wanyu/IteraTeR_v2 huggingface dataset:
Original:  Here firstly, an additional slack variable is introduced to relax the original large-scale nonconvex optimization problem.
Revised:  Here firstly, an additional slack variable is introduced to transform the original large-scale nonconvex optimization problem.
Edit intent: clarity
Original:  Additionally, it is analytically shown and established that the requisite desired stationary point exists for the procedures of the hierarchical stages for convergence in the algorithm.
Revised:  Additionally, it is analytically shown and established that the requisite desired stationary point exists for convergence in the algorithm.
Edit intent: clarity
Original:  In all cases, the ability to maintain ideal focusing as a function of frequency requires proportional changes in the loudspeaker or control geometry.
Revised:  In all cases, the ability to maintain ideal focusing as a function of frequency requires proportional changes in the source or control point geometry.
Edit intent: clarity
Original: Previous virtual-reality simulations of curved space , which typically present honeycombs or other periodic structures, have proven effective in letting mathematicians experience curved space directly.
Revised: Virtual-reality simulations of curved space , which typically present honeycombs or other periodic structures, have proven effective in letting mathematicians experience curved space directly.
Edit intent: coherence
Original:  By contrast, for students and other non-mathematicians, a game like Non-Euclidean Billiards is more effective because it gives students not just something to see  , but also something to do in the curved space .
Revised:  By contrast, for students and other non-mathematicians, a game like Non-Euclidean Billiards is more effective because it gives students not just something to see in the curved space , but also something to do in the curved space .
Edit intent: fluency
Original:  By contrast, for students and other non-mathematicians, a game like Non-Euclidean Billiards is more effective because it gives students not just something to see  , but also something to do in the curved space .
Revised:  By contrast, for students and other non-mathematicians, a game like Non-Euclidean Billiards is more effective because it gives students not just something to see , but also has something fun to do there .
Edit intent: clarity
Original:  The present article presents a solution to the body coherence problem, as well as several other questions that arise in interactive VR simulations in curved space  .
Revised:  This article presents a solution to the body coherence problem, as well as several other questions that arise in interactive VR simulations in curved space .
Edit intent: clarity
Original:  We improve the accuracy of the numerical integration by using the Gauss-Hermite quadrature.
Revised:  We improve the accuracy of the numerical integration by using the Gauss--Hermite quadrature.
Edit intent: fluency
Original:  For the uncorrelated SABR model, the new method of option pricing is accurate and arbitrage-free across all strike prices.
Revised:  For the uncorrelated SABR model, the new option pricing method is accurate and arbitrage-free across all strike prices.
Edit intent: clarity
Original:  MARL is an interdisciplinary domain with a long history that includes game theory, machine learning, stochastic control, psychology, and optimisation.
Revised:  It is an interdisciplinary domain with a long history that includes game theory, machine learning, stochastic control, psychology, and optimisation.
Edit intent: clarity
Original: The turnpike problem of recovering a set of points in \mathbb{R related to the phase retrieval problem of recovering a signal from magnitude-only measurements of its Fourier transform.
Revised: We consider the problem of recovering a set of points in \mathbb{R related to the phase retrieval problem of recovering a signal from magnitude-only measurements of its Fourier transform.
Edit intent: clarity
Original:  We prove theoretically that MISTR correctly recovers most signals distributed as a Gaussian point process  as long as sparsity is at most O \left( N ^{ D(}\right)  1/2 - \delta)%DIFDELCMD < \MBLOCKRIGHTBRACE%%% }\left( \right) .
Revised:  We prove theoretically that MISTR correctly recovers most signals distributed as a Gaussian point process as long as sparsity is at most O \left( n ^{ D(}\right) 1/2 - \delta)%DIFDELCMD < \MBLOCKRIGHTBRACE%%% }\left( \right) .
Edit intent: fluency
Original:  We prove theoretically that MISTR correctly recovers most signals distributed as a Gaussian point process  as long as sparsity is at most O \left( N ^{ D(}\right)  1/2 - \delta)%DIFDELCMD < \MBLOCKRIGHTBRACE%%% }\left( \right) .
Revised:  We prove theoretically that MISTR correctly recovers most signals distributed as a Gaussian point process as long as sparsity is at most O \left( N ^{ D(}\right) 1/2 %DIFDELCMD < \MBLOCKRIGHTBRACE%%% }\left( \right) .
Edit intent: clarity
Original: We present a method to find an optimal policy with respect to a reward function for a discounted Markov Decision Process under general linear temporal logic (LTL) specifications.
Revised: We present a method to find an optimal policy with respect to a reward function for a discounted Markov decision process under general linear temporal logic (LTL) specifications.
Edit intent: fluency
Original:  A forthcoming paper will cover integration over polyhedra and solids bounded by curved surfaces using the SBC scheme.
Edit intent: coherence
Original:  The answer to this question is crucial in guiding the design of future systems and providing access to high-performance resources to a broadened community.
Revised:  The answer to this question is crucial in guiding the design of future systems and democratizing high-performance resources to a broadened community.
Edit intent: clarity
Original:  However, most learning-based methods cannot ensure the bijectivity of the registration, which makes it difficult to establish a 1-1 correspondence between the images.
Edit intent: coherence
Original:  In this paper, we develop a novel method for large deformation image registration by a fusion of  convolutional neural network (CNN) and quasiconformal theory .
Revised:  In this paper, we develop a novel method for large deformation image registration by a fusion of convolutional neural network (CNN) .
Edit intent: clarity
Original:  More specifically, we propose a new fidelity term for incorporating the CNN features in our quasiconformal energy minimization model, which enables us to obtain meaningful registration results without prescribing any landmarks.
Revised:  More specifically, we propose a new fidelity term for incorporating the CNN features in our quasiconformal energy minimization model, which enables us to obtain meaningful registration results without any guidance of prescribed landmarks.
Edit intent: clarity
Original:  Moreover, unlike other learning-based methods, the bijectivity of our method is guaranteed by quasiconformal theory.
Revised:  Moreover, unlike many prior image registration methods, the bijectivity of our method is guaranteed by quasiconformal theory.
Edit intent: clarity
Original:  We thus close a duality gap encountered by Vellekoop and Davis in an infinite horizon version of this problem .
Revised:  We thus close a duality gap encountered by Vellekoop and Davis in a version of this problem .
Edit intent: clarity
Original:  Nearly all the classical tenets of duality theory are found to hold, with the notable exception that the marginal utility of initial wealth at zero is finite.
Revised:  Nearly all the classical tenets of duality theory hold, with the notable exception that the marginal utility of initial wealth at zero is finite.
Edit intent: clarity
Original:  Nearly all the classical tenets of duality theory are found to hold, with the notable exception that the marginal utility of initial wealth at zero is finite.
Revised:  Nearly all the classical tenets of duality theory are found to hold, with the notable exception that marginal utility at zero initial wealth is finite.
Edit intent: fluency
Original:  However, they usually suffer from difficulty in model training and unsatisfactory results.
Revised:  However, they often suffer from difficult training process and unsatisfactory results.
Edit intent: clarity
Original:  In this paper, we propose CVC, a contrastive learning-based adversarial model for voice conversion.
Revised:  In this paper, we propose CVC, a contrastive learning-based adversarial approach for voice conversion.
Edit intent: clarity
Original:  CVC further demonstrates performance improvements in many-to-one voice conversion, enabling the conversion from unseen speakers.
Revised:  CVC further demonstrates superior performance in many-to-one voice conversion, enabling the conversion from unseen speakers.
Edit intent: clarity
Original:  Opinions of users are estimated based on their subscriptions to information sources and we analyze how friendship connections affect the dynamics of these estimations.
Revised:  Opinions of users are estimated based on their subscriptions to information sources and analyze how friendship connections affect the dynamics of these estimations.
Edit intent: fluency
Original: Modern Automated Driving Systems (ADS) rely on fragmented safety measures to handle faults and make driving decisions .
Revised: Modern Automated Driving (AD) systems rely on safety measures to handle faults and make driving decisions .
Edit intent: clarity
Original: Modern Automated Driving Systems (ADS) rely on fragmented safety measures to handle faults and make driving decisions .
Revised: Modern Automated Driving Systems (ADS) rely on fragmented safety measures to handle faults and to bring vehicle to a safe state .
Edit intent: clarity
Original:  To eradicate lethal road accidents, safety engineering has to expand beyond contemporary automotive design practices and patterns .
Revised:  To eradicate lethal road accidents, car manufacturers are constantly introducing new perception as well as control systems. Contemporary automotive design and safety engineering best practices are suitable for analyzing system components in isolation, whereas today's highly complex and interdependent AD systems require novel approach to ensure resilience to multi-point failures .
Edit intent: coherence
Original:  We present a holistic safety concept unifying advanced safety measures for handling multiple-point faults and fault-free hazardous situations associated with system performance limitations.
Revised:  We present a holistic safety concept unifying advanced safety measures for handling multiple-point faults and fault-free hazardous behavior associated with system performance limitations.
Edit intent: clarity
Original:  The behavior of the model is governed by a four-mode degradation policy controlling distributed processors, redundant communication networks, and virtual machines.
Revised:  The model behavior is governed by a four-mode degradation policy controlling distributed processors, redundant communication networks, and virtual machines.
Edit intent: clarity
Original:  To keep the vehicle as safe as possible our degradation policy can reduce driving comfort or ADS availability using additional low-cost driving channels.
Revised:  To keep the vehicle as safe as possible our degradation policy can reduce driving comfort or AD system's availability using additional low-cost driving channels.
Edit intent: clarity
Original:  In conclusion, our formally proven safety concept defines a holistic design pattern for ADS minimizing road fatalities .
Revised:  In conclusion, our formally proven safety concept defines a holistic design pattern for designing AD systems .
Edit intent: clarity
Original:  It applies a novel graph-based approach that was developed to address the challenges in modeling high levels of intermittent generation and sectoral integration.
Revised:  It applies a novel graphbased approach that was developed to address the challenges in modeling high levels of intermittent generation and sectoral integration.
Edit intent: fluency
Original:  To establish this bound, we develop a novel formulation of a probabilistic technique that is easy to apply and may be of independent interest in counting other combinatorial objects .
Revised:  To establish this bound, we state a novel formulation of a probabilistic technique that is easy to apply and may be of independent interest in counting other combinatorial objects .
Edit intent: clarity
Original:  To establish this bound, we develop a novel formulation of a probabilistic technique that is easy to apply and may be of independent interest in counting other combinatorial objects .
Revised:  To establish this bound, we develop a novel formulation of a probabilistic technique that is easy to apply and may be of independent interest in counting other combinatorial objects 
Edit intent: fluency
Original:  According to the results,  articles related to the general principles, lawfulness, and information security have been the most frequently referenced ones.
Revised:  According to the results, three articles related to the general principles, lawfulness, and information security have been the most frequently referenced ones.
Edit intent: clarity
Original:  In this paper, we present a dataset collected from professional and amateur teams in 22 matches in League of Legends video game  . Recorded data include the players' physiological activity, e.g. movements, pulse, saccades, obtained from various sensors, self-reported after-match survey, and in-game data.
Revised:  In this paper, we present a dataset collected from professional and amateur teams in 22 matches in League of Legends video game . Recorded data include the players' physiological activity, e.g. movements, pulse, saccades, obtained from various sensors, self-reported aftermatch survey, and in-game data.
Edit intent: fluency
Original: We give two fully dynamic algorithms that maintain a (1+\varepsilon)-approximation of the weight M of the minimum spanning forest  of an n-node graph G with edges weights in [1,W], for any \varepsilon>0.
Revised: We give two fully dynamic algorithms that maintain a (1+\varepsilon)-approximation of the weight M of a minimum spanning forest of an n-node graph G with edges weights in [1,W], for any \varepsilon>0.
Edit intent: fluency
Original: We give two fully dynamic algorithms that maintain a (1+\varepsilon)-approximation of the weight M of the minimum spanning forest  of an n-node graph G with edges weights in [1,W], for any \varepsilon>0.
Revised: We give two fully dynamic algorithms that maintain a (1+\varepsilon)-approximation of the weight M of the minimum spanning forest (MSF) of an n-node graph G with edges weights in [1,W], for any \varepsilon>0.
Edit intent: clarity
Original:  2006)  shows that it takes \Omega(\log n) time per operation to maintain the exact weight of the MSF that holds even in the unweighted case, i.e. for W=1.
Revised:  2006) which shows that it takes \Omega(\log n) time per operation to maintain the exact weight of the MSF that holds even in the unweighted case, i.e. for W=1.
Edit intent: coherence
Original:  2006)  shows that it takes \Omega(\log n) time per operation to maintain the exact weight of the MSF that holds even in the unweighted case, i.e. for W=1.
Revised:  2006) shows that it takes \Omega(\log n) time per operation to maintain the exact weight of an MSF that holds even in the unweighted case, i.e. for W=1.
Edit intent: fluency
Original:  We further show that any deterministic data structure that dynamically maintains the (1+\varepsilon)-approximate weight of the MSF requires super constant time per operation, if W\geq (\log n)^{\omega_n(1)}. (2)
Revised:  We further show that any deterministic data structure that dynamically maintains the (1+\varepsilon)-approximate weight of an MSF requires super constant time per operation, if W\geq (\log n)^{\omega_n(1)}. (2)
Edit intent: fluency
Original:  Our randomized (Monte-Carlo style) algorithm works with high probability and runs in worst-case O( \frac{1{\varepsilon^4}\log ^3(1{\varepsilon}) ) }  update time if W is not too large, more specifically, if W = O({(m^*)^{1/6}}/{\log  n}), where m^* is the minimum number of edges in the graph throughout all the updates.
Revised:  Our randomized (Monte-Carlo style) algorithm works with high probability and runs in worst-case O( {\varepsilon^4}\log ^3(1{\varepsilon}) ) } update time if W is not too large, more specifically, if W = O({(m^*)^{1/6}}/{\log n}), where m^* is the minimum number of edges in the graph throughout all the updates.
Edit intent: clarity
Original:  Our randomized (Monte-Carlo style) algorithm works with high probability and runs in worst-case O( \frac{1{\varepsilon^4}\log ^3(1{\varepsilon}) ) }  update time if W is not too large, more specifically, if W = O({(m^*)^{1/6}}/{\log  n}), where m^* is the minimum number of edges in the graph throughout all the updates.
Revised:  Our randomized (Monte-Carlo style) algorithm works with high probability and runs in worst-case O( \frac{1{\varepsilon^4}\log ^3(1{\varepsilon}) ) } update time if W = O({(m^*)^{1/6}}/{\log n}), where m^* is the minimum number of edges in the graph throughout all the updates.
Edit intent: coherence
Original:  } We complement this result by showing that for any constant \varepsilon,\alpha>0 and W=n^{\alpha}, any (randomized) data structure that dynamically maintains the weight of the MSF of a graph G with edge weights in [1,W] and W = \Omega(\varepsilon m^*) within a multiplicative factor of (1+\varepsilon) takes \Omega(\log n) time per operation.
Revised:  } We complement this result by showing that for any constant \varepsilon,\alpha>0 and W=n^{\alpha}, any (randomized) data structure that dynamically maintains the weight of an MSF of a graph G with edge weights in [1,W] and W = \Omega(\varepsilon m^*) within a multiplicative factor of (1+\varepsilon) takes \Omega(\log n) time per operation.
Edit intent: fluency
Original:  Empirically, we assess our approach with a synthetic and a real-world datasets;
Revised:  Empirically, we assess our approach with synthetic and real-world datasets;
Edit intent: fluency
Original: We present a new, simple technique to reduce state space sizes in probabilistic model checking when the input model is defined in a  programming formalism like the PRISM modeling language.
Revised: State-of-the-art probabilistic model checkers perform verification on explicit-state Markov models defined in a programming formalism like the PRISM modeling language.
Edit intent: clarity
Original:  This reduction is immediately reflected in the program's operational semantics, enabling more efficient probabilistic model checking.
Revised:  This reduction is immediately reflected in the program's operational semantics, enabling more efficient model checking.
Edit intent: clarity
Original:  Unlike various reduction techniques, our approach is property-directed .
Revised:  Unlike most other reduction techniques, our approach is property-directed .
Edit intent: clarity
Original:  In many cases, it suffices to compute the reduced program only once to analyze it for many different parameter configurations - a rather common workflow in probabilistic model checking . Experiments demonstrate that our simple technique yields a state-space reduction of about one order of magnitude on practically relevant benchmarks.
Revised:  In many cases, it suffices to compute the reduced program only once to analyze it for many different parameter configurations - a rather common workflow in probabilistic model checking . Experiments demonstrate that our simple method yields state-space reduction of about one order of magnitude on practically relevant benchmarks.
Edit intent: clarity
Original: Many applications store their data using structured files  .
Revised: Data management applications store their data using structured files .
Edit intent: clarity
Original:  In order to insert or remove a record in the middle of a structured file, the application needs to shift the positions of existing data  .
Revised:  In order to insert or remove a record in a sorted file, the application needs to shift the positions of existing data .
Edit intent: clarity
Original:  In order to insert or remove a record in the middle of a structured file, the application needs to shift the positions of existing data  .
Revised:  In order to insert or remove a record in the middle of a structured file, the positions of existing data .
Edit intent: clarity
Original:  Alternatively, the out-of-place update approach can admit changes with reduced rewrites .
Revised:  Alternatively, the out-of-place .
Edit intent: clarity
Original:  However, it leads to increased access costs and excessive complexity.
Revised:  However, it causes increased access costs and excessive complexity.
Edit intent: coherence
Original:  This paper presents a novel mechanism for managing file address space, named FlexFile, that enables fast insertion and removal of arbitrary-sized data in a file.
Revised:  This paper presents a novel file abstraction, FlexFile, that enables fast insertion and removal of arbitrary-sized data in a file.
Edit intent: clarity
Original:  Based on FlexFile, applications can perform in-place updates to a file without rewriting existing data, and efficiently manage data on a linear file layout with minimal complexity.
Revised:  Based on FlexFile, applications can perform in-place updates to a file without rewriting existing data, and efficiently manage data on a linear file address space with minimal complexity.
Edit intent: clarity
Original:  Evaluation results show that a simple key-value store built on top of FlexFile can achieve high performance for both reads and writes.
Revised:  Evaluation results show that a simple key-value store built on top of this abstraction can achieve high performance for both reads and writes.
Edit intent: clarity
Original:  As a result, applications often employ extra layers of indirections  to admit changes out-of-place .
Revised:  As a result, applications often employ extra layers of indirections to admit changes out of place .
Edit intent: fluency
Original:  However, it causes increased access costs and excessive complexity.
Revised:  However, this approach leads to increased access cost and excessive complexity.
Edit intent: clarity
Original:  This paper presents a novel file abstraction, FlexFile, that provides a flexible file address space where in-place updates of arbitrary-sized data, such as insertions and removals, can be performed efficiently.
Revised:  This paper presents a novel storage engine that provides a flexible file address space where in-place updates of arbitrary-sized data, such as insertions and removals, can be performed efficiently.
Edit intent: clarity
Original:  This paper presents a novel file abstraction, FlexFile, that provides a flexible file address space where in-place updates of arbitrary-sized data, such as insertions and removals, can be performed efficiently.
Revised:  This paper presents a novel file abstraction, FlexFile, that provides a flexible address space, where in-place updates of arbitrary-sized data, such as insertions and removals, can be performed efficiently.
Edit intent: fluency
Original:  With FlexFile , applications can manage their data in a linear file address space with minimal complexity.
Revised:  With this mechanism , applications can manage their data in a linear file address space with minimal complexity.
Edit intent: clarity
Original:  With FlexFile , applications can manage their data in a linear file address space with minimal complexity.
Revised:  With FlexFile , applications can manage their data in a linear address space with minimal complexity.
Edit intent: fluency
Original:  Extensive evaluation results show that a simple key-value store built on top of this abstraction can achieve high performance for both reads and writes .
Revised:  Extensive evaluations show that a simple key-value store built on top of this abstraction can achieve high performance for both reads and writes .
Edit intent: clarity