wanyu/IteraTeR_v2 huggingface dataset:
Original:  This work presents struc2vec, a novel and flexible framework for learning latent representations of node's structural identity . struc2vec assesses structural similarity without using node or edge attributes, uses a hierarchy to measure  similarity at different scales, and constructs a multilayer graph to encode the structural similarities and generate structural context for nodes.
Revised:  This work presents struc2vec, a novel and flexible framework for learning latent representations of node's structural identity . struc2vec assesses structural similarity without using node or edge attributes, uses a hierarchy to measure node similarity at different scales, and constructs a multilayer graph to encode the structural similarities and generate structural context for nodes.
Edit intent: fluency
Original:  This work presents struc2vec, a novel and flexible framework for learning latent representations of node's structural identity . struc2vec assesses structural similarity without using node or edge attributes, uses a hierarchy to measure  similarity at different scales, and constructs a multilayer graph to encode the structural similarities and generate structural context for nodes.
Revised:  This work presents struc2vec, a novel and flexible framework for learning latent representations of node's structural identity . struc2vec assesses structural similarity without using node or edge attributes, uses a hierarchy to measure similarity at different scales, and constructs a multilayer graph to encode structural similarities and generate structural context for nodes.
Edit intent: coherence
Original: Rational filter functions  improve convergence of contour-based eigensolvers, a popular algorithm family for the solution of the interior eigenvalue problem.
Revised: Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popular algorithm family for the solution of the interior eigenvalue problem.
Edit intent: clarity
Original: Rational filter functions  improve convergence of contour-based eigensolvers, a popular algorithm family for the solution of the interior eigenvalue problem.
Revised: Rational filter functions improve convergence of contour-based eigensolvers, a popular family of algorithms for the solution of the interior eigenvalue problem.
Edit intent: fluency
Original:  We present an optimization method of these rational filters in the Least-Squares sense.
Revised:  We present a framework for the optimization of rational filters based on a non-convex weighted Least-Squares sense.
Edit intent: clarity
Original:  Our filters out-perform existing filters on a large and representative problem set , which we show on the example of FEAST.
Revised:  Our filters out-perform existing ones on a large and representative problem set , which we show on the example of FEAST.
Edit intent: clarity
Original:  (1) a formulation of the optimization problem that exploits symmetries of the filter function in the Hermitian case , (2)
Revised:  (1) a set up of the optimization problem that exploits symmetries of the filter function in the Hermitian case , (2)
Edit intent: clarity
Original:  (1) a formulation of the optimization problem that exploits symmetries of the filter function in the Hermitian case , (2)
Revised:  (1) a formulation of the optimization process that exploits symmetries of the filter function in the Hermitian case , (2)
Edit intent: clarity
Original:   gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Revised:  gradient descent and Levenberg-Marquardt algorithms that exploits the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Edit intent: clarity
Original:   gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Revised:  gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to select the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Edit intent: fluency
Original:   gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Revised:  gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position for the optimization algorithms that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Edit intent: clarity
Original:   gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Revised:  gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces effective filters , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Edit intent: clarity
Original:   gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Revised:  gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) a constrained optimization scheme that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Edit intent: clarity
Original:   gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with desirable properties , e.g., poles of the rational filter function with large imaginary parts which benefit convergence of Krylov based solvers for the arising linear system solves .
Revised:  gradient descent and Levenberg-Marquardt solvers that exploit the symmetries, (3) a method to choose the starting position of the optimization that reliably produces good results , (4) constrained optimization that produces filter functions with specific properties that may be beneficial to the performance of the eigensolver that employs them .
Edit intent: clarity
Original:  In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics  . Consequently, as a first step, we investigate the problem of enumerating all satisfying teams of a given propositional dependence logic formula without the split junction operator .
Revised:  In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics . Consequently, as a first step, we investigate the problem of enumerating all satisfying teams of formulas from a given fragment of propositional dependence logic formula without the split junction operator .
Edit intent: clarity
Original:  In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics  . Consequently, as a first step, we investigate the problem of enumerating all satisfying teams of a given propositional dependence logic formula without the split junction operator .
Revised:  In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics . Consequently, as a first step, we investigate the problem of enumerating all satisfying teams of a given propositional dependence logic .
Edit intent: clarity
Original:  We show that a polynomial delay can be reached for polynomials and otherwise , in the parametrised setting , we reach FPT delay.
Revised:  We show that a polynomial delay can be reached for polynomials and otherwise in the parametrised setting , we reach FPT delay.
Edit intent: fluency
Original:  We show that a polynomial delay can be reached for polynomials and otherwise , in the parametrised setting , we reach FPT delay.
Revised:  We show that a polynomial delay can be reached for polynomials and otherwise , in the parametrised setting we reach FPT delay.
Edit intent: fluency
Original:  In this paper we propose a new distributed clustering approach to deal efficiently with both phases ;
Revised:  In this paper we propose a new distributed clustering approach to deal efficiently with both phases ,
Edit intent: fluency
Original:  For the evaluation, we use two well-known clustering algorithms ;
Revised:  For the evaluation, we use two well-known clustering algorithms ,
Edit intent: fluency
Original:  One of the key outputs of this distributed clustering technique is that the number of global clusters is dynamic ;
Revised:  One of the key outputs of this distributed clustering technique is that the number of global clusters is dynamic ,
Edit intent: fluency
Original:  On the basis of this model , we further propose a Spatio-Temporal Embedding Similarity algorithm (STES) for location recommendation .
Revised:  On the basis of this model , we further propose a Spatio-Temporal Embedding Similarity algorithm (STES) based on the embedding model .
Edit intent: clarity
Original:  Twitter, and Gowalla, we demonstrate our model's effectiveness at characterizing places and people , resulting in a significantly increased recommendation and classification performance as compared to the state of the art . Finally, we select eight major cities around the globe and verify the robustness and generality of our model by porting pre-trained models from one city to another, and thereby alleviating the need for costly local training.
Revised:  we demonstrate our model's effectiveness at characterizing places and people , resulting in a significantly increased recommendation and classification performance as compared to the state of the art . Finally, we select eight major cities around the globe and verify the robustness and generality of our model by porting pre-trained models from one city to another, and thereby alleviating the need for costly local training.
Edit intent: coherence
Original:  Twitter, and Gowalla, we demonstrate our model's effectiveness at characterizing places and people , resulting in a significantly increased recommendation and classification performance as compared to the state of the art . Finally, we select eight major cities around the globe and verify the robustness and generality of our model by porting pre-trained models from one city to another, and thereby alleviating the need for costly local training.
Revised:  Twitter, and Gowalla, we demonstrate our model's effectiveness at characterizing places and people , resulting in a significantly increased recommendation and classification performance as compared to the state of the art . Finally, we select eight major cities around the globe and verify the robustness and generality of our model by porting pre-trained models from one city to another, thereby alleviating the need for costly local training.
Edit intent: coherence
Original:  Here, we employ a reaction-diffusion model for sexually reproducing diploid organisms to study how a locally introduced gene drive allele spreads to replace the wild-type allele, even though it posses a selective disadvantage s>0.
Revised:  Here, we employ a reaction-diffusion model for sexually reproducing diploid organisms to study how a locally introduced gene drive allele spreads to replace the wild-type allele, even though it possesses a selective disadvantage s>0.
Edit intent: fluency
Original: Humans take advantage of real world symmetries for various tasks, yet capturing their superb symmetry perception mechanism into a computational model remains elusive.
Revised: Humans take advantage of real world symmetries for various tasks, yet capturing their superb symmetry perception mechanism with a computational model remains elusive.
Edit intent: clarity
Original:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K  symmetry-labels from more than 400 human observers.
Revised:  Motivated by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K symmetry-labels from more than 400 human observers.
Edit intent: clarity
Original:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K  symmetry-labels from more than 400 human observers.
Revised:  Encouraged by a new study demonstrating the extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K symmetry-labels from more than 400 human observers.
Edit intent: clarity
Original:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K  symmetry-labels from more than 400 human observers.
Revised:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have constructed the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K symmetry-labels from more than 400 human observers.
Edit intent: fluency
Original:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K  symmetry-labels from more than 400 human observers.
Revised:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Microsoft-Common Object in COntext) dataset with nearly 11K symmetry-labels from more than 400 human observers.
Edit intent: fluency
Original:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K  symmetry-labels from more than 400 human observers.
Revised:  Encouraged by a new discovery (CVPR 2016) demonstrating extremely high inter-person accuracy of human perceived symmetries in the wild, we have created the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO ( Common Object in COntext) dataset with nearly 11K consistent symmetry-labels from more than 400 human observers.
Edit intent: clarity
Original:  Using the symmetry competition testsets from CVPR 2013 and unseen MS-COCO photos, Sym-NET comes out as the winner with significantly superior performance over all other competitors.
Revised:  On CVPR 2013 symmetry competition testsets from CVPR 2013 and unseen MS-COCO photos, Sym-NET comes out as the winner with significantly superior performance over all other competitors.
Edit intent: clarity
Original:  Using the symmetry competition testsets from CVPR 2013 and unseen MS-COCO photos, Sym-NET comes out as the winner with significantly superior performance over all other competitors.
Revised:  Using the symmetry competition testsets and unseen MS-COCO photos, Sym-NET comes out as the winner with significantly superior performance over all other competitors.
Edit intent: clarity
Original:  Using the symmetry competition testsets from CVPR 2013 and unseen MS-COCO photos, Sym-NET comes out as the winner with significantly superior performance over all other competitors.
Revised:  Using the symmetry competition testsets from CVPR 2013 and unseen MS-COCO photos, Sym-NET significantly outperforms all other competitors.
Edit intent: clarity
Original:  Beyond mathematically well-defined symmetries on a plane, Sym-NET demonstrates abilities to identify viewpoint-varied 3D symmetries, partially occluded symmetrical objects  and symmetries at a semantic level.
Revised:  Beyond mathematically well-defined symmetries on a plane, Sym-NET demonstrates abilities to identify viewpoint-varied 3D symmetries, partially occluded symmetrical objects , and symmetries at a semantic level.
Edit intent: fluency
Original:  Theoretically, such differing rates should influence the relative rate of diffusion of the products since improvement in performance during the diffusion process increases the desirability of the product diffusing.
Revised:  Prior theory indicates that such differing rates should influence the relative rate of diffusion of the products since improvement in performance during the diffusion process increases the desirability of the product diffusing.
Edit intent: clarity
Original:  Theoretically, such differing rates should influence the relative rate of diffusion of the products since improvement in performance during the diffusion process increases the desirability of the product diffusing.
Revised:  Theoretically, such differing rates should influence the relative speed of diffusion of the products since improvement in performance during the diffusion process increases the desirability of the product diffusing.
Edit intent: clarity
Original:  However, there has not been a broad empirical attempt to examine this effect and to explain the underlying cause.
Revised:  However, there has not been a broad empirical attempt to examine this effect and to clarify the underlying cause.
Edit intent: clarity
Original:  Therefore, this paper reviews the theoretical basis and focuses upon empirical tests of this effect and its underlying cause .
Revised:  Therefore, this paper reviews the theoretical basis and focuses upon empirical tests of this effect across multiple products and their underlying technologies .
Edit intent: clarity
Original:  The results for 18 different diffusing products show the expected relationship-faster diffusion for  more rapidly improving products- between technological improvement and diffusion with strong statistical significance.
Revised:  The results for 18 different diffusing products show the expected relationship-faster diffusion for more rapidly improving technological domains- between technological improvement and diffusion with strong statistical significance.
Edit intent: clarity
Original:  The empirical examination also demonstrates that performance improvement does not slow down in the latter parts of diffusion when penetration does slow down.
Revised:  The empirical examination also demonstrates that technological improvement does not slow down in the latter parts of diffusion when penetration does slow down.
Edit intent: clarity
Original:  This finding is also consistent with theories of diffusion based upon utility but not with ideas that explain  performance increases as due to competition among firms.
Revised:  This finding is not consistent with ideas that explain performance increases as due to competition among firms.
Edit intent: coherence
Original: It is now clear that different technological domains have significantly different rates of performance improvement.
Revised: Different technological domains have significantly different rates of performance improvement.
Edit intent: coherence
Original:  We study the relationship between scale-free properties and the approximation ratio of some commonly used evolutionary algorithms.
Revised:  We study the relationship between scale-free properties and the approximation-ratio of some commonly used evolutionary algorithms.
Edit intent: clarity
Original:  For the Vertex Cover, we observe experimentally that the (1+1) EA always gives the better result than a greedy local search, even when it runs for only O (n \log n ) steps.
Revised:  For the Vertex Cover, we observe experimentally that the (1+1) -EA always gives the better result than a greedy local search, even when it runs for only O (n \log n ) steps.
Edit intent: clarity
Original:  For the Vertex Cover, we observe experimentally that the (1+1) EA always gives the better result than a greedy local search, even when it runs for only O (n \log n ) steps.
Revised:  For the Vertex Cover, we observe experimentally that the (1+1) EA always gives the better result than a greedy local search, even when it runs for only O (n \log (n) ) steps.
Edit intent: fluency