wanyu/IteraTeR_v2 huggingface dataset:
Original: This paper is focused on a rigorous variant of the shear strength reduction method (SSR) and the corresponding determination of safety factors.
Revised: This paper is focused on a rigorous variant of the shear strength reduction (SSR) and the corresponding determination of safety factors.
Edit intent: clarity
Original:  The optimization problem is analyzed and the corresponding duality between the static and kinematic principles  is derived.
Revised:  The optimization problem is well-defined. Next, the duality between the static and kinematic principles is derived.
Edit intent: coherence
Original:  For  numerical solution, a regularization method is introduced and a relation between the original and regularized problems is derived.
Revised:  For the numerical solution, a regularization method is introduced and a relation between the original and regularized problems is derived.
Edit intent: fluency
Original:  In-house codes in Matlab are used for  implementation of this solution concept.
Revised:  In-house codes (Matlab) are used for implementation of this solution concept.
Edit intent: coherence
Original:  In-house codes in Matlab are used for  implementation of this solution concept.
Revised:  In-house codes in Matlab are used for the implementation of this solution concept.
Edit intent: fluency
Original:  Two slope stability problems are considered, one of which follows from analysis of a real slope.
Revised:  Finally, two slope stability problems are considered, one of which follows from analysis of a real slope.
Edit intent: coherence
Original:  Softwares Plaxis and Comsol Multiphysics are used for comparison of the results.
Revised:  The softwares packages Plaxis and Comsol Multiphysics are used for comparison of the results.
Edit intent: clarity
Original:  In our previous work, a class of integral equations was introduced to approximate the Poisson problems on manifolds with Dirichlet and Neumann type boundary conditions .
Revised:  In our previous work, a class of integral equations was introduced to approximate the Poisson problems on manifolds with Dirichlet and Neumann boundaries .
Edit intent: clarity
Original:  Our concentration is on the well-posedness analysis of the weak formulation corresponding to the integral model and the study of convergence to its PDE counterpart.
Revised:  Our concentration is on the well-posedness analysis of the weak formulation corresponding to the integral model and the convergence analysis to its PDE counterpart.
Edit intent: clarity
Original:  The main result of our work is that, such surface nonlocal model converges to the standard Poisson problem in a rate of O(\delta^2) in H^1 norm, where \delta is the parameter that denotes the range of support for the kernel of the integral operators.
Revised:  The main result of our work is that, such manifold nonlocal model converges to the standard Poisson problem in a rate of O(\delta^2) in H^1 norm, where \delta is the parameter that denotes the range of support for the kernel of the integral operators.
Edit intent: fluency
Original:  The main result of our work is that, such surface nonlocal model converges to the standard Poisson problem in a rate of O(\delta^2) in H^1 norm, where \delta is the parameter that denotes the range of support for the kernel of the integral operators.
Revised:  The main result of our work is that, such surface nonlocal model converges to the standard Poisson problem in a rate of O(\delta^2) in H^1 norm, where \delta is the parameter that denotes the range of support for the kernel of the integral operators.
Edit intent: fluency
Original:  The main result of our work is that, such surface nonlocal model converges to the standard Poisson problem in a rate of O(\delta^2) in H^1 norm, where \delta is the parameter that denotes the range of support for the kernel of the integral operators.
Revised:  The main result of our work is that, such surface nonlocal model converges to the standard Poisson problem in a rate of O(\delta^2) in H^1 norm, where \delta is the parameter that denotes the range of support for the kernel of the nonlocal operators.
Edit intent: clarity
Original:  Two numerical experiments are included to illustrate our convergence analysis on the other side.
Revised:  Two numerical experiments are included to illustrate our convergence results on the other side.
Edit intent: clarity
Original: The problem of computing Wasserstein barycenters (a.k.a.
Revised: Computing Wasserstein barycenters (a.k.a.
Edit intent: clarity
Original:  While there exist polynomial-time algorithms in any fixed dimension, all known runtimes suffer exponentially in the dimension.
Revised:  While there exist polynomial-time algorithms in any fixed dimension, all known running times suffer exponentially in the dimension.
Edit intent: fluency
Original: In low distortion metric embeddings, the goal is to embed a host "hard" metric space into a "simpler" target space , while approximately preserving pairwise distances.
Revised: In low distortion metric embeddings, the goal is to embed a host "hard" metric space into a "simpler" target space while approximately preserving pairwise distances.
Edit intent: fluency
Original:  Another bypass is Ramsey type embedding, where the distortion guarantee applies only to a subset of the points.
Revised:  Another bypass is Ramsey-type embedding, where the distortion guarantee applies only to a subset of the points.
Edit intent: fluency
Original:  However both this solutions fail to provide an embedding into a single tree with worst case distortion guarantee on all pairs.
Revised:  However , both these solutions fail to provide an embedding into a single tree with worst case distortion guarantee on all pairs.
Edit intent: coherence
Original:  However both this solutions fail to provide an embedding into a single tree with worst case distortion guarantee on all pairs.
Revised:  However both this solutions fail to provide an embedding into a single tree with a worst-case distortion guarantee on all pairs.
Edit intent: fluency
Original:  In this paper  we propose a novel third bypass called clan embedding.
Revised:  In this paper , we propose a novel third bypass called clan embedding.
Edit intent: fluency
Original:  Here each point x is mapped to a subset of points f(x) ( called a clan ) with a special chief point \chi(x)\in f(x).
Revised:  Here each point x is mapped to a subset of points f(x) , called a clan ) with a special chief point \chi(x)\in f(x).
Edit intent: fluency
Original:  Here each point x is mapped to a subset of points f(x) ( called a clan ) with a special chief point \chi(x)\in f(x).
Revised:  Here each point x is mapped to a subset of points f(x) ( called a clan , with a special chief point \chi(x)\in f(x).
Edit intent: fluency
Original:  Our first result is  clan embedding into a tree with multiplicative distortion O(\frac{\log n}{\epsilon}) such that each point has 1+\epsilon copies (in expectation).
Revised:  Our first result is a clan embedding into a tree with multiplicative distortion O(\frac{\log n}{\epsilon}) such that each point has 1+\epsilon copies (in expectation).
Edit intent: fluency
Original:  In addition, for graphs we provide a "spanning" version of this theorem , and use it to devise the first compact routing scheme with constant size routing tables.
Revised:  In addition, we provide a "spanning" version of this theorem , and use it to devise the first compact routing scheme with constant size routing tables.
Edit intent: coherence
Original:  In addition, for graphs we provide a "spanning" version of this theorem , and use it to devise the first compact routing scheme with constant size routing tables.
Revised:  In addition, for graphs we provide a "spanning" version of this theorem for graphs and use it to devise the first compact routing scheme with constant size routing tables.
Edit intent: fluency
Original:  Next we turn to minor free graphs , who were previously stochastically embedded into bounded treewidth graphs with expected additive distortion \epsilon D (D being the diameter) .
Revised:  Next we turn to minor free graphs , who were previously stochastically embedded into bounded treewidth graphs with expected additive distortion \epsilon D .
Edit intent: coherence
Original:  We devise a Ramsey type embedding and clan embedding analogs of the stochastic embedding.
Revised:  We devise Ramsey-type embedding and clan embedding analogs of the stochastic embedding.
Edit intent: fluency
Original: Networks with a scale-free degree distribution are widely known to promote cooperation in various games.
Revised: Networks with a scale-free degree distribution are widely thought to promote cooperation in various games.
Edit intent: clarity
Original:  For an arbitrary quantitative trait affected by n=26 genes and with 812 meaningful gene interactions, our simulations show noisy trait measurements (SNR=20\,dB) from just M=44,\!336 genomes in a population of size N = 2^{26 (undersample ratio M/N}%DIFDELCMD < \approx0%%% .00066) permit discovering its gene network and predicting trait values, both with about 97.6%DIFDELCMD < \\%%% %DIF < accuracy.
Revised:  For an arbitrary quantitative trait affected by n=26 genes and with 812 meaningful gene interactions, our simulations show noisy trait measurements (SNR=20\,dB) from just M=44,\!336 genomes in a population of size N = 2^{26 (undersample ratio M/N}%DIFDELCMD < \approx0%%% %DIFDELCMD < \\%%% %DIF < accuracy.
Edit intent: coherence
Original:  If so, it could offer a radical reduction in the number of measurements -- from exponential to polynomial in some cases -- necessary to quantify the relationship between genomesand certain traits .
Revised:  If so, it could offer a radical reduction in the number of measurements -- sometimes even polynomial -- necessary to quantify the relationship between genomesand certain traits .
Edit intent: clarity
Original:  Our algorithm is therefore suitable for the fixed-precision problem, and so is designed to terminate as soon as a user input error tolerance is reached.
Revised:  Our algorithm is therefore suitable for the fixed-accuracy problem, and so is designed to terminate as soon as a user input error tolerance is reached.
Edit intent: fluency
Original:  Numerical experiments suggest that the block Lanczos method can be competitive with or superior to algorithms that use power iteration, even when A has significant clusters of singular values.
Revised:  Numerical experiments suggest that the block Lanczos method is generally competitive with or superior to algorithms that use power iteration, even when A has significant clusters of singular values.
Edit intent: clarity
Original:  We derive a semi-closed form for an optimal hedging strategy with dual objectives -- to minimize both the variance of the hedged portfolio and the probability of forced liquidations due to margin calls.
Revised:  We derive a semi-closed form for an optimal hedging strategy with dual objectives - to minimise both the variance of the hedged portfolio and the probability of forced liquidations due to margin calls.
Edit intent: fluency
Original:  We derive a semi-closed form for an optimal hedging strategy with dual objectives -- to minimize both the variance of the hedged portfolio and the probability of forced liquidations due to margin calls.
Revised:  We derive a semi-closed form for an optimal hedging strategy with dual objectives -- to minimize both the variance of the hedged portfolio and the probability of liquidations due to margin calls.
Edit intent: clarity
Original:  An empirical analysis of bitcoin shows that the optimal strategy not only achieves superior hedge effectiveness , but also reduces the probability of forced liquidations to an acceptable level.
Revised:  An empirical analysis of bitcoin shows that the optimal strategy combines superior hedge effectiveness , but also reduces the probability of forced liquidations to an acceptable level.
Edit intent: clarity
Original:  An empirical analysis of bitcoin shows that the optimal strategy not only achieves superior hedge effectiveness , but also reduces the probability of forced liquidations to an acceptable level.
Revised:  An empirical analysis of bitcoin shows that the optimal strategy not only achieves superior hedge effectiveness with a reduction in the probability of forced liquidations to an acceptable level.
Edit intent: clarity
Original:  We show that balancing antiviral defense against autoimmunity predicts a scaling law relating spacer length and CRISPR repertoire size.
Revised:  We show that balancing antiviral defense against autoimmunity predicts a scaling relation between spacer length and CRISPR repertoire size.
Edit intent: clarity
Original:  By analyzing a database of microbial CRISPR-Cas systems, we find that the predicted scaling law is realized empirically across prokaryotes, and arises through the proportionate use of different CRISPR typesby species differing in the size of immune memory .
Revised:  We find evidence for this scaling through comparative analysis of sequenced prokaryotic genomes, and show that this association also holds at the level of CRISPR types .
Edit intent: clarity
Original:  The GRNN-BFs could predict the frame-wise beamforming weights by leveraging on the temporal modeling capability of RNNs . The proposed GRNN-BF method obtains better performance than the state-of-the-art ADL-MVDR and the traditional mask-based MVDR methods in terms of speech quality (PESQ), speech-to-noise ratio (SNR) , and word error rate (WER).
Revised:  The GRNN-BFs could predict the frame-wise beamforming weights by leveraging on the temporal modeling capability of RNNs . The proposed GRNN-BF obtains better performance than the state-of-the-art ADL-MVDR and the traditional mask-based MVDR methods in terms of speech quality (PESQ), speech-to-noise ratio (SNR) , and word error rate (WER).
Edit intent: coherence
Original:  The GRNN-BFs could predict the frame-wise beamforming weights by leveraging on the temporal modeling capability of RNNs . The proposed GRNN-BF method obtains better performance than the state-of-the-art ADL-MVDR and the traditional mask-based MVDR methods in terms of speech quality (PESQ), speech-to-noise ratio (SNR) , and word error rate (WER).
Revised:  The GRNN-BFs could predict the frame-wise beamforming weights by leveraging on the temporal modeling capability of RNNs . The proposed GRNN-BF method obtains better performance against prior arts in terms of speech quality (PESQ), speech-to-noise ratio (SNR) , and word error rate (WER).
Edit intent: clarity
Original:  The GRNN-BFs could predict the frame-wise beamforming weights by leveraging on the temporal modeling capability of RNNs . The proposed GRNN-BF method obtains better performance than the state-of-the-art ADL-MVDR and the traditional mask-based MVDR methods in terms of speech quality (PESQ), speech-to-noise ratio (SNR) , and word error rate (WER).
Revised:  The GRNN-BFs could predict the frame-wise beamforming weights by leveraging on the temporal modeling capability of RNNs . The proposed GRNN-BF method obtains better performance than the state-of-the-art ADL-MVDR and the traditional mask-based MVDR methods in terms of speech quality (PESQ), speech-to-noise ratio (SNR) and word error rate (WER).
Edit intent: fluency
Original:  The combined approach inherits the merits of the deterministic method and Bayesian inversion , which is demonstrated by the numerical examples.
Revised:  The combined approach inherits the merits of the deterministic method and Bayesian inversion as demonstrated by the numerical examples.
Edit intent: coherence
Original:   This paper focuses on this dual objective of PCA, namely, dimensionality reduction and decorrelation of features, which requires estimating the eigenvectors of a data covariance matrix, as opposed to only estimating the subspace spanned by the eigenvectors .
Revised:  This paper focuses on the dual objective of PCA, namely, dimensionality reduction and decorrelation of features, which requires estimating the eigenvectors of a data covariance matrix, as opposed to only estimating the subspace spanned by the eigenvectors .
Edit intent: coherence
Original:   This paper focuses on this dual objective of PCA, namely, dimensionality reduction and decorrelation of features, which requires estimating the eigenvectors of a data covariance matrix, as opposed to only estimating the subspace spanned by the eigenvectors .
Revised:  This paper focuses on this dual objective of PCA, namely, dimensionality reduction and decorrelation of features, which requires estimating the eigenvectors of the data covariance matrix, as opposed to only estimating the subspace spanned by the eigenvectors .
Edit intent: fluency
Original:  With an eye towards communications efficiency, this paper introduces a feedforward neural network-based one time-scale distributed PCA algorithm termed Distributed Sanger's Algorithm (DSA) that estimates the eigenvectors of a data covariance matrix when data are distributed across an undirected and arbitrarily connected network of machines.
Revised:  With an eye towards communications efficiency, this paper introduces a feedforward neural network-based one time-scale distributed PCA algorithm termed Distributed Sanger's Algorithm (DSA) that estimates the eigenvectors of the data covariance matrix when data are distributed across an undirected and arbitrarily connected network of machines.
Edit intent: fluency
Original:  With an eye towards communications efficiency, this paper introduces a feedforward neural network-based one time-scale distributed PCA algorithm termed Distributed Sanger's Algorithm (DSA) that estimates the eigenvectors of a data covariance matrix when data are distributed across an undirected and arbitrarily connected network of machines.
Revised:  With an eye towards communications efficiency, this paper introduces a feedforward neural network-based one time-scale distributed PCA algorithm termed Distributed Sanger's Algorithm (DSA) that estimates the eigenvectors of a data covariance matrix when data is distributed across an undirected and arbitrarily connected network of machines.
Edit intent: fluency
Original:  Numerical results are also shown to demonstrate the efficacy of the proposed solution.
Revised:  Numerical results are also provided to demonstrate the efficacy of the proposed solution.
Edit intent: clarity
Original:  This paper also gives us the opportunity to present the field of covering theory in a pedagogical way, with a focus on the two aforementioned tools, whose potential impact on the study of anonymous networks goes beyond the specific problems considered in this work.
Revised:  This paper also gives us the opportunity to present the field of covering theory in a pedagogical way, with a focus on the two aforementioned tools, whose potential impact goes beyond the specific problems considered in this work.
Edit intent: clarity
Original:  Through observations and interviews with 22 clinicians from 6 rural clinics in China, this paper reports the various tensions between the design of an AI-CDSS system ( ``Brilliant Doctor''
Revised:  Through observations and interviews with 22 clinicians from 6 rural clinics in China, this paper reports the various tensions between the design of an AI-CDSS system ( "Brilliant Doctor"
Edit intent: fluency
Original:  ) and the rural clinical context, such as the misalignment with local context and workflow, the technical limitations and usability barriers, as well as issues related to transparency and trustworthiness of AI-CDSS. Despite these tensions, all participants expressed positive attitudes toward the future of AI-CDSS, especially acting as `` a doctor's AI assistant '' to realize a Human-AI Collaboration future in clinical settings.
Revised:  ) and the rural clinical context, such as the misalignment with local context and workflow, the technical limitations and usability barriers, as well as issues related to transparency and trustworthiness of AI-CDSS. Despite these tensions, all participants expressed positive attitudes toward the future of AI-CDSS, especially acting as " a doctor's AI assistant '' to realize a Human-AI Collaboration future in clinical settings.
Edit intent: fluency
Original:  ) and the rural clinical context, such as the misalignment with local context and workflow, the technical limitations and usability barriers, as well as issues related to transparency and trustworthiness of AI-CDSS. Despite these tensions, all participants expressed positive attitudes toward the future of AI-CDSS, especially acting as `` a doctor's AI assistant '' to realize a Human-AI Collaboration future in clinical settings.
Revised:  ) and the rural clinical context, such as the misalignment with local context and workflow, the technical limitations and usability barriers, as well as issues related to transparency and trustworthiness of AI-CDSS. Despite these tensions, all participants expressed positive attitudes toward the future of AI-CDSS, especially acting as `` a doctor's AI assistant " to realize a Human-AI Collaboration future in clinical settings.
Edit intent: fluency
Original: In epidemiological modelling, the instantaneous reproduction number , R_t, is important to understand the transmission dynamics of infectious diseases.
Revised: The evolution of epidemiological parameters, such as instantaneous reproduction number , R_t, is important to understand the transmission dynamics of infectious diseases.
Edit intent: clarity
Original: In epidemiological modelling, the instantaneous reproduction number , R_t, is important to understand the transmission dynamics of infectious diseases.
Revised: In epidemiological modelling, the instantaneous reproduction number Rt, is important for understanding the transmission dynamics of infectious diseases.
Edit intent: clarity
Original:  Current R_t estimates often suffer from problems such as lagging , averaging and uncertainties demoting the usefulness of R_t . To address these problems, we propose a new method in the framework of sequential Bayesian inference where a Data Assimilation approach is taken for R_t estimation, resulting in the state-of-the-art 'DAR_t' systemfor R_t estimation.
Revised:  Current R_t estimates often suffer from problems such as lagging observations, averaging inference, and improper quantification of uncertainties . To address these problems, we propose a new method in the framework of sequential Bayesian inference where a Data Assimilation approach is taken for R_t estimation, resulting in the state-of-the-art 'DAR_t' systemfor R_t estimation.
Edit intent: clarity
Original:  With DAR_t, the problem of time misalignment caused by lagging observations is tackled by incorporating observation delays into the joint inference of infections and R_t ;
Revised:  With DAR_t, the problem of time misalignment caused by lagging observations is tackled by incorporating observation delays into the joint inference of infections and Rt ;
Edit intent: fluency
Original:  the drawback of averaging is improved by instantaneous updating upon new observations and  a model selection mechanism capturing abrupt changescaused by interventions ;
Revised:  the drawback of averaging is overcome by instantaneously updating upon new observations and a model selection mechanism capturing abrupt changescaused by interventions ;
Edit intent: clarity
Original:  the drawback of averaging is improved by instantaneous updating upon new observations and  a model selection mechanism capturing abrupt changescaused by interventions ;
Revised:  the drawback of averaging is improved by instantaneous updating upon new observations and developing a model selection mechanism capturing abrupt changescaused by interventions ;
Edit intent: clarity
Original:  the drawback of averaging is improved by instantaneous updating upon new observations and  a model selection mechanism capturing abrupt changescaused by interventions ;
Revised:  the drawback of averaging is improved by instantaneous updating upon new observations and a model selection mechanism that captures abrupt changes ;
Edit intent: clarity