wanyu/IteraTeR_v2 huggingface dataset:
Original:  The separation between  core and periphery changes with the duration of task practice and, importantly, is a good predictor of individual differences in learning success.
Revised:  The separation between core and periphery changes over the course of training and, importantly, is a good predictor of individual differences in learning success.
Edit intent: clarity
Original:  This temporally defined core-periphery organisation corresponds with notions of core-periphery organisation established previously in social networks : The geometric core of strongly connected regions tends to also be the temporal core of stiff regions.
Revised:  This temporally defined core-periphery organisation corresponds with notions of core-periphery organization established previously in social networks : The geometric core of strongly connected regions tends to also be the temporal core of stiff regions.
Edit intent: fluency
Original:  Our results demonstrate that an organisational structure - namely, core-periphery structure - provides a fundamental new approach for understanding how separable functional modules are linked.
Revised:  Our results demonstrate that core-periphery structure - provides a fundamental new approach for understanding how separable functional modules are linked.
Edit intent: clarity
Original:  Our results demonstrate that an organisational structure - namely, core-periphery structure - provides a fundamental new approach for understanding how separable functional modules are linked.
Revised:  Our results demonstrate that an organisational structure - namely, core-periphery organization provides an insightful way to understand how putative functional modules are linked.
Edit intent: clarity
Original:  This, in turn, enables the prediction of fundamental  capacities, including the production of complex goal-directed behaviour, in humans .
Revised:  This, in turn, enables the prediction of fundamental human capacities, including the production of complex goal-directed behaviour, in humans .
Edit intent: fluency
Original:  This, in turn, enables the prediction of fundamental  capacities, including the production of complex goal-directed behaviour, in humans .
Revised:  This, in turn, enables the prediction of fundamental capacities, including the production of complex goal-directed behavior .
Edit intent: clarity
Original:  The algorithm, inspired by prior Dynamic Field Theory models of behavioral sequence representation, is called Dynamic Neural (DN) SARSA(\lambda), and is grounded in both neuronal dynamics and classical reinforcement learning  . DN-SARSA(\lambda) is implemented on both a simulated and real mobile robot performing a search task for a specific sequence of color finding behaviors .
Revised:  The algorithm, inspired by prior Dynamic Field Theory models of behavioral sequence representation, classical reinforcement learning . DN-SARSA(\lambda) is implemented on both a simulated and real mobile robot performing a search task for a specific sequence of color finding behaviors .
Edit intent: coherence
Original:  A  normalizer circuit over a finite Abelian group G is composed of the quantum Fourier transform (QFT) over G  together with gates which compute quadratic functions and automorphisms.
Revised:  A : a normalizer circuit over a finite Abelian group G is composed of the quantum Fourier transform (QFT) over G together with gates which compute quadratic functions and automorphisms.
Edit intent: fluency
Original:  A  normalizer circuit over a finite Abelian group G is composed of the quantum Fourier transform (QFT) over G  together with gates which compute quadratic functions and automorphisms.
Revised:  A normalizer circuit over a finite Abelian group G is composed of the quantum Fourier transform (QFT) over G , together with gates which compute quadratic functions and automorphisms.
Edit intent: fluency
Original:  This result provides a nontrivial example of a family of quantum circuits that cannot yield exponential speed-ups in spite of usage of the QFT---the latter being a central quantum algorithmic primitive.
Revised:  This result provides a nontrivial example of a family of quantum circuits that cannot yield exponential speed-ups in spite of usage of the QFT, the latter being a central quantum algorithmic primitive.
Edit intent: fluency
Original:  This yields a generalization of the Gottesman-Knill theorem , valid for qubits, to arbitrary G. Moreover ]  our simulations are twofold , i.e., we show how to classically efficiently sample the measurement probability distributions as well as  compute the amplitudes of the state vector  .
Revised:  This yields a generalization of the Gottesman-Knill theorem , valid for qubits, to arbitrary G. Moreover ] our simulations are twofold : we present efficient classical algorithms to sample the measurement probability distributions as well as compute the amplitudes of the state vector .
Edit intent: clarity
Original:  This yields a generalization of the Gottesman-Knill theorem , valid for qubits, to arbitrary G. Moreover ]  our simulations are twofold , i.e., we show how to classically efficiently sample the measurement probability distributions as well as  compute the amplitudes of the state vector  .
Revised:  This yields a generalization of the Gottesman-Knill theorem , valid for qubits, to arbitrary G. Moreover ] our simulations are twofold , i.e., we show how to classically efficiently sample the measurement probability distributions as well as to compute the amplitudes of the state vector .
Edit intent: fluency
Original:  For example we characterize how to update stabilizers under generalized Pauli measurements and provide a normal form of he amplitudes of generalized stabilizer states using quadratic functions and subgroup cosets.
Revised:  For example we characterize how to update stabilizers under generalized Pauli measurements and provide a normal form of the amplitudes of generalized stabilizer states using quadratic functions and subgroup cosets.
Edit intent: fluency
Original: We study the Bipartite Unconstrained 0-1 Quadratic Programming Problem (BQP) which is a relaxation of the Unconstrained 0-1 Quadratic Programming Problem  .
Revised: We study the Bipartite Unconstrained 0-1 Quadratic Programming Problem (BQP) which is a relaxation of the Unconstrained 0-1 Quadratic Programming Problem (QP) .
Edit intent: fluency
Original:  Applications of  BQP include mining discrete patterns from binary data, approximating matrices by rank-one binary matrices, computing cut-norm of a matrix, and solving optimization problems such as maximum weight biclique, bipartite maximum weight cut, maximum weight induced subgraph of a bipartite graph, etc.
Revised:  Applications of the BQP include mining discrete patterns from binary data, approximating matrices by rank-one binary matrices, computing cut-norm of a matrix, and solving optimization problems such as maximum weight biclique, bipartite maximum weight cut, maximum weight induced subgraph of a bipartite graph, etc.
Edit intent: fluency
Original:  We propose several classes of heuristic approaches to solve  BQP and discuss a number of construction algorithms, local search neighborhoods and their combinations.
Revised:  We propose several classes of heuristic approaches to solve the BQP and discuss a number of construction algorithms, local search neighborhoods and their combinations.
Edit intent: fluency
Original:  We propose several classes of heuristic approaches to solve  BQP and discuss a number of construction algorithms, local search neighborhoods and their combinations.
Revised:  We propose several classes of heuristic approaches to solve BQP and discuss a number of construction algorithms, local search algorithms and their combinations.
Edit intent: clarity
Original: In this paper, we address low-rank matrix completion problems with fixed basis coefficients , which include the low-rank correlation matrix completion in various fields such as the financial market and the low-rank density matrix completion from the quantum state tomography.
Revised: For the problems of low-rank matrix completion problems with fixed basis coefficients , which include the low-rank correlation matrix completion in various fields such as the financial market and the low-rank density matrix completion from the quantum state tomography.
Edit intent: clarity
Original:  We also provide necessary and sufficient conditions for rank consistency in the sense of Bach ( JMLR 9:1019-1048, 2008) , in which the concept of constraint nondegeneracy in matrix optimization plays an important role .
Revised:  We also provide necessary and sufficient conditions for rank consistency in the sense of Bach ( 2008) , in which the concept of constraint nondegeneracy in matrix optimization plays an important role .
Edit intent: clarity
Original:  We also provide necessary and sufficient conditions for rank consistency in the sense of Bach ( JMLR 9:1019-1048, 2008) , in which the concept of constraint nondegeneracy in matrix optimization plays an important role .
Revised:  We also provide necessary and sufficient conditions for rank consistency in the sense of Bach ( JMLR 9:1019-1048, 2008) , in which the concept of constraint nondegeneracy in matrix optimization .
Edit intent: clarity
Original:  As a byproduct, our results provide a theoretical foundation for the majorized penalty method of Gao and Sun (2010) and Gao ( PhD thesis, 2010) for structured low-rank matrix optimization problems  .
Revised:  As a byproduct, our results provide a theoretical foundation for the majorized penalty method of Gao and Sun (2010) and Gao ( 2010) for structured low-rank matrix optimization problems .
Edit intent: coherence
Original:  As a consequence, we find that identifying funding costs FVA and debit valuation adjustments DVA is not tenable in general, contrary to what has been suggested in the literature in simple cases.
Revised:  As a consequence, we find that identifying funding costs and debit valuation adjustments DVA is not tenable in general, contrary to what has been suggested in the literature in simple cases.
Edit intent: clarity
Original:  As a consequence, we find that identifying funding costs FVA and debit valuation adjustments DVA is not tenable in general, contrary to what has been suggested in the literature in simple cases.
Revised:  As a consequence, we find that identifying funding costs FVA and debit valuation adjustments is not tenable in general, contrary to what has been suggested in the literature in simple cases.
Edit intent: fluency
Original: We introduce a new economics system suited for Intangible Goods ({\sc ig}).
Revised: We introduce a new economic system suited for Intangible Goods ({\sc ig}).
Edit intent: fluency
Original:  The very first draft is written in French language and posted to arXiv.org before October 18th, 2012.
Revised:  The very first draft is written in French language and posted to arXiv.org .
Edit intent: coherence
Original:  The new cup currency, world wide seted is dedicated to {\sc ig}, available  for person-to-person trading, protected from speculation and adapted for tax recovery with no additional computation.
Revised:  The new "cup" currency, extended worldwide, is dedicated to {\sc ig}, available for person-to-person trading, protected from speculation and adapted for tax recovery with no additional computation.
Edit intent: clarity
Original:  Those nices features makes the %DIFDELCMD < \sc net %%% a new democraic tool, fixing specific issues in {\sc ig} trading and reviving a whole domain activity.
Revised:  Those nices features makes the %DIFDELCMD < \sc net %%% a new democratic tool, fixing specific issues in {\sc ig} trading and reviving a whole domain activity.
Edit intent: fluency
Original:  This new trading contract should be considered as a pure intellectual construction, like parts of Mathematics and then belongs to nobody or everybody, like 1+1=2.
Revised:  This new trading model should be considered as a pure intellectual construction, like parts of Mathematics and then belongs to nobody or everybody, like 1+1=2.
Edit intent: clarity
Original:  Here, we evaluated the work performed by the nano-sized biological free-energy transducer F1-ATPase by single-molecule experiments on the basis of nonequilibrium theory.
Revised:  Here, we evaluated the work exerted by the nanosized biological free-energy transducer F1-ATPase by single-molecule experiments on the basis of nonequilibrium theory.
Edit intent: clarity
Original:  We show that the F1-ATPase achieves a nearly 100\% free-energy conversion efficiency even far from quasistatic process for both the mechanical-to-chemical and chemical-to-mechanical transductions.
Revised:  The results imply that the F1-ATPase achieves a nearly 100\% free-energy conversion efficiency even far from quasistatic process for both the mechanical-to-chemical and chemical-to-mechanical transductions.
Edit intent: coherence
Original:  Such a high efficiency at a finite-time operation is not expected for macroscopic engines and highlights a remarkable property of the nano-sized engines working in the energy scale of k_{B .
Revised:  Such a high efficiency at a finite-time operation is not expected for macroscopic engines and highlights a remarkable property of the nanosized engines working in the energy scale of k_{B .
Edit intent: fluency
Original:  Such a high efficiency at a finite-time operation is not expected for macroscopic engines and highlights a remarkable property of the nano-sized engines working in the energy scale of k_{B .
Revised:  Such a high efficiency at a finite-time operation is not expected for macroscopic engines and highlights a remarkable property of the nano-sized engines working in the energy scale of kBT .
Edit intent: clarity
Original:  Such a high efficiency at a finite-time operation is not expected for macroscopic engines and highlights a remarkable property of the nanosized engines working in the energy scale of kBT .
Revised:  Such a high efficiency with negligible dissipation inside the motor even during rotations far from a quasistatic process .
Edit intent: clarity
Original: We convert the SUBSET-SUM problem , within polynomial-time and using sequential processing,  into a problem of deciding feasibility of a given system S of linear equations with constants and coefficients of binary-variables that are 0, 1, or -1. S is feasible, if and only if, the SUBSET-SUM problem has a feasible solution.
Revised: We convert , within polynomial-time and using sequential processing, into a problem of deciding feasibility of a given system S of linear equations with constants and coefficients of binary-variables that are 0, 1, or -1. S is feasible, if and only if, the SUBSET-SUM problem has a feasible solution.
Edit intent: clarity
Original: We convert the SUBSET-SUM problem , within polynomial-time and using sequential processing,  into a problem of deciding feasibility of a given system S of linear equations with constants and coefficients of binary-variables that are 0, 1, or -1. S is feasible, if and only if, the SUBSET-SUM problem has a feasible solution.
Revised: We convert the SUBSET-SUM problem , within polynomial-time and sequential processing, into a problem of deciding feasibility of a given system S of linear equations with constants and coefficients of binary-variables that are 0, 1, or -1. S is feasible, if and only if, the SUBSET-SUM problem has a feasible solution.
Edit intent: clarity
Original: In peer-to-peer network , free riding is a big problem.
Revised: In peer-to-peer networks , free riding is a big problem.
Edit intent: fluency
Original: In peer-to-peer network , free riding is a big problem.
Revised: In peer-to-peer network , free riding is a major problem.
Edit intent: clarity
Original:  Reputation management systems are used to overcome free riding.
Revised:  Reputation management systems can be used to overcome free riding.
Edit intent: clarity
Original:  This paper proposes a reputation estimation method using BLUE (Best Linear Unbiased estimator) estimator that consider all uncertainties . Reputation aggregation in peer to peer networks is generally  very time and resource consuming affair.
Revised:  This paper proposes a reputation estimation method using BLUE (Best Linear Unbiased estimator) estimator that consider uncertainties in the input variables . Reputation aggregation in peer to peer networks is generally very time and resource consuming affair.
Edit intent: clarity
Original:  This paper proposes a reputation estimation method using BLUE (Best Linear Unbiased estimator) estimator that consider all uncertainties . Reputation aggregation in peer to peer networks is generally  very time and resource consuming affair.
Revised:  This paper proposes a reputation estimation method using BLUE (Best Linear Unbiased estimator) estimator that consider all uncertainties . Reputation aggregation in peer to peer networks is generally a very time and resource consuming affair.
Edit intent: fluency
Original:  Moreover these methods consider that reputation of a node is same for every  node in the network, while that is not true.
Revised:  Moreover these methods consider that reputation of a node is same for every other node in the network, while that is not true.
Edit intent: clarity
Original:  Moreover these methods consider that reputation of a node is same for every  node in the network, while that is not true.
Revised:  Moreover these methods consider that reputation of a node is same for every node in the network, while this is not true.
Edit intent: fluency
Original:  This paper also proposes a reputation aggregation algorithm that uses a variant of gossip algorithm , differential gossip.
Revised:  This paper also proposes a reputation aggregation algorithm that uses a variant of gossip algorithm called differential gossip.
Edit intent: fluency
Original:  Differential gossip is fast and requires sizable amount of resources.
Revised:  Di?erential gossip is fast and requires sizable amount of resources.
Edit intent: fluency
Original:  Differential gossip is fast and requires sizable amount of resources.
Revised:  Differential gossip is fast and requires less amount of resources.
Edit intent: clarity
Original:  Moreover it computes different reputation value of anode for every node in the network.
Revised:  This mechanism allows computation of ? different reputation value of anode for every node in the network.
Edit intent: clarity
Original:  Moreover it computes different reputation value of anode for every node in the network.
Revised:  Moreover it computes different reputation value of a node for every other node in the network.
Edit intent: clarity
Original:  We have implemented Differential Gossip Trust for power law network formed using PA Model.
Revised:  We have implemented Di?erential Gossip Trust for power law network formed using PA Model.
Edit intent: fluency
Original:  The reputation computed using differential gossip trust shows good immunity to collusion.
Revised:  The reputation computed using di?erential gossip trust shows good immunity to collusion.
Edit intent: fluency
Original:  We have verified the performance of  algorithm on power law networks of different sizes ranging from 100 nodes to 50,000 nodes.
Revised:  We have verified the performance of the algorithm on power law networks of different sizes ranging from 100 nodes to 50,000 nodes.
Edit intent: fluency
Original:  We have verified the performance of  algorithm on power law networks of different sizes ranging from 100 nodes to 50,000 nodes.
Revised:  We have verified the performance of algorithm on power law networks of di?erent sizes ranging from 100 nodes to 50,000 nodes.
Edit intent: clarity
Original:  Moreover, these methods consider that reputation of a node is same for every other node in the network, while this is not true.
Revised:  Moreover, most of the methods consider that reputation of a node is same for every other node in the network, while this is not true.
Edit intent: clarity
Original:  This paper also proposes a reputation aggregation algorithm that uses a variant of gossip algorithm called differential gossip.
Revised:  This paper proposes a reputation aggregation algorithm that uses a variant of gossip algorithm called differential gossip.
Edit intent: clarity
Original:  Di?erential gossip is fast and  requires less amount of resources.
Revised:  Differential gossip is fast and requires less amount of resources.
Edit intent: fluency
Original:  Di?erential gossip is fast and  requires less amount of resources.
Revised:  Di?erential gossip is fast and it requires less amount of resources.
Edit intent: fluency
Original:  This mechanism allows computation of ? different reputation value of a node for every other node in the network.
Revised:  This mechanism allows computation of different reputation value of a node for every other node in the network.
Edit intent: fluency
Original:  We have implemented Di?erential Gossip Trust for power law network formed using PA Model.
Revised:  We have implemented Differential Gossip Trust for power law network formed using PA Model.
Edit intent: fluency
Original:  We have implemented Di?erential Gossip Trust for power law network formed using PA Model.
Revised:  We have implemented Di?erential Gossip Trust for power law network formed using preferential attachment Model.
Edit intent: clarity
Original:  We have implemented Di?erential Gossip Trust for power law network formed using PA Model.
Revised:  We have implemented Di?erential Gossip Trust for power law network formed using PA(PA) Model.
Edit intent: clarity
Original:  The reputation computed using di?erential gossip trust shows good immunity to collusion.
Revised:  The reputation computed using differential gossip trust shows good immunity to collusion.
Edit intent: fluency
Original:  We have verified the performance of the algorithm on power law networks of di?erent sizes ranging from 100 nodes to 50,000 nodes.
Revised:  We have verified the performance of the algorithm on power law networks of different sizes ranging from 100 nodes to 50,000 nodes.
Edit intent: fluency
Original:  Moreover, most of the methods consider that reputation of a node is same for every other node in the network, while this is not true.
Revised:  Moreover, most of the methods consider that a node will have same reputation with all the nodes in the network, while this is not true.
Edit intent: clarity
Original:  Moreover, most of the methods consider that reputation of a node is same for every other node in the network, while this is not true.
Revised:  Moreover, most of the methods consider that reputation of a node is same for every other node in the network, which is not true.
Edit intent: coherence
Original:  Differential gossip is fast and it requires less amount of resources.
Revised:  Differential gossip is fast and requires less amount of resources.
Edit intent: coherence
Original:  The reputation computed using differential gossip trust shows good immunity to collusion.
Revised:  The reputation computed using differential gossip trust shows good amount of immunity to the collusion.
Edit intent: clarity
Original:  We have verified the performance of the algorithm on  power law networks of different sizes ranging from 100 nodes to 50,000 nodes.
Revised:  We have verified the performance of the algorithm on the power law networks of different sizes ranging from 100 nodes to 50,000 nodes.
Edit intent: fluency
Original: The Abelian Sandpile Model is a discrete di?usion process de?ned on graphs (Dhar [10], Dhar et al.
Revised: The Abelian Sandpile Model is a discrete diffusion process defined on graphs (Dhar [10], Dhar et al.
Edit intent: fluency
Original:  The transience class of a sandpile is de?ned as the maximum number of particles that can be added without making the system recurrent ([3]).
Revised:  The transience class of a sandpile is defined as the maximum number of particles that can be added without making the system recurrent ([3]).
Edit intent: fluency