wanyu/IteraTeR_v2 huggingface dataset:
Original:  We make use of the basic idea of  manifold learning algorithm LPP ( locality preserving projection  ) to construct the corresponding Laplacian matrix on  SPD matrix Lie group.
Revised:  We make use of the basic idea of manifold learning algorithm called locality preserving projection ) to construct the corresponding Laplacian matrix on SPD matrix Lie group.
Edit intent: clarity
Original:  We make use of the basic idea of  manifold learning algorithm LPP ( locality preserving projection  ) to construct the corresponding Laplacian matrix on  SPD matrix Lie group.
Revised:  We make use of the basic idea of manifold learning algorithm LPP ( locality preserving projection ) to construct the corresponding Laplacian matrix on the SPD matrix Lie group.
Edit intent: fluency
Original:  Thus  we call our approach Lie-LPP to emphasize its Lie group character.
Revised:  Thus , we call our approach Lie-LPP to emphasize its Lie group character.
Edit intent: fluency
Original:  We also show by experiments that our approach achieves effective results on Human action recognition and Human face recognition.
Revised:  We also show by experiments that our approach achieves effective results on human action recognition and Human face recognition.
Edit intent: fluency
Original:  We also show by experiments that our approach achieves effective results on Human action recognition and Human face recognition.
Revised:  We also show by experiments that our approach achieves effective results on Human action recognition and human face recognition.
Edit intent: fluency
Original:  The labels have O(\log n) bits and the corresponding routing tables are of size O( \varepsilon^{-1 + 1 )\log n).
Revised:  The labels have O(\log n) bits , and the routing tables are of size O( \varepsilon^{-1 + 1 )\log n).
Edit intent: clarity
Original:  The labels have O(\log n) bits and the corresponding routing tables are of size O( \varepsilon^{-1 + 1 )\log n).
Revised:  The labels have O(\log n) bits and the corresponding routing tables are of size O( (\varepsilon^{-1 + 1 )\log n).
Edit intent: fluency
Original: Multicellular chemotaxis can occur via individually chemotaxing cells that are physically coupled.
Revised: Multicellular chemotaxis can occur via individually chemotaxing cells that are mechanically coupled.
Edit intent: fluency
Original:  However, the practical observation is that, at least for the most successful Deep Convolutional Neural Networks (DCNNs) for visual processing , practitioners can always increase the network size to fit the training data (an extreme example would be [1]).
Revised:  However, the practical observation is that, at least in the case of the most successful Deep Convolutional Neural Networks (DCNNs) for visual processing , practitioners can always increase the network size to fit the training data (an extreme example would be [1]).
Edit intent: clarity
Original:  However, the practical observation is that, at least for the most successful Deep Convolutional Neural Networks (DCNNs) for visual processing , practitioners can always increase the network size to fit the training data (an extreme example would be [1]).
Revised:  However, the practical observation is that, at least for the most successful Deep Convolutional Neural Networks (DCNNs) , practitioners can always increase the network size to fit the training data (an extreme example would be [1]).
Edit intent: clarity
Original:  The most successful DCNNs such as VGG and ResNets are best used with a small degree of "overparametrization".
Revised:  The most successful DCNNs such as VGG and ResNets are best used with a degree of "overparametrization".
Edit intent: clarity
Original:  The ]  same minimizers are degenerate and thus very likely to be found by SGD that will furthermore select with higher probability the  zero-minimizer with larger margin, as discussed in Theory III (to be released) .
Revised:  The ] same minimizers are degenerate and thus very likely to be found by SGD that will furthermore select with higher probability the zero-minimizer .
Edit intent: coherence
Original:  This framework is used to provide an automata-theoretic view on the approximation of multiple context-free languages  .
Revised:  This framework is used to provide automata-theoretic view on the approximation of multiple context-free languages .
Edit intent: fluency
Original:  This framework is used to provide an automata-theoretic view on the approximation of multiple context-free languages  .
Revised:  This framework is used to provide an automata-theoretic views on the approximation of multiple context-free languages .
Edit intent: fluency
Original: Electrostatic interactions play an important role in the structure and function of proteins.
Revised: Electrostatic interactions play a fundamental role in the structure and function of proteins.
Edit intent: clarity
Original:  Our findings could have important consequences for the study of protein-protein interactions and the assembly of both proteinaceous shells and patchy colloids with dissociable charge groups.
Revised:  Our findings imply important consequences for the study of protein-protein interactions and the assembly of both proteinaceous shells and patchy colloids with dissociable charge groups.
Edit intent: clarity
Original:  We show the effectiveness of this novel model through extensive experiments with multiple univariate and multivariate datasets .
Revised:  We show the effectiveness of this novel model through extensive experiments with multiple univariate and multivariate time series .
Edit intent: clarity
Original:  Nevertheless, they require important sub-iterations when dealing with highly nonlinear problems such as the combined heat and moisture transfer through porous building elements or when the whole-building is simulated and there is important coupling among the building elements themselves and among neighbouring zones and HVAC systems.
Revised:  Nevertheless, they require important sub-iterations when dealing with highly nonlinear problems such as the combined heat and moisture transfer through porous building elements or when the whole-building is simulated , especially when there is important coupling among the building elements themselves and among neighbouring zones and HVAC systems.
Edit intent: coherence
Original:  Nevertheless, they require important sub-iterations when dealing with highly nonlinear problems such as the combined heat and moisture transfer through porous building elements or when the whole-building is simulated and there is important coupling among the building elements themselves and among neighbouring zones and HVAC systems.
Revised:  Nevertheless, they require important sub-iterations when dealing with highly nonlinear problems such as the combined heat and moisture transfer through porous building elements or when the whole-building is simulated and there is important coupling among the building elements themselves with neighbouring zones and HVAC systems.
Edit intent: clarity
Original:  Nevertheless, they require important sub-iterations when dealing with highly nonlinear problems such as the combined heat and moisture transfer through porous building elements or when the whole-building is simulated and there is important coupling among the building elements themselves and among neighbouring zones and HVAC systems.
Revised:  Nevertheless, they require important sub-iterations when dealing with highly nonlinear problems such as the combined heat and moisture transfer through porous building elements or when the whole-building is simulated and there is important coupling among the building elements themselves and among neighbouring zones and with HVAC (Heating Ventilation and Air Conditioning) systems.
Edit intent: coherence
Original:  On the other hand, the classical explicit Euler scheme is generally not used because its stability condition imposes very fine time discretisation.
Revised:  On the other hand, the classical Euler explicit scheme is generally not used because its stability condition imposes very fine time discretisation.
Edit intent: fluency
Original:  The Dufort-Frankel approach is first compared to the classical  implicit and explicit Euler schemes to compute the solution of both linear and nonlinear heat and moisture transfer through porous materials.
Revised:  The Dufort-Frankel approach is first compared to the classical implicit and explicit schemes to compute the solution of both linear and nonlinear heat and moisture transfer through porous materials.
Edit intent: clarity
Original:  The Dufort-Frankel approach is first compared to the classical  implicit and explicit Euler schemes to compute the solution of both linear and nonlinear heat and moisture transfer through porous materials.
Revised:  The Dufort-Frankel approach is first compared to the classical implicit and explicit Euler schemes to compute the solution of nonlinear heat and moisture transfer through porous materials.
Edit intent: clarity
Original:  This approach may reduce the computational cost by twenty  as well as it may enable perfect synchronism for whole-building simulation and co-simulation .
Revised:  This approach may reduce the computational cost by twenty , as well as it may enable perfect synchronism for whole-building simulation and co-simulation .
Edit intent: fluency
Original: We analyze using computer simulations, the evolution of opinions in a population of individuals who constantly interact with a common source of user-generated content (i.e. the internet) and are also subject to propaganda  .
Revised: The evolution of opinions in a population of individuals who constantly interact with a common source of user-generated content (i.e. the internet) and are also subject to propaganda .
Edit intent: coherence
Original: We analyze using computer simulations, the evolution of opinions in a population of individuals who constantly interact with a common source of user-generated content (i.e. the internet) and are also subject to propaganda  .
Revised: We analyze using computer simulations, the evolution of opinions in a population of individuals who constantly interact with a common source of user-generated content (i.e. the internet) and are also subject to propaganda is analyzed using computer simulations .
Edit intent: clarity
Original:  On applying the model to simulate radicalization, we observe that a proportion of the online population, subject to extremist propaganda radicalize depending on their pre-conceived opinions and opinion uncertainty.
Revised:  On applying the model to simulate radicalization, a proportion of the online population, subject to extremist propaganda radicalize depending on their pre-conceived opinions and opinion uncertainty.
Edit intent: coherence
Original:  We observe that , an optimal counter propaganda that prevents radicalization is not necessarily centrist.
Revised:  It is found that an optimal counter propaganda that prevents radicalization is not necessarily centrist.
Edit intent: coherence
Original: The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions  and have applications in a wide variety of fields.
Revised: The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions , and have applications in a wide variety of fields.
Edit intent: fluency
Original: The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions  and have applications in a wide variety of fields.
Revised: The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions and have applications in a number of fields.
Edit intent: clarity
Original:  In this article, we develop a variable step size implicit-explicit time stepping scheme for the solution of the PNP-FBV equations .
Revised:  In this article, we develop an adaptive time-stepping scheme for the solution of the PNP-FBV equations .
Edit intent: clarity
Original:  In fact, we observe that when the underlying dynamics is one that would have the solutions converge to a steady state solution, the numerical simulation does not result in the time-step sizes growing larger along with the expected convergence.
Revised:  In fact, we observe that when the underlying dynamics is one that would have the solutions converge to a steady state solution, the time-step sizes growing larger along with the expected convergence.
Edit intent: clarity
Original:  We use a maximum a-posteriori (MAP) criterion with a simple language model in the training stage, and a standard HMM decoder without approximations.
Revised:  We use an MMI criterion with a simple language model in the training stage, and a standard HMM decoder without approximations.
Edit intent: clarity
Original:  The interplay of these elements leads to the emergence of adaptive behavior and intelligence , but the complexity of the whole system of interactions is an obstacle to the understanding of the key factors at play .
Revised:  The interplay of these elements leads to the emergence of adaptive behavior and intelligence .
Edit intent: clarity
Original:  Inspired by such intricate natural phenomena, Evolved Plastic Artificial Neural Networks (EPANNs) use simulated evolution in-silico to breed plastic neural networks  , artificial systems composed of sensors, outputs, and plastic components that change in response to sensory-output experiences in an environment.
Revised:  Inspired by such intricate natural phenomena, Evolved Plastic Artificial Neural Networks (EPANNs) use simulated evolution in-silico to breed plastic neural networks , outputs, and plastic components that change in response to sensory-output experiences in an environment.
Edit intent: clarity
Original:  Inspired by such intricate natural phenomena, Evolved Plastic Artificial Neural Networks (EPANNs) use simulated evolution in-silico to breed plastic neural networks  , artificial systems composed of sensors, outputs, and plastic components that change in response to sensory-output experiences in an environment.
Revised:  Inspired by such intricate natural phenomena, Evolved Plastic Artificial Neural Networks (EPANNs) use simulated evolution in-silico to breed plastic neural networks , artificial systems composed of sensors, outputs, and plastic components that change in response to experiences in an environment.
Edit intent: clarity
Original:  These systems may reveal key algorithmic ingredients of adaptation, autonomously discover novel adaptive algorithms, and lead to hypotheses on the emergence of biological adaptation.
Revised:  These systems may autonomously discover novel adaptive algorithms, and lead to hypotheses on the emergence of biological adaptation.
Edit intent: clarity
Original:  In particular, the limitations of hand-designed structures and algorithms currently used in most deep neural networks could be overcome by more flexible and innovative solutions.
Revised:  In particular, the limitations of hand-designed networks could be overcome by more flexible and innovative solutions.
Edit intent: clarity
Original:  The main computational methods and results are reviewed.
Revised:  The main methods and results are reviewed.
Edit intent: clarity
Original:  We present a physically grounded expression relating the value of the largest eigenvalue of any network to the largest eigenvalue of two network subgraphs, considered as isolated: The hub with its immediate neighbors and the densely connected set of nodes with maximum K-core index.
Revised:  We present a physically grounded expression relating the value of the largest eigenvalue of a given network to the largest eigenvalue of two network subgraphs, considered as isolated: The hub with its immediate neighbors and the densely connected set of nodes with maximum K-core index.
Edit intent: clarity
Original:  We validate this formula showing that it predicts with good accuracy the largest eigenvalue of a large set of synthetic and real-world topologies , with no exception .
Revised:  We validate this formula showing that it predicts with good accuracy the largest eigenvalue of a large set of synthetic and real-world topologies .
Edit intent: clarity
Original: We consider an energy harvesting (EH) transmitter communicating over a time-correlated wireless channel  .
Revised: An energy harvesting (EH) transmitter communicating over a time-correlated wireless channel .
Edit intent: clarity
Original:  The EH transmitter aims to maximize its long-term throughput by choosing one of the following actions: i) defer its transmission to save energy for future use, ii) transmit reliably at a low rate, iii) transmit at a high rate, and iv) sense the channel to reveal the channel state information at a cost of energy and transmission time, and then decide to defer or to transmit.
Revised:  The EH transmitter aims to maximize its long-term throughput by choosing one of the following actions: i) defer its transmission to save energy for future use, ii) transmit reliably at a low rate, iii) transmit at a high rate, and iv) sense the channel to reveal the channel state at a cost of energy and transmission time, and then decide to defer or to transmit.
Edit intent: clarity
Original:  Unfortunately, such static hashing may not yield an optimal degree of load balancing, e.g. ~ due to variations in server processing speeds or traffic patterns.
Revised:  Unfortunately, such static hashing may not yield an optimal degree of load balancing, e.g. , due to variations in server processing speeds or traffic patterns.
Edit intent: coherence
Original:  Surprisingly, we found that wave breakup plays no role whatsoever in maintaining spatiotemporal complexity.
Revised:  Surprisingly, we found that the process of continuous excitation waves breaking up into discontinuous pieces plays no role whatsoever in maintaining spatiotemporal complexity.
Edit intent: clarity
Original:  Instead this complexity is maintained as a dynamical balance between wave coalescence -- a unique, previously unidentified, topological process that increases the number of wavelets -- and wave collapse -- a different topological processes that decreases their number.
Revised:  Instead this complexity is maintained as a dynamical balance between wave coalescence -- a unique, previously unidentified, topological process that increases the number of wavelets -- and wave collapse -- a different topological process that decreases their number.
Edit intent: fluency
Original: In this report  we document our findings from deploying 88 cameras on 13 islands from 2014-2016 . We collected 92,694 photographs across 18,721 trap nights, including 3,591 wildlife events and 1, 070 carnivore events.
Revised: In this report , we document our findings from deploying 88 cameras on 13 islands from 2014-2016 . We collected 92,694 photographs across 18,721 trap nights, including 3,591 wildlife events and 1, 070 carnivore events.
Edit intent: fluency
Original:  We detected 27 species and 10 terrestrial carnivores , including surprising detections of American martens (Martes americana) and gray wolves (Canis lupus).
Revised:  We detected 10 terrestrial carnivores , including surprising detections of American martens (Martes americana) and gray wolves (Canis lupus).
Edit intent: coherence
Original:  Our observations of American martens, the only state endangered mammal in Wisconsin, are of particular interest because their presence was uncertain and their discovery may inform recovery efforts on the mainland.
Edit intent: coherence
Original:  The best single variable to explain carnivore richness on the Apostle Islands was island size, while the best model was island  size (positive correlation) and distance from mainland (negative correlation) (R2 = 0.92).
Revised:  The best single variable to explain carnivore richness on the Apostle Islands was island size, while the most supported model was island size (positive correlation) and distance from mainland (negative correlation) (R2 = 0.92).
Edit intent: clarity
Original:  The best single variable to explain carnivore richness on the Apostle Islands was island size, while the best model was island  size (positive correlation) and distance from mainland (negative correlation) (R2 = 0.92).
Revised:  The best single variable to explain carnivore richness on the Apostle Islands was island size, while the best model was island size (positive correlation) , distance to mainland (negative correlation) (R2 = 0.92).
Edit intent: fluency
Original:  Carnivore occupancy ranged from lows of 0.09 for gray wolves and 0.11 for weasels to a high of 0.82 for black bears  . Detection rates were significantly higher in summer than winter, ranging from 0.38 for red fox to 0.88 for black bear in summer, and from 0.01 for weasel to 0.20 for coyote in winter .
Revised:  Carnivore occupancy ranged from lows of 0.09 for gray wolves to a high of 0.82 for black bears . Detection rates were significantly higher in summer than winter, ranging from 0.38 for red fox to 0.88 for black bear in summer, and from 0.01 for weasel to 0.20 for coyote in winter .
Edit intent: clarity
Original:  Carnivore occupancy ranged from lows of 0.09 for gray wolves and 0.11 for weasels to a high of 0.82 for black bears  . Detection rates were significantly higher in summer than winter, ranging from 0.38 for red fox to 0.88 for black bear in summer, and from 0.01 for weasel to 0.20 for coyote in winter .
Revised:  Carnivore occupancy ranged from lows of 0.09 for gray wolves and 0.11 for weasels to a high of 0.82 for black bears . Detection rates for species were generally higher in summer than winter, ranging from 0.38 for red fox to 0.88 for black bear in summer, and from 0.01 for weasel to 0.20 for coyote in winter .
Edit intent: clarity
Original:  We detected  10 terrestrial carnivores among 21 unique species detected, including unanticipated detections of American martens (Martes americana) and gray wolves (Canis lupus).
Revised:  We detected 10 terrestrial carnivores , including surprising detections of American martens (Martes americana) and gray wolves (Canis lupus).
Edit intent: clarity
Original:  The most supported single variable to explain carnivore richness on the Apostle Islands was island size, while the most supported model was island biogeography, which included island size (positive correlation) , distance to mainland (negative correlation) , and distance to nearest island (negative correlation).
Revised:  The most supported single variable to explain carnivore richness on the Apostle Islands was island size, while the best model was island biogeography, which included island size (positive correlation) , distance to mainland (negative correlation) , and distance to nearest island (negative correlation).
Edit intent: clarity
Original:  The most supported single variable to explain carnivore richness on the Apostle Islands was island size, while the most supported model was island biogeography, which included island size (positive correlation) , distance to mainland (negative correlation) , and distance to nearest island (negative correlation).
Revised:  The most supported single variable to explain carnivore richness on the Apostle Islands was island size, while the most supported model was island size (positive correlation) , distance to mainland (negative correlation) , and distance to nearest island (negative correlation).
Edit intent: clarity
Original:  The most supported single variable to explain carnivore richness on the Apostle Islands was island size, while the most supported model was island biogeography, which included island size (positive correlation) , distance to mainland (negative correlation) , and distance to nearest island (negative correlation).
Revised:  The most supported single variable to explain carnivore richness on the Apostle Islands was island size, while the most supported model was island biogeography, which included island size (positive correlation) and distance from mainland (negative correlation) , and distance to nearest island (negative correlation).
Edit intent: coherence