wanyu/IteraTeR_v2 huggingface dataset:
Original:  We show that these convergences happen at a rate of O(%DIFDELCMD < \log t{t}%%% ) or O(%DIFDELCMD < \tfrac{(\log %DIFDELCMD < t)^2}{t}%%% ) in theory and quickly in real datasets .
Revised:  We show that these convergences happen at a rate of O(%DIFDELCMD < \log t{t}%%% %DIFDELCMD < \tfrac{(\log %DIFDELCMD < t)^2}{t}%%% ) in theory and quickly in real datasets .
Edit intent: coherence
Original:  The proposed approach  (1) provides a natural generalization of collocation kernel methods to nonlinear PDEs and IPs , (2) has guaranteed convergence  with a path to compute error bounds in the PDE setting, and (3) inherits the state-of-the-art computational complexity of linear solvers for dense kernel matrices.
Revised:  The proposed approach : (1) provides a natural generalization of collocation kernel methods to nonlinear PDEs and IPs , (2) has guaranteed convergence with a path to compute error bounds in the PDE setting, and (3) inherits the state-of-the-art computational complexity of linear solvers for dense kernel matrices.
Edit intent: fluency
Original:  The proposed approach  (1) provides a natural generalization of collocation kernel methods to nonlinear PDEs and IPs , (2) has guaranteed convergence  with a path to compute error bounds in the PDE setting, and (3) inherits the state-of-the-art computational complexity of linear solvers for dense kernel matrices.
Revised:  The proposed approach (1) provides a natural generalization of collocation kernel methods to nonlinear PDEs and IPs ; (2) has guaranteed convergence with a path to compute error bounds in the PDE setting, and (3) inherits the state-of-the-art computational complexity of linear solvers for dense kernel matrices.
Edit intent: fluency
Original:  The proposed approach  (1) provides a natural generalization of collocation kernel methods to nonlinear PDEs and IPs , (2) has guaranteed convergence  with a path to compute error bounds in the PDE setting, and (3) inherits the state-of-the-art computational complexity of linear solvers for dense kernel matrices.
Revised:  The proposed approach (1) provides a natural generalization of collocation kernel methods to nonlinear PDEs and IPs , (2) has guaranteed convergence with a path to compute error bounds for specific PDE approximations; (3) inherits the state-of-the-art computational complexity of linear solvers for dense kernel matrices.
Edit intent: clarity
Original:  The main idea of our method is to approximate the solution of a given PDE with a MAP estimator of a Gaussian process given the observation of the PDE at a finite number of collocation points.
Revised:  The main idea of our method is to approximate the solution of a given PDE with a MAP estimator of a Gaussian process conditioned on solving the PDE at a finite number of collocation points.
Edit intent: clarity
Original:  The reduced optimization problem has a quadratic loss and nonlinear constraints, and it is in turn solved with a variant of the Gauss-Newton method.
Revised:  The reduced optimization problem has the form of a quadratic objective function subject to nonlinear constraints; it is solved with a variant of the Gauss-Newton method.
Edit intent: clarity
Original:  The reduced optimization problem has a quadratic loss and nonlinear constraints, and it is in turn solved with a variant of the Gauss-Newton method.
Revised:  The reduced optimization problem has a quadratic loss and nonlinear constraints, and it is in turn solved with a variant of the Gauss--Newton method.
Edit intent: fluency
Original:  The resulting algorithm (a) can be interpreted as solving successive linearizations of the nonlinear PDE, and (b) is found in practice to converge in a small number (two to ten)of iterations in experiments conducted on a range of PDEs.
Revised:  The resulting algorithm (a) can be interpreted as solving successive linearizations of the nonlinear PDE, and (b) in practice is found to converge in a small number (two to ten)of iterations in experiments conducted on a range of PDEs.
Edit intent: fluency
Original:  The resulting algorithm (a) can be interpreted as solving successive linearizations of the nonlinear PDE, and (b) is found in practice to converge in a small number (two to ten)of iterations in experiments conducted on a range of PDEs.
Revised:  The resulting algorithm (a) can be interpreted as solving successive linearizations of the nonlinear PDE, and (b) is found in practice to converge in a small number of iterations (2 to 10), for a wide range of PDEs.
Edit intent: clarity
Original:  For IPs, while the traditional approach has been to iterate between the identifications of parameters in the PDEand the numerical approximation of its solution, our algorithm tackles both simultaneously.
Revised:  Most traditional approaches to IPs interleave parameter updates with numerical solution of the PDE; our algorithm solves for both parameter and PDE solution simultaneously.
Edit intent: clarity
Original:  The source of this paper is available  URL
Revised:  The source of this paper is available at: URL
Edit intent: clarity
Original: We present first results showing that it is possible to automatically discriminate between the coughing sounds produced by patients with tuberculosis (TB) and those produced by patients with other lung ailments in a real-world noisy environment.
Revised: Objective: The automatic discrimination between the coughing sounds produced by patients with tuberculosis (TB) and those produced by patients with other lung ailments in a real-world noisy environment.
Edit intent: clarity
Original:  Our experiments are based on a dataset of  cough recordings obtained in a real-world clinic setting from 16 patients confirmed to be suffering from TB and 33 patients that are suffering from respiratory conditions , confirmed as other than TB .
Revised:  Our experiments are based on a dataset of cough recordings obtained in a developing-world clinic from 16 patients confirmed to be suffering from TB and 33 patients that are suffering from respiratory conditions , confirmed as other than TB .
Edit intent: clarity
Original:  We have trained and evaluated several machine learning classifiers , including logistic regression (LR), support vector machines (SVM), k-nearest neighbour (KNN), multilayer perceptrons (MLP) and convolutional neural networks (CNN) inside a nested k-fold cross-validation and find that, although classification is possible in all cases, the best performance is achieved using the LRclassifier .
Revised:  We have trained and evaluated several machine learning classifiers : logistic regression (LR), support vector machines (SVM), k-nearest neighbour (KNN), multilayer perceptrons (MLP) and convolutional neural networks (CNN) inside a nested k-fold cross-validation and find that, although classification is possible in all cases, the best performance is achieved using the LRclassifier .
Edit intent: clarity
Original:  We have trained and evaluated several machine learning classifiers , including logistic regression (LR), support vector machines (SVM), k-nearest neighbour (KNN), multilayer perceptrons (MLP) and convolutional neural networks (CNN) inside a nested k-fold cross-validation and find that, although classification is possible in all cases, the best performance is achieved using the LRclassifier .
Revised:  We have trained and evaluated several machine learning classifiers , including logistic regression (LR), support vector machines (SVM), k-nearest neighbour (KNN), multilayer perceptrons (MLP) and convolutional neural networks (CNN) . Main Results: Although classification is possible in all cases, the best performance is achieved using the LRclassifier .
Edit intent: coherence
Original:  In combination with feature selection by sequential forward search (SFS), our best LR system achieves an area under the ROC curve (AUC) of 0.94 using 23 features selected from a set of 78 high-resolution mel-frequency cepstral coefficients (MFCCs).
Revised:  In combination with feature selection by sequential forward selection (SFS), our best LR system achieves an area under the ROC curve (AUC) of 0.94 using 23 features selected from a set of 78 high-resolution mel-frequency cepstral coefficients (MFCCs).
Edit intent: clarity
Original:  This system achieves a sensitivity of 93 \% at a specificity of 95\% and thus exceeds the \\%DIF > at a specificity of 95\\% and thus exceeds the 90\\%DIF < sensitivity at 70\% specificity specification considered by the WHOas minimal requirements for %DIF > sensitivity at 70\\% specificity specification considered by the World  community-based TB triage test.
Revised:  This system achieves a sensitivity of 93 \\%DIF > at a specificity of 95\\% and thus exceeds the 90\\%DIF < sensitivity at 70\% specificity specification considered by the WHOas minimal requirements for %DIF > sensitivity at 70\\% specificity specification considered by the World community-based TB triage test.
Edit intent: fluency
Original:  This system achieves a sensitivity of 93 \% at a specificity of 95\% and thus exceeds the \\%DIF > at a specificity of 95\\% and thus exceeds the 90\\%DIF < sensitivity at 70\% specificity specification considered by the WHOas minimal requirements for %DIF > sensitivity at 70\\% specificity specification considered by the World  community-based TB triage test.
Revised:  This system achieves a sensitivity of 93 \% at a specificity of 95\% and thus exceeds the \\%DIF > at a specificity of 95\\% and thus exceeds the 90\\%DIF < sensitivity at 70\% specificity specification considered by the WHOas minimal requirements for %DIF > sensitivity at 70\\% specificity specification considered by the World Health Organisation (WHO) as a minimal requirement for a community-based TB triage test.
Edit intent: clarity
Original:  We conclude that automatic classification of cough audio sounds is promising as a viable means of low-cost easily-deployable front-line screening for TB, which will greatly benefit developing countries with a heavy TB burden.
Revised:  Significance: The automatic classification of cough audio sounds is promising as a viable means of low-cost easily-deployable front-line screening for TB, which will greatly benefit developing countries with a heavy TB burden.
Edit intent: coherence
Original:  We conclude that automatic classification of cough audio sounds is promising as a viable means of low-cost easily-deployable front-line screening for TB, which will greatly benefit developing countries with a heavy TB burden.
Revised:  We conclude that automatic classification of cough audio sounds is promising as a viable means of low cost, easily deployable frontline screening for TB, which will greatly benefit developing countries with a heavy TB burden.
Edit intent: clarity
Original:  We conclude that automatic classification of cough audio sounds is promising as a viable means of low-cost easily-deployable front-line screening for TB, which will greatly benefit developing countries with a heavy TB burden.
Revised:  We conclude that automatic classification of cough audio sounds is promising as a viable means of low-cost easily-deployable front-line screening for TB, which can benefit especially developing countries with a heavy TB burden.
Edit intent: clarity
Original:  Considering a Gilbert-Elliot channel model, information freshness is evaluated through a penalty function that follows a power law of the time elapsed since the last received update, generalizing the age of information metric .
Revised:  Considering a Gilbert- Elliot channel model, information freshness is evaluated through a penalty function that follows a power law of the time elapsed since the last received update, generalizing the age of information metric .
Edit intent: fluency
Original:  Considering a Gilbert-Elliot channel model, information freshness is evaluated through a penalty function that follows a power law of the time elapsed since the last received update, generalizing the age of information metric .
Revised:  Considering a Gilbert-Elliot channel model, information freshness is evaluated through a penalty function that follows a power law of the time elapsed since the last received update, generalizing the age of information .
Edit intent: clarity
Original:  We also prove analogous characterizations for totally non-positive matrices.
Revised:  We also show analogous characterizations for totally non-positive matrices.
Edit intent: clarity
Original:  These novel characterizations may be considered similar in spirit to fundamental results characterizing totally positive matrices by Brown-Johnstone-MacGibbon [J. Amer.
Revised:  These novel characterizations may be considered similar in spirit to fundamental results characterizing totally positive matrices by Brown--Johnstone--MacGibbon [J. Amer.
Edit intent: fluency
Original:  1981] (see also Gantmacher-Krein , 1950), Choudhury-Kannan-Khare [Bull.
Revised:  1981] (see also Gantmacher--Krein , 1950), Choudhury-Kannan-Khare [Bull.
Edit intent: fluency
Original:  1981] (see also Gantmacher-Krein , 1950), Choudhury-Kannan-Khare [Bull.
Revised:  1981] (see also Gantmacher-Krein , 1950), Choudhury--Kannan--Khare [Bull.
Edit intent: fluency
Original: The ability to perceive object slip through tactile feedback allows humans to accomplish complex manipulation tasks including maintaining a stable grasp.
Edit intent: clarity
Original:  Despite the utility of tactile information for many robotics applications , tactile sensors have yet to be widely deployed in industrial  settings -- part of the challenge lies in identifying slip and other key events from the tactile data stream.
Revised:  Despite the utility of tactile information , tactile sensors have yet to be widely deployed in industrial settings -- part of the challenge lies in identifying slip and other key events from the tactile data stream.
Edit intent: clarity
Original:  These sensors have many desirable properties including high reliability and durability, and are built from very inexpensive components .
Revised:  These sensors have many desirable properties including high reliability and durability, a very slim profile, and a low cost .
Edit intent: clarity
Original:  We are able to achieve slip detection accuracies of greater than 91\% while displaying robustness to the speed and direction of the slip motion.
Revised:  We are able to achieve slip detection accuracies of greater than 91\% while being robust to the speed and direction of the slip motion.
Edit intent: clarity
Original:  Further, we test our detector on two robot manipulation tasks involving a variety of common objects and demonstrate successful generalization to real-world scenarios not seen during training.
Revised:  Further, we test our detector on two robot manipulation tasks involving common household objects and demonstrate successful generalization to real-world scenarios not seen during training.
Edit intent: clarity
Original:  We show that barometric tactile sensing technology, combined with data-driven learning, is potentially suitable for many complex manipulation tasks such as slip compensation.
Revised:  We show that barometric tactile sensing technology, combined with data-driven learning, is potentially suitable for complex manipulation tasks such as slip compensation.
Edit intent: clarity
Original: Despite the utility of tactile information, tactile sensors have yet to be widely deployed in industrial robotics settings -- part of the challenge lies in identifying slip and other key events from the tactile data stream.
Revised: Despite the utility of tactile information, tactile sensors have yet to be widely deployed in industrial robotics settings . Part of the challenge lies in identifying slip and other key events from the tactile data stream.
Edit intent: fluency
Original: The theory of learning in games has extensively studied situations where agents respond dynamically to each other in light of a fixed utility function.
Revised: The theory of learning in games has extensively studied situations where agents respond dynamically to each other by optimizing a fixed utility function.
Edit intent: clarity
Original:  We then apply this framework to a simple dynamic game-theoretic model of social precautions in an epidemic and give conditions under which maximally-cautious social behavior in this model is stochastically stable.
Revised:  As a case study, we apply this framework to a simple dynamic game-theoretic model of social precautions in an epidemic and give conditions under which maximally-cautious social behavior in this model is stochastically stable.
Edit intent: clarity
Original:  We then apply this framework to a simple dynamic game-theoretic model of social precautions in an epidemic and give conditions under which maximally-cautious social behavior in this model is stochastically stable.
Revised:  We then apply this framework to a simple dynamic game-theoretic model of social precautions in an epidemic and give conditions under which maximally cautious social behavior in this model is stochastically stable.
Edit intent: fluency
Original:  Given a sequence of camera-in-hand RGB images, the system calculates three types of information: 1) a point cloud representation of all the surfaces in the scene, for the purpose of obstacle avoidance . 2) the rough pose of unknown objects from categories corresponding to primitive shapes (e.g., cuboids and cylinders) , and 3) full 6-DoF pose of known objects.
Revised:  Given a sequence of camera-in-hand RGB images, the system calculates three types of information: 1) a point cloud representation of all the surfaces in the scene, for the purpose of obstacle avoidance ; 2) the rough pose of unknown objects from categories corresponding to primitive shapes (e.g., cuboids and cylinders) , and 3) full 6-DoF pose of known objects.
Edit intent: fluency
Original:  Given a sequence of camera-in-hand RGB images, the system calculates three types of information: 1) a point cloud representation of all the surfaces in the scene, for the purpose of obstacle avoidance . 2) the rough pose of unknown objects from categories corresponding to primitive shapes (e.g., cuboids and cylinders) , and 3) full 6-DoF pose of known objects.
Revised:  Given a sequence of camera-in-hand RGB images, the system calculates three types of information: 1) a point cloud representation of all the surfaces in the scene, for the purpose of obstacle avoidance . 2) the rough pose of unknown objects from categories corresponding to primitive shapes (e.g., cuboids and cylinders) ; and 3) full 6-DoF pose of known objects.
Edit intent: fluency
Original:  In order to improve this situation, image analysis-based microorganism counting systems are developed since 1980s, which consists of digital image processing, image segmentation, image classification and so on.
Revised:  In order to improve this situation, image analysis is applied for microorganism counting since the 1980s, which consists of digital image processing, image segmentation, image classification and so on.
Edit intent: clarity
Original:  Moreover, commonly used image processing methods for microorganism counting are summarized and analyzed to find technological common points.
Revised:  Moreover, commonly used image processing methods for microorganism counting are summarized and analyzed to find common technological points.
Edit intent: fluency
Original:  In conclusion, this article can be referred to researchers to determine the development trend in microorganism countingfield and further analyze the potential applications
Revised:  In conclusion, this paper provides new ideas for the future development trend of microorganism counting, and provides systematic suggestions for implementing integrated microorganism counting systems in the future. Researchers in other fields can refer to the techniques analyzed in this paper.
Edit intent: clarity
Original: In this paper  we focus on the tempered subdiffusive Black-Scholes (tsB-S) model.
Revised: In this paper , we focus on the tempered subdiffusive Black-Scholes (tsB-S) model.
Edit intent: fluency
Original:  Further , we provide the stability and convergence analysis.
Revised:  Furthermore , we provide the stability and convergence analysis.
Edit intent: coherence
Original:  On a non-reducible 1D heat transfer problem , our physics-informed clustering strategy significantly outperforms classic strategies for the construction of local reduced-order bases in terms of projection errors . Keywords: local reduced-order bases, cluster analysis, dissimilarity measures, ROM-nets .
Revised:  On a non-reducible 1D heat transfer problem , our physics-informed clustering strategy significantly outperforms classic strategies for the construction of local reduced-order bases in terms of projection errors .
Edit intent: clarity
Original:  A digital twin in the form of a finite element model, as used in design and construction, can help in making sense of the copious amount of collected sensor data.
Revised:  A digital twin in the form of a finite element model, as used in design and construction, can help make sense of the copious amount of collected sensor data.
Edit intent: fluency
Original:  This study demonstrates the application of the statistical finite element method (statFEM), which provides a consistent and principled means for synthesising data and physics-based models, in developing a digital twin of an instrumented railway bridge.
Revised:  This paper demonstrates the application of the statistical finite element method (statFEM), which provides a consistent and principled means for synthesising data and physics-based models, in developing a digital twin of an instrumented railway bridge.
Edit intent: clarity
Original:  The considered structure is a steel skewed half-through bridge of 27.34 m length located along the West Coast Mainline near Staffordshire in the UK  . Using strain data captured from fibre Bragg grating (FBG) sensors at 108 locations along the bridge superstructure, statFEM can predict the `true' system response while taking into account the uncertainties in sensor readings, applied loading and finite element model misspecification errors.
Revised:  The considered structure is a steel skewed half-through bridge of 27.34 m length located along the West Coast Mainline near Staffordshire in the UK is considered . Using strain data captured from fibre Bragg grating (FBG) sensors at 108 locations along the bridge superstructure, statFEM can predict the `true' system response while taking into account the uncertainties in sensor readings, applied loading and finite element model misspecification errors.
Edit intent: clarity
Original:  The implications for long-term structural health monitoring and assessment include optimization of sensor placement, and performing more reliable what-if analyses at locations and under loading scenarios for which no measurement data is available.
Revised:  The implications for long-term structural health monitoring and assessment include optimisation of sensor placement, and performing more reliable what-if analyses at locations and under loading scenarios for which no measurement data is available.
Edit intent: fluency
Original:  When there is no alternate of quantifier , one has a one block quantifier elimination problem.
Revised:  When there is no alternation of quantifiers , one has a one block quantifier elimination problem.
Edit intent: fluency
Original:   We design a new practically efficient algorithm for solving one block quantifier elimination problems when the input semi-algebraic formula is a system of polynomial equations satisfying some mild assumptionssuch as transversality .
Revised:  We design a new practically efficient algorithm for solving one block quantifier elimination problems when the input is a system of polynomial equations satisfying some mild assumptionssuch as transversality .
Edit intent: clarity