wanyu/IteraTeR_v2 huggingface dataset:
Original:  Also, it is decidable whether or not SZ_{n, FIN}^{m}(LS) \subseteq R and R \subseteq SZ_{n, FIN}^{m}(LS) for any regular language R and labeled flat finite splicing system LS} . Also, any regular, context-free and recursively enumerable language can be represented as a homomorphic image of the Szilard language generated by the labeled flat  splicing systems of type (1, 2) ;
Revised:  Also, it is decidable whether or not SZ_{n, FIN}^{m}(LS) \subseteq R and R \subseteq SZ_{n, FIN}^{m}(LS) for any regular language R and labeled flat finite splicing system LS} . Also, any regular, context-free and recursively enumerable language can be represented as a homomorphic image of Szilard language of the labeled flat splicing systems of type (1, 2) ;
Edit intent: clarity
Original:  Also, it is decidable whether or not SZ_{n, FIN}^{m}(LS) \subseteq R and R \subseteq SZ_{n, FIN}^{m}(LS) for any regular language R and labeled flat finite splicing system LS} . Also, any regular, context-free and recursively enumerable language can be represented as a homomorphic image of the Szilard language generated by the labeled flat  splicing systems of type (1, 2) ;
Revised:  Also, it is decidable whether or not SZ_{n, FIN}^{m}(LS) \subseteq R and R \subseteq SZ_{n, FIN}^{m}(LS) for any regular language R and labeled flat finite splicing system LS} . Also, any regular, context-free and recursively enumerable language can be represented as a homomorphic image of the Szilard language generated by the labeled flat finite splicing systems of type (1, 2) ;
Edit intent: fluency
Original:  Also, it is decidable whether or not SZ_{n, FIN}^{m}(LS) \subseteq R and R \subseteq SZ_{n, FIN}^{m}(LS) for any regular language R and labeled flat finite splicing system LS} . Also, any regular, context-free and recursively enumerable language can be represented as a homomorphic image of the Szilard language generated by the labeled flat  splicing systems of type (1, 2) ;
Revised:  Also, it is decidable whether or not SZ_{n, FIN}^{m}(LS) \subseteq R and R \subseteq SZ_{n, FIN}^{m}(LS) for any regular language R and labeled flat finite splicing system LS} . Also, any regular, context-free and recursively enumerable language can be represented as a homomorphic image of the Szilard language generated by the labeled flat splicing systems of type (1, 2) ,
Edit intent: fluency
Original:  (2, 3 ) and (4, 3 ) respectively.
Revised:  (2, 2 ) and (4, 3 ) respectively.
Edit intent: coherence
Original:  We also introduce the idea of Control languages for labeled finite flat splicing systems and show that any  regular and context-free language can be generated as a Control language by these systems of type (1,2) and (2, * ) respectively.
Revised:  We also introduce the idea of control languages for labeled finite flat splicing systems and show that any regular and context-free language can be generated as a Control language by these systems of type (1,2) and (2, * ) respectively.
Edit intent: fluency
Original:  We also introduce the idea of Control languages for labeled finite flat splicing systems and show that any  regular and context-free language can be generated as a Control language by these systems of type (1,2) and (2, * ) respectively.
Revised:  We also introduce the idea of Control languages for labeled flat finite splicing systems and show that any regular and context-free language can be generated as a Control language by these systems of type (1,2) and (2, * ) respectively.
Edit intent: fluency
Original:  We also introduce the idea of Control languages for labeled finite flat splicing systems and show that any  regular and context-free language can be generated as a Control language by these systems of type (1,2) and (2, * ) respectively.
Revised:  We also introduce the idea of Control languages for labeled finite flat splicing systems and show that any regular and context-free language can be obtained as a control language of labeled flat finite splicing systems of type (1,2) and (2, * ) respectively.
Edit intent: clarity
Original:  We also introduce the idea of Control languages for labeled finite flat splicing systems and show that any  regular and context-free language can be generated as a Control language by these systems of type (1,2) and (2, * ) respectively.
Revised:  We also introduce the idea of Control languages for labeled finite flat splicing systems and show that any regular and context-free language can be generated as a Control language by these systems of type (1,2) and (2, 2 ) respectively.
Edit intent: coherence
Original:  At the end  we show that any recursively enumerable language can be generated as a Control language of labeled flat  splicing systems of type (4, 3) when \lambda -labeled rules are allowed.
Revised:  At the end , we show that any recursively enumerable language can be generated as a Control language of labeled flat splicing systems of type (4, 3) when \lambda -labeled rules are allowed.
Edit intent: fluency
Original:  At the end  we show that any recursively enumerable language can be generated as a Control language of labeled flat  splicing systems of type (4, 3) when \lambda -labeled rules are allowed.
Revised:  At the end we show that any recursively enumerable language can be obtained as a control language of labeled flat splicing systems of type (4, 3) when \lambda -labeled rules are allowed.
Edit intent: clarity
Original:  At the end  we show that any recursively enumerable language can be generated as a Control language of labeled flat  splicing systems of type (4, 3) when \lambda -labeled rules are allowed.
Revised:  At the end we show that any recursively enumerable language can be generated as a Control language of labeled flat splicing systems of type (4, \lambda -labeled rules are allowed.
Edit intent: coherence
Original: It is often thought that constraints affect creative production, both in terms of form and quality.
Revised: It is often said that constraints affect creative production, both in terms of form and quality.
Edit intent: clarity
Original:  In this work , we conduct a matched observational study to answer these questions.
Revised:  To answer these questions , we conduct a matched observational study to answer these questions.
Edit intent: clarity
Original:  On November 7, 2017, Twitter changed the maximum allowable length of a tweet from 140 to 280 characters,  significantly altering its signature constraint.
Revised:  On November 7, 2017, Twitter changed the maximum allowable length of a tweet from 140 to 280 characters, thereby significantly altering its signature constraint.
Edit intent: clarity
Original:  Also, although in general tweet success increases with length, we find initial evidence that tweets made to fit the 140 character constraint tend to be more successful than similar length tweets written when the constraint was removed, suggesting that the length constraint improved tweet quality.
Revised:  Also, although in general tweet success increases with length, we find initial evidence that tweets made to fit the 140-character constraint tend to be more successful than similar length tweets written when the constraint was removed, suggesting that the length constraint improved tweet quality.
Edit intent: fluency
Original:  Also, although in general tweet success increases with length, we find initial evidence that tweets made to fit the 140 character constraint tend to be more successful than similar length tweets written when the constraint was removed, suggesting that the length constraint improved tweet quality.
Revised:  Also, although in general tweet success increases with length, we find initial evidence that tweets made to fit the 140 character constraint tend to be more successful than similar-length tweets written when the constraint was removed, suggesting that the length constraint improved tweet quality.
Edit intent: fluency
Original:  Two primary causes of such latency include: (1) the compulsory erasing stage along with the writing stage and (2) the major difference in data width between the RCAM (e.g., 8-bit width) and the modern systems (e.g., 256-bit width).
Revised:  Two primary causes of such latency include: (1) the compulsory erasing stage along with the writing stage and (2) the major difference in data width between the RAM-based CAM (e.g., 8-bit width) and the modern systems (e.g., 256-bit width).
Edit intent: clarity
Original: In the last years, Bitcoins and Blockchain technologies are gathering a wide attention from different scientific communities.
Revised:  Bitcoins and Blockchain technologies are gathering a wide attention from different scientific communities.
Edit intent: coherence
Original: In the last years, Bitcoins and Blockchain technologies are gathering a wide attention from different scientific communities.
Revised: In the last years, Bitcoins and Blockchain technologies are attracting the attention of different scientific communities.
Edit intent: clarity
Original:  Notably, thanks to widespread industrial applications and to the continuous introduction of cryptocurrencies , even the public opinion is increasing its attention towards this field .
Revised:  In addition, their widespread industrial applications and to the continuous introduction of cryptocurrencies , even the public opinion is increasing its attention towards this field .
Edit intent: coherence
Original:  Notably, thanks to widespread industrial applications and to the continuous introduction of cryptocurrencies , even the public opinion is increasing its attention towards this field .
Revised:  Notably, thanks to widespread industrial applications and the continuous introduction of cryptocurrencies , even the public opinion is increasing its attention towards this field .
Edit intent: fluency
Original:  Notably, thanks to widespread industrial applications and to the continuous introduction of cryptocurrencies , even the public opinion is increasing its attention towards this field .
Revised:  Notably, thanks to widespread industrial applications and to the continuous introduction of cryptocurrencies are also stimulating the attention of the public opinion .
Edit intent: clarity
Original:  Accordingly, all nodes lay at the same level, so that there is no place for privileged actors as, for instance, banking institutions in classical financial networks.
Revised:  Accordingly, all nodes lie at the same level, so that there is no place for privileged actors as, for instance, banking institutions in classical financial networks.
Edit intent: fluency
Original:  In this work, we perform a preliminary investigation on two networks , i.e. the Bitcoin network and the Bitcoin Cash network.
Revised:  In this work, we perform a preliminary investigation on two kinds of network , i.e. the Bitcoin network and the Bitcoin Cash network.
Edit intent: clarity
Original:  Notably, we aim to analyze their global structure and  to evaluate if they are provided with a small-world behavior.
Revised:  Notably, we analyze their global structure and to evaluate if they are provided with a small-world behavior.
Edit intent: coherence
Original:  Notably, we aim to analyze their global structure and  to evaluate if they are provided with a small-world behavior.
Revised:  Notably, we aim to analyze their global structure and we try to evaluate if they are provided with a small-world behavior.
Edit intent: coherence
Original:  In addition , further observations open the way to new investigations into this direction.
Revised:  Moreover , further observations open the way to new investigations into this direction.
Edit intent: coherence
Original:  Despite that our algorithms do not use gradient information, our non-accelerated algorithm has a complexity bound which is , up to a factor logarithmic in problem dimension, similar to the complexity bound of gradient-based algorithms .
Revised:  Our non-accelerated algorithm has a complexity bound which is , up to a factor logarithmic in problem dimension, similar to the complexity bound of gradient-based algorithms .
Edit intent: coherence
Original:  Despite that our algorithms do not use gradient information, our non-accelerated algorithm has a complexity bound which is , up to a factor logarithmic in problem dimension, similar to the complexity bound of gradient-based algorithms .
Revised:  Despite that our algorithms do not use gradient information, our non-accelerated algorithm has a complexity bound which is similar to the complexity bound of gradient-based algorithms .
Edit intent: clarity
Original:  Despite that our algorithms do not use gradient information, our non-accelerated algorithm has a complexity bound which is , up to a factor logarithmic in problem dimension, similar to the complexity bound of gradient-based algorithms .
Revised:  Despite that our algorithms do not use gradient information, our non-accelerated algorithm has a complexity bound which is , up to a factor logarithmic in problem dimension, similar to the gradient-based algorithms .
Edit intent: fluency
Original:  In compression terms this equates to sequentially transmitting the data using an ordering determined by proximity in latent space.
Revised:  In compression terms this equates to sequentially transmitting the dataset using an ordering determined by proximity in latent space.
Edit intent: clarity
Original:  As the prior need only account for local, rather than global variations in the latent space, the coding cost is greatly reduced, leading to rich, informative codes , even when autoregressive decoders are used  . Experimental results on MNIST, CIFAR-10, ImageNet and CelebA show that ACNs can yield improved dataset compression relative to order-agnostic generative models, with an upper bound of 73.9 nats per image on binarized MNIST.
Revised:  Since the prior need only account for local, rather than global variations in the latent space, the coding cost is greatly reduced, leading to rich, informative codes , even when autoregressive decoders are used . Experimental results on MNIST, CIFAR-10, ImageNet and CelebA show that ACNs can yield improved dataset compression relative to order-agnostic generative models, with an upper bound of 73.9 nats per image on binarized MNIST.
Edit intent: fluency
Original:  As the prior need only account for local, rather than global variations in the latent space, the coding cost is greatly reduced, leading to rich, informative codes , even when autoregressive decoders are used  . Experimental results on MNIST, CIFAR-10, ImageNet and CelebA show that ACNs can yield improved dataset compression relative to order-agnostic generative models, with an upper bound of 73.9 nats per image on binarized MNIST.
Revised:  As the prior need only account for local, rather than global variations in the latent space, the coding cost is greatly reduced, leading to rich, informative codes . Crucially, the codes remain informative when powerful, autoregressive decoders are used . Experimental results on MNIST, CIFAR-10, ImageNet and CelebA show that ACNs can yield improved dataset compression relative to order-agnostic generative models, with an upper bound of 73.9 nats per image on binarized MNIST.
Edit intent: clarity
Original: We study the problem of generating interpretable and verifiable policies through reinforcement learning .
Revised: We study the problem of generating interpretable and verifiable agent policies .
Edit intent: clarity
Original:  Unlike the popular Deep Reinforcement Learning (DRL) paradigm, in which the policy is represented by a neural network, the aim in Programmatically Interpretable Reinforcement Learning is to find a policy that can be represented in a high-level  programming language.
Revised:  Unlike the popular Deep Reinforcement Learning (DRL) paradigm, which represents policies by neural networks, PIRL represents policies using a high-level programming language.
Edit intent: clarity
Original:  We propose a new method, called Neurally Directed Program Search (NDPS), for solving the challenging nonsmooth optimization problem of finding a programmatic policy with maxima reward.
Revised:  We propose a new method, called Neurally Directed Program Search (NDPS), for solving the challenging nonsmooth optimization problem of finding a programmatic policy with maximal reward.
Edit intent: fluency
Original:  We also find that a well-designed policy language can serve as a regularizer, and result in the discovery of policies that lead to smoother trajectoriesand are more easily transferred to environments not encountered during training  .
Revised:  We also show that PIRL policies can have smoother trajectories, and can be more easily transferred to environments not encountered during training .
Edit intent: clarity
Original: Principal component analysis (PCA) is often used for analysing data in the most diverse areas.
Revised: Principal component analysis (PCA) is often used for analyzing data in the most diverse areas.
Edit intent: fluency
Original:  It is not  how many different circuit structures can implement any given function, which evolutionary factors lead to different circuits, and whether the evolution of a particular circuit was due to adaptive or non-adaptive processes.
Revised:  It is not known how many different circuit structures can implement any given function, which evolutionary factors lead to different circuits, and whether the evolution of a particular circuit was due to adaptive or non-adaptive processes.
Edit intent: coherence
Original:  However, there are several considerations that have still to be evaluated as relevant or not in the study of epidemic spreading.
Revised:  The relevance of several considerations still needs to be evaluated as relevant or not in the study of epidemic spreading.
Edit intent: clarity
Original:  However, there are several considerations that have still to be evaluated as relevant or not in the study of epidemic spreading.
Revised:  However, there are several considerations that have still to be evaluated in the study of epidemic spreading.
Edit intent: clarity
Original:  One of these considerations is that of accounting for the influence of origin and destination patterns in the flow of the carriers of an epidemic.
Revised:  One of them is that of accounting for the influence of origin and destination patterns in the flow of the carriers of an epidemic.
Edit intent: clarity
Original:  The data-driven scenario where the estimation of origin and destination flows is considered is relevant to assess the impact of the epidemics at a microscopic level (in our scenario, which populations are infected) while turns out to be irrelevant when considering macroscopic incidence (fraction of infected populations).
Revised:  The data-driven scenario where the estimation of origin and destination flows is considered turns out to be relevant to assess the impact of the epidemics at a microscopic level (in our scenario, which populations are infected) while turns out to be irrelevant when considering macroscopic incidence (fraction of infected populations).
Edit intent: fluency
Original:  The data-driven scenario where the estimation of origin and destination flows is considered is relevant to assess the impact of the epidemics at a microscopic level (in our scenario, which populations are infected) while turns out to be irrelevant when considering macroscopic incidence (fraction of infected populations).
Revised:  The data-driven scenario where the estimation of origin and destination flows is considered is relevant to assess the impact of the epidemics at a microscopic level (in our scenario, which populations are infected) . However, this information is irrelevant to assess its macroscopic incidence (fraction of infected populations).
Edit intent: clarity
Original: In underlay cognitive radio networks (CRNs), the connectivity of secondary users (SUs) is difficult to be guaranteed due to the existence of primary users (PUs).
Revised: In cognitive radio networks (CRNs), the connectivity of secondary users (SUs) is difficult to be guaranteed due to the existence of primary users (PUs).
Edit intent: clarity
Original:  We name such CRNs with omni-directional antennas as Omn-CRNs. Compared with an omni-directional antenna, a directional antenna can concentrate the transmitting/receiving capability at a certain direction, consequently resulting in the less interference.
Revised:  We name such CRNs with omni-directional antennas as Omn-CRNs. Compared with an omni-directional antenna, a directional antenna can concentrate the transmitting/receiving capability at a certain direction, consequently resulting in less interference.
Edit intent: clarity
Original:    We provide applications of our main result in two domains, exact potential games and combinatorial auctions.
Revised:  Moreover, we provide an We provide applications of our main result in two domains, exact potential games and combinatorial auctions.
Edit intent: coherence
Original:    We provide applications of our main result in two domains, exact potential games and combinatorial auctions.
Revised:  optimal We provide applications of our main result in two domains, exact potential games and combinatorial auctions.
Edit intent: fluency
Original:  First, we show that finding a pure Nash equilibrium in 2-players N-action exact potential games requires polynomial (in N) communication.
Revised:  First, we show that finding a pure Nash equilibrium in 2-player N-action exact potential games requires polynomial (in N) communication.
Edit intent: fluency
Original:  The second domain that we consider is combinatoiral auctions, in which we prove that finding a local maximum of a combinatorial auctions requires exponential (in the number of items) communication even when the valuations are submodular.
Revised:  The second domain that we consider is combinatorial auctions, in which we prove that finding a local maximum of a combinatorial auctions requires exponential (in the number of items) communication even when the valuations are submodular.
Edit intent: fluency
Original:  The second domain that we consider is combinatoiral auctions, in which we prove that finding a local maximum of a combinatorial auctions requires exponential (in the number of items) communication even when the valuations are submodular.
Revised:  The second domain that we consider is combinatoiral auctions, in which we prove that finding a local maximum in combinatorial auctions requires exponential (in the number of items) communication even when the valuations are submodular.
Edit intent: clarity
Original:  The state of the art relies on hand-designed filters to extract motion representations that may not be optimal.
Revised:  The state of the art relies on hand-designed filters to extract representations that may not be optimal.
Edit intent: clarity
Original: In the framework of convolutional neural networks that lie at the heart of deep learning, downsampling is often performed with a max-pooling operation that however completely discards the information from other activations in a pooling region.
Revised: In the framework of convolutional neural networks that lie at the heart of deep learning, downsampling is often performed with a max-pooling operation that only retains the element with maximum activation, while completely discarding the information contained in other elements in a pooling region.
Edit intent: clarity
Original:  OPN rearranges all the elements of a pooling region in a sequence and assigns different weights to all the elements based upon their orders in the sequence, where the weights are learned via the gradient-based optimisation.
Revised:  OPN rearranges all the elements of a pooling region in a sequence and assigns different weights to these elements based upon their orders in the sequence, where the weights are learned via the gradient-based optimisation.
Edit intent: clarity
Original:  The results of our small-scale experiments on image classification task on MNIST database demonstrate that this scheme leads to a consistent improvement in the accuracy over max-pooling operation.
Revised:  The results of our small-scale experiments on image classification task demonstrate that this scheme leads to a consistent improvement in the accuracy over max-pooling operation.
Edit intent: clarity