wanyu/IteraTeR_v2 huggingface dataset:
Original:  Our results also help us make a distinction between interaction responses involved in maintaining a preferred flock configuration, and interaction responses directed at changing it  .
Revised:  By making a distinction between interaction responses involved in maintaining a preferred flock configuration, and interaction responses directed at changing it .
Edit intent: clarity
Original:  Standard approaches to this problem require numerical solutions for large optimization problems, and become unfeasible for systems involving  nonlinear dynamics over the reals  .
Revised:  Standard approaches to this problem require numerical solutions for large optimization problems, and become infeasible for systems involving nonlinear dynamics over the reals .
Edit intent: fluency
Original:  Our approach combines randomized sampling of probabilistic system parameters, SMT-based bounded reachability analysis ,  and statistical tests.
Revised:  Our approach encodes stochastic information by using random variables, and combines the randomized sampling , and statistical tests.
Edit intent: clarity
Original:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound way , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Revised:  We utilize \delta-complete decision procedure to solve reachability analysis in a sound way , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Edit intent: fluency
Original:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound way , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Revised:  We utilize \delta-complete decision procedures to solve reachability problems in a sound way , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Edit intent: clarity
Original:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound way , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Revised:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound manner , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Edit intent: clarity
Original:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound way , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Revised:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound way , i.e., it always decides correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Edit intent: clarity
Original:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound way , i.e., we always decide correctly if, for a given combination of parameters , the system actually reaches the unsafe region.
Revised:  We utilize \delta-complete decision procedures to solve reachability analysis in a sound way , i.e., we always decide correctly if, for a given assignment to all random variables , the system actually reaches the unsafe region.
Edit intent: clarity
Original:   Compared to standard simulation-based analysis methods, our approach supports non-deterministic branching, increases the coverage of simulation, and avoids the zero-crossing problem.
Revised:  Compared to standard simulation-based methods, our approach supports non-deterministic branching, increases the coverage of simulation, and avoids the zero-crossing problem.
Edit intent: clarity
Original: Buildings across the world contribute significantly to the over-all energy consumption and are thus stakeholders in grid operations.
Revised: Buildings across the world contribute significantly to the overall energy consumption and are thus stakeholders in grid operations.
Edit intent: fluency
Original:  High resolution (often at every 15 min-utes ) data from these smart meters can be used to understand and optimize energy consumptions in buildings.
Revised:  High resolution (often at every 15 minutes ) data from these smart meters can be used to understand and optimize energy consumptions in buildings.
Edit intent: fluency
Original:  This data has been lever-aged for a variety of applications such as demand response, appliance fault detection and optimizing HVAC schedules.
Revised:  This data has been leveraged for a variety of applications such as demand response, appliance fault detection and optimizing HVAC schedules.
Edit intent: fluency
Original:  Effective use of this data entails several critical areas from sensing to de-cision making and participatory involvement of occupants.
Revised:  Effective use of this data entails several critical areas from sensing to decision making and participatory involvement of occupants.
Edit intent: fluency
Original:  We propose a framework for such interaction upon which are based two models of stock market dynamics : the model for empirical study and its extended version for theoretical study .
Revised:  We propose a framework for such interaction and apply it to build a model of stock market dynamics : the model for empirical study and its extended version for theoretical study .
Edit intent: clarity
Original:  We propose a framework for such interaction upon which are based two models of stock market dynamics : the model for empirical study and its extended version for theoretical study .
Revised:  We propose a framework for such interaction upon which are based two models of stock market dynamics which we study both empirically and theoretically .
Edit intent: clarity
Original:  We demonstrate that these models replicate observed stock market behavior on all relevant timescales (from days to years) reasonably well.
Revised:  We demonstrate that this model replicates observed market behavior on all relevant timescales (from days to years) reasonably well.
Edit intent: clarity
Original:  Using the models , we obtain and discuss a number of results that pose implications for current market theory and offer potential practical applications.
Revised:  Using the model , we obtain and discuss a number of results that pose implications for current market theory and offer potential practical applications.
Edit intent: fluency
Original:  As our main tool, we generalize Karchmer-Wigderson game for monotone functions to work for non-monotone circuits parametrized by the weight/structure of the orientation.
Revised:  As our main tool, we generalize Karchmer-Wigderson gamefor monotone functions to work for non-monotone circuits parametrized by the weight/structure of the orientation.
Edit intent: fluency
Original:  Moreover, we found that measures of buriedness were better predictors of evolutionary variation than were measures of structural flexibility.
Revised:  Moreover, we found that measures of buriedness were better predictors of evolutionary variation than was structural flexibility.
Edit intent: fluency
Original:  In this article, we investigate the consequences of several such effects that are common to neuromorphic devices, more specifically limited hardware resources, limited parameter configurability and parameter variations due to fixed pattern noise .
Revised:  In this article, we investigate the consequences of several such factors that are common to neuromorphic devices, more specifically limited hardware resources, limited parameter configurability and parameter variations due to fixed pattern noise .
Edit intent: clarity
Original:  In this article, we investigate the consequences of several such effects that are common to neuromorphic devices, more specifically limited hardware resources, limited parameter configurability and parameter variations due to fixed pattern noise .
Revised:  In this article, we investigate the consequences of several such effects that are common to neuromorphic devices, more specifically limited hardware resources, limited parameter configurability and parameter variations .
Edit intent: clarity
Original:  Our final aim is to provide an array of methods for coping with such inevitable distortions .
Revised:  Our final aim is to provide an array of methods for coping with such inevitable distortion mechanisms .
Edit intent: clarity
Original:  For each network model, we start by defining quantifiable functionality measures by which we then assess the effects of typical hardware-induced distortions , both in idealized software simulations and on the ESS.
Revised:  For each network model, we start by defining quantifiable functionality measures by which we then assess the effects of typical hardware-specific distortion mechanisms , both in idealized software simulations and on the ESS.
Edit intent: clarity
Original:  For those effects that cause intolerable deviations from the original network dynamics, we suggest generic compensation mechanisms and demonstrate their effectiveness.
Revised:  For those effects that cause unacceptable deviations from the original network dynamics, we suggest generic compensation mechanisms and demonstrate their effectiveness.
Edit intent: fluency
Original:  We prove some closure properties and study at which conditions , finite support series are recognizable.
Revised:  We prove some properties of the model and study at which conditions , finite support series are recognizable.
Edit intent: clarity
Original:  We prove some closure properties and study at which conditions , finite support series are recognizable.
Revised:  We prove some closure properties and study at which conditions finite support series are recognizable.
Edit intent: fluency
Original:  Two canonical representations for Laurent binomial difference ideals are given using the reduced Groebner basis of Z[x] lattices and regular and coherent difference ascending chains, respectively.
Revised:  Two canonical representations for Laurent binomial difference ideals are given using the reduced Groebner basis of Z[x] -lattices and regular and coherent difference ascending chains, respectively.
Edit intent: fluency
Original:  Criteria for a Laurent binomial difference ideal to be reflexive, prime,  perfect, and toric are given in terms of their support lattices which are Z[x] lattices .
Revised:  Criteria for a Laurent binomial difference ideal to be reflexive, prime, perfect, and toric are given in terms of their support lattices which are Z[x] -lattices .
Edit intent: clarity
Original:  We provide a computational method to find the optimal placement and we estimate the relative quality of equispaced and random placements , proving that the former achieves optimality when the number of sensors goes to infinity  .
Revised:  We provide a computational method to find the optimal placement and we estimate the relative quality of equispaced and random placements . We prove that the former achieves optimality when the number of sensors goes to infinity .
Edit intent: fluency
Original:  Nematode Pat1-like elements were found to be a derived form of another PAT element that is present more widely in animals.
Revised:  Nematode Pat1-like elements were found to be a derived form of another pat1-like element that is present more widely in animals.
Edit intent: fluency
Original:  We show that 'trophic coherence' - a hitherto ignored feature of food webs which current structural models fail to reproduce - is significantly more correlated with stability than are size or complexity.
Revised:  We show that 'trophic coherence' -- a hitherto ignored feature of food webs which current structural models fail to reproduce - is significantly more correlated with stability than are size or complexity.
Edit intent: fluency
Original:  We show that 'trophic coherence' - a hitherto ignored feature of food webs which current structural models fail to reproduce - is significantly more correlated with stability than are size or complexity.
Revised:  We show that 'trophic coherence' - a hitherto ignored feature of food webs which current structural models fail to reproduce -- is a better statistical predictor of linear stability than size or complexity.
Edit intent: clarity
Original:  This report complements the 6-page introductory article presented at TRUST, by  answering the reviewer's comments in detail and reviewing the related work on open peer review .
Revised:  This report complements the 6-page introductory article presented at TRUST, by answering the reviewer's comments in detail .
Edit intent: clarity
Original:  The algorithm can be classified as a novel memetic algorithm (MA), given that (1) individuals represent pieces of information that undergo evolution, as in the original sense of memetics as it was introduced by Dawkins;
Revised:  The algorithm can be interpreted as a novel memetic algorithm (MA), given that (1) individuals represent pieces of information that undergo evolution, as in the original sense of memetics as it was introduced by Dawkins;
Edit intent: clarity
Original:  More precisely, it is a type theory in which linear types are allowed to depend on terms of intuitionistic types.
Edit intent: coherence
Original:  A syntax and (complete ) categorical semantics are developed, the latter in terms of (strict) indexed symmetric monoidal categories with comprehension.
Revised:  A syntax and complete categorical semantics are developed, the latter in terms of (strict) indexed symmetric monoidal categories with comprehension.
Edit intent: fluency
Original: We study the statistics of spike trains of simultaneously recorded grid cells in a freely behaving rat .
Revised: We study the statistics of spike trains of simultaneously recorded grid cells in freely behaving rats .
Edit intent: fluency
Original:  Even when we account for the covariations in firing rates due to overlapping fields, both  correlations and functional connections take positive values for pairs of cells with nearby phases .
Revised:  Even when we account for the covariations in firing rates due to overlapping fields, both the pairwise correlations and functional connections take positive values for pairs of cells with nearby phases .
Edit intent: clarity
Original:  We find similar results also when, in addition to correlations due to overlapping fields, we account for correlations due to theta oscillations and head directional inputs.
Revised:  We find similar results when, in addition to correlations due to overlapping fields, we account for correlations due to theta oscillations and head directional inputs.
Edit intent: clarity
Original:  The inferred connections between neurons in the same module and those from different modules can be both negative and positive , with a mean close to zero, but with the strongest inferred connections  found between cells of the same module.
Revised:  The inferred connections between neurons can be both negative and positive , with a mean close to zero, but with the strongest inferred connections found between cells of the same module.
Edit intent: clarity
Original:  The inferred connections between neurons in the same module and those from different modules can be both negative and positive , with a mean close to zero, but with the strongest inferred connections  found between cells of the same module.
Revised:  The inferred connections between neurons in the same module and those from different modules can be both negative and positive , with a mean close to zero, but the strongest inferred connections found between cells of the same module.
Edit intent: fluency
Original:  The inferred connections between neurons in the same module and those from different modules can be both negative and positive , with a mean close to zero, but with the strongest inferred connections  found between cells of the same module.
Revised:  The inferred connections between neurons in the same module and those from different modules can be both negative and positive , with a mean close to zero, but with the strongest inferred connections are found between cells of the same module.
Edit intent: clarity
Original:  Taken together, this suggests that grid cells in the same module do indeed form a local network of interconnected neurons with a functional connectivity consistent with that of a continuous attractor network .
Revised:  Taken together, our results suggest that grid cells in the same module do indeed form a local network of interconnected neurons with a functional connectivity consistent with that of a continuous attractor network .
Edit intent: coherence
Original:  Taken together, this suggests that grid cells in the same module do indeed form a local network of interconnected neurons with a functional connectivity consistent with that of a continuous attractor network .
Revised:  Taken together, this suggests that grid cells in the same module do indeed form a local network of interconnected neurons with a functional connectivity that supports a role for attractor dynamics in the generation of the grid pattern .
Edit intent: clarity
Original:  This factorization can be computed in O(n) time , if the rank of the perturbation is sufficiently small.
Revised:  This factorization can be computed in O(n) time if the rank of the perturbation is sufficiently small.
Edit intent: fluency
Original: We study percolation on networks, which is widely used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks.
Revised: We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks.
Edit intent: clarity
Original:  We reformulate percolation as a message passing process and use the resulting equations to show ,
Revised:  We reformulate percolation as a message passing process and demonstrate how the resulting equations to show ,
Edit intent: clarity
Original:  We reformulate percolation as a message passing process and use the resulting equations to show ,
Revised:  We reformulate percolation as a message passing process and use the resulting equations can be used to calculate ,
Edit intent: clarity
Original:  among other things, that for sparse networks , which includes most networks observed in the real world, the percolation threshold  is given by the inverse of the leading eigenvalue of the so-called non-backtracking matrix . Like most message passing calculations, our results are exact on networks that have few small loops but, as we show, they also provide bounds on the percolation behavior of networks that do contain loops .
Revised:  among other things, that for sparse networks , which includes most networks observed in the real world, the percolation threshold on a network with few loops is given by the inverse of the leading eigenvalue of the so-called non-backtracking matrix . Like most message passing calculations, our results are exact on networks that have few small loops but, as we show, they also provide bounds on the percolation behavior of networks that do contain loops .
Edit intent: clarity
Original:  among other things, that for sparse networks , which includes most networks observed in the real world, the percolation threshold  is given by the inverse of the leading eigenvalue of the so-called non-backtracking matrix . Like most message passing calculations, our results are exact on networks that have few small loops but, as we show, they also provide bounds on the percolation behavior of networks that do contain loops .
Revised:  among other things, that for sparse networks , which includes most networks observed in the real world, the percolation threshold is given by the inverse of the leading eigenvalue of the so-called non-backtracking matrix .
Edit intent: clarity
Original: We consider the complexity of equivalence and learning for multiplicity tree automata, i.e., weighted tree automata with weights in a field.
Revised: We consider the complexity of equivalence and learning for multiplicity tree automata, i.e., weighted tree automata over a field.
Edit intent: clarity
Original:  We first characterise the complexity of equivalence testing as being logspace equivalent to polynomial identity testing  .
Revised:  We first show that the equivalence problem is logspace equivalent to polynomial identity testing .
Edit intent: clarity
Original:  Secondly, we consider the problem of learning multiplicity tree automata in Angluin's exact learning model .
Revised:  Secondly, we derive lower bounds on the number of queries needed to learn multiplicity tree automata in Angluin's exact learning model .
Edit intent: clarity
Original:  Two approaches are considered, one where the (regulatory) capital is released back to shareholders upon counterparty default and one where the capital can be used to offset losses in the event of counterparty default  .
Revised:  Two approaches are considered, one where the (regulatory) capital is released back to shareholders upon counterparty default and one where the capital can be used to offset losses in the event of counterparty default are considered .
Edit intent: clarity
Original:  The paper assesses how KVA may be hedged, given that any hedging transactions themselves would lead to regulatory capital requirements and hence KVA.
Revised:  The paper assesses how KVA may be hedged, given that any hedging transactions themselves lead to regulatory capital requirements and hence KVA.
Edit intent: coherence
Original:  To conclude, a number of numerical examples are presented to gauge the cost impact of KVA on vanilla derivative products.
Revised:  Finally a number of numerical examples are presented to gauge the cost impact of KVA on vanilla derivative products.
Edit intent: coherence
Original:  The utilization of the capital for funding purposes and to offset losses in the event of counterparty default are considered.
Revised:  The utilization of the capital for funding purposes is also considered.
Edit intent: clarity
Original:  The paper  assesses how KVA may be hedged, given that any hedging transactions themselves lead to regulatory capital requirements and hence KVA .
Revised:  The paper also assesses how KVA may be hedged, given that any hedging transactions themselves lead to regulatory capital requirements and hence KVA .
Edit intent: clarity
Original:  The paper  assesses how KVA may be hedged, given that any hedging transactions themselves lead to regulatory capital requirements and hence KVA .
Revised:  The paper assesses how KVA may be hedged, given that any hedging transactions themselves lead to regulatory capital requirements and hence capital costs .
Edit intent: clarity
Original: Tandem duplications are an essential source of genetic novelty, and their prevalence in natural populations is expected to influence the trajectory of adaptive walks.
Revised: Tandem duplications are an essential source of genetic novelty, and their variation in natural populations is expected to influence the trajectory of adaptive walks.
Edit intent: clarity
Original: Tandem duplications are an essential source of genetic novelty, and their prevalence in natural populations is expected to influence the trajectory of adaptive walks.
Revised: Tandem duplications are an essential source of genetic novelty, and their prevalence in natural populations is expected to influence adaptive walks.
Edit intent: clarity
Original:  We observe an excess of duplicated genes involved in defense against pathogens,  chorion development, cuticular peptides, and lipases or endopeptidases associated with the accessory glands, as well as insecticide metabolism, suggesting that duplications function in Red Queen dynamics and rapid evolution.
Revised:  We observe an excess of duplicated genes involved in defense against pathogens, chorion development, cuticular peptides, and lipases or endopeptidases associated with the accessory glands, suggesting that duplications function in Red Queen dynamics and rapid evolution.
Edit intent: clarity