wanyu/IteraTeR_v2 huggingface dataset:
Original: Fractional-order dynamical systems are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of cyber-physical systems . Notable examples include networked control systems or neurophysiological signals such as electroencephalogram (EEG)  . As a result, the estimation of states of a fractional-order dynamical system becomes an important problem to be solved .
Revised: Fractional-order dynamical systems are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of cyber-physical systems . Notable examples include networked control systems or neurophysiological signals such as electroencephalogram (EEG) . As a result, the estimation of the states of fractional-order dynamical system becomes an important problem to be solved .
Edit intent: fluency
Original: Fractional-order dynamical systems are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of cyber-physical systems . Notable examples include networked control systems or neurophysiological signals such as electroencephalogram (EEG)  . As a result, the estimation of states of a fractional-order dynamical system becomes an important problem to be solved .
Revised: Fractional-order dynamical systems are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of cyber-physical systems . Notable examples include networked control systems or neurophysiological signals such as electroencephalogram (EEG) . As a result, the estimation of states of a fractional-order dynamical networks poses an important problem to be solved .
Edit intent: clarity
Original: Fractional-order dynamical systems are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of cyber-physical systems . Notable examples include networked control systems or neurophysiological signals such as electroencephalogram (EEG)  . As a result, the estimation of states of a fractional-order dynamical system becomes an important problem to be solved .
Revised: Fractional-order dynamical systems are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of cyber-physical systems . Notable examples include networked control systems or neurophysiological signals such as electroencephalogram (EEG) . As a result, the estimation of states of a fractional-order dynamical system becomes an important problem .
Edit intent: clarity
Original:  The resulting estimation error is proved to be exponentially input-to-state stable with respect to the disturbances and to a signal that is decreasing with the increase of the accuracy of the adopted approximation model.
Revised:  The resulting estimation error is exponentially input-to-state stable with respect to the disturbances and to a signal that is decreasing with the increase of the accuracy of the adopted approximation model.
Edit intent: coherence
Original:  An illustrative example shows the effectiveness of the proposed method on real-world neurophysiological EEG signals .
Revised:  An illustrative example shows the effectiveness of the proposed method on real-world neurophysiological networks .
Edit intent: clarity
Original: We propose a neural model of multi-spin interacting system simulating neurons that interact each other through the surroundings .
Revised: We propose a neural network model of multi-neuron interacting system that simulates neurons to interact each other through the surroundings .
Edit intent: clarity
Original:  The action potential is taken into account for simulating the environmental effect from the surroundings, which mimics the neural firing mechanism.
Edit intent: coherence
Original:  A Monte-Carlo method to solve the discrete stochastic optimal control problem is proposed.
Edit intent: coherence
Original: In many real world problems, we want to infer some property of an expensive black-box function f, given a budget of T function evaluations.
Revised: In many real-world problems, we want to infer some property of an expensive black-box function f, given a budget of T function evaluations.
Edit intent: fluency
Original:  We train and probe internal representations on two models -- a bare GAN architecture and a ciwGAN extension which forces the Generator to output informative data and results in emergence of linguistically meaningful representations.
Revised:  We train and probe internal representations on two models -- a bare WaveGAN architecture and a ciwGAN extension which forces the Generator to output informative data and results in emergence of linguistically meaningful representations.
Edit intent: fluency
Original: We present a self-improving, neural tree expansion method for multi-robot online planning in non-cooperative environments, where each robot tries to maximize its cumulative reward while interacting with other self-interested robots.
Revised: We present a self-improving, neural tree expansion method for multi-robot online planning in non-cooperative environments, where each robot attempts to maximize its cumulative reward while interacting with other self-interested robots.
Edit intent: fluency
Original:  Our algorithm adapts the centralized, perfect information, discrete-action space method from Alpha Zero to a decentralized, partial information, continuous action space setting for multi-robot applications.
Revised:  Our algorithm adapts the centralized, perfect information, discrete-action space method from AlphaZero to a decentralized, partial information, continuous action space setting for multi-robot applications.
Edit intent: fluency
Original:  Our numerical experiments demonstrate neural expansion generates compact search trees with better solution quality and 20 times less computational expense compared to MCTS without neural expansion .
Revised:  Our numerical experiments demonstrate Neural Tree Expansion's computational advantage by finding better solutions than a MCTS with 20 times less computational expense compared to MCTS without neural expansion .
Edit intent: clarity
Original:  Our numerical experiments demonstrate neural expansion generates compact search trees with better solution quality and 20 times less computational expense compared to MCTS without neural expansion .
Revised:  Our numerical experiments demonstrate neural expansion generates compact search trees with better solution quality and 20 times more resources .
Edit intent: clarity
Original:  Our hardware experiments on an aerial swarm demonstrate the computational advantage of neural tree expansion , enabling online planning at 20Hz with effective policies in complex scenarios.
Revised:  Our hardware experiments on an aerial swarm demonstrate the computational advantage of Neural Tree Expansion , enabling online planning at 20Hz with effective policies in complex scenarios.
Edit intent: fluency
Original:  In contrast to previous models considering the risk due to the travelers from and to other regions, here we consider two factors.
Revised:  In contrast to previous models considering the risk due to the travelers from / to other regions, here we consider two factors.
Edit intent: fluency
Original:  First, we con-sider the movements of susceptible (S), exposed (E), and recovered (R) people as well as infected (I) who can get infected after movement .
Revised:  First, we consider the movements of susceptible (S), exposed (E), and recovered (R) people as well as infected (I) who can get infected after movement .
Edit intent: fluency
Original:  First, we con-sider the movements of susceptible (S), exposed (E), and recovered (R) people as well as infected (I) who can get infected after movement .
Revised:  First, we con-sider the movements of susceptible (S), exposed (E), and recovered (R) individuals who may get infected after movement, as well as infected (I) who can get infected after movement .
Edit intent: clarity
Original:  First, we con-sider the movements of susceptible (S), exposed (E), and recovered (R) people as well as infected (I) who can get infected after movement .
Revised:  First, we con-sider the movements of susceptible (S), exposed (E), and recovered (R) people as well as infected (I) .
Edit intent: clarity
Original:  Second, the infectious contacts between people from different regions are considered and dealt with separately from the first factor.
Revised:  Second, the infectious contacts between people from different regions are dealt with separately from the first factor.
Edit intent: clarity
Original:  By this, we can reflect the potential risk of future infections that are not out of the range of inspection of infection without over/under-estimating the ratio of E or I among the entire number of people moving .
Revised:  By this, we can reflect the potential future influence on the infection spread due to the movements of S and E that are hard to detect by the infection test at the time of immigration .
Edit intent: clarity
Original:  Moreover, we show it is not expected that vaccination at a slow pace in Japan will  suppress the infection spread sufficiently to extinguish the current  wave within a few months  .
Revised:  Moreover, we show vaccination at a slow pace in Japan will suppress the infection spread sufficiently to extinguish the current wave within a few months .
Edit intent: coherence
Original:  Moreover, we show it is not expected that vaccination at a slow pace in Japan will  suppress the infection spread sufficiently to extinguish the current  wave within a few months  .
Revised:  Moreover, we show it is not expected that vaccination at a slow pace in Japan will not suppress the infection spread sufficiently to extinguish the current wave within a few months .
Edit intent: fluency
Original: The SEIR model, widely used for analyzing and predicting the spread of virus infection, is here extended to considering the movement of people across regions.
Revised: The SEIRS model, an extension of the SEIR model for analyzing and predicting the spread of virus infection, is here extended to considering the movement of people across regions.
Edit intent: clarity
Original: The SEIR model, widely used for analyzing and predicting the spread of virus infection, is here extended to considering the movement of people across regions.
Revised: The SEIR model, widely used for analyzing and predicting the spread of virus infection, was further extended to consider the movement of people across regions.
Edit intent: clarity
Original:  In contrast to previous models considering the risk due to the travelers from/to other regions, here we consider two factors.
Revised:  In contrast to previous models that con-sider the risk of travelers from/to other regions, here we consider two factors.
Edit intent: clarity
Original:  In contrast to previous models considering the risk due to the travelers from/to other regions, here we consider two factors.
Revised:  In contrast to previous models considering the risk due to the travelers from/to other regions, we consider two factors.
Edit intent: coherence
Original:  By this, we can reflect the potential future influence on the infection spread due to the movements of S and E that are hard to detect by the infection test at the time of immigration .
Revised:  By this, we can reflect the potential future influence on the infection spread due to the movements of S and E that are hard to detect by testing at the time of immigration .
Edit intent: clarity
Original:  As a result , we show the results of simulation where the influence of traveling across regions, which mean prefectures here, and of the choice of regions to vaccinate with priority , on the risk of infection spread.
Revised:  As a result , we show the results of the simulation where individuals travel across regions, which mean prefectures here, and of the choice of regions to vaccinate with priority , on the risk of infection spread.
Edit intent: clarity
Original:  However, a restricted quantity of vaccines can be used efficiently by maximizing a diverted index value?
Revised:  However, a restricted quantity of vaccines can be used efficiently by maximizing an index value,
Edit intent: coherence
Original:  Furthermore, travel activity across regional borders that accelerated infection spread so far is found to rather sup-press it if vaccination is processed at a high pace .
Revised:  Furthermore, travel activity across regional borders may suppress the spread if vaccination is processed at a high pace .
Edit intent: clarity
Original:  Meanwhile, to ensure the existence of an optimal shape, a Tikhonov regularization in the form of a perimeter objective, and a volume constraint is imposed .
Revised:  We impose a Tikhonov regularization in the form of a perimeter objective, and a volume constraint is imposed .
Edit intent: clarity
Original:  Meanwhile, to ensure the existence of an optimal shape, a Tikhonov regularization in the form of a perimeter objective, and a volume constraint is imposed .
Revised:  Meanwhile, to ensure the existence of an optimal shape, a Tikhonov regularization in the form of a perimeter functional and a volume constraint is imposed .
Edit intent: clarity
Original:  The system received an F1 score of 90.57 %DIFDELCMD < \\%%% %DIF < and an accuracy of  96.23 %DIFDELCMD < \\%%% %DIF < . Our Deep Learning system is not computationally expensive and has the  ability for integration within several applications.
Revised:  The system received an F1 score of 90.57 %DIFDELCMD < \\%%% %DIF < and an accuracy of 96.23 %DIFDELCMD < \\%%% %DIF < . Our Deep Learning system is not computationally expensive and has the \%. Our Deep Learning system is not computationally expensive and has the ability for integration within several applications.
Edit intent: coherence
Original:  We first compute the solution landscapes with the dipolar and Maier--Saupe potentials, for which all critical points are axisymmetric.
Revised:  We first construct the solution landscapes with the dipolar and Maier--Saupe potentials, for which all critical points are axisymmetric.
Edit intent: clarity
Original:  We first compute the solution landscapes with the dipolar and Maier--Saupe potentials, for which all critical points are axisymmetric.
Revised:  We first compute the solution landscapes with the dipolar and Maier-Saupe potentials, for which all critical points are axisymmetric.
Edit intent: fluency
Original:  The solution landscape provides an efficient approach to show the global structure of the model system as well as the bifurcations of critical points, which can not only verify the previous analytic results but also propose several conjectures based on the numerical findings.
Revised:  The solution landscape provides an efficient approach to show the global structure of the model system as well as the bifurcations of critical points, which can not only support the previous theoretical conjectures but also propose several conjectures based on the numerical findings.
Edit intent: clarity
Original:  The solution landscape provides an efficient approach to show the global structure of the model system as well as the bifurcations of critical points, which can not only verify the previous analytic results but also propose several conjectures based on the numerical findings.
Revised:  The solution landscape provides an efficient approach to show the global structure of the model system as well as the bifurcations of critical points, which can not only verify the previous analytic results but also propose new conjectures based on the numerical findings.
Edit intent: clarity
Original:  Whereas enzyme regulation may collapse diversity over long enough times , mutations, instead, produce a "rich-get-poorer" effect that promotes diversity.
Revised:  Enzyme regulation may collapse diversity over long enough times , mutations, instead, produce a "rich-get-poorer" effect that promotes diversity.
Edit intent: coherence
Original: The Initial Algebra Theorem by Trnkov\'a et al. states, under mild but inevitable assumptions, that an endofunctor has an initial algebra provided it has a pre-fixed point.
Revised: The Initial Algebra Theorem by Trnkov\'a et al. states, under mild assumptions, that an endofunctor has an initial algebra provided it has a pre-fixed point.
Edit intent: clarity
Original:  This is made possible by using Pataraia's theorem to obtain the east fixed point of a monotone function on the partial order formed by all subobjects of a given pre-fixed point .
Revised:  This is made possible by using Pataraia's theorem to obtain the least fixed point of a monotone function on the partial order formed by all subobjects of a given pre-fixed point .
Edit intent: clarity
Original:  This is made possible by using Pataraia's theorem to obtain the east fixed point of a monotone function on the partial order formed by all subobjects of a given pre-fixed point .
Revised:  This is made possible by using Pataraia's theorem to obtain the east fixed point of a monotone function on the partial order formed by all subobjects of A .
Edit intent: clarity
Original: The aim of this work is to present a brief report concerning the various aspects of the Reduced Basis Method within Fluid-Structure Interaction problems.
Revised: The aim of this work is to present an overview about the combination of the Reduced Basis Method within Fluid-Structure Interaction problems.
Edit intent: clarity
Original:  First we preform a reduction technique that is based on a monolithic procedure , where we therefore solve all at once the fluid and the solid problem.
Revised:  First we preform a reduction technique that is based on a monolithic procedure where we solve the fluid and the solid problem.
Edit intent: clarity
Original:  Then we present an alternative reduction technique , that is based on a partitioned (or segregated) procedure instead: here the fluid and the solid problem are solved separately and then coupled through a fixed point strategy.
Revised:  Then we present an alternative reduction technique , that is based on a partitioned (or segregated) procedure : the fluid and the solid problem are solved separately and then coupled through a fixed point strategy.
Edit intent: coherence
Original:  Then we present an alternative reduction technique , that is based on a partitioned (or segregated) procedure instead: here the fluid and the solid problem are solved separately and then coupled through a fixed point strategy.
Revised:  Then we present an alternative reduction technique , that is based on a partitioned (or segregated) procedure instead: here the fluid and the solid problems are solved separately and then coupled through a fixed point strategy.
Edit intent: fluency
Original:  Then we present an alternative reduction technique , that is based on a partitioned (or segregated) procedure instead: here the fluid and the solid problem are solved separately and then coupled through a fixed point strategy.
Revised:  Then we present an alternative reduction technique , that is based on a partitioned (or segregated) procedure instead: here the fluid and the solid problem are solved separately and then coupled using a fixed point strategy.
Edit intent: clarity
Original:  But as we show through examples , the notion of L_2-gain stability and performance is not sufficient in order to satisfy the desired guarantees in case of tracking and disturbance rejection.
Revised:  However, as we show through examples , the notion of L_2-gain stability and performance is not sufficient in order to satisfy the desired guarantees in case of tracking and disturbance rejection.
Edit intent: coherence
Original:  But as we show through examples , the notion of L_2-gain stability and performance is not sufficient in order to satisfy the desired guarantees in case of tracking and disturbance rejection.
Revised:  But as we show , the notion of L_2-gain stability and performance is not sufficient in order to satisfy the desired guarantees in case of tracking and disturbance rejection.
Edit intent: clarity
Original:  We propose to solve this problem by the application of incremental stability and performance, which does indeed ensure these specifications.
Revised:  We propose to solve this problem by the application of incremental stability and performance, which does ensure these specifications.
Edit intent: clarity
Original:  We propose the addition to the well-known STDP synaptic plasticity rule to directs the weight modification towards the state associated with the maximal difference between the background noise and correlated signals.
Revised:  We propose adding the well-known STDP synaptic plasticity rule to directs the weight modification towards the state associated with the maximal difference between the background noise and correlated signals.
Edit intent: fluency
Original:  We propose the addition to the well-known STDP synaptic plasticity rule to directs the weight modification towards the state associated with the maximal difference between the background noise and correlated signals.
Revised:  We propose the addition to the well-known STDP synaptic plasticity rule to direct the weight modification towards the state associated with the maximal difference between the background noise and correlated signals.
Edit intent: fluency
Original:  We propose the addition to the well-known STDP synaptic plasticity rule to directs the weight modification towards the state associated with the maximal difference between the background noise and correlated signals.
Revised:  We propose the addition to the well-known STDP synaptic plasticity rule to directs the weight modification towards the state associated with the maximal difference between background noise and correlated signals.
Edit intent: fluency
Original:  The principle of physically constrained weight growth is used as a basis for such control of the modification of the weights .
Revised:  We use the principle of physically constrained weight growth is used as a basis for such control of the modification of the weights .
Edit intent: coherence
Original:  The principle of physically constrained weight growth is used as a basis for such control of the modification of the weights .
Revised:  The principle of physically constrained weight growth as a basis for such control of the modification of the weights .
Edit intent: clarity
Original:  The principle of physically constrained weight growth is used as a basis for such control of the modification of the weights .
Revised:  The principle of physically constrained weight growth is used as a basis for such weights' modification control .
Edit intent: clarity
Original:  It is proposed , that biological synaptic straight modification is restricted by the existence and production of bio-chemical 'substances' needed for plasticity development  .
Revised:  It is proposed that the existence and production of bio-chemical 'substances' needed for plasticity development .
Edit intent: coherence
Original:  In this paper, the information about the noise-to-signal ratio is used to control such a substances' production and storage and to drive the neuron's synaptic pressures towards the state with the best signal-to-noise ratio.
Revised:  In this paper, the information about the noise-to-signal ratio controls such a substances' production and storage and to drive the neuron's synaptic pressures towards the state with the best signal-to-noise ratio.
Edit intent: clarity