wanyu/IteraTeR_full_sent huggingface dataset:
Original:  One of the major problems encountered when dealing with bipartite networks is obtaining a (monopartite) projection over the layer of interest which preserves as much as possible the information encoded into the original bipartite structure  .
Revised:  One of the major problems encountered when dealing with bipartite networks is obtaining a (monopartite) projection over the layer of interest , which preserves the information encoded into the original bipartite structure .
Edit intent: clarity
Original:  One of the major problems encountered when dealing with bipartite networks is obtaining a (monopartite) projection over the layer of interest which preserves as much as possible the information encoded into the original bipartite structure  .
Revised:  One of the major problems encountered when dealing with bipartite networks is obtaining a (monopartite) projection over the layer of interest which preserves as much as possible the information encoded into the original bipartite structure as much as possible .
Edit intent: meaning-changed
Original:  in order for any two nodes to be linked, a significantly-large number of neighbors must be shared . Naturally, assessing the statistical significance of nodes similarity requires the definition of a proper statistical benchmark: here we consider two recently-proposed null modelsfor bipartite networks, opportunely defined through the exponential random graph formalism .
Revised:  in order for any two nodes to be linked, the number of shared neighbors must be shared . Naturally, assessing the statistical significance of nodes similarity requires the definition of a proper statistical benchmark: here we consider two recently-proposed null modelsfor bipartite networks, opportunely defined through the exponential random graph formalism .
Edit intent: clarity
Original:  in order for any two nodes to be linked, a significantly-large number of neighbors must be shared . Naturally, assessing the statistical significance of nodes similarity requires the definition of a proper statistical benchmark: here we consider two recently-proposed null modelsfor bipartite networks, opportunely defined through the exponential random graph formalism .
Revised:  in order for any two nodes to be linked, a significantly-large number of neighbors must be statistically significant . Naturally, assessing the statistical significance of nodes similarity requires the definition of a proper statistical benchmark: here we consider two recently-proposed null modelsfor bipartite networks, opportunely defined through the exponential random graph formalism .
Edit intent: clarity
Original:  in order for any two nodes to be linked, a significantly-large number of neighbors must be shared . Naturally, assessing the statistical significance of nodes similarity requires the definition of a proper statistical benchmark: here we consider two recently-proposed null modelsfor bipartite networks, opportunely defined through the exponential random graph formalism .
Revised:  in order for any two nodes to be linked, a significantly-large number of neighbors must be shared . Naturally, assessing the statistical significance of nodes similarity requires the definition of a proper statistical benchmark: here we consider a set of four null models, defined within the Exponential Random Graph framework .
Edit intent: clarity
Original:  Finally,  to test our method we analyze a social network (i.e. the MovieLens dataset, a bipartite network of users and rated movies)and an economic network (i. e. the countries-products World Trade Web representation):
Revised:  Finally, in order to test our method we analyze a social network (i.e. the MovieLens dataset, a bipartite network of users and rated movies)and an economic network (i. e. the countries-products World Trade Web representation):
Edit intent: coherence
Original:  Finally,  to test our method we analyze a social network (i.e. the MovieLens dataset, a bipartite network of users and rated movies)and an economic network (i. e. the countries-products World Trade Web representation):
Revised:  Finally, to test our method , we analyze an economic network (i.e. the countries-products World Trade Web representation) and a social network (i.e. the MovieLens dataset, a bipartite network of users and rated movies)and an economic network (i. e. the countries-products World Trade Web representation):
Edit intent: meaning-changed
Original:  Finally,  to test our method we analyze a social network (i.e. the MovieLens dataset, a bipartite network of users and rated movies)and an economic network (i. e. the countries-products World Trade Web representation):
Revised:  Finally, to test our method we analyze a social network (i.e. the MovieLens dataset, collecting the users' ratings of a list of movies). In both cases non-trivial communities are detected. In the first case, while projecting the World Trade Web representation):
Edit intent: meaning-changed
Original:  Finally,  to test our method we analyze a social network (i.e. the MovieLens dataset, a bipartite network of users and rated movies)and an economic network (i. e. the countries-products World Trade Web representation): while, in the first case, projecting MovieLens on the films layer allows clusters of movies belonging to similar genres to be detected, in the second case, projecting the World Trade Web on the countries layer reveals a modular structure of similarly-industrialized clusters of nations .
Revised:  Finally, to test our method we analyze a social network (i.e. the MovieLens dataset, a bipartite network of users and rated movies)and an economic network (i. e. the countries-products World Trade Web on the countries layer reveals modules of similarly-industrialized nations, projecting it on the products layer allows communities characterized by an increasing level of complexity to be detected; in the second case, projecting the World Trade Web on the countries layer reveals a modular structure of similarly-industrialized clusters of nations .
Edit intent: clarity
Original:  while, in the first case, projecting MovieLens on the films layer allows clusters of movies belonging to similar genres to be detected, in the second case, projecting the World Trade Web on the countries layer reveals a modular structure of similarly-industrialized clusters of nations .
Revised:  while, in the first case, projecting MovieLens on the films layer allows clusters of movies belonging to similar genres to be detected, in the second case, projecting MovieLens on the films layer allows clusters of movies whose affinity cannot be fully accounted for by genre similarity to be individuated .
Edit intent: clarity
Original:  We show that anisotropic deformation of tissue and cells can arise from two distinct active cellular processes: generation of active stress in the tissue, and actively driven cellular rearrangements. These two active processes result in distinct cellular and tissue shape changes, depending on boundary conditions applied on the tissue.
Revised:  We show that anisotropic deformation of tissue and cells can arise from two distinct active cellular processes: generation of active stress in the tissue, and actively driven topological rearrangements. We find that these two active processes result in distinct cellular and tissue shape changes, depending on boundary conditions applied on the tissue.
Edit intent: clarity
Original:  The initial measurement of the morphogens by the hunchback promoter takes place during very short cell cycles, not only giving each nucleus little time for a precise readout, but also resulting in short time traces  .
Revised:  The initial measurement of the morphogens by the hunchback promoter takes place during very short cell cycles, not only giving each nucleus little time for a precise readout, but also resulting in short time traces of transcription .
Edit intent: clarity
Original:  We show that the precision of the expression of the hunchback gene to measure its position along the anterior-posterior axis is low both at the boundary and in the anterior even at cycle 13, suggesting additional post-translational averaging mechanisms to provide the precision observed in fixed material .
Revised:  We show that the precision of the expression of the hunchback gene to measure its position along the anterior-posterior axis is low both at the boundary and in the anterior even at cycle 13, suggesting additional post-transcriptional averaging mechanisms to provide the precision observed in fixed material .
Edit intent: clarity
Original:  We show that the precision of the expression of the hunchback gene to measure its position along the anterior-posterior axis is low both at the boundary and in the anterior even at cycle 13, suggesting additional post-translational averaging mechanisms to provide the precision observed in fixed material .
Revised:  We show that the precision of the expression of the hunchback gene to measure its position along the anterior-posterior axis is low both at the boundary and in the anterior even at cycle 13, suggesting additional post-translational averaging mechanisms to provide the precision observed in fixed embryos .
Edit intent: clarity
Original:  The uncontrolled inflation rate follows an Ornstein-Uhlenbeck dynamics and affects the growth rate of the debt ratio. The level of the latter can be reduced by the government through fiscal interventions. The government aims at choosing a debt reduction policy which minimises the total expected cost of having debt, plus the total expected cost of interventions on  debt ratio.
Revised:  The government aims at choosing a debt reduction policy which minimises the total expected cost of having debt, plus the total expected cost of interventions on debt ratio.
Edit intent: coherence
Original:  We show that it is optimal for the government to adopt a policy that keeps the debt-to-GDP ratio under an inflation-dependent ceiling.
Revised:  In a general not necessarily Markovian framework, we first show by probabilistic arguments that the optimal debt reduction policy can be expressed in terms of the optimal stopping rule of an auxiliary optimal stopping problem. We then exploit such link to characterise the optimal control in a two-dimensional Markovian setting in which the state variables are the level of the debt-to-GDP ratio and the current inflation rate of the country. The latter follows uncontrolled Ornstein-Uhlenbeck dynamics and affects the growth rate of the debt ratio. We show that it is optimal for the government to adopt a policy that keeps the debt-to-GDP ratio under an inflation-dependent ceiling.
Edit intent: meaning-changed
Original: This paper is devoted to obtaining a wellposedness result for multidimensional BSDEs with possibly unbounded random time horizon and driven by a general martingale in a filtration only assumed to satisfy the usual hypotheses, which in particular may be stochastically discontinuous.
Revised: This paper is devoted to obtaining a wellposedness result for multidimensional BSDEs with possibly unbounded random time horizon and driven by a general martingale in a filtration only assumed to satisfy the usual hypotheses, i.e. the filtration may be stochastically discontinuous.
Edit intent: coherence
Original:  For a unified shared LLC, bus interface is not scalable, and it seems that distributed shared LLC (DSLLC) is a better choice , so most of papers assume a distributed shared LLC beside each core in on-chip network.
Revised:  For a unified shared LLC, bus interface is not scalable, and it seems that distributed shared LLC (DSLLC) is a better choice . Most of papers assume a distributed shared LLC beside each core in on-chip network.
Edit intent: coherence
Original:  In fact the problem is finding optimal placement of cores, DSLLCs and even memory controllers to minimize the expected latency based on traffic load in a mesh on-chip network with fixed number of cores and total cache capacity.
Revised:  In fact , our work focuses on optimal placement of cores, DSLLCs and even memory controllers to minimize the expected latency based on traffic load in a mesh on-chip network with fixed number of cores and total cache capacity.
Edit intent: clarity
Original:  The quantity of interest is defined as the integrated parameter over time T^{-1}\int_0^T\theta_t^*dt, where \theta_t^* is the time-varying parameter  .
Revised:  The quantity of interest is defined as the integrated parameter T^{-1}\int_0^T\theta_t^*dt, where \theta_t^* is the time-varying parameter .
Edit intent: clarity
Original:  The quantity of interest is defined as the integrated parameter over time T^{-1}\int_0^T\theta_t^*dt, where \theta_t^* is the time-varying parameter  .
Revised:  The quantity of interest is defined as the integrated parameter over time T^{-1}\int_0^T\theta_t^*dt, where \theta_t^* is the time-varying parameter , and we consider the high-frequency asymptotics .
Edit intent: meaning-changed
Original:  Correspondingly, we give conditions on the parameter process and the block length under which we can establish the local central limit theorem, and the boundedness of moments of order 2\kappa of the local estimators, where \kappa > 1. Under those assumptions, the global estimator asymptotic bias explodes asymptotically . As a consequence, we provide a non-na\"{i}ve estimator , which is constructed as the na\"{i}ve one when applying a first-order bias reduction to the local MLE.
Revised:  Correspondingly, we give conditions on the parameter process and the block length under which we can establish the local central limit theorem, and the boundedness of moments of order 2\kappa of the local estimators, where \kappa > 1. Under those assumptions, the global estimator asymptotic bias explodes asymptotically , thus we provide a non-na\"{i}ve estimator , which is constructed as the na\"{i}ve one when applying a first-order bias reduction to the local MLE.
Edit intent: coherence
Original:  As a consequence, we provide a non-na\"{i}ve estimator , which is constructed as the na\"{i}ve one when applying a first-order bias reduction to the local MLE.
Revised:  As a consequence, we provide a non-na\"{i}ve estimator which is constructed as the na\"{i}ve one when applying a first-order bias reduction to the local MLE.
Edit intent: fluency
Original:  The asymptotic bias explodes asymptotically, thus we provide a non-na\"{i estimator which is constructed as the na\"{i one when applying a first-order bias reduction to the local MLE.
Revised:  The asymptotic bias explodes asymptotically, thus we provide a non-na\"ive estimator which is constructed as the na\"{i one when applying a first-order bias reduction to the local MLE.
Edit intent: fluency
Original:  The asymptotic bias explodes asymptotically, thus we provide a non-na\"{i estimator which is constructed as the na\"{i one when applying a first-order bias reduction to the local MLE.
Revised:  The asymptotic bias explodes asymptotically, thus we provide a non-na\"{i estimator which is constructed as the na\"ive one when applying a first-order bias reduction to the local MLE.
Edit intent: fluency
Original: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic  compensator.
Revised: We show a concise extension of the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic compensator.
Edit intent: meaning-changed
Original: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic  compensator.
Revised: We extend the monotone stability approach to backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic compensator.
Edit intent: fluency
Original: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic  compensator.
Revised: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure for jumps, which could be of infinite activity and time-inhomogeneous with non-deterministic compensator.
Edit intent: meaning-changed
Original: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic  compensator.
Revised: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity with a non-deterministic compensator.
Edit intent: clarity
Original: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic  compensator.
Revised: We extend the monotone stability approach for backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measure , which can be of infinite activity and time-inhomogeneous with non-deterministic and time inhomogeneous compensator.
Edit intent: clarity
Original:  We contribute concrete criteria, that are easy to verify, and extended results for comparison and for existence and uniqueness of bounded solutions to BSDEs with jumps . The scope of results, applicability of assumptions and differences to related results by some alternative approaches are demonstrated by several examples for control problems from finance .
Revised:  We contribute concrete criteria, that are easy to verify, and extended results for comparison and for existence and uniqueness of bounded solutions to BSDEs with jumps , and on comparison and a priori L^{\infty .
Edit intent: meaning-changed
Original:  In a series of seminal papers in the literature, this problem has been studied under a simplifying model where  selfish players appear sequentially and act once in the game, based on private noisy observations of the system state and public observation of past players' actions.
Revised:  In a series of seminal papers in the literature, this problem has been investigated under a simplifying model where selfish players appear sequentially and act once in the game, based on private noisy observations of the system state and public observation of past players' actions.
Edit intent: clarity
Original:  In a series of seminal papers in the literature, this problem has been studied under a simplifying model where  selfish players appear sequentially and act once in the game, based on private noisy observations of the system state and public observation of past players' actions.
Revised:  In a series of seminal papers in the literature, this problem has been studied under a simplifying model where myopically selfish players appear sequentially and act once in the game, based on private noisy observations of the system state and public observation of past players' actions.
Edit intent: meaning-changed
Original:  In particular, our model incorporates cases where players  participate for the whole duration of the game, and cases where an endogenous process selects which subset of players will act at each time instance.
Revised:  In particular, our model incorporates cases where players are non-myopic and strategically participate for the whole duration of the game, and cases where an endogenous process selects which subset of players will act at each time instance.
Edit intent: meaning-changed
Original:  The proposed methodology hinges on a sequential decomposition for finding perfect Bayesian equilibria (PBE) of a general class of dynamic games with asymmetric information, where user-specific states evolve as conditionally independent Markov process and users make independent noisy observations of their states.
Revised:  The proposed framework hinges on a sequential decomposition for finding perfect Bayesian equilibria (PBE) of a general class of dynamic games with asymmetric information, where user-specific states evolve as conditionally independent Markov process and users make independent noisy observations of their states.
Edit intent: clarity
Original:  The proposed methodology hinges on a sequential decomposition for finding perfect Bayesian equilibria (PBE) of a general class of dynamic games with asymmetric information, where user-specific states evolve as conditionally independent Markov process and users make independent noisy observations of their states.
Revised:  The proposed methodology hinges on a sequential decomposition methodology for finding structured perfect Bayesian equilibria (PBE) of a general class of dynamic games with asymmetric information, where user-specific states evolve as conditionally independent Markov process and users make independent noisy observations of their states.
Edit intent: meaning-changed
Original:  The proposed methodology hinges on a sequential decomposition for finding perfect Bayesian equilibria (PBE) of a general class of dynamic games with asymmetric information, where user-specific states evolve as conditionally independent Markov process and users make independent noisy observations of their states.
Revised:  The proposed methodology hinges on a sequential decomposition for finding perfect Bayesian equilibria (PBE) of a general class of dynamic games with asymmetric information, where user-specific states evolve as conditionally independent Markov processes and users make independent noisy observations of their states.
Edit intent: fluency
Original:  In our approach, we adapt the payoff of such a bond in terms of the payoff of an Asian put option and present a new approach to derive model-independent bounds exploiting comonotonic theory as illustrated in prime1 0pt%DIFAUXCMD and \mbox{%DIFAUXCMD Simon }0pt%DIFAUXCMD } for the pricing of Asian options.
Revised:  In our approach, we express the payoff of such a bond in terms of the payoff of an Asian put option and present a new approach to derive model-independent bounds exploiting comonotonic theory as illustrated in prime1 0pt%DIFAUXCMD and \mbox{%DIFAUXCMD Simon }0pt%DIFAUXCMD } for the pricing of Asian options.
Edit intent: clarity
Original:  In our approach, we adapt the payoff of such a bond in terms of the payoff of an Asian put option and present a new approach to derive model-independent bounds exploiting comonotonic theory as illustrated in prime1 0pt%DIFAUXCMD and \mbox{%DIFAUXCMD Simon }0pt%DIFAUXCMD } for the pricing of Asian options.
Revised:  In our approach, we adapt the payoff of such a bond in terms of the payoff of an Asian put option and present a new approach to derive model-independent bounds exploiting comonotonic theory as illustrated in prime1 , \mbox{%DIFAUXCMD 20pt%DIFAUXCMD and \mbox{%DIFAUXCMD Simon }0pt%DIFAUXCMD } for the pricing of Asian options.
Edit intent: meaning-changed
Original:  Finally, when the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concept of 2-net  .
Revised:  Finally, when the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concept of 2-net . Finally, we study the relation between cycles and extremality .
Edit intent: meaning-changed