wanyu/IteraTeR_v2 huggingface dataset:
Original:  In particular, we show that the mean number of resources in a target is proportional to its effective `` shape capacitance.
Revised:  In particular, we show that the mean number of resources in a target is proportional to its effective " shape capacitance.
Edit intent: fluency
Original:  '' Finally, we extend the analysis to the case of diffusive search with stochastic resetting before  capture.
Revised:  " We then extend the analysis to the case of diffusive search with stochastic resetting before capture.
Edit intent: coherence
Original:  For example, this is  the case for SIR-type infectious disease models derived using the linear chain trick (LCT).
Revised:  For example, this is typically the case for SIR-type infectious disease models derived using the linear chain trick (LCT).
Edit intent: clarity
Original:  Here we show how  the next generation operator approach for computing reproduction numbers can be used in conjunction with the generalized linear chain trick (GLCT) to find reproduction numbers expressions that apply generally to such families of models of varying dimensions .
Revised:  Here we show how the next generation operator approach for computing reproduction numbers can be used in conjunction with the generalized linear chain trick (GLCT) .
Edit intent: clarity
Original:  Some types of specifications can be converted into deterministic finite automata (DFA) as an intermediate step in synthesis, thus benefiting from the fact that DFAs can be fully minimized in polynomial time.
Revised:  Some types of specifications can be converted into deterministic finite automata (DFA) , as the intermediate semantic representation. Moreover, due to the fact that DFAs can be fully minimized in polynomial time.
Edit intent: clarity
Original:  While earlier studies  comparing the two algorithms for randomly-generated automata concluded that neither algorithm dominates, our results suggest that in the context of temporal-synthesis , Hopcroft's algorithm is the best choice .
Revised:  While earlier studies on comparing the two algorithms for randomly-generated automata concluded that neither algorithm dominates, our results suggest that in the context of temporal-synthesis , Hopcroft's algorithm is the best choice .
Edit intent: fluency
Original:  While earlier studies  comparing the two algorithms for randomly-generated automata concluded that neither algorithm dominates, our results suggest that in the context of temporal-synthesis , Hopcroft's algorithm is the best choice .
Revised:  While earlier studies comparing the two algorithms starting from randomly-generated automata concluded that neither algorithm dominates, our results suggest that in the context of temporal-synthesis , Hopcroft's algorithm is the best choice .
Edit intent: clarity
Original: Training a state-of-the-art deep neural network ( DNNs ) is a computationally-expensive and time-consuming process, which incentivizes deep learning developers to debug their DNNs for computational performance.
Revised: Training a state-of-the-art deep neural network ( DNN ) is a computationally-expensive and time-consuming process, which incentivizes deep learning developers to debug their DNNs for computational performance.
Edit intent: fluency
Original:  We do this by showing that Boolean circuit complexity upperbound the Kolomogorov complexity of certain partial derivative incarnations of Turing machines.
Revised:  We do this by showing that Boolean circuit complexity upperbound the Kolomogorov complexity of partial differential incarnations of Turing machines.
Edit intent: clarity
Original:  In particular we show that  Boolean formula complexity upper-bounds an algebraic variant of the Kolomogorov complexity  of partial differential incarnations of Turing machines  .
Revised:  In particular we show that Boolean formula complexity upper-bounds algebraic variants of the Kolomogorov complexity of partial differential incarnations of Turing machines .
Edit intent: clarity
Original:  In particular we show that  Boolean formula complexity upper-bounds an algebraic variant of the Kolomogorov complexity  of partial differential incarnations of Turing machines  .
Revised:  In particular we show that Boolean formula complexity upper-bounds an algebraic variant of the Kolomogorov complexity measure of partial differential incarnations of Turing machines .
Edit intent: clarity
Original: Hoare logic provides a syntax-oriented method to reason about program correctness , and has been proven effective in the verification of classical and probabilistic programs.
Revised: Hoare logic provides a syntax-oriented method to reason about program correctness and has been proven effective in the verification of classical and probabilistic programs.
Edit intent: fluency
Original:  Furthermore, to simplify reasoning in real applications, auxiliary proof rules are provided which support the introduction of disjunction and quantifiers in the classical part of assertions, and of super-operator application and superposition in the quantum part.
Revised:  Furthermore, to simplify reasoning in real applications, auxiliary proof rules are provided which support the introduction of disjunction and quantifiers in the classical part of assertions, and of super-operator application in the quantum part.
Edit intent: clarity
Original: In  high-dimensional data setting, the sample covariance matrix is singular.
Revised: In the high-dimensional data setting, the sample covariance matrix is singular.
Edit intent: fluency
Original:  By exploiting the special structure of the data matrix in  high-dimensional data setting, we also propose some new algorithms based on efficient matrix decomposition techniques.
Revised:  By exploiting the special structure of the data matrix in the high-dimensional data setting, we also propose some new algorithms based on efficient matrix decomposition techniques.
Edit intent: fluency
Original:  Here we present a model that predicts a series of discontinuous transitions in social distancing after pandemics climax .
Revised:  Here we present a model that predicts a series of discontinuous transitions in social distancing .
Edit intent: clarity
Original:  Besides , this work presents analytical tools to analyze pandemic waves  .
Revised:  Furthermore , this work presents analytical tools to analyze pandemic waves .
Edit intent: fluency
Original:  CNN practitioners widely understandthe fact that the stability of learning depends on how to initialize the model parameters in each layer.
Revised:  CNN practitioners widely understand the fact that the stability of learning depends on how to initialize the model parameters in each layer.
Edit intent: fluency
Original: Minimal paths are considered as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and  well-established numerical solutions such as fast marching algorithm .
Revised: Minimal paths are regarded as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and well-established numerical solutions such as fast marching algorithm .
Edit intent: fluency
Original: Minimal paths are considered as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and  well-established numerical solutions such as fast marching algorithm .
Revised: Minimal paths are considered as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and the well-established numerical solutions such as fast marching algorithm .
Edit intent: fluency
Original: Minimal paths are considered as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and  well-established numerical solutions such as fast marching algorithm .
Revised: Minimal paths are considered as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and well-established numerical solutions such as fast marching method .
Edit intent: clarity
Original:  This is done by exploiting an implicit method to incorporate the region-based homogeneity information to the metrics used .
Revised:  The incorporation of the region-based homogeneity information to the metrics used .
Edit intent: clarity
Original:  We prove their conjecture by showing a tight lower bound of \Omega _k (N^{1-1/k}) for the randomized query complexity of k-Forrelation, where the advantage \delta = 1/\mathrm{polylog^k(N) and }%DIFDELCMD < \Omega%%% _k hides \mathrm{polylog.
Revised:  We prove their conjecture by showing a tight lower bound of \Omega (N^{1-1/k}) for the randomized query complexity of k-Forrelation, where the advantage \delta = 1/\mathrm{polylog^k(N) and }%DIFDELCMD < \Omega%%% _k hides \mathrm{polylog.
Edit intent: fluency
Original:  We prove their conjecture by showing a tight lower bound of \Omega _k (N^{1-1/k}) for the randomized query complexity of k-Forrelation, where the advantage \delta = 1/\mathrm{polylog^k(N) and }%DIFDELCMD < \Omega%%% _k hides \mathrm{polylog.
Revised:  We prove their conjecture by showing a tight lower bound of \Omega _k (N^{1-1/k}) for the randomized query complexity of k-Forrelation, where the advantage \delta = ^k(N) and }%DIFDELCMD < \Omega%%% _k hides \mathrm{polylog.
Edit intent: coherence
Original:  Our techniques rely } on classical Gaussian tools, in particular, Gaussian interpolation and Gaussian integration by parts, and in fact, shows a more general statement , that to prove lower bounds for k-Forrelation against a family of functions, it suffices to bound the \ell_1-weight of the Fourier coefficients at levels k , 2k, 3k, \ldots, (k-1)k for functions in the family .
Revised:  Our techniques rely } on classical Gaussian tools, in particular, Gaussian interpolation and Gaussian integration by parts, and in fact, give a more general statement , that to prove lower bounds for k-Forrelation against a family of functions, it suffices to bound the \ell_1-weight of the Fourier coefficients at levels k , 2k, 3k, \ldots, (k-1)k for functions in the family .
Edit intent: clarity
Original:  Our techniques rely } on classical Gaussian tools, in particular, Gaussian interpolation and Gaussian integration by parts, and in fact, shows a more general statement , that to prove lower bounds for k-Forrelation against a family of functions, it suffices to bound the \ell_1-weight of the Fourier coefficients at levels k , 2k, 3k, \ldots, (k-1)k for functions in the family .
Revised:  Our techniques rely } on classical Gaussian tools, in particular, Gaussian interpolation and Gaussian integration by parts, and in fact, shows a more general statement . We show that to prove lower bounds for k-Forrelation against a family of functions, it suffices to bound the \ell_1-weight of the Fourier coefficients at levels k , 2k, 3k, \ldots, (k-1)k for functions in the family .
Edit intent: fluency
Original:  However , pandemic-related policy decisions cannot be made on health information alone but need to take into account the broader impacts on people and their needs.
Revised:  Yet , pandemic-related policy decisions cannot be made on health information alone but need to take into account the broader impacts on people and their needs.
Edit intent: fluency
Original:  However , pandemic-related policy decisions cannot be made on health information alone but need to take into account the broader impacts on people and their needs.
Revised:  However , pandemic-related policy decisions cannot be made on health information alone . Decisions need to consider the broader impacts on people and their needs.
Edit intent: clarity
Original:  Here, we propose a computational framework, based on Maslow's hierarchy of needs, that can characterize a holistic view of relative changes in needs following the pandemic through a difference-in-differences approach that corrects for seasonality and query volume variations.
Revised:  Here, we propose a computational methodology, building on Maslow's hierarchy of needs, that can characterize a holistic view of relative changes in needs following the pandemic through a difference-in-differences approach that corrects for seasonality and query volume variations.
Edit intent: clarity
Original:  Here, we propose a computational framework, based on Maslow's hierarchy of needs, that can characterize a holistic view of relative changes in needs following the pandemic through a difference-in-differences approach that corrects for seasonality and query volume variations.
Revised:  Here, we propose a computational framework, based on Maslow's hierarchy of needs, that can capture a holistic view of relative changes in needs following the pandemic through a difference-in-differences approach that corrects for seasonality and query volume variations.
Edit intent: clarity
Original:  Here, we propose a computational framework, based on Maslow's hierarchy of needs, that can characterize a holistic view of relative changes in needs following the pandemic through a difference-in-differences approach that corrects for seasonality and query volume variations.
Revised:  Here, we propose a computational framework, based on Maslow's hierarchy of needs, that can characterize a holistic view of relative changes in needs following the pandemic through a difference-in-differences approach that corrects for seasonality and volume variations.
Edit intent: clarity
Original:  We apply this framework to characterize changes in human needs across physiological, socioeconomic, and psychological realms in the US, based on more than 35 billion search interactions spanning over 36,000 ZIP codes over a period of 14 months.
Revised:  We apply this approach to characterize changes in human needs across physiological, socioeconomic, and psychological realms in the US, based on more than 35 billion search interactions spanning over 36,000 ZIP codes over a period of 14 months.
Edit intent: clarity
Original:  Our analyses reveal that the expression of basic human needs has increased exponentially while higher-level aspirations declined during the pandemic in comparison to the pre-pandemic period.
Revised:  The analyses reveal that the expression of basic human needs has increased exponentially while higher-level aspirations declined during the pandemic in comparison to the pre-pandemic period.
Edit intent: fluency
Original:  In exploring the timing and variations in statewide policies, we find that the duration of shelter-in-place mandates significantly influenced social and emotional needs  .
Revised:  In exploring the timing and variations in statewide policies, we find that the durations of shelter-in-place mandates significantly influenced social and emotional needs .
Edit intent: fluency
Original:  In exploring the timing and variations in statewide policies, we find that the duration of shelter-in-place mandates significantly influenced social and emotional needs  .
Revised:  In exploring the timing and variations in statewide policies, we find that the duration of shelter-in-place mandates have influenced social and emotional needs .
Edit intent: clarity
Original:  We demonstrate that potential barriers to addressing critical needs  such as support for unemployment and domestic violence  can be identified through web search interactions.
Revised:  We demonstrate that potential barriers to addressing critical needs , such as support for unemployment and domestic violence can be identified through web search interactions.
Edit intent: fluency
Original:  We demonstrate that potential barriers to addressing critical needs  such as support for unemployment and domestic violence  can be identified through web search interactions.
Revised:  We demonstrate that potential barriers to addressing critical needs such as support for unemployment and domestic violence , can be identified through web search interactions.
Edit intent: fluency
Original:  By rigorous error analysis, we first show that the ELRI scheme provides the first order accuracy in H^\gamma for initial data in H^{\gamma+1} for \gamma> \frac{3 . Moreover, by adding two more correction terms to the first order scheme, we show a second order ELRI that provides the second order accuracy in H^\gamma for initial data in H^{\gamma+3} \ge0 .
Revised:  By rigorous error analysis, we first show that the ELRI scheme provides the first order accuracy in H^\gamma for initial data in H^{\gamma+1} for \gamma> \frac{1 . Moreover, by adding two more correction terms to the first order scheme, we show a second order ELRI that provides the second order accuracy in H^\gamma for initial data in H^{\gamma+3} \ge0 .
Edit intent: fluency
Original:  By rigorous error analysis, we first show that the ELRI scheme provides the first order accuracy in H^\gamma for initial data in H^{\gamma+1} for \gamma> \frac{3 . Moreover, by adding two more correction terms to the first order scheme, we show a second order ELRI that provides the second order accuracy in H^\gamma for initial data in H^{\gamma+3} \ge0 .
Revised:  By rigorous error analysis, we first show that the ELRI scheme provides the first order accuracy in H^\gamma for initial data in H^{\gamma+1} for \gamma> \frac{3 . Moreover, by adding two more correction terms to the first order scheme, we show a second order ELRI that provides the second order accuracy in H^\gamma for initial data in H^{\gamma+3} for \gamma\ge0 .
Edit intent: clarity
Original:  The MTL frameworkuses two-step attention mechanism and reconstructs Time Frequency (T-F) representation of audio as the auxiliary task.
Revised:  The MTL frameworkuses two-step attention mechanism and reconstructs Time Frequency (T-F) reconstruction as the auxiliary task.
Edit intent: clarity
Original:  The results and ablation study performed demonstrates the usefulness of auto-encoder for auxiliary task and verifies that the output of decoder portion provides a cleaned Time Frequency (T-F) representation of audio/sources which can be further used for source separation .
Revised:  We carry out ablation study to determine the contribution of each auxiliary task and verifies that the output of decoder portion provides a cleaned Time Frequency (T-F) representation of audio/sources which can be further used for source separation .
Edit intent: clarity
Original:  The code is publicly released .
Revised:  The code is publicly released 
Edit intent: fluency
Original: More than ten years ago  , a new kind of graph coloring appeared in graph theory, which is called the {\it rainbow connection coloring} of graphs, and then followed by some other new concepts of graph colorings, such as {\it proper connection coloring, monochromatic connection coloring, and conflict-free connection coloring} of graphs.
Revised: More than ten years ago , a new kind of graph coloring appeared in graph theory, which is the {\it rainbow connection coloring} of graphs, and then followed by some other new concepts of graph colorings, such as {\it proper connection coloring, monochromatic connection coloring, and conflict-free connection coloring} of graphs.
Edit intent: coherence
Original:  Overall, CROW is able to generate diverse variants for 239 out of 303  (79\%) small programs.
Revised:  Overall, CROWis able to generate diverse variants for 239 out of 303 (79\%) small programs.
Edit intent: fluency
Original:  Overall, CROW is able to generate diverse variants for 239 out of 303  (79\%) small programs.
Revised:  Overall, CROW is able to generate diverse variants for 239 out of 303 , (79\%) small programs.
Edit intent: fluency
Original:  On libsodium, the execution trace changes up to 83.4\% .
Revised:  Furthermore, our experiments show that our approach and tool is able to successfully diversify off-the-shelf cryptographic software (libsodium) .
Edit intent: coherence
Original:  The adaptive algorithm relies on a recently introduced residual-based reliable a-posteriori error estimator.
Revised:  The adaptive algorithm relies on a recently introduced residual-based reliable a posteriori error estimator.
Edit intent: fluency
Original:  A sequent-style natural deduction proof system for this logic is given and, for this proof system, both a model-theoretic justification and a logical justification by means of an embedding into first-order classical logic is presented .
Revised:  A sequent-style natural deduction proof system for this logic is presented and, for this proof system, both a model-theoretic justification and a logical justification by means of an embedding into first-order classical logic is presented .
Edit intent: clarity
Original:  A sequent-style natural deduction proof system for this logic is given and, for this proof system, both a model-theoretic justification and a logical justification by means of an embedding into first-order classical logic is presented .
Revised:  A sequent-style natural deduction proof system for this logic is given and, for this proof system, both a model-theoretic justification and a logical justification by means of an embedding into first-order classical logic is given .
Edit intent: clarity
Original:  The presented embedding provides both a classical-logic explanation of this logic and a logical justification of its proof system  .
Revised:  The given embedding provides both a classical-logic explanation of this logic and a logical justification of its proof system .
Edit intent: clarity
Original:  We show that 2017 was the most turbulent  year for Trump , and that story generation slowed dramatically during the  COVID-19 pandemic in 2020.
Revised:  We show that 2017 was the most turbulent year for Trump . Story generation slowed dramatically during the COVID-19 pandemic in 2020.
Edit intent: coherence
Original:  Our methods may be applied to any well-discussed phenomenon, and have potential , in particular, to enable the computational aspects of journalism, history, and biography.
Revised:  Our methods may be applied to any well-discussed phenomenon, and have potential to enable the computational aspects of journalism, history, and biography.
Edit intent: coherence
Original:  Story generation slowed dramatically during the  major waves of the COVID-19 pandemic in 2020 , with rapid turnover returning first with the Black Lives Matter protests following George Floyd's murder and then later by events leading up to and following the presidential election.
Revised:  Story generation slowed dramatically during the major waves of the COVID-19 pandemic , with rapid turnover returning first with the Black Lives Matter protests following George Floyd's murder and then later by events leading up to and following the presidential election.
Edit intent: coherence
Original:  The fraction \tau of CFP's time slots in a dataframe is a critical value, because it directly influences agility and throughput.
Revised:  The fraction \tau of CFP's time slots in a dataframe is a critical value, because it directly influences agility and throughput.
Edit intent: fluency
Original:  A high throughput demands that the CFP is much longer than the CAP, i.e., a high value of the fraction \tau , because application data is only sent during the CFP.
Revised:  A high throughput demands that the CFP is much longer than the CAP, i.e., a high value of the fraction \tau , because application data is only sent during the CFP.
Edit intent: fluency
Original:  High agility is given if the expected waiting time to send a CAP message is short and that the length of the CAPs are sufficiently long to accommodate necessary (de)allocations of GTSs, i.e., a low value of the fraction \tau .
Revised:  High agility is given if the expected waiting time to send a CAP message is short and that the length of the CAPs are sufficiently long to accommodate necessary (de)allocations of GTSs, i.e., a low value of the fraction \tau .
Edit intent: fluency
Original:  Once DSME is configured according to the needs of an application, the fraction \tau can only assume one of two values and cannot be changed at run-time.
Revised:  Once DSME is configured according to the needs of an application, the fraction \tau can only assume one of two values and cannot be changed at run-time.
Edit intent: fluency