a total of n+k distinct exponent vectors, over any local field L. We discuss conjecturally tight upper and lower bounds on the maximal number of non-degenerate roots F can have over L, with all coordinates having fixed sign or fixed first digit , as a function of n and konly.
Revised: Consider a system F of n polynomials in n variables, with a total of n+k distinct exponent vectors, over any local field L. We discuss conjecturally tight bounds on the maximal number of non-degenerate roots F can have over L, with all coordinates having fixed sign or fixed first digit , as a function of n and konly.
Edit intent: clarity
Original:  We also briefly review the background behind such bounds, and their application, including connections to  variants of the Shub-Smale \tau-Conjecture and the P vs.
Revised:  We also briefly review the background behind such bounds, and their application, including connections to variants of the Shub-Smale tau-Conjecture and the P vs.
Edit intent: fluency
Original:  We provide a complete proof of the correctness of our compilation scheme.
Revised:  We provide a proof of the correctness of our compilation scheme.
Edit intent: clarity
Original:  Our benchmark results show that CPC is as efficient, while significantly cheaper , as the most efficient thread libraries available.
Revised:  Our benchmark results show that CPC is as efficient, while using significantly less space , as the most efficient thread libraries available.
Edit intent: clarity
Original:  It is shown that a chaotic (deterministic) order, rather than a stochastic randomness, controls the energy minima positions of the staking interactions in the DNA sequences .
Revised:  It is shown that a chaotic (deterministic) order, rather than a stochastic randomness, controls the energy minima positions of the stacking interactions in the DNA sequences .
Edit intent: fluency
Original:  Here we present an approach to model GRNs through a class of irreversible interacting particle systems called type-dependent stochastic spin models that depart from these traditions.
Revised:  Here we present an approach to model GRNs through a class of stochastic spin models that depart from these traditions.
Edit intent: clarity
Original:  To illustrate the formalism, we investigate some stationary state properties of the repressilator, a synthetic three-gene network of transcriptional regulators that possesses a rich dynamical behavior .
Revised:  To illustrate the formalism, we investigate some stationary state properties of the repressilator, a synthetic three-gene network of transcriptional regulators that possesses a rich dynamical behaviour .
Edit intent: fluency
Original:  To illustrate the formalism, we investigate  some stationary state properties of the repressilator, a synthetic three-gene network of transcriptional regulators that possesses a rich dynamical behaviour .
Revised:  To illustrate the formalism, we investigate some stationary state properties of the repressilator, a synthetic three-gene network of transcriptional regulators that possesses oscillatory behavior .
Edit intent: clarity
Original:  We prove that , unlike the standard CSMA algorithm, this simple distributed access scheme is optimal in the sense that the network is stable for all traffic intensities in the capacity region of the network.
Revised:  We prove that CSMA is optimal in the sense that the network is stable for all traffic intensities in the capacity region of the network.
Edit intent: clarity
Original:  Acad. Sci. USA 91, 5033 (1994)] proposed a measure of neural complexity that purports to capture this property based on mutual information between complementary subsets of a system.
Revised:  Acad. Sci. USA 91, 5033 (1994)] proposed a measure of neural complexity that purports to capture this property based on mutual information between complementary subsets of a system.
Edit intent: fluency
Original:  the length of interior branches and those leading to species are often the same or nearly so, and this holds even for birth-death trees with moderate extinction rates;
Revised:  the length of interior branches and those leading to species are often the same or nearly so, and this holds even for birth-death models with moderate extinction rates;
Edit intent: clarity
Original: We provide the first linear-space data structure with provable sublinear query time for exact point-to-point shortest path queries in planar graphs.
Revised: We present new and improved data structures that answer exact node-to-node distance queries in planar graphs.
Edit intent: clarity
Original:  the data structure can be created in time O(n\lg (n) \lg( 1/\epsilon%DIFDELCMD < }%%% ) ), the space required is\tilde \tilde O(n \lg( 1 / \epsilon ) ), and the query time is  O(n^{1/2+ \epsilon }) . Previous data structures by Fakcharoenphol and Rao (JCSS'06), Klein, Mozes, and Weimann (TransAlg'10), and Mozes and Wulff-Nilsen (ESA'10) with query time\tilde O(n ^{1/2\lg^2n) use space at least \Omega(n\lg n/\lg\lg n).
Revised:  the data structure can be created in time O(n\lg (n) \lg( %DIFDELCMD < }%%% ) ), the space required is\tilde \tilde O(n \lg( 1 / \epsilon ) ), and the query time is O(n^{1/2+ \epsilon }) . Previous data structures by Fakcharoenphol and Rao (JCSS'06), Klein, Mozes, and Weimann (TransAlg'10), and Mozes and Wulff-Nilsen (ESA'10) with query time\tilde O(n ^{1/2\lg^2n) use space at least \Omega(n\lg n/\lg\lg n).
Edit intent: fluency
Original:  the data structure can be created in time O(n\lg (n) \lg( 1/\epsilon%DIFDELCMD < }%%% ) ), the space required is\tilde \tilde O(n \lg( 1 / \epsilon ) ), and the query time is  O(n^{1/2+ \epsilon }) . Previous data structures by Fakcharoenphol and Rao (JCSS'06), Klein, Mozes, and Weimann (TransAlg'10), and Mozes and Wulff-Nilsen (ESA'10) with query time\tilde O(n ^{1/2\lg^2n) use space at least \Omega(n\lg n/\lg\lg n).
Revised:  the data structure can be created in time O(n\lg (n) \lg( 1/\epsilon%DIFDELCMD < }%%% ) ), the space required is\tilde \tilde O(n 1 / \epsilon ) ), and the query time is O(n^{1/2+ \epsilon }) . Previous data structures by Fakcharoenphol and Rao (JCSS'06), Klein, Mozes, and Weimann (TransAlg'10), and Mozes and Wulff-Nilsen (ESA'10) with query time\tilde O(n ^{1/2\lg^2n) use space at least \Omega(n\lg n/\lg\lg n).
Edit intent: fluency