wanyu/IteraTeR_v2 huggingface dataset:
Original:  By implementing sparse matrix operations and some machine learning applications in our reversible eDSL NiLang, and benchmark the performance with state-of-the-art AD frameworks, our answer is a clear positive.
Revised:  By implementing sparse matrix operations and some machine learning applications to show that our framework has the state-of-the-art AD frameworks, our answer is a clear positive.
Edit intent: clarity
Original:   SCL(T) can be turned into a decision procedure if the considered combination of a first-order logic modulo a background theory enjoys an abstract finite model property.
Revised:  Moreover, SCL(T) can be turned into a decision procedure if the considered combination of a first-order logic modulo a background theory enjoys an abstract finite model property.
Edit intent: coherence
Original: Optimal viewpoint prediction is an essential task in many computer graphicsapplications .
Revised: Optimal viewpoint prediction is an essential task in many computer graphics applications .
Edit intent: fluency
Original:  Unfortunately, common viewpoint qualities suffer from majordrawbacks : dependency on clean surface meshes, which are not alwaysavailable, insensitivity to upright orientation, and the lack of closed-formexpressions , which requires a costly sampling process involving rendering.
Revised:  Unfortunately, common viewpoint qualities suffer from two major drawbacks : dependency on clean surface meshes, which are not alwaysavailable, insensitivity to upright orientation, and the lack of closed-formexpressions , which requires a costly sampling process involving rendering.
Edit intent: clarity
Original:  Unfortunately, common viewpoint qualities suffer from majordrawbacks : dependency on clean surface meshes, which are not alwaysavailable, insensitivity to upright orientation, and the lack of closed-formexpressions , which requires a costly sampling process involving rendering.
Revised:  Unfortunately, common viewpoint qualities suffer from majordrawbacks : dependency on clean surface meshes, which are not always available, and the lack of closed-formexpressions , which requires a costly sampling process involving rendering.
Edit intent: clarity
Original:  Unfortunately, common viewpoint qualities suffer from majordrawbacks : dependency on clean surface meshes, which are not alwaysavailable, insensitivity to upright orientation, and the lack of closed-formexpressions , which requires a costly sampling process involving rendering.
Revised:  Unfortunately, common viewpoint qualities suffer from majordrawbacks : dependency on clean surface meshes, which are not alwaysavailable, insensitivity to upright orientation, and the lack of closed-form expressions , which requires a costly sampling process involving rendering.
Edit intent: fluency
Original:  Unfortunately, common viewpoint qualities suffer from majordrawbacks : dependency on clean surface meshes, which are not alwaysavailable, insensitivity to upright orientation, and the lack of closed-formexpressions , which requires a costly sampling process involving rendering.
Revised:  Unfortunately, common viewpoint qualities suffer from majordrawbacks : dependency on clean surface meshes, which are not alwaysavailable, insensitivity to upright orientation, and the lack of closed-formexpressions , which requires a costly search involving rendering.
Edit intent: clarity
Original:  We overcome these limitations through a 3D deep learning approach, whichsolely exploits vertex coordinate information to predict optimal viewpointsunder upright orientation, while reflecting both informational content andhuman preference analysis.
Revised:  To overcome these limitations through a 3D deep learning approach, whichsolely exploits vertex coordinate information to predict optimal viewpointsunder upright orientation, while reflecting both informational content andhuman preference analysis.
Edit intent: fluency
Original:  We show how the pro-posed technology enables learned prediction from model to viewpoints fordifferent object categories and  viewpoint qualities.
Revised:  We show how the pro-posed technology enables learned prediction from model to viewpoints fordifferent object categories and for different viewpoint qualities.
Edit intent: fluency
Original:  Additionally, we showthat prediction times are reduced from several minutes to a fraction of asecond , as compared to  viewpoint quality evaluation.
Revised:  Additionally, we show that prediction times are reduced from several minutes to a fraction of asecond , as compared to viewpoint quality evaluation.
Edit intent: fluency
Original:  Additionally, we showthat prediction times are reduced from several minutes to a fraction of asecond , as compared to  viewpoint quality evaluation.
Revised:  Additionally, we showthat prediction times are reduced from several minutes to a fraction of a second , as compared to viewpoint quality evaluation.
Edit intent: fluency
Original:  We will release thecode and training data, which will to our knowledge be the biggest viewpointquality dataset available.
Revised:  We will further release the code and training data, which will to our knowledge be the biggest viewpointquality dataset available.
Edit intent: clarity
Original:  We will release thecode and training data, which will to our knowledge be the biggest viewpointquality dataset available.
Revised:  We will release thecode and training data, which will to our knowledge be the biggest viewpoint quality dataset available.
Edit intent: fluency
Original:  While this can be done when there are simplistic assortment choices to be made,  imposing constraints on the collection of feasible assortments gives more flexibility to incorporate insights of store-managers and historically well-performing assortments.
Revised:  While this can be done when there are simplistic assortment choices to be made, imposing constraints on the collection of relevant assortments based on insights by store-managers and historically well-performing assortments.
Edit intent: clarity
Original:  We design fast and flexible algorithms based on variations of binary search that find the revenue of the (approximately) optimal assortment  .
Revised:  We design fast and flexible algorithms based on variations of binary search that find the (approximately) optimal assortment .
Edit intent: clarity
Original:  We speed up the comparisons steps using novel vector space embeddings, based on advances in the fields of information retrieval and machine learning.
Revised:  We speed up the comparisons steps using novel vector space embeddings, based on advances in the fields of information retrieval / machine learning.
Edit intent: fluency
Original:  For an arbitrary collection of assortments, our algorithms can find a solution in time that is sub-linear in the number of assortments  and for the simpler case of cardinality constraints - linear in the number of items (existing methods are quadratic or worse).
Revised:  For an arbitrary collection of assortments, our algorithms can find a solution in time that is sub-linear in the number of assortments , and for the simpler case of cardinality constraints - linear in the number of items (existing methods are quadratic or worse).
Edit intent: fluency
Original:  Empirical validations using  the Billion Prices dataset and several retail transaction datasets  show that our algorithms are competitive even when the number of items is \sim 10^5 ( 100x larger instances than previously studied).
Revised:  Empirical validations using the Billion Prices dataset and several retail transaction datasets ) show that our algorithms are competitive even when the number of items is \sim 10^5 ( 100x larger instances than previously studied).
Edit intent: fluency
Original:  In an arc-RAC drawing, edges are drawn as circular arcs whereas crossings must still form right angles.
Revised:  A graph is arc-RAC drawing, edges are drawn as circular arcs whereas crossings must still form right angles.
Edit intent: clarity
Original:  In an arc-RAC drawing, edges are drawn as circular arcs whereas crossings must still form right angles.
Revised:  In an arc-RAC if it admits a drawing where edges are represented by circular arcs and crossings form right angles.
Edit intent: clarity
Original: Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of  activity on the anatomical, or structural network of synaptic connections , which possess a hierarchical organization .
Revised: Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the anatomical, or structural network of synaptic connections , which possess a hierarchical organization .
Edit intent: clarity
Original:  While it is assumed that structural networks shape their functional counterparts, it is also hypothesized that alterations of brain activity may come with transformations of functional connectivity , and possibly its deviation from the hierarchical topology .
Revised:  While it is assumed that structural networks shape their functional counterparts, it is also hypothesized that alterations of brain dynamics come with transformations of functional connectivity , and possibly its deviation from the hierarchical topology .
Edit intent: clarity
Original:  While it is assumed that structural networks shape their functional counterparts, it is also hypothesized that alterations of brain activity may come with transformations of functional connectivity , and possibly its deviation from the hierarchical topology .
Revised:  While it is assumed that structural networks shape their functional counterparts, it is also hypothesized that alterations of brain activity may come with transformations of functional connectivity .
Edit intent: coherence
Original:  In this computational study, we introduce a novel methodology to monitor the persistence and breakdown of hierarchical order in functional networks, generated from simulations of activity spreading on both synthetic and real structural connectomes.
Revised:  In this computational study, we introduce a novel methodology to monitor the persistence and breakdown of hierarchical order in functional networks, generated from computational models of activity spreading on both synthetic and real structural connectomes.
Edit intent: clarity
Original: Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the anatomical, or structural network of synaptic connections.
Revised: Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections.
Edit intent: clarity
Original:  This last is well known to be organized in hierarchical and modular way.
Revised:  This latter is well known to be organized in hierarchical and modular way.
Edit intent: clarity
Original:  We conclude that functional connectivity patterns achieve optimal balance between local specialized processing  and global integration , by inheriting the hierarchical organization of the underlying structural architecture.
Revised:  We conclude that functional connectivity patterns achieve optimal balance between local specialized processing and global integration by inheriting the hierarchical organization of the underlying structural architecture.
Edit intent: fluency
Original:  We then derive the degradation function and the threshold fracture energy of the phase-field model such that the stress-strain behavior is insensitive to the length parameter for phase-field regularization.
Revised:  We then derive the degradation function and the threshold fracture energy of the phase-field model such that the stress--strain behavior is insensitive to the length parameter for phase-field regularization.
Edit intent: fluency
Original:  We then derive the degradation function and the threshold fracture energy of the phase-field model such that the stress--strain behavior is insensitive to the length parameter for phase-field regularization.
Revised:  We then derive the degradation function and the threshold fracture energy of the phase-field model such that the stress-strain behavior is insensitive to the length parameter for phase-field regularization.
Edit intent: fluency
Original:  Numerical examples showcase that the proposed phase-field model is a physically sound and numerically efficient method for simulating shear fracture processes in geomaterials , such as faulting and slip surface growth.
Revised:  Numerical examples showcase that the proposed phase-field model is a physically sound and numerically efficient method for simulating shear fracture processes in geologic materials , such as faulting and slip surface growth.
Edit intent: clarity
Original:  If  there exists an integer k such that , for n sufficiently large, every 2-coloring of K_n with more than k edges in each color class contains a balanced copy of G, then we say that G is balanceable.
Revised:  If , for every sufficiently large n, there exists an integer k such that , for n sufficiently large, every 2-coloring of K_n with more than k edges in each color class contains a balanced copy of G, then we say that G is balanceable.
Edit intent: clarity
Original:  If  there exists an integer k such that , for n sufficiently large, every 2-coloring of K_n with more than k edges in each color class contains a balanced copy of G, then we say that G is balanceable.
Revised:  If there exists an integer k such that every 2-coloring of K_n with more than k edges in each color class contains a balanced copy of G, then we say that G is balanceable.
Edit intent: clarity
Original:  We use those conditions to fully characterize the balanceability of graph classes such as circulant graphs, rectangular and triangular grids  .
Revised:  We use those conditions to fully characterize the balanceability of graph classes such as rectangular and triangular grids .
Edit intent: clarity
Original:  Our algorithm relies on developing an interior point method--based framework which acts on the space of circulations in the underlying graph.
Revised:  Our algorithm relies on developing an interior point method-based framework which acts on the space of circulations in the underlying graph.
Edit intent: fluency
Original: SREC markets are a market-based system designed to incentivize solar energy generation.
Revised: Solar Renewable Energy Certificate (SREC) markets are a market-based system designed to incentivize solar energy generation.
Edit intent: clarity
Original:   Using techniques from variational analysis, we characterize firms' optimal controls as the solution of a new class of McKean-Vlasov FBSDE and determine the equilibrium SREC price.
Revised:  Using techniques from variational analysis, we characterize firms' optimal controls as the solution of McKean-Vlasov FBSDE and determine the equilibrium SREC price.
Edit intent: clarity
Original:  We  further prove that MFG strategy has the \epsilon-Nash property for the finite player game.
Revised:  We further prove that the MFG strategies have the \epsilon-Nash property for the finite player game.
Edit intent: fluency
Original:  Finally, we numerically solve the MV-FBSDEs and conclude by demonstrating how firms behave in equilibrium using simulated examples.
Revised:  Finally, we develop a numerical scheme for solving the MV-FBSDEs and conclude by demonstrating how firms behave in equilibrium using simulated examples.
Edit intent: clarity
Original: Solar Renewable Energy Certificate (SREC) markets are a market-based system designed to incentivize solar energy generation.
Revised: Solar Renewable Energy Certificate (SREC) markets are a market-based system that incentivizes solar energy generation.
Edit intent: clarity
Original:  A regulatory body imposes a lower bound on the amount of energy each regulated firm must generate via solar means, providing them with a  certificate for each MWh generated.
Revised:  A regulatory body imposes a lower bound on the amount of energy each regulated firm must generate via solar means, providing them with a tradeable certificate for each MWh generated.
Edit intent: clarity
Original:  Regulated firms seek to navigate the market to minimize the cost imposed on them, by modulating their SREC generation and trading activities .
Revised:  Firms seek to navigate the market to minimize the cost imposed on them, by modulating their SREC generation and trading activities .
Edit intent: clarity
Original:  Regulated firms seek to navigate the market to minimize the cost imposed on them, by modulating their SREC generation and trading activities .
Revised:  Regulated firms seek to navigate the market optimally by modulating their SREC generation and trading activities .
Edit intent: clarity
Original:  Regulated firms seek to navigate the market to minimize the cost imposed on them, by modulating their SREC generation and trading activities .
Revised:  Regulated firms seek to navigate the market to minimize the cost imposed on them, by modulating their SREC generation and trading rates .
Edit intent: clarity
Original:  As such, the SREC market can be viewed through the lens of a large stochastic gamewith heterogeneous agents , where agents interact through the market priceof the certificates .
Revised:  As such, the SREC market can be viewed as a stochastic game , where agents interact through the market priceof the certificates .
Edit intent: clarity
Original:  As such, the SREC market can be viewed through the lens of a large stochastic gamewith heterogeneous agents , where agents interact through the market priceof the certificates .
Revised:  As such, the SREC market can be viewed through the lens of a large stochastic gamewith heterogeneous agents , where agents interact through the SREC price .
Edit intent: clarity
Original:  Our market participants optimize costs accounting for trading frictions, cost of generation, non-linear non-compliance penalty , and generation uncertainty.
Revised:  Market participants optimize costs accounting for trading frictions, cost of generation, non-linear non-compliance penalty , and generation uncertainty.
Edit intent: clarity
Original:  Our market participants optimize costs accounting for trading frictions, cost of generation, non-linear non-compliance penalty , and generation uncertainty.
Revised:  Our market participants optimize costs accounting for trading frictions, cost of generation, non-linear non-compliance costs , and generation uncertainty.
Edit intent: clarity
Original:  Using techniques from variational analysis, we characterize firms' optimal controls as the solution of McKean-Vlasov (MV) FBSDEs and determine the equilibrium SREC price.
Revised:  We characterize firms' optimal controls as the solution of McKean-Vlasov (MV) FBSDEs and determine the equilibrium SREC price.
Edit intent: coherence
Original:  We establish the existence and uniqueness of a solution to this MV-FBSDE, and further prove that the MFG strategies have the \epsilon-Nash property for the finite player game.
Revised:  We establish the existence and uniqueness of a solution to this MV-FBSDE, and prove that the MFG strategies have the \epsilon-Nash property for the finite player game.
Edit intent: clarity
Original:  We establish the existence and uniqueness of a solution to this MV-FBSDE, and further prove that the MFG strategies have the \epsilon-Nash property for the finite player game.
Revised:  We establish the existence and uniqueness of a solution to this MV-FBSDE, and further prove that the MFG strategies form an \epsilon-Nash property for the finite player game.
Edit intent: clarity
Original:  We establish the existence and uniqueness of a solution to this MV-FBSDE, and further prove that the MFG strategies have the \epsilon-Nash property for the finite player game.
Revised:  We establish the existence and uniqueness of a solution to this MV-FBSDE, and further prove that the MFG strategies have the \epsilon-Nash equilibrium for the finite player game.
Edit intent: clarity
Original:  Finally, we develop a numerical scheme for solving the MV-FBSDEs and conclude by demonstrating how firms behave in equilibrium using simulated examples .
Revised:  Finally, we develop a numerical scheme for solving the MV-FBSDEs and conduct a simulation study .
Edit intent: clarity
Original:  Specifically, we first identify a standard single-task attention-based neural network architecture and then construct a customized multi-task architecture for the crisis domain: Multi-Task Domain Adversarial Attention Network .
Revised:  Specifically, we construct a customized multi-task architecture for the crisis domain: Multi-Task Domain Adversarial Attention Network .
Edit intent: coherence
Original: This paper investigates how air temperature and humidity influence the transmission of COVID-19.
Revised: This paper investigates the influence of air temperature and humidity influence the transmission of COVID-19.
Edit intent: fluency
Original: This paper investigates how air temperature and humidity influence the transmission of COVID-19.
Revised: This paper investigates how air temperature and relative humidity on the transmission of COVID-19.
Edit intent: clarity
Original:  This result is consistent with the fact that the high temperature and high humidity significantly reduce the transmission of influenza  .
Revised:  This result is consistent with the fact that the high temperature and high humidity reduce the transmission of influenza .
Edit intent: clarity
Original: With the ongoing global pandemic of COVID-19, a question is whether the coming summer in the northern hemisphere will reduce the transmission intensity of COVID-19 with increased humidity and temperature.
Revised: Objectives: We aim to assess the impact of temperature and relative humidity on the transmission of COVID-19 with increased humidity and temperature.
Edit intent: clarity
Original:  Hence, in this paper, we study the performance achieved in a Fabricnetwork using vertical scaling (i.e., by adding more vCPUs) and horizontal scaling (i. e., by adding more nodes) techniques.
Revised:  Hence, in this paper, we study the performance achieved in a Fabricnetwork using vertical scaling and horizontal scaling (i. e., by adding more nodes) techniques.
Edit intent: clarity
Original:  We observe that network scales very poorly with both of these techniques.
Revised:  We observe that network scales very poorly with these techniques.
Edit intent: clarity
Original:   With vertical scaling, due to serial execution of validation commit phases of transactions, the allocated vCPUs are underutilized.
Revised:  With vertical scaling, commit phases of transactions, the allocated vCPUs are underutilized.
Edit intent: clarity
Original:   With vertical scaling, due to serial execution of validation commit phases of transactions, the allocated vCPUs are underutilized.
Revised:  With vertical scaling, due to serial execution of validation the allocated vCPUs are underutilized.
Edit intent: clarity
Original:  With horizontal scaling,  due to redundant work between nodes , allocated resources are wasted though it is utilized.
Revised:  With horizontal scaling, the allocated resources get wasted due to redundant work between nodes , allocated resources are wasted though it is utilized.
Edit intent: clarity
Original:  To avoid redundant work performed between nodes and to quickly scale up a network, we propose a new type of peer node called sparse peer , which selective commits transactions.
Revised:  To avoid redundant work performed between nodes and to quickly scale up a network, we propose a new type of peer node called sparse peer that selectively commits transactions.
Edit intent: coherence
Original:  We ask the question: what is the amount of service that she can receive covertly, i.e. without being detected by Willie?
Revised:  We ask the question: what is the number of jobs that she can receive covertly, i.e. without being detected by Willie?
Edit intent: clarity