wanyu/IteraTeR_v2 huggingface dataset:
Original:  To address this problem, both the local semantic structure in textual space and the  geometric structure in the visual space is explored to learn compact hash codes . Besides, the \ell_{2,1 constraint is imposed on the projection matrices to select relevant and discriminative features from different modal spaces simultaneously .
Revised:  To address this problem, both the local semantic structure in textual space and the locally geometric structure in the visual space is explored to learn compact hash codes . Besides, the \ell_{2,1 constraint is imposed on the projection matrices to select relevant and discriminative features from different modal spaces simultaneously .
Edit intent: fluency
Original:  To address this problem, both the local semantic structure in textual space and the  geometric structure in the visual space is explored to learn compact hash codes . Besides, the \ell_{2,1 constraint is imposed on the projection matrices to select relevant and discriminative features from different modal spaces simultaneously .
Revised:  To address this problem, both the local semantic structure in textual space and the geometric structure in the visual space are explored simultaneously in our framework . Besides, the \ell_{2,1 constraint is imposed on the projection matrices to select relevant and discriminative features from different modal spaces simultaneously .
Edit intent: clarity
Original:  To address this problem, both the local semantic structure in textual space and the  geometric structure in the visual space is explored to learn compact hash codes . Besides, the \ell_{2,1 constraint is imposed on the projection matrices to select relevant and discriminative features from different modal spaces simultaneously .
Revised:  To address this problem, both the local semantic structure in textual space and the geometric structure in the visual space is explored to learn compact hash codes . Besides, the `2;1-norm constraint is imposed on the projection matrices to select relevant and discriminative features from different modal spaces simultaneously .
Edit intent: clarity
Original:  To address this problem, both the local semantic structure in textual space and the  geometric structure in the visual space is explored to learn compact hash codes . Besides, the \ell_{2,1 constraint is imposed on the projection matrices to select relevant and discriminative features from different modal spaces simultaneously .
Revised:  To address this problem, both the local semantic structure in textual space and the geometric structure in the visual space is explored to learn compact hash codes . Besides, the \ell_{2,1 constraint is imposed on the projection matrices to learn the discriminative hash function for each modality .
Edit intent: clarity
Original:  Extensive experiments are performed to evaluate the proposed method , termed Unsupervised Multimodal Hashing (UMH), on the three publicly available datasets and the experimental results show that the proposed UMH can achieve superior performance over the state-of-the-art methods.
Revised:  Extensive experiments are performed to evaluate the proposed method on the three publicly available datasets and the experimental results show that the proposed UMH can achieve superior performance over the state-of-the-art methods.
Edit intent: clarity
Original:  Extensive experiments are performed to evaluate the proposed method , termed Unsupervised Multimodal Hashing (UMH), on the three publicly available datasets and the experimental results show that the proposed UMH can achieve superior performance over the state-of-the-art methods.
Revised:  Extensive experiments are performed to evaluate the proposed method , termed Unsupervised Multimodal Hashing (UMH), on the three publicly available datasets and the experimental results show that our method can achieve superior performance over the state-of-the-art methods.
Edit intent: clarity
Original:  Two temporal discretizations based on Runge-Kutta convolution quadrature are compared: one relying on the incoming wave as input data and one based on its temporal derivative.
Revised:  Two temporal discretizations based on Runge-Kutta convolution quadrature are compared: one relies on the incoming wave as input data and one based on its temporal derivative.
Edit intent: fluency
Original:  Two temporal discretizations based on Runge-Kutta convolution quadrature are compared: one relying on the incoming wave as input data and one based on its temporal derivative.
Revised:  Two temporal discretizations based on Runge-Kutta convolution quadrature are compared: one relying on the incoming wave as input data and the other one is based on its temporal derivative.
Edit intent: clarity
Original:  For several well-studied important graphical models, including proper graph coloring, hardcore model, and Ising model, the condition for linear speedup is weaker than the respective uniqueness (mixing) conditions.
Revised:  For several well-studied important graphical models, including proper graph coloring, hardcore model, and Ising model, our condition for linear speedup is weaker than the respective uniqueness (mixing) conditions.
Edit intent: clarity
Original:  The novel idea in our algorithm is to resolve updates in advance: the local Metropolis filters can  be executed correctly before the full information about neighboring spins is available.
Revised:  The novel idea in our algorithm is to resolve updates in advance: the local Metropolis filters can often be executed correctly before the full information about neighboring spins is available.
Edit intent: clarity
Original:  This achieves optimal parallelism of Metropolis processes without introducing any bias.
Revised:  This achieves optimal parallelism without introducing any bias.
Edit intent: clarity
Original: In this work, entropy-stable schemes are formulated for the  compressible Euler equations with multiple species . Entropy-conservative (EC) and Entropy-Stable (ES ) fluxes based on upwind dissipation are derived.
Revised: In this work, Entropy-Stable (ES) schemes are formulated for the compressible Euler equations with multiple species . Entropy-conservative (EC) and Entropy-Stable (ES ) fluxes based on upwind dissipation are derived.
Edit intent: fluency
Original: In this work, entropy-stable schemes are formulated for the  compressible Euler equations with multiple species . Entropy-conservative (EC) and Entropy-Stable (ES ) fluxes based on upwind dissipation are derived.
Revised: In this work, entropy-stable schemes are formulated for the compressible Euler equations . Entropy-conservative (EC) and Entropy-Stable (ES ) fluxes based on upwind dissipation are derived.
Edit intent: clarity
Original: In this work, entropy-stable schemes are formulated for the  compressible Euler equations with multiple species . Entropy-conservative (EC) and Entropy-Stable (ES ) fluxes based on upwind dissipation are derived.
Revised: In this work, entropy-stable schemes are formulated for the compressible Euler equations with multiple species . Entropy-conservative (EC) and ES fluxes are derived.
Edit intent: coherence
Original:  Particular attention is paid to the limit case of zero partial densities where the  entropy variables are no longer defined  .
Revised:  Particular attention is paid to the limit case of zero partial densities where the entropy variables are no longer defined ) .
Edit intent: fluency
Original:  However, this does not preclude the issue of preserving the positivity of partial densities and pressure . Numerical experiments are performed on one-dimensional and two-dimensional interface and shock-interface problems.
Revised:  However, this does not prevent the numerical solution from developing negative partial densities or internal energy . Numerical experiments are performed on one-dimensional and two-dimensional interface and shock-interface problems.
Edit intent: clarity
Original:  However, this does not preclude the issue of preserving the positivity of partial densities and pressure . Numerical experiments are performed on one-dimensional and two-dimensional interface and shock-interface problems.
Revised:  However, this does not preclude the issue of preserving the positivity of partial densities and pressure . Numerical experiments were performed on one-dimensional and two-dimensional interface and shock-interface problems.
Edit intent: fluency
Original:  While the present scheme exactly preserves stationary interfaces , it generates on moving ones oscillations that are typically observed with conservative schemes  [ .
Revised:  The present scheme exactly preserves stationary interfaces , it generates on moving ones oscillations that are typically observed with conservative schemes [ .
Edit intent: coherence
Original:  While the present scheme exactly preserves stationary interfaces , it generates on moving ones oscillations that are typically observed with conservative schemes  [ .
Revised:  While the present scheme exactly preserves stationary interfaces . On moving interfaces it produces pressure anomalies typically observed with conservative schemes [ .
Edit intent: clarity
Original:  On moving interfaces  it produces pressure anomalies typically observed with conservative schemes [Karni, J. Comput.
Revised:  On moving interfaces , it produces pressure anomalies typically observed with conservative schemes [Karni, J. Comput.
Edit intent: fluency
Original:  A method for detecting chaos from empirical measurements should therefore be a key feature of the biologist's toolkit.
Revised:  A method for detecting chaos from empirical measurements should therefore be a key component of the biologist's toolkit.
Edit intent: clarity
Original:  As a first-pass application of our method, we provide evidence in favor of the hypothesis that heart rate variability is not chaotic  , and instead reflects a nonlinear stochastic process in both health and disease.
Revised:  As a first-pass application of our pipeline, we show that heart rate variability is not chaotic , and instead reflects a nonlinear stochastic process in both health and disease.
Edit intent: clarity
Original:  Our tool is easy-to-use , fully automated, and freely available online .
Revised:  Our tool is easy-to-use and freely available online .
Edit intent: clarity
Original:  Our tool is easy-to-use , fully automated, and freely available online .
Revised:  Our tool is easy-to-use , fully automated, and freely available .
Edit intent: clarity
Original:  UniversalQCompiler allows the compilation of any isometry (in particular, it can be used for unitaries and state preparation), quantum channel or positive-operator valued measure (POVM)  , although the run time becomes prohibitive for large numbers of qubits.
Revised:  UniversalQCompiler allows the compilation of any isometry (in particular, it can be used for unitaries and state preparation), quantum channel , positive-operator valued measure (POVM) , although the run time becomes prohibitive for large numbers of qubits.
Edit intent: fluency
Original: We present a new inductive proof rule for reasoning about lower bounds on weakest preexpectations, i.e., expected values of random variables after execution of a probabilistic loop .
Revised: We present a new inductive rule for verifying lower bounds on weakest preexpectations, i.e., expected values of random variables after execution of a probabilistic loop .
Edit intent: clarity
Original: We present a new inductive proof rule for reasoning about lower bounds on weakest preexpectations, i.e., expected values of random variables after execution of a probabilistic loop .
Revised: We present a new inductive proof rule for reasoning about lower bounds on expected values of random variables after execution of a probabilistic loop .
Edit intent: clarity
Original:  Our rule is simple in the sense that the semantics of the loop needs to be applied to a candidate lower bound only a finite number of times in order to verify that the candidate is indeed a lower bound.
Revised:  Our rule is simple in the sense that loop body semantics need to be applied to a candidate lower bound only a finite number of times in order to verify that the candidate is indeed a lower bound.
Edit intent: clarity
Original:  Our rule is simple in the sense that the semantics of the loop needs to be applied to a candidate lower bound only a finite number of times in order to verify that the candidate is indeed a lower bound.
Revised:  Our rule is simple in the sense that the semantics of the loop needs to be applied only finitely often in order to verify that the candidate is indeed a lower bound.
Edit intent: clarity
Original:  We do not require finding the limit of a sequence as  many previous rules did.
Revised:  We do not require finding the limit of a sequence as in many previous rules did.
Edit intent: fluency
Original:  As a new approach to tackling this task, the notion of a Golden Angle Linogram Fourier Domain (GALFD)  is presented, together with a computationally fast and accurate tool, named Golden Angle Linogram Evaluation (GALE), for the approximation of the DSFT at points of a GALFD.
Revised:  As a new approach to this task, the notion of a Golden Angle Linogram Fourier Domain (GALFD) is presented, together with a computationally fast and accurate tool, named Golden Angle Linogram Evaluation (GALE), for the approximation of the DSFT at points of a GALFD.
Edit intent: clarity
Original:  As a new approach to tackling this task, the notion of a Golden Angle Linogram Fourier Domain (GALFD)  is presented, together with a computationally fast and accurate tool, named Golden Angle Linogram Evaluation (GALE), for the approximation of the DSFT at points of a GALFD.
Revised:  As a new approach to tackling this task, the Golden Angle Linogram Fourier Domain (GALFD) is presented, together with a computationally fast and accurate tool, named Golden Angle Linogram Evaluation (GALE), for the approximation of the DSFT at points of a GALFD.
Edit intent: clarity
Original:  As a new approach to tackling this task, the notion of a Golden Angle Linogram Fourier Domain (GALFD)  is presented, together with a computationally fast and accurate tool, named Golden Angle Linogram Evaluation (GALE), for the approximation of the DSFT at points of a GALFD.
Revised:  As a new approach to tackling this task, the notion of a Golden Angle Linogram Fourier Domain (GALFD) , is presented, together with a computationally fast and accurate tool, named Golden Angle Linogram Evaluation (GALE), for the approximation of the DSFT at points of a GALFD.
Edit intent: fluency
Original:  The Linogram Fourier Domain (LFD) comprises the intersections of concentric squares with radial lines in an arrangement that facilitates computational efficiency .
Revised:  The Linogram Fourier Domain (LFD) , which is efficient and accurate .
Edit intent: clarity
Original:  A limitation of linograms is that embedding of an LFD into a larger one requires many extra points, typically at least doubling the domain's cardinality.
Revised:  A limitation of linograms is that embedding an LFD into a larger one requires many extra points, typically at least doubling the domain's cardinality.
Edit intent: fluency
Original:  A limitation of linograms is that embedding of an LFD into a larger one requires many extra points, typically at least doubling the domain's cardinality.
Revised:  A limitation of linograms is that embedding of an LFD into a larger one requires many extra points, at least doubling the domain's cardinality.
Edit intent: coherence
Original:  By deriving an explicit representation of the quadrature error, we prove that this finite difference scheme is fourth order accurate in the discrete 2-norm for an elliptic equation -
Revised:  We prove that this finite difference scheme is fourth order accurate in the discrete 2-norm for an elliptic equation -
Edit intent: coherence
Original: \nabla ( \mathbf a \nabla u) +\mathbf b\cdot \nabla u+c u=f with Dirichlet boundary conditions, which is a superconvergence result of function values . \% Keywords:%DIFDELCMD < {%%% Superconvergence, fourth order accurate discrete Laplacian, elliptic equations, finite difference implementation of finite element method, 3\times 3 Gauss-Lobatto quadrature .
Revised: \nabla ( \mathbf a \nabla u) +\mathbf b\cdot \nabla u+c u=f with Dirichlet boundary conditions, which is a superconvergence result of function values \% Keywords:%DIFDELCMD < {%%% Superconvergence, fourth order accurate discrete Laplacian, elliptic equations, finite difference implementation of finite element method, 3\times 3 Gauss-Lobatto quadrature .
Edit intent: fluency
Original: \nabla ( \mathbf a \nabla u) +\mathbf b\cdot \nabla u+c u=f with Dirichlet boundary conditions, which is a superconvergence result of function values . \% Keywords:%DIFDELCMD < {%%% Superconvergence, fourth order accurate discrete Laplacian, elliptic equations, finite difference implementation of finite element method, 3\times 3 Gauss-Lobatto quadrature .
Revised: \nabla ( \mathbf a \nabla u) +\mathbf b\cdot \nabla u+c u=f with Dirichlet boundary conditions, which is a superconvergence result of function values . %DIFDELCMD < {%%% Superconvergence, fourth order accurate discrete Laplacian, elliptic equations, finite difference implementation of finite element method, 3\times 3 Gauss-Lobatto quadrature .
Edit intent: coherence
Original:  Here, we analytically search for  strategies that enforce a liner payoff relationship under observation errors in the RPD game.
Revised:  Here, we analytically search for all strategies that enforce a liner payoff relationship under observation errors in the RPD game.
Edit intent: clarity
Original:  Here, we analytically search for  strategies that enforce a liner payoff relationship under observation errors in the RPD game.
Revised:  Here, we analytically search for strategies that enforce a linear payoff relationship under observation errors in the RPD game.
Edit intent: fluency
Original:  In recent studies, mRNA-mRNA interaction instances have been observed, where both partners appear in the same KEGG pathway without any direct link between them, or any prior knowledge in the literature about their relationship.
Revised:  In recent studies, mRNA-mRNA interaction instances have been observed, where both partners appear in the same pathway without any direct link between them, or any prior knowledge in the literature about their relationship.
Edit intent: clarity
Original:  In recent studies, mRNA-mRNA interaction instances have been observed, where both partners appear in the same KEGG pathway without any direct link between them, or any prior knowledge in the literature about their relationship.
Revised:  In recent studies, mRNA-mRNA interaction instances have been observed, where both partners appear in the same KEGG pathway without any direct link between them, or any prior knowledge about their relationship.
Edit intent: clarity
Original:  Our model allows for both elastic and viscous, bending and twisting deformations and describes the evolution of the midline curve of the rod as well as an orthonormal frame which full determines the rod's three dimensional geometry.
Revised:  Our model allows for both elastic and viscous, bending and twisting deformations and describes the evolution of the midline curve of the rod as well as an orthonormal frame which fully determines the rod's three dimensional geometry.
Edit intent: fluency
Original:  The Domain Specification allows checking of the compliance of annotations against corresponding domain-specific constraints.
Revised:  The Domain Specifications allow checking the compliance of annotations against corresponding domain-specific constraints.
Edit intent: clarity
Original:  The validation mechanism will check for errors and inconsistencies in data between the content of  analyzed schema.org annotations and the content of the web pages that were annotated .
Revised:  The validation mechanism will detect errors and inconsistencies in data between the content of analyzed schema.org annotations and the content of the web pages that were annotated .
Edit intent: clarity
Original:  The validation mechanism will check for errors and inconsistencies in data between the content of  analyzed schema.org annotations and the content of the web pages that were annotated .
Revised:  The validation mechanism will check for errors and inconsistencies between the content of analyzed schema.org annotations and the content of the web pages that were annotated .
Edit intent: clarity
Original:  The validation mechanism will check for errors and inconsistencies in data between the content of  analyzed schema.org annotations and the content of the web pages that were annotated .
Revised:  The validation mechanism will check for errors and inconsistencies in data between the content of the analyzed schema.org annotations and the content of the web pages that were annotated .
Edit intent: fluency
Original:  Our approach relies on abstract interpretation and checks whether an overapproximating abstraction of L_1, obtained by successively overapproximating the Kleene iterates of its least fixpoint characterization, is included in L_2.
Revised:  Our approach relies on abstract interpretation and checks whether an overapproximating abstraction of L_1, obtained by overapproximating the Kleene iterates of its least fixpoint characterization, is included in L_2.
Edit intent: clarity
Original:  We show that a language inclusion problem is decidable whenever this overapproximating abstraction satisfies a completeness condition (i.e.  its loss of precision causes no false alarm) and prevents infinite ascending chains (i.e.  it guarantees termination of least fixpoint computations).
Revised:  We show that a language inclusion problem is decidable whenever this overapproximating abstraction satisfies a completeness condition (i.e. , its loss of precision causes no false alarm) and prevents infinite ascending chains (i.e. it guarantees termination of least fixpoint computations).
Edit intent: fluency
Original:  We show that a language inclusion problem is decidable whenever this overapproximating abstraction satisfies a completeness condition (i.e.  its loss of precision causes no false alarm) and prevents infinite ascending chains (i.e.  it guarantees termination of least fixpoint computations).
Revised:  We show that a language inclusion problem is decidable whenever this overapproximating abstraction satisfies a completeness condition (i.e. its loss of precision causes no false alarm) and prevents infinite ascending chains (i.e. , it guarantees termination of least fixpoint computations).
Edit intent: fluency
Original:  Such overapproximating abstraction function on languages can be defined using quasiorder relations on words  where the abstraction gives the language of all  words "greater than or equal to" a given input word for that quasiorder.
Revised:  This overapproximating abstraction of languages can be defined using quasiorder relations on words where the abstraction gives the language of all words "greater than or equal to" a given input word for that quasiorder.
Edit intent: clarity
Original:  Such overapproximating abstraction function on languages can be defined using quasiorder relations on words  where the abstraction gives the language of all  words "greater than or equal to" a given input word for that quasiorder.
Revised:  Such overapproximating abstraction function on languages can be defined using quasiorder relations on words , where the abstraction gives the language of all words "greater than or equal to" a given input word for that quasiorder.
Edit intent: fluency
Original:  Such overapproximating abstraction function on languages can be defined using quasiorder relations on words  where the abstraction gives the language of all  words "greater than or equal to" a given input word for that quasiorder.
Revised:  Such overapproximating abstraction function on languages can be defined using quasiorder relations on words where the abstraction gives the language of all the words "greater than or equal to" a given input word for that quasiorder.
Edit intent: fluency