wanyu/IteraTeR_v2 huggingface dataset:
Original:  Instantons are classical trajectories of the non-linear equations of motion describing SOLGs, that connect topologically distinct critical points in the phase space.
Revised:  Instantons are classical trajectories of the non-linear equations of motion describing SOLGs, and connect topologically distinct critical points in the phase space.
Edit intent: fluency
Original:  By linear analysis at those points, we show that these instantons connect the initial state of the dynamics, with at least one unstable direction, directly to the final fixed point  .
Revised:  By linear analysis at those points, we show that these instantons connect the initial critical point of the dynamics, with at least one unstable direction, directly to the final fixed point .
Edit intent: clarity
Original:  Does additional side information help recommen- dation ? Recommender systems play an important role in many e-commerce services such as Amazon and Netflix to recommend new items to a user.
Revised:  Does additional information help recommendation ? Recommender systems play an important role in many e-commerce services such as Amazon and Netflix to recommend new items to a user.
Edit intent: fluency
Original:  We describe details of the two methods in various aspects of recommendation quality such as how those methods handle cold-start problem which typ- ically happens in collaborative filtering.
Revised:  We describe details of the two methods in various aspects of recommendation quality such as how those methods handle cold-start problem which typically happens in collaborative filtering.
Edit intent: fluency
Original: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Revised: We consider the problem of identity testing of two "hidden" monic polynomials f , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Edit intent: clarity
Original: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Revised: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e for x\in\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Edit intent: coherence
Original: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Revised: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Edit intent: fluency
Original: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Revised: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements and an extension fields access is not permitted ) .
Edit intent: coherence
Original: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted ) .
Revised: We consider the problem of identity testing of two "hidden" monic polynomials f and g , given an oracle access to f(x)^e and g(x)^e for x\in{\mathbb F _q, where \mathbb F _q is the finite field of q elements ( an extension fields access is not permitted .
Edit intent: fluency
Original:  The naive interpolation algorithm needs de+1 queries, where d =\max\{ \mathrm{deg\, f, deg\, } {\rm  {\rm   g\} and thus requires de<q.
Revised:  The naive interpolation algorithm needs de+1 queries, where d =\max\{ \mathrm{deg\, f, deg\, } {\rm {\rm \ g\} and thus requires de<q.
Edit intent: fluency
Original:  For a prime q = p . we design an algorithm that is asymptotically better in certain cases, especially when d is large.
Revised:  For a prime q = p , we design an algorithm that is asymptotically better in certain cases, especially when d is large.
Edit intent: fluency
Original:  It gives an upper bound on the number of values of a rational function of large degree, evaluated on a short sequence of consecutive integers, that belong to a small subgroup of \mathbb F _p^*.
Revised:  It gives an upper bound on the number of values of a rational function of large degree, evaluated on a short sequence of consecutive integers, that belong to a small subgroup of \mathbb F _p^*.
Edit intent: fluency
Original:  The size and complexity of these models , however, mean that their behaviour is not always intuitive and the underlying mechanisms can be difficult to decipher.
Revised:  The size and complexity of these models mean that their behaviour is not always intuitive and the underlying mechanisms can be difficult to decipher.
Edit intent: coherence
Original:  We demonstrate that the method captures the full dynamics of a simple cross-repressive transcriptional motif while simplifying analysis of the subnetwork and providing a natural interpretation of the memory functions .
Revised:  We demonstrate that the method captures the full dynamics of a simple cross-repressive transcriptional motif while simplifying analysis of the subnetwork but also have a natural interpretation of the memory functions .
Edit intent: coherence
Original:  We demonstrate that the method captures the full dynamics of a simple cross-repressive transcriptional motif while simplifying analysis of the subnetwork and providing a natural interpretation of the memory functions .
Revised:  We demonstrate that the method captures the full dynamics of a simple cross-repressive transcriptional motif while simplifying analysis of the subnetwork and providing a natural interpretation .
Edit intent: clarity
Original:  This reveals the function of specific links within the neural tube network and identifies features of the regulatory structure that  increase the robustness of the network to initial conditions.
Revised:  This reveals the function of specific links within the neural tube network and identify features of the regulatory structure that increase the robustness of the network to initial conditions.
Edit intent: fluency
Original:  The generated hybrid-parallel (MPI+OpenMP) code is  significantly faster than matrix-based approaches on the node level and performs in accordance with the Roofline model.
Revised:  The generated hybrid-parallel (MPI+OpenMP) code is significantly faster than matrix-based approaches on the node level and performs in accordance with the roofline model.
Edit intent: fluency
Original:  Despite significant effort, there has been a disconnect between most quantum machine learning proposals, the needs of ML practitioners, and the capabilities of near-term quantum devices to demonstrate quantum enhancement in the near future.
Revised:  Despite significant effort, there has been a disconnect between most quantum ML proposals, the needs of ML practitioners, and the capabilities of near-term quantum devices to demonstrate quantum enhancement in the near future.
Edit intent: clarity
Original:  We argue that to reach this target, the focus should be on areas where ML researchers are still struggling, such as generative models in unsupervised or semisupervised learning, instead of the popular and much more tractable ML techniques.
Revised:  We argue that to reach this target, the focus should be on areas where ML researchers are struggling, such as generative models in unsupervised or semisupervised learning, instead of the popular and much more tractable ML techniques.
Edit intent: clarity
Original:  We argue that to reach this target, the focus should be on areas where ML researchers are still struggling, such as generative models in unsupervised or semisupervised learning, instead of the popular and much more tractable ML techniques.
Revised:  We argue that to reach this target, the focus should be on areas where ML researchers are still struggling, such as generative models in unsupervised and semi-supervised learning, instead of the popular and much more tractable ML techniques.
Edit intent: fluency
Original:  We argue that to reach this target, the focus should be on areas where ML researchers are still struggling, such as generative models in unsupervised or semisupervised learning, instead of the popular and much more tractable ML techniques.
Revised:  We argue that to reach this target, the focus should be on areas where ML researchers are still struggling, such as generative models in unsupervised or semisupervised learning, instead of the popular and more tractable supervised learning techniques.
Edit intent: clarity
Original:  Finally, we introduce the quantum-assisted Helmholtz machine (QAHM) ;
Revised:  Finally, we introduce the quantum-assisted Helmholtz machine (QAHM) ,
Edit intent: fluency
Original:  an attempt to use near-term quantum devices to tackle high-resolution datasets on continuous variables.
Revised:  an attempt to use near-term quantum devices to tackle high-dimensional datasets of continuous variables.
Edit intent: clarity
Original:  For instance, the expression (a^Bb)^\omega represents the language of infinite words over the letters ~ a,b where there is a common bound on the number of consecutive letters ~ a.
Revised:  For instance, the expression (a^Bb)^\omega represents the language of infinite words over the letters a,b where there is a common bound on the number of consecutive letters ~ a.
Edit intent: fluency
Original:  For instance, the expression (a^Bb)^\omega represents the language of infinite words over the letters ~ a,b where there is a common bound on the number of consecutive letters ~ a.
Revised:  For instance, the expression (a^Bb)^\omega represents the language of infinite words over the letters ~ a,b where there is a common bound on the number of consecutive letters a.
Edit intent: fluency
Original:  The expression ~ (a^Sb)^\omega represents a similar language, but this time the distance between consecutive b's is required to tend toward the infinite.
Revised:  The expression (a^Sb)^\omega represents a similar language, but this time the distance between consecutive b's is required to tend toward the infinite.
Edit intent: fluency
Original:  The 2016 edition of the conference comprised more than 2,400 paper submissions, 3,000 reviewers, and 8,000 attendees , representing a growth of nearly 40\% in terms of submissions, 96\% in terms of reviewers, and over 100\% in terms of attendees as compared to the previous year.
Revised:  The 2016 edition of the conference comprised more than 2,400 paper submissions, 3,000 reviewers, and 8,000 attendees . This represents a growth of nearly 40\% in terms of submissions, 96\% in terms of reviewers, and over 100\% in terms of attendees as compared to the previous year.
Edit intent: coherence
Original:  In this report , we analyze several aspects of the data collected during the review process, including an experiment investigating the efficacy of collecting ordinal rankings from reviewers (vs. usual scores aka cardinal rankings).
Revised:  In this report , we analyze several aspects of the data collected during the review process, including an experiment investigating the efficacy of collecting ordinal rankings from reviewers .
Edit intent: coherence
Original:  Our goal is to check the soundness of the review process we implemented and, in going so, provide insights that may be useful in the design of the review process of subsequent conferences .
Revised:  Our goal is to check the soundness of the review process , and provide insights that may be useful in the design of the review process of subsequent conferences .
Edit intent: clarity
Original: Two-strategy evolutionary games on graphs have been extensively studied in the literature .
Revised: Evolutionary games on graphs have been extensively studied in the literature .
Edit intent: clarity
Original: Two-strategy evolutionary games on graphs have been extensively studied in the literature .
Revised: Two-strategy evolutionary games on graphs have been extensively studied .
Edit intent: clarity
Original:  A variety of graph structures, degrees of graph dynamics, and behaviours of replicators have been explored.
Revised:  A variety of graph structures, graph dynamics, and behaviours of replicators have been explored.
Edit intent: clarity
Original:  These models have primarily been studied in the framework of facilitation of cooperation, and much excellent work has shed light on this field of study.
Revised:  These models have primarily been studied in the framework of facilitation of cooperation, and much previous research has shed light on this field of study.
Edit intent: clarity
Original:  However, there has been little attention  to truncation selection as most models employ proportional selection ( reminiscent of the replicator equation) or " imitate the best.
Revised:  However, there has been little attention devoted to truncation selection as most models employ proportional selection ( reminiscent of the replicator equation) or " imitate the best.
Edit intent: clarity
Original:  However, there has been little attention  to truncation selection as most models employ proportional selection ( reminiscent of the replicator equation) or " imitate the best.
Revised:  However, there has been little attention to truncation selection as most models employ proportional selection ( such as in the replicator equation) or " imitate the best.
Edit intent: clarity
Original:  However, there has been little attention  to truncation selection as most models employ proportional selection ( reminiscent of the replicator equation) or " imitate the best.
Revised:  However, there has been little attention to truncation selection as most models employ proportional selection ( reminiscent of the replicator equation) or ` imitate the best.
Edit intent: fluency
Original:  " Here we systematically explore truncation selection on random graphs , where replicators below a fitness threshold are culled and the reproduction probabilities are equal for all survivors.
Revised:  ' Here we systematically explore truncation selection on random graphs , where replicators below a fitness threshold are culled and the reproduction probabilities are equal for all survivors.
Edit intent: fluency
Original:  and dependent truncation, which is a generalization of " imitate the best.
Revised:  and dependent truncation, which is a generalization of ` imitate the best.
Edit intent: fluency
Original:  " Further, we explore the effects of diffusion in our networks in the following orders of operation: diffusion-combat-offspring (DCO ), and combat-diffusion-offspring (CDO).
Revised:  ' Further, we explore the effects of diffusion in our networks in the following orders of operation: diffusion-combat-offspring (DCO ), and combat-diffusion-offspring (CDO).
Edit intent: fluency
Original:  " Further, we explore the effects of diffusion in our networks in the following orders of operation: diffusion-combat-offspring (DCO ), and combat-diffusion-offspring (CDO).
Revised:  " Further, we explore the effects of diffusion in our networks in the following orders of operation: contest-diffusion-offspring (CDO ), and combat-diffusion-offspring (CDO).
Edit intent: clarity
Original:  cooperation initially rises as we raise the threshold and there exists an optimal threshold for facilitating cooperation ;
Revised:  polymorphisms and extinction can occur ;
Edit intent: coherence
Original:  lower levels reduce cooperation for the hawk-dove game and increase it for the stag hunt , and higher levels produce the opposite effects.
Revised:  lower levels reduce cooperation for the Hawk Dove game and increase it for the stag hunt , and higher levels produce the opposite effects.
Edit intent: fluency
Original:  lower levels reduce cooperation for the hawk-dove game and increase it for the stag hunt , and higher levels produce the opposite effects.
Revised:  lower levels reduce cooperation for the hawk-dove game and increase it for the Stag Hunt , and higher levels produce the opposite effects.
Edit intent: fluency
Original: This paper presents  convergence analysis of kernel-based quadrature rules in misspecified settings, focusing on deterministic quadrature in Sobolev spaces.
Revised: This paper presents a convergence analysis of kernel-based quadrature rules in misspecified settings, focusing on deterministic quadrature in Sobolev spaces.
Edit intent: fluency
Original:  More precisely, we show that convergence rates can be derived (i) if the sum of absolute weights remains constant (or does not increase quickly), or (ii) if the minimum distance between distance design points does not decrease very quickly.
Revised:  More precisely, we show that convergence rates can be derived (i) if the sum of absolute weights remains constant (or does not increase quickly), or (ii) if the minimum distance between design points does not decrease very quickly.
Edit intent: fluency
Original: We present kleuren, a novel alignment-free and assembly-free method to reconstruct phylogenetic trees using the Colored de Bruijn Graph. kleuren works by constructing the Colored de Bruijn Graph and then traversing it, finding bubble structures in the graph that provide phylogenetic signal between taxa .
Revised: We present kleuren, a novel assembly-free method to reconstruct phylogenetic trees using the Colored de Bruijn Graph. kleuren works by constructing the Colored de Bruijn Graph and then traversing it, finding bubble structures in the graph that provide phylogenetic signal between taxa .
Edit intent: coherence
Original: We present kleuren, a novel alignment-free and assembly-free method to reconstruct phylogenetic trees using the Colored de Bruijn Graph. kleuren works by constructing the Colored de Bruijn Graph and then traversing it, finding bubble structures in the graph that provide phylogenetic signal between taxa .
Revised: We present kleuren, a novel alignment-free and assembly-free method to reconstruct phylogenetic trees using the Colored de Bruijn Graph. kleuren works by constructing the Colored de Bruijn Graph and then traversing it, finding bubble structures in the graph that provide phylogenetic signal .
Edit intent: clarity
Original: A convex network can be defined as such in which every connected induced subgraph includes all the shortest paths between its nodes.
Revised: A convex network can be defined as a network such that every connected induced subgraph includes all the shortest paths between its nodes.
Edit intent: clarity
Original:  A convex skeleton is a generalization of a network spanning tree in which each edge can be replaced by a clique of arbitrary size.
Revised:  A convex skeleton is a generalization of a spanning tree in which each edge can be replaced by a clique of arbitrary size.
Edit intent: clarity
Original:  A convex skeleton is a generalization of a spanning tree in which each edge can be replaced by a clique of arbitrary size.
Revised:  A convex skeleton is a generalisation of a network spanning tree in which each edge can be replaced by a clique of arbitrary size.
Edit intent: clarity
Original: Two constructive linear coding methods, previously proposed for the Wyner-Ziv problem, are developedto achieve all points of the key-leakage-storage regions of the generated- and chosen-secret models of biometric secrecy systems.
Revised: Two constructive linear coding methods, previously proposed for the Wyner-Ziv problem, are developedto achieve all points of the key-leakage-storage regions of the generated-secret and chosen-secret models of biometric secrecy systems.
Edit intent: fluency
Original:  The second construction uses nested polar codes for vector quantization during enrollment and  error correction during reconstruction.
Revised:  The second construction uses nested polar codes for vector quantization during enrollment and for error correction during reconstruction.
Edit intent: fluency
Original:  We find two key factors that affect users' behaviors: attractive item content and compatibility with users' interests.
Revised:  We find two key factors that affect users' behaviors: items' attractiveness and their matching degree with users' interests.
Edit intent: clarity
Original:  This paper proposes Telepath , a vision-based architecture that simulates the human vision system to extract the key visual signals that attract users to a displayed item and generate vision activationsand simulates cerebral cortex to understand users' interest based on the captured activations from browsed items.
Revised:  This paper proposes Telepath , a vision-based architecture that simulates the human vision system to extract key visual signals that attract users to a displayed item and generate vision activationsand simulates cerebral cortex to understand users' interest based on the captured activations from browsed items.
Edit intent: fluency
Original:  This paper proposes Telepath , a vision-based architecture that simulates the human vision system to extract the key visual signals that attract users to a displayed item and generate vision activationsand simulates cerebral cortex to understand users' interest based on the captured activations from browsed items.
Revised:  This paper proposes Telepath , a vision-based architecture that simulates the human vision system to extract the key visual signals that attract users to a displayed item and generate vision activationsand simulates cerebral cortex to understand users' interest based on the activations generated from browsed items.
Edit intent: clarity
Original:  Telepath is a combination of CNN, RNN and DNN.
Edit intent: coherence
Original:  In practice, the Telepath model has been launched to JD's online recommender system and advertising system.
Revised:  In practice, the Telepath model has been launched to JD's recommender system and advertising system.
Edit intent: clarity
Original:  For one of the major item recommendation blocks on the JD app, CTR, GMV and orders have increased 1.59\%, 8.16\% and 8.71\% respectively.
Revised:  For one of the major item recommendation blocks on the JD app, click-through rate (CTR), gross merchandise value (GMV) and orders have increased 1.59\%, 8.16\% and 8.71\% respectively.
Edit intent: clarity
Original:  For several major advertising publishers of JD DSP , CTR, GMV and ROI have increased 6.58\%, 61.72\% and 65.57\% respectively by the first launch, and further increased 2.95\%, 41.75\% and 41.37\% respectively by the second launch.
Revised:  For several major ads publishers of JD DSP , CTR, GMV and ROI have increased 6.58\%, 61.72\% and 65.57\% respectively by the first launch, and further increased 2.95\%, 41.75\% and 41.37\% respectively by the second launch.
Edit intent: fluency
Original:  For several major advertising publishers of JD DSP , CTR, GMV and ROI have increased 6.58\%, 61.72\% and 65.57\% respectively by the first launch, and further increased 2.95\%, 41.75\% and 41.37\% respectively by the second launch.
Revised:  For several major advertising publishers of JD demand-side platform , CTR, GMV and ROI have increased 6.58\%, 61.72\% and 65.57\% respectively by the first launch, and further increased 2.95\%, 41.75\% and 41.37\% respectively by the second launch.
Edit intent: clarity