wanyu/IteraTeR_v2 huggingface dataset:
Original:  To conclude, we deem that our model might open the way to further developments, based on evolutionary game theory, for studying several complex biological phenomena.
Revised:  Therefore, to conclude, we deem that our model might open the way to further developments, based on evolutionary game theory, for studying several complex biological phenomena.
Edit intent: coherence
Original:  To conclude, we deem that our model might open the way to further developments, based on evolutionary game theory, for studying several complex biological phenomena.
Revised:  To conclude, we deem that our model might be exploited for studying further biological phenomena.
Edit intent: clarity
Original: As the human brain develops, it increasingly supports the coordinated synchronization and control of  activity.
Revised: As the human brain develops, it increasingly supports the coordinated synchronization and control of neural activity.
Edit intent: clarity
Original:  The role of white matter in this coordination is poorly understood, nor is it easy to quantify how such structure emerges across development .
Revised:  The mechanism by which white matter evolves to support this coordination is poorly understood, nor is it easy to quantify how such structure emerges across development .
Edit intent: clarity
Original:  The role of white matter in this coordination is poorly understood, nor is it easy to quantify how such structure emerges across development .
Revised:  The role of white matter in this coordination is not well understood .
Edit intent: clarity
Original:  We use a network representation of diffusion imaging data to show the optimization of white matter connectivity  for a diverse range of dynamics in 190 adults from ages 18 to 22.
Revised:  We use a network representation of diffusion imaging data to show that white matter connectivity for a diverse range of dynamics in 190 adults from ages 18 to 22.
Edit intent: clarity
Original:  We use a network representation of diffusion imaging data to show the optimization of white matter connectivity  for a diverse range of dynamics in 190 adults from ages 18 to 22.
Revised:  We use a network representation of diffusion imaging data to show the optimization of white matter connectivity for a diverse range of predicted dynamics in development.
Edit intent: clarity
Original:   This work suggests mechanisms for the propagation and stabilization of brain activity associated with various spatial scales, illustrating the importance of white matter topology in brain maturation and cognition .
Revised:  This work suggests mechanisms for the propagation and stabilization of brain activity at various spatial scales, illustrating the importance of white matter topology in brain maturation and cognition .
Edit intent: clarity
Original: As the human brain develops, it increasingly supports the coordinated synchronization and control of neural activity.
Revised: As the human brain develops, it increasingly supports coordinated control of neural activity.
Edit intent: clarity
Original:  Such optimized topologies emerge across 882 youth from ages 8 to 22 evidencing increasing local specialization.
Edit intent: coherence
Original:  Seeking to investigate structural mechanisms that support these changes, we simulate network evolution with a set of growth rules , to find that all brain networks -- from child to adult -- are structured in a manner highly optimized for network control .
Revised:  Investigating structural mechanisms supporting these changes, we simulate network evolution with a set of growth rules , to find that all brain networks -- from child to adult -- are structured in a manner highly optimized for network control .
Edit intent: coherence
Original:  Seeking to investigate structural mechanisms that support these changes, we simulate network evolution with a set of growth rules , to find that all brain networks -- from child to adult -- are structured in a manner highly optimized for network control .
Revised:  Seeking to investigate structural mechanisms that support these changes, we simulate network evolution with a set of growth rules . We find that all brain networks -- from child to adult -- are structured in a manner highly optimized for network control .
Edit intent: coherence
Original:  Seeking to investigate structural mechanisms that support these changes, we simulate network evolution with a set of growth rules , to find that all brain networks -- from child to adult -- are structured in a manner highly optimized for network control .
Revised:  Seeking to investigate structural mechanisms that support these changes, we simulate network evolution with a set of growth rules , to find that all brain networks are structured in a manner highly optimized for network control .
Edit intent: clarity
Original:  This work suggests mechanisms for the propagation and stabilization of brain activity at various spatial scales, revealing a possible mechanism of human brain development that preferentially optimizes dynamic network control over static features of network architecture.
Revised:  This work reveals a possible mechanism of human brain development that preferentially optimizes dynamic network control over static features of network architecture.
Edit intent: clarity
Original:  This work suggests mechanisms for the propagation and stabilization of brain activity at various spatial scales, revealing a possible mechanism of human brain development that preferentially optimizes dynamic network control over static features of network architecture.
Revised:  This work suggests mechanisms for the propagation and stabilization of brain activity at various spatial scales, revealing a possible mechanism of human brain development that preferentially optimizes dynamic network control over static network architecture.
Edit intent: clarity
Original: Motivated by the need to extract meaning from large amounts of complex data that can be best modeled by graphs , we consider three critical problems in graph signal processing : localization, decomposition  and dictionary learning .
Revised: Motivated by the need to extract meaning from large amounts of complex structured data , we consider three critical problems in graph signal processing : localization, decomposition and dictionary learning .
Edit intent: clarity
Original: Motivated by the need to extract meaning from large amounts of complex data that can be best modeled by graphs , we consider three critical problems in graph signal processing : localization, decomposition  and dictionary learning .
Revised: Motivated by the need to extract meaning from large amounts of complex data that can be best modeled by graphs , we consider three critical problems on graphs : localization, decomposition and dictionary learning .
Edit intent: clarity
Original: Motivated by the need to extract meaning from large amounts of complex data that can be best modeled by graphs , we consider three critical problems in graph signal processing : localization, decomposition  and dictionary learning .
Revised: Motivated by the need to extract meaning from large amounts of complex data that can be best modeled by graphs , we consider three critical problems in graph signal processing : localization, decomposition , and dictionary learning .
Edit intent: fluency
Original:  For each of the three problems,  we propose a specific graph signal model, an optimization problem  and a computationally efficient solver.
Revised:  For each of the three problems, we propose a specific graph signal model, an optimization problem , and a computationally efficient solver.
Edit intent: fluency
Original:  The findings validate the effectiveness of our approach and suggest that graph signal processing tools may aid in urban planning and traffic forecasting.
Revised:  The findings validate the effectiveness of the approach and suggests that graph signal processing tools may aid in urban planning and traffic forecasting.
Edit intent: fluency
Original: In this paper we give the first deterministic polynomial-time approximation algorithm for computing complex-valued evaluations of  the Tutte polynomial and the independence polynomialon bounded degree graphs , as well for computing partition functions of complex-valued spin and edge-coloring models on\cal  bounded degree graphs .
Revised: In this paper we give the first deterministic polynomial-time approximation algorithms for computing complex-valued evaluations of the Tutte polynomial and the independence polynomialon bounded degree graphs , as well for computing partition functions of complex-valued spin and edge-coloring models on\cal bounded degree graphs .
Edit intent: fluency
Original: In this paper we give the first deterministic polynomial-time approximation algorithm for computing complex-valued evaluations of  the Tutte polynomial and the independence polynomialon bounded degree graphs , as well for computing partition functions of complex-valued spin and edge-coloring models on\cal  bounded degree graphs .
Revised: In this paper we give the first deterministic polynomial-time approximation algorithm for computing complex-valued evaluations of the Tutte polynomial and independence polynomial , as well for computing partition functions of complex-valued spin and edge-coloring models on\cal bounded degree graphs .
Edit intent: fluency
Original: In this paper we give the first deterministic polynomial-time approximation algorithm for computing complex-valued evaluations of  the Tutte polynomial and the independence polynomialon bounded degree graphs , as well for computing partition functions of complex-valued spin and edge-coloring models on\cal  bounded degree graphs .
Revised: In this paper we give the first deterministic polynomial-time approximation algorithm for computing complex-valued evaluations of the Tutte polynomial and the independence polynomialon bounded degree graphs , as well as partition functions of complex-valued spin and edge-coloring models on\cal bounded degree graphs .
Edit intent: fluency
Original:  Our work builds on a recent line of work initiated by Barvinok (A . Barvinok, Computing the permanent of (some) complex matrices, Foundations of Computational Mathematics (2014) 1-14.
Revised:  Our work builds on a recent line of work initiated by . Barvinok, Computing the permanent of (some) complex matrices, Foundations of Computational Mathematics (2014) 1-14.
Edit intent: coherence
Original:  More specifically, we define a large class of graph polynomials \mathcal C and show that if p\in \cal C and there is a disk D centered at zero in the complex plane such that p(G) does not vanish on D for all bounded degree graphs graphs G, then for each z in the interior of D there exists a deterministic polynomial-time approximation algorithm for evaluating p(G) at z.
Revised:  More specifically, we define a large class of graph polynomials \mathcal C and show that if p\in \cal C and there is a disk D centered at zero in the complex plane such that p(G) does not vanish on D for all bounded degree graphs G, then for each z in the interior of D there exists a deterministic polynomial-time approximation algorithm for evaluating p(G) at z.
Edit intent: fluency
Original:  It provides numerical characteristics  which reflect global geometric properties of data sets .
Revised:  It provides numerical characteristics of data sets which reflect global geometric properties of data sets .
Edit intent: fluency
Original:  It provides numerical characteristics  which reflect global geometric properties of data sets .
Revised:  It provides numerical characteristics which reflect global geometric properties .
Edit intent: clarity
Original:  Classical homology is a computable topological invariant because of the Mayer-Vietoris exact and spectral sequences associated to intrinsic coverings of a space.
Revised:  Classical homology is a computable topological invariant because of the Mayer-Vietoris exact and spectral sequences associated to coverings of a space.
Edit intent: clarity
Original:  The important point is that the advantages of distributed computation are not necessarily in speed improvement but  in sheer feasibility for large data sets.
Revised:  The important point is that the advantages of distributed computation are not necessarily in speed improvement but also in sheer feasibility for large data sets.
Edit intent: clarity
Original:  As an application, we create a distributed computational workflow where the advantage is not only  in speed improvement but also in sheer feasibility for large data sets.
Revised:  As an application, we create a distributed computational workflow where the advantage is not only in speed improvement but in sheer feasibility for large data sets.
Edit intent: fluency
Original:  We use this relationship to bound the probability that a random n-lift of a graph with minimum degree \delta is \delta-connected (for \delta%DIFDELCMD < \ge %%% 5) and prove several related results .
Revised:  We use this relationship to bound the probability that a random %DIFDELCMD < \ge %%% 5) and prove several related results .
Edit intent: clarity
Original:  The numerical experiments demonstrate its superior perfor- mance compared to other state-of-the-art software and its good parallel performance under strong and weak scaling.
Revised:  The numerical experiments demonstrate its superior performance compared to other state-of-the-art software and its good parallel performance under strong and weak scaling.
Edit intent: fluency
Original: The presence of physical knots has been observed in a small fraction of single-domain proteins and related to their thermodynamic and kinetic properties.
Revised: The presence of knots has been observed in a small fraction of single-domain proteins and related to their thermodynamic and kinetic properties.
Edit intent: clarity
Original:  The exchanging of identical structural elements  typical of domain-swapped proteins make them suitable candidates to validate this possibility .
Revised:  The exchanging of identical structural elements , typical of domain-swapped proteins make them suitable candidates to validate this possibility .
Edit intent: fluency
Original:  Our results provide a novel and robust topology-based classification of protein-swapped dimers together with some preliminary evidence of its impact on their physical and biological properties.
Revised:  Our results provide a novel topology-based classification of protein-swapped dimers together with some preliminary evidence of its impact on their physical and biological properties.
Edit intent: clarity
Original: The presence of a high-rate, but also cost-efficient and scalable, backhaul/fronthaul framework is essential in the upcoming fifth-generation (5G) wireless networks & beyond to facilitate the anticipated explosive growth in the number of various types of small cells and other RAN (radio access network) technologies, such as distributed antenna systems .
Revised: The presence of a high-rate, but also cost-efficient and scalable, backhaul/fronthaul framework is essential in the upcoming fifth-generation (5G) wireless networks & beyond .
Edit intent: coherence
Original:  Motivated by the mounting interest in Unmanned Aerial Vehicles (UAVs) for providing communications services and the recent advances in Free-Space Optics (FSO), this article investigates the feasibility of a novel vertical backhaul/fronthaul framework where UAVs, flying at a relatively lower altitude in comparison with commercial flights, transport the backhaul/fronthaul traffic between the access and core networks via point-to-point FSO links.
Revised:  Motivated by the mounting interest in Unmanned Aerial Vehicles (UAVs) for providing communications services and the recent advances in Free-Space Optics (FSO), this article investigates the feasibility of a novel vertical backhaul/fronthaul framework where the UAVs transport the backhaul/fronthaul traffic between the access and core networks via point-to-point FSO links.
Edit intent: coherence
Original:  Simulation results demonstrate that the FSO-based vertical backhaul/fronthaul framework offers data rates higher than the baseline alternatives at competing cost levels , and thus can be considered as a promising cost-effective and scalable solution to the emerging backhaul/fronthaul requirements of the 5G+ wireless networks, particularly in the presence of ultra-dense heterogeneous small cells.
Revised:  Simulation results demonstrate that the FSO-based vertical backhaul/fronthaul framework offers data rates higher than the baseline alternatives , and thus can be considered as a promising cost-effective and scalable solution to the emerging backhaul/fronthaul requirements of the 5G+ wireless networks, particularly in the presence of ultra-dense heterogeneous small cells.
Edit intent: clarity
Original:  Simulation results demonstrate that the FSO-based vertical backhaul/fronthaul framework offers data rates higher than the baseline alternatives at competing cost levels , and thus can be considered as a promising cost-effective and scalable solution to the emerging backhaul/fronthaul requirements of the 5G+ wireless networks, particularly in the presence of ultra-dense heterogeneous small cells.
Revised:  Simulation results demonstrate that the FSO-based vertical backhaul/fronthaul framework offers data rates higher than the baseline alternatives at competing cost levels , and thus can be considered as a promising solution to the emerging backhaul/fronthaul requirements of the 5G+ wireless networks, particularly in the presence of ultra-dense heterogeneous small cells.
Edit intent: clarity
Original: The presence of a high-rate , but also cost-efficient  and scalable, backhaul/fronthaul framework is essential in the upcoming fifth-generation (5G) wireless networks  beyond.
Revised: The presence of a high-rate , but also cost-efficient and scalable, backhaul/fronthaul framework is essential in the upcoming fifth-generation (5G) wireless networks \& beyond.
Edit intent: fluency
Original:  Motivated by the mounting interest in Unmanned Aerial Vehicles (UAVs)  for providing communications services and the recent advances in Free-Space Optics (FSO), this article investigates the feasibility of a novel vertical backhaul/fronthaul framework where the UAVs transport the backhaul/fronthaul traffic between the access and core networks via point-to-point FSO links.
Revised:  Motivated by the mounting interest in Unmanned Aerial Vehicles (UAVs) for providing communications services and the recent advances in free-space optics (FSO), this article investigates the feasibility of a novel vertical backhaul/fronthaul framework where the UAVs transport the backhaul/fronthaul traffic between the access and core networks via point-to-point FSO links.
Edit intent: fluency
Original:  Simulation results demonstrate that the FSO-based vertical backhaul/fronthaul framework offers data rates higher than the baseline alternatives, and thus can be considered as a promising solution to the emerging backhaul/fronthaul requirements of the 5G+ wireless networks, particularly in the presence of ultra-dense heterogeneous small cells.
Revised:  Simulation results demonstrate that the FSO-based vertical backhaul/fronthaul framework can offer data rates higher than the baseline alternatives, and thus can be considered as a promising solution to the emerging backhaul/fronthaul requirements of the 5G+ wireless networks, particularly in the presence of ultra-dense heterogeneous small cells.
Edit intent: clarity
Original:  We also present the challenges that accompany such a framework and provide some key ideas toward overcoming such challenges.
Revised:  The paper also presents the challenges that accompany such a framework and provide some key ideas toward overcoming such challenges.
Edit intent: clarity
Original:  We also present the challenges that accompany such a framework and provide some key ideas toward overcoming such challenges.
Revised:  We also present the challenges that accompany such a novel framework and provides some key ideas toward overcoming such challenges.
Edit intent: clarity
Original:  We also present the challenges that accompany such a framework and provide some key ideas toward overcoming such challenges.
Revised:  We also present the challenges that accompany such a framework and provide some key ideas towards overcoming these challenges.
Edit intent: fluency
Original:  As such, it focuses on fundamentals and motivation (using various application examples), aiming to strike an appropriate balance of breadth and depth {\em  that will enable someone having taken first graduate courses in matrix algebra and probability to get started doing research and/or developing tensor algorithms and software.
Revised:  As such, it focuses on fundamentals and motivation (using various application examples), aiming to strike an appropriate balance of breadth {\em that will enable someone having taken first graduate courses in matrix algebra and probability to get started doing research and/or developing tensor algorithms and software.
Edit intent: clarity
Original:  We present formal definitions of two hallmark features of OEE : unbounded evolution and innovation.
Revised:  We present formal definitions of two hallmark features : unbounded evolution and innovation.
Edit intent: clarity
Original:  We define unbounded evolution as patterns that are non-repeating within the expected Poincare\'e recurrence time of an equivalent isolated system, and innovation as trajectories not observed in isolated systems.
Revised:  We define unbounded evolution as patterns that are non-repeating within the expected Poincare recurrence time of an equivalent isolated system, and innovation as trajectories not observed in isolated systems.
Edit intent: fluency
Original:  As a case study, we test three new variants of cellular automata (CA) that implement time-dependent update rules against these two definitions.
Revised:  As a case study, we implement novel variants of cellular automata (CA) that implement time-dependent update rules against these two definitions.
Edit intent: clarity
Original:  We find that each is capable of generating conditions for OEE , but vary in their ability to do so.
Revised:  We find that each is capable of generating conditions for open-ended evolution , but vary in their ability to do so.
Edit intent: clarity
Original:  Our results demonstrate that state-dependent dynamics, widely regarded as a hallmark feature of life, statistically out-perform other candidate mechanisms .
Revised:  We find that state-dependent dynamics, widely regarded as a hallmark feature of life, statistically out-perform other candidate mechanisms .
Edit intent: clarity
Original:  Our results demonstrate that state-dependent dynamics, widely regarded as a hallmark feature of life, statistically out-perform other candidate mechanisms .
Revised:  Our results demonstrate that state-dependent dynamics, widely regarded as a hallmark of life, statistically out-perform other candidate mechanisms .
Edit intent: clarity
Original:  Our results demonstrate that state-dependent dynamics, widely regarded as a hallmark feature of life, statistically out-perform other candidate mechanisms .
Revised:  Our results demonstrate that state-dependent dynamics, widely regarded as a hallmark feature of life, statistically out-performs other candidate mechanisms .
Edit intent: fluency
Original:  Our results thereby suggest a new framework for unifying the mechanisms for generating OEE with features distinctive to life and its artifacts, with wide applicability to both biological and artificial systems.
Revised:  Our results thereby suggest a new framework for unifying mechanisms for generating OEE with features distinctive to life and its artifacts, with wide applicability to both biological and artificial systems.
Edit intent: fluency