wanyu/IteraTeR_v2 huggingface dataset:
Original:  The generalized notion of symmetry can assume at every point in space a different direction , as long as it is possible to exhibit the unidirectional symmetry in some coordinate representation.
Revised:  The generalized notion of symmetry can assume at every point in space a different direction , as long as it is possible to exhibit unidirectional symmetry in some coordinate representation.
Edit intent: clarity
Original:  This can be achieved  e.g.  when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions  .
Revised:  This can be achieved , e.g. when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions .
Edit intent: fluency
Original:  This can be achieved  e.g.  when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions  .
Revised:  This can be achieved e.g. , when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions .
Edit intent: fluency
Original:  This can be achieved  e.g.  when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions  .
Revised:  This can be achieved e.g. when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions .
Edit intent: fluency
Original:  This can be achieved  e.g.  when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions  .
Revised:  This can be achieved e.g. when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions .
Edit intent: clarity
Original:  This can be achieved  e.g.  when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions  .
Revised:  This can be achieved e.g. when the symmetry direction is given by the direct construction out of a unidirectional symmetry via a coordinate transformation , which poses a demand on the boundary value problem that is investigated . Coordinate independent formulations of boundary value problems do exist but turning that theory into practice demands a pedantic process of backtranslation to the computational notions . This becomes even more challenging when multiple chained transformations are necessary for propagating a symmetry .
Edit intent: coherence
Original:  Also, we derive the exact relation for calculating the moments of p(t) based on known moments of p^0(t).
Revised:  Also, we derive exact relation for calculating the moments of p(t) based on known moments of p^0(t).
Edit intent: coherence
Original:  This fact contributes to the discussion about the possibility to model neuronal activity with Poisson process, supporting the 'no' answer.
Revised:  This fact contributes to the discussion about the possibility to model neuronal activity with Poisson process, supporting the "no" answer.
Edit intent: fluency
Original:  A generic error estimate has been established for the HDM in L^2, discrete H^1 and H^2  norms based on three properties in literature.
Revised:  A generic error estimate has been established for the HDM in L^2, H^1 and H^2 norms based on three properties in literature.
Edit intent: clarity
Original: The framework of Hessian discretisation method (HDM) for fourth order linear elliptic equations enables us to develop a study that encompasses numerous classical methods such as finite element methods (conforming and non-conforming) , finite volume methods , and others such as methods based on gradient recovery operators.
Revised: The Hessian discretisation method (HDM) for fourth order linear elliptic equations enables us to develop a study that encompasses numerous classical methods such as finite element methods (conforming and non-conforming) , finite volume methods , and others such as methods based on gradient recovery operators.
Edit intent: clarity
Original: The framework of Hessian discretisation method (HDM) for fourth order linear elliptic equations enables us to develop a study that encompasses numerous classical methods such as finite element methods (conforming and non-conforming) , finite volume methods , and others such as methods based on gradient recovery operators.
Revised: The framework of Hessian discretisation method (HDM) for fourth order linear elliptic equations enables us to develop a study that encompasses numerous classical methods such as finite element methods , finite volume methods , and others such as methods based on gradient recovery operators.
Edit intent: coherence
Original: The framework of Hessian discretisation method (HDM) for fourth order linear elliptic equations enables us to develop a study that encompasses numerous classical methods such as finite element methods (conforming and non-conforming) , finite volume methods , and others such as methods based on gradient recovery operators.
Revised: The framework of Hessian discretisation method (HDM) for fourth order linear elliptic equations enables us to develop a study that encompasses numerous classical methods such as finite element methods (conforming and non-conforming) , finite volume methods and methods based on gradient recovery operators.
Edit intent: coherence
Original:  A generic error estimate has been established for the HDM in L^2, H^1 and H^2-like norms based on three properties in literature.
Revised:  A generic error estimate has been established in L^2, H^1 and H^2-like norms based on three properties in literature.
Edit intent: clarity
Original:  A generic error estimate has been established for the HDM in L^2, H^1 and H^2-like norms based on three properties in literature.
Revised:  A generic error estimate has been established for the HDM in L^2, H^1 and H^2-like norms in literature.
Edit intent: clarity
Original:  In this paper, we derive improved L^2 and H^1 error estimates in the framework of HDM and apply it to various schemes.
Revised:  In this paper, we establish improved L^2 and H^1 error estimates in the framework of HDM and apply it to various schemes.
Edit intent: clarity
Original:  In this paper, we derive improved L^2 and H^1 error estimates in the framework of HDM and apply it to various schemes.
Revised:  In this paper, we derive improved L^2 and H^1 error estimates in the framework of HDM and illustrate it on various schemes.
Edit intent: clarity
Original:  Since an improved L^2 estimate is not expected in general for finite volume method (FVM), here we consider a modified FVM  by changing the quadrature of the source term and prove a superconvergence result  for this modified FVM.
Revised:  Since an improved L^2 estimate is not expected in general for finite volume method (FVM), a modified FVM by changing the quadrature of the source term and prove a superconvergence result for this modified FVM.
Edit intent: coherence
Original:  Since an improved L^2 estimate is not expected in general for finite volume method (FVM), here we consider a modified FVM  by changing the quadrature of the source term and prove a superconvergence result  for this modified FVM.
Revised:  Since an improved L^2 estimate is not expected in general for finite volume method (FVM), here we consider a modified FVM by changing the quadrature of the source term and a superconvergence result for this modified FVM.
Edit intent: coherence
Original:  Since an improved L^2 estimate is not expected in general for finite volume method (FVM), here we consider a modified FVM  by changing the quadrature of the source term and prove a superconvergence result  for this modified FVM.
Revised:  Since an improved L^2 estimate is not expected in general for finite volume method (FVM), here we consider a modified FVM by changing the quadrature of the source term and prove a superconvergence result is proved for this modified FVM.
Edit intent: clarity
Original: Background: Multi-label text classificationis one type of text classification where each text can be assigned with one or more labels.
Revised: In multi-label text classification, each textual document can be assigned with one or more labels.
Edit intent: clarity
Original:  Multi-label text classification , which has broad applications in biomedical domain, is often considered harder than other types of text classification , as each textual document can be assigned with indeterminate number of labels.
Revised:  Due to this nature, the multi-label text classification task is often considered harder than other types of text classification , as each textual document can be assigned with indeterminate number of labels.
Edit intent: clarity
Original: Methods: In this work, we propose ML-Net, a novel end-to-end deep learning framework, for multi-label classification of biomedical tasks.
Revised: Methods: In this work, we propose ML-Net, a novel deep learning framework, for multi-label classification of biomedical tasks.
Edit intent: clarity
Original: Methods: In this work, we propose ML-Net, a novel end-to-end deep learning framework, for multi-label classification of biomedical tasks.
Revised: Methods: In this work, we propose ML-Net, a novel end-to-end deep learning framework, for multi-label classification of biomedical texts. As an end-to-end system,
Edit intent: clarity
Original:  ML-Net combines the label prediction network with a label count prediction network, which can determine the output labels based on both label confidence scores and document context in an end-to-end manner.
Revised:  ML-Net combines a label prediction network with a label count prediction network, which can determine the output labels based on both label confidence scores and document context in an end-to-end manner.
Edit intent: fluency
Original:  ML-Net combines the label prediction network with a label count prediction network, which can determine the output labels based on both label confidence scores and document context in an end-to-end manner.
Revised:  ML-Net combines the label prediction network with an automated label count prediction network, which can determine the output labels based on both label confidence scores and document context in an end-to-end manner.
Edit intent: clarity
Original:  The codes are available at: URL Results Conclusions: The deep neural network based approaches showed superiority compared to traditional machine learning algorithms in multi-label classification of biomedical texts.
Revised:  The codes are available at: URL Results . Our benchmarking results show that ML-Net compares favorably to the state-of-the-art methods in multi-label classification of biomedical texts.
Edit intent: clarity
Original:  Deep neural networks alleviate human efforts for feature engineering , and avoid building individual classifiers for each label.
Revised:  ML-NET is also shown to be robust when evaluated on different text genres in biomedicine. Unlike traditional machine learning methods, ML-Net does not require human efforts in feature engineering and is highly efficient and scalable approach to tasks with a large set of labels (no need to build individual classifiers for each label.
Edit intent: coherence
Original:  Our idea is to introduce an auxiliary variable that leads to a " redundant" system, which is then solved with a three-stage update: prediction, correction, and projection.
Revised:  Our idea is to introduce an auxiliary variable that leads to a `` redundant" system, which is then solved with a three-stage update: prediction, correction, and projection.
Edit intent: fluency
Original:  Our bisect algorithm pinpointed the problematic function with as little as 14 program executions.
Revised:  Our bisect algorithm pinpointed the problematic function over as little as 14 program executions.
Edit intent: clarity
Original:  The MWC mechanism satisfies several desirable properties, including false-name-proofness, individual rationality, budget constraint, monotonicity, and sub-graph constraint.
Revised:  The MWC mechanism satisfies several desirable properties, including false-name-proofness, individual rationality, budget constraint, monotonicity, and subgraph constraint.
Edit intent: fluency
Original:  Both models for the physical and data-link layers are implemented in a NS3 module.
Revised:  Both models for the physical and data-link layers are implemented in a ns-3 module.
Edit intent: fluency
Original:  Behavior and performance of this module are studied by way of a set of experiments that show the consistency of NS3 simulations and measurements on a real LoRa testbed.
Revised:  Behavior and performance of this module are studied by way of a set of experiments that show the consistency of ns-3 simulation and measurements on a real LoRa testbed.
Edit intent: fluency
Original:  As our main results we show that robust output tracking and disturbance rejection for this class of PDE models can be achieved using a finite-dimensional controller and present algorithms for construction of two different internal model based robust controllers.
Revised:  As our main results we show that robust output tracking and disturbance rejection for our class of systems can be achieved using a finite-dimensional controller and present algorithms for construction of two different internal model based robust controllers.
Edit intent: clarity
Original:  The controller parameters are chosen based on Galerkin approximations of the original PDE system and employ balanced truncation to reduce the orders of the controllers.
Revised:  The controller parameters are chosen based on a Galerkin approximation of the original PDE system and employ balanced truncation to reduce the orders of the controllers.
Edit intent: fluency
Original:  In the second part of the paper we design controllers for robust output tracking and disturbance rejection for a 1D reaction-diffusion equation with boundary disturbances, a 2D diffusion-convection equation, and a damped 1D beam equation  .
Revised:  In the second part of the paper we design controllers for robust output tracking and disturbance rejection for a 1D reaction-diffusion equation with boundary disturbances, a 2D diffusion-convection equation, and a 1D beam equation .
Edit intent: clarity
Original:  An analogy can be drawn to the case of sets of higher order tensors not being closed under canonical polyadic (CP) tensor rank, rendering the best low-rank tensor approximation unsolvable (  Silva and Lim, 2008) and hence encourage the use of multilinear tensor rank (De Lathauwer, 2000).
Revised:  An analogy can be drawn to the case of sets of higher order tensors not being closed under canonical polyadic (CP) tensor rank, rendering the best low-rank tensor approximation unsolvable ( De Silva and Lim, 2008) and hence encourage the use of multilinear tensor rank (De Lathauwer, 2000).
Edit intent: fluency
Original:  For 7 of these data sets , the performances of SCOREand SCORE + are similar , but for the other 3 data sets ( Polbooks, Simmons, Caltech)  , SCORE+ provides a significant improvement .
Revised:  For 7 of these data sets , the performances of SCOREand SCORE + are similar , but for the other 3 data sets ( Simmons, Caltech) , SCORE+ provides a significant improvement .
Edit intent: clarity
Original: Hardware-centric security threats have emerged in every stage of the IC supply chain.
Revised: The era of widespread globalization has led to the emergence of hardware-centric security threats throughout the IC supply chain.
Edit intent: clarity
Original:  Leveraging these  properties, dynamic camouflaging is resilient to state-of-the-art attacks such as SAT, approximate SAT (AppSAT) and HackTest, and can further impede side-channel analysis.
Revised:  Leveraging these unique properties, dynamic camouflaging is resilient to state-of-the-art attacks such as SAT, approximate SAT (AppSAT) and HackTest, and can further impede side-channel analysis.
Edit intent: clarity
Original:  Leveraging these  properties, dynamic camouflaging is resilient to state-of-the-art attacks such as SAT, approximate SAT (AppSAT) and HackTest, and can further impede side-channel analysis.
Revised:  Leveraging these properties, dynamic camouflaging is shown to be resilient against state-of-the-art attacks such as SAT, approximate SAT (AppSAT) and HackTest, and can further impede side-channel analysis.
Edit intent: clarity
Original:  For MESO-based full-chip dynamic camouflagingwe anticipate massive improvements in power(7, 400x), performance(5.9x) ,  and area (73x) over spin- and CMOS-based camouflaging .
Revised:  For MESO-based camouflaging, we also anticipate massive savings in power , and area (73x) over spin- and CMOS-based camouflaging .
Edit intent: clarity
Original:  For MESO-based full-chip dynamic camouflagingwe anticipate massive improvements in power(7, 400x), performance(5.9x) ,  and area (73x) over spin- and CMOS-based camouflaging .
Revised:  For MESO-based full-chip dynamic camouflagingwe anticipate massive improvements in power(7, 400x), performance(5.9x) , performance, and area (73x) over spin- and CMOS-based camouflaging .
Edit intent: fluency
Original:  We outline the prospects of dynamic camouflaging for error-tolerant image processing applications .
Revised:  We outline the prospects of dynamic camouflaging for error-tolerant image processing IP .
Edit intent: clarity
Original:  A sequence of agents each chooses an action with the goal of maximizing payoff given estimates of the state of the world .
Revised:  A sequence of agents each chooses an action with the goal of maximizing the payoff .
Edit intent: clarity
Original:  A disclosure policy tries to coordinate the choices of the agents by sending messages about the history of past actions.
Revised:  A disclosure policy coordinates the choices of the agents by sending messages about the history of past actions.
Edit intent: clarity
Original:   The goal of the algorithm is to minimize the regret of the  action sequence.
Revised:  The goal of the algorithm is to minimize the regret of the chosen action sequence.
Edit intent: clarity
Original:   In this paper, we study a particular class of disclosure policies that use messages, called unbiased subhistories, consisting of the actions and rewards from by a subsequence of past agents, where the subsequence is chosen ahead of time.
Revised:  In this paper, we study a particular class of disclosure policies that use messages, called unbiased subhistories, consisting of the actions and rewards from a subsequence of past agents, where the subsequence is chosen ahead of time.
Edit intent: fluency
Original: In a social learning setting, there is a set of  actions, each of which has a fixed but unknown expected payoff.
Revised: In a social learning setting, there is a set of possible actions, each of which has a fixed but unknown expected payoff.
Edit intent: clarity
Original:  A disclosure policy coordinates the choices of the agents by sending messages about the history of past actions .
Revised:  A disclosure policy sends messages about the history of past actions .
Edit intent: clarity
Original:  A disclosure policy coordinates the choices of the agents by sending messages about the history of past actions .
Revised:  A disclosure policy coordinates the choices of the agents by sending messages about the rewards of previously-chosen actions to arriving agents .
Edit intent: clarity
Original:  These messages can alter agents' incentives towards "exploration" , taking potentially sub-optimal actions for the sake of learning more about their rewards.
Revised:  These messages can alter agents' incentives towards exploration , taking potentially sub-optimal actions for the sake of learning more about their rewards.
Edit intent: fluency
Original:  The goal of the disclosure policy is to incentivize exploration so as to minimize the regret of the chosen action sequence.
Edit intent: coherence
Original:  We focus on messages, called unbiased subhistories, consisting of the actions and rewards from a subsequence of past agents , where the subsequence is chosen ahead of time  .
Revised:  We focus on messages, called unbiased subhistories, consisting of the actions and rewards from a subsequence of past agents . Each subsequence is chosen ahead of time .
Edit intent: clarity
Original:   Our main result is a disclosure policy using unbiased, transitive subhistories that obtains regret O( \sqrt{\#rounds We also exhibit simpler  policies with higher, but still sublinear, regret.
Revised:  Our main result is an order-based disclosure policy that obtains regret O( \sqrt{\#rounds We also exhibit simpler policies with higher, but still sublinear, regret.
Edit intent: clarity
Original:  These policies can be interpreted as dividing a sublinear number of agents into constant-sized focus groups, whose histories are then fed to future agents.
Revised:  These policies can be interpreted as dividing a sublinear number of agents into constant-sized focus groups, whose histories are then revealed to future agents.
Edit intent: clarity
Original: We study the design of rating systems that incentivize (more) efficient social learning among self-interested agents . Agents arrive sequentially and are presented with a set of possible actions, each of which yields a positive reward with an unknown probability.
Revised: We study the design of rating systems that incentivize efficient social learning among self-interested agents . Agents arrive sequentially and are presented with a set of possible actions, each of which yields a positive reward with an unknown probability.
Edit intent: clarity