wanyu/IteraTeR_full_sent huggingface dataset:
Original:  We introduce the concept of exit edges, which prevent the order type from changing under continuous motion of vertices  . Exit edges have a natural dual characterization, which allows us to efficiently compute them and to bound their number.
Revised:  We introduce the concept of exit edges, which prevent the order type from changing under continuous motion of vertices . That is, in the geometric graph on S whose edges are the exit edges, in order to change the order type of S, at least one vertex needs to move across an exit edge . Exit edges have a natural dual characterization, which allows us to efficiently compute them and to bound their number.
Edit intent: meaning-changed
Original: In isotonic regression discontinuity designs, the average outcome and the treatment assignment probability are monotone in the running variable. We introduce novel nonparametric estimators for sharp and fuzzy designs based on the isotonic regression .
Revised: This paper studies the estimation and inference for the isotonic regression at the boundary point, an object that is particularly interesting and required in the analysis of monotone regression discontinuity designs. We show that the isotonic regression .
Edit intent: meaning-changed
Original:  We introduce novel nonparametric estimators for sharp and fuzzy designs based on the isotonic regression . The large sample distributions of introduced estimatorsare driven by scaled Brownian motions originating from zero and moving in opposite directions. Since these distributions are not pivotal, we also introduce a novel trimmed wild bootstrap procedure, which does not require additional nonparametric smoothing , typically needed in such settings, and show its consistency.
Revised:  We introduce novel nonparametric estimators for sharp and fuzzy designs based on the isotonic regression is inconsistent in this setting and derive the asymptotic distributions of boundary corrected estimators. Interestingly, the boundary corrected estimators can be bootstrapped without subsampling or additional nonparametric smoothing , typically needed in such settings, and show its consistency.
Edit intent: meaning-changed
Original:  Since these distributions are not pivotal, we also introduce a novel trimmed wild bootstrap procedure, which does not require additional nonparametric smoothing , typically needed in such settings, and show its consistency. We find in Monte Carlo experiments  that shape restrictions can improve dramatically the finite-sample performance of unrestricted estimators.
Revised:  Since these distributions are not pivotal, we also introduce a novel trimmed wild bootstrap procedure, which does not require additional nonparametric smoothing which is not the case for the interior point. The Monte Carlo experiments that shape restrictions can improve dramatically the finite-sample performance of unrestricted estimators.
Edit intent: meaning-changed
Original:  We find that placing cooperators on  high-degree nodes enhances cooperationin standard scale-free networks but not in standard Poisson networks. In contrast, under increased degree assortativity , Poisson networks can maintain high levels of cooperation, even exceeding those of scale-free networks, when the initial placement of cooperators is perfectly correlated to node degree.
Revised:  We find that placing cooperators on high-degree ) nodes can - as expected - enhance cooperation , Poisson networks can maintain high levels of cooperation, even exceeding those of scale-free networks, when the initial placement of cooperators is perfectly correlated to node degree.
Edit intent: clarity
Original:  In contrast, under increased degree assortativity , Poisson networks can maintain high levels of cooperation, even exceeding those of scale-free networks, when the initial placement of cooperators is perfectly correlated to node degree. When the correlation is not perfect however, defectors placed within clusters of cooperators can act as Trojan horses, allowing defection to invade.
Revised:  In contrast, under increased degree assortativity , but will only do so under certain conditions. The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses, i.e. defectors placed within clusters of cooperators can act as Trojan horses, allowing defection to invade.
Edit intent: meaning-changed
Original:  When the correlation is not perfect however, defectors placed within clusters of cooperators can act as Trojan horses, allowing defection to invade. The results are relevant both to computer simulations of cooperation in networks and in particular to real-world cooperation experiments, where the number of replications is typically low and stochastic initial correlations between cooperativeness and network position may be present .
Revised:  When the correlation is not perfect however, defectors placed within clusters of cooperators . Interestingly, the largest enhancement is observed in Poisson networks with increased degree assortativity, where cooperation does better than under scale-free degree distribution. The study provides new knowledge about the conditions under which cooperation may evolve and persist. The results are furthermore important to consider in regard to cooperation experiments, where the number of replications is typically low and stochastic initial correlations between cooperativeness and network position may be present .
Edit intent: meaning-changed
Original:  The results are relevant both to computer simulations of cooperation in networks and in particular to real-world cooperation experiments, where the number of replications is typically low and stochastic initial correlations between cooperativeness and network position may be present .
Revised:  The results are relevant both to computer simulations of cooperation in networks and in particular to real-world cooperation experiments, as they imply that stochastic initial correlations between cooperativeness and network position may be present .
Edit intent: clarity
Original:  The results are relevant both to computer simulations of cooperation in networks and in particular to real-world cooperation experiments, where the number of replications is typically low and stochastic initial correlations between cooperativeness and network position may be present .
Revised:  The results are relevant both to computer simulations of cooperation in networks and in particular to real-world cooperation experiments, where the number of replications is typically low and stochastic initial correlations between cooperativeness and network position can affect the results of such experiments .
Edit intent: clarity
Original:  Here, we investigate how cooperation is affected by correlations between cooperative strategy and individual connectedness in different networks, by means of simulation models. We find that placing cooperators on well-connected (high-degree) nodes can - as expected - enhance cooperation, but will only do so under certain conditions. The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
Revised:  Here, we investigate how cooperation is affected by correlations between cooperativeness and individual social connectedness. Using simulation models, we find that the effect of correlation between cooperativeness and connectedness (degree) depends on the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
Edit intent: clarity
Original:  The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
Revised:  The effect depends nontrivially on the combination of the social network structure , with positive effect in standard scale-free networks and no effect in standard Poisson networks. Furthermore, when degree assortativity is increased such that individuals cluster with others of similar social connectedness, we find that bridge areas between social clusters can act as barriers to the spread of defection, leading to strong enhancement of cooperation in particular in Poisson networks. But this effect is sensitive to the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
Edit intent: meaning-changed
Original:  The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
Revised:  The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
Edit intent: clarity
Original:  The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators.
Revised:  The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses ( defectors placed within clusters of cooperators.
Edit intent: coherence
Original:  The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within clusters of cooperators. Interestingly, the largest enhancement is observed in Poisson networks with increased degree assortativity, where cooperation does better than under scale-free degree distribution.
Revised:  The effect depends nontrivially on the combination of the social network structure (degree distribution and assortativity), the type of social dilemma, and the presence of Trojan horses , i.e. defectors placed within cooperator clusters).
Edit intent: coherence
Original:  The study provides new knowledge about the conditions under which cooperation may evolve and persist . The results are furthermore important to consider in regard to cooperation experiments, as they imply that stochastic initial correlations between cooperativeness and network position can affect the results of such experiments.
Revised:  The study provides new knowledge about the conditions under which cooperation may evolve and persist , and the results are also relevant to consider in regard to cooperation experiments, as they imply that stochastic initial correlations between cooperativeness and network position can affect the results of such experiments.
Edit intent: coherence
Original: Disorder is a characteristic of real social networks generated by heterogeneity in person-to-person interactions . This property affects the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.
Revised: Disorder is a characteristic of real social networks generated by heterogeneity in person-to-person interactions are known to be heterogeneous, which can affect the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.
Edit intent: meaning-changed
Original:  Disorder is usually associated with contact times between individuals , and normalized contact time values%DIFDELCMD < \omegaare %%% taken from the distribution P(\omega) = 1 / (a\omega) that mimics "face-to-face" experiments.
Revised:  This property, called disorder, is usually associated with contact times between individuals , and normalized contact time values%DIFDELCMD < \omegaare %%% taken from the distribution P(\omega) = 1 / (a\omega) that mimics "face-to-face" experiments.
Edit intent: meaning-changed
Original:  Disorder is usually associated with contact times between individuals , and normalized contact time values%DIFDELCMD < \omegaare %%% taken from the distribution P(\omega) = 1 / (a\omega) that mimics "face-to-face" experiments.
Revised:  Disorder is usually associated with contact times between individuals %DIFDELCMD < \omegaare %%% taken from the distribution P(\omega) = 1 / (a\omega) that mimics "face-to-face" experiments.
Edit intent: clarity
Original:  Disorder is usually associated with contact times between individuals , and normalized contact time values%DIFDELCMD < \omegaare %%% taken from the distribution P(\omega) = 1 / (a\omega) that mimics "face-to-face" experiments. To model more realistic systems , we study how heterogeneity in person-to-person interactions affects the spreading of diseases when two different kinds of disorder are present, each with a particular value of a.
Revised:  Disorder is usually associated with contact times between individuals , and normalized contact time values%DIFDELCMD < \omegaare %%% and can be modeled by a weighted network, where the weights are related to normalized contact times \omega. In this paper , we study how heterogeneity in person-to-person interactions affects the spreading of diseases when two different kinds of disorder are present, each with a particular value of a.
Edit intent: coherence
Original:  To model more realistic systems , we study how heterogeneity in person-to-person interactions affects the spreading of diseases when two different kinds of disorder are present, each with a particular value of a. This allows two different types of interaction to emerge, such as close (family, coworkers) and distant (neighbors, strangers) contacts. We also develop a strategy for controlling distant contact times , which are easier to alter in practice , so as to reduce the total number of infected individuals.
Revised:  To model more realistic systems , we study the SIR model for disease spreading when both close and distant types of interactions are present. We develop a mitigation strategy that reduces only the time duration of distant contacts , which are easier to alter in practice , so as to reduce the total number of infected individuals.
Edit intent: clarity
Original:  We also develop a strategy for controlling distant contact times , which are easier to alter in practice , so as to reduce the total number of infected individuals. Finally, we use "face-to-face" experiments to generate a more accurate distribution of normalized contact times, and we repeat the analysis for this distribution  .
Revised:  We also develop a strategy for controlling distant contact times , which are easier to alter in practice . Using branching theory, supported by simulations, we found that the effectiveness of the strategy increases when the density f_1 of close contacts decreases. Moreover, we found a threshold .
Edit intent: meaning-changed
Original:  Finally, we use "face-to-face" experiments to generate a more accurate distribution of normalized contact times, and we repeat the analysis for this distribution  .
Revised:  Finally, we use "face-to-face" experiments to generate a more accurate distribution of normalized contact times, and we repeat the analysis for this distribution _1 = T_c / \beta below which the strategy can bring the system from an epidemic to a non-epidemic phase, even when close contacts have the longest time durations .
Edit intent: meaning-changed
Original:  In this paper, we extended broad learning system (BLS), a recently proposed wide neural network architecture, from single-view learning to multi-view learning, and validated its performance in monkey oculomotor decision decoding from medial frontal LFPs and spikes.
Revised:  In this paper, we extended broad learning system (BLS), a recently proposed wide neural network architecture, from single-view learning to multi-view learning, and validated its performance in decoding monkeys' oculomotor decision from medial frontal LFPs and spikes.
Edit intent: fluency
Original:  We demonstrated that medial frontal LFPs and spikes in non-human primate do contain complementary information about the oculomotor decision, and that the proposed multi-view BLS is a more effective approach to classify the oculomotor decision , than several classical and state-of-the-art single-view and multi-view learning approaches.
Revised:  We demonstrated that medial frontal LFPs and spikes in non-human primate do contain complementary information about the oculomotor decision, and that the proposed multi-view BLS is a more effective approach for decoding the oculomotor decision , than several classical and state-of-the-art single-view and multi-view learning approaches.
Edit intent: clarity
Original:  We demonstrated that medial frontal LFPs and spikes in non-human primate do contain complementary information about the oculomotor decision, and that the proposed multi-view BLS is a more effective approach to classify the oculomotor decision , than several classical and state-of-the-art single-view and multi-view learning approaches.
Revised:  We demonstrated that medial frontal LFPs and spikes in non-human primate do contain complementary information about the oculomotor decision, and that the proposed multi-view BLS is a more effective approach to classify the oculomotor decision than several classical and state-of-the-art single-view and multi-view learning approaches.
Edit intent: fluency
Original:  The  \alpha,[a,b]-convex decreasing stochastic orders  allow us to derive  comparative statics results for  applications in economics and operations research that could not be derived using previous stochastic orders  .
Revised:  The main motivation for introducing the \alpha,[a,b]-convex decreasing stochastic orders allow us to derive comparative statics results for applications in economics and operations research that could not be derived using previous stochastic orders .
Edit intent: meaning-changed
Original:  The  \alpha,[a,b]-convex decreasing stochastic orders  allow us to derive  comparative statics results for  applications in economics and operations research that could not be derived using previous stochastic orders  .
Revised:  The \alpha,[a,b]-convex decreasing stochastic orders is that they allow us to derive comparative statics results for applications in economics and operations research that could not be derived using previous stochastic orders .
Edit intent: meaning-changed
Original:  The  \alpha,[a,b]-convex decreasing stochastic orders  allow us to derive  comparative statics results for  applications in economics and operations research that could not be derived using previous stochastic orders  .
Revised:  The \alpha,[a,b]-convex decreasing stochastic orders allow us to derive novel comparative statics results for applications in economics and operations research that could not be derived using previous stochastic orders .
Edit intent: meaning-changed
Original:  The  \alpha,[a,b]-convex decreasing stochastic orders  allow us to derive  comparative statics results for  applications in economics and operations research that could not be derived using previous stochastic orders  .
Revised:  The \alpha,[a,b]-convex decreasing stochastic orders allow us to derive comparative statics results for important applications in economics and operations research that could not be derived using previous stochastic orders .
Edit intent: meaning-changed
Original:  The  \alpha,[a,b]-convex decreasing stochastic orders  allow us to derive  comparative statics results for  applications in economics and operations research that could not be derived using previous stochastic orders  .
Revised:  The \alpha,[a,b]-convex decreasing stochastic orders allow us to derive comparative statics results for applications in economics that could not be derived using previous stochastic orders .
Edit intent: clarity
Original:  The  \alpha,[a,b]-convex decreasing stochastic orders  allow us to derive  comparative statics results for  applications in economics and operations research that could not be derived using previous stochastic orders  .
Revised:  The \alpha,[a,b]-convex decreasing stochastic orders allow us to derive comparative statics results for applications in economics and operations research that could not be derived using previous stochastic orders . In particular, our comparative statics results are useful when an increase in the lottery's riskiness increases the agent's optimal action, but an increase in the lottery's expected value decreases the agent's optimal action. For this kind of situation, we provide a tool to determine which of these two forces dominates -- riskiness or expected value .
Edit intent: meaning-changed
Original: In this paper we provide a novel family of stochastic orders, which we call the \alpha,[a,b] -convex decreasing and \alpha, a,b -concave increasing stochastic orders, that generalizes second order stochastic dominance.
Revised: In this paper we provide a novel family of stochastic orders, which we call the \alpha,[a,b] a,b -concave increasing stochastic orders, that generalizes second order stochastic dominance.
Edit intent: meaning-changed
Original: In this paper we provide a novel family of stochastic orders, which we call the \alpha,[a,b] -convex decreasing and \alpha, a,b -concave increasing stochastic orders, that generalizes second order stochastic dominance.
Revised: In this paper we provide a novel family of stochastic orders, which we call the \alpha,[a,b] -convex decreasing and \alpha, -concave increasing stochastic orders, that generalizes second order stochastic dominance.
Edit intent: fluency
Original: In this paper we provide a novel family of stochastic orders, which we call the \alpha,[a,b] -convex decreasing and \alpha, a,b -concave increasing stochastic orders, that generalizes second order stochastic dominance.
Revised: In this paper we provide a novel family of stochastic orders, which we call the \alpha,[a,b] -convex decreasing and \alpha, a,b -concave stochastic orders, that generalizes second order stochastic dominance.
Edit intent: clarity
Original:  These stochastic orders allow us to compare two lotteries, where one lottery has a higher expected value and is also riskier than the other lottery. The main motivation for introducing the \alpha,[a,b] -convex decreasing stochastic orders is that they allow us to derive novel comparative statics results for important applications in economics that could not be derived using previous stochastic orders.
Revised:  These stochastic orders are generated by a novel set of "very" concave functions where \alpha parameterizes the degree of concavity. The \alpha,[a,b] -convex decreasing stochastic orders is that they allow us to derive novel comparative statics results for important applications in economics that could not be derived using previous stochastic orders.
Edit intent: meaning-changed
Original:  The main motivation for introducing the \alpha,[a,b] -convex decreasing stochastic orders is that they allow us to derive novel comparative statics results for important applications in economics that could not be derived using previous stochastic orders.
Revised:  The main motivation for introducing the \alpha,[a,b] -concave stochastic orders allow us to derive novel comparative statics results for important applications in economics that could not be derived using previous stochastic orders.
Edit intent: clarity
Original: In this paper we provide a novel family of stochastic orders  , which we call the \alpha,[a,b]-concave stochastic orders , that generalizes second order stochastic dominance .
Revised: In this paper we provide a novel family of stochastic orders that generalizes second order stochastic dominance , which we call the \alpha,[a,b]-concave stochastic orders , that generalizes second order stochastic dominance .
Edit intent: fluency