wanyu/IteraTeR_v2 huggingface dataset:
Original: We prove that the SubRosa substitution tilings with 2n-fold rotational symmetry defined by Kari and Rissanen are not planar for odd n.
Revised: We prove that the Sub Rosa substitution tilings with 2n-fold rotational symmetry defined by Kari and Rissanen are not planar for odd n.
Edit intent: fluency
Original: We  prove that the Sub Rosa substitution tilings with  2n-fold rotational symmetry  defined by Kari and Rissanen are not planar for odd n.
Revised: We prove that the Sub Rosa substitution tilings with a 2n-fold rotational symmetry defined by Kari and Rissanen are not planar for odd n.
Edit intent: fluency
Original:  However we prove the existence of planar substitution tilings with  2n-fold rotational symmetry for any odd n  . The tilings we consider are rhombic and edge-to-edge  .
Revised:  However we prove the existence of planar substitution tilings with a 2n-fold rotational symmetry for any odd n . The tilings we consider are rhombic and edge-to-edge .
Edit intent: fluency
Original:  However we prove the existence of planar substitution tilings with  2n-fold rotational symmetry for any odd n  . The tilings we consider are rhombic and edge-to-edge  .
Revised:  However we prove the existence of planar substitution tilings with 2n-fold rotational symmetry for any odd n . The tilings we consider are edge-to-edge .
Edit intent: coherence
Original:  We give an explicit  10-fold substitution planar tiling and we give a construction method for the general case of 2n-fold with odd n.
Revised:  We give an explicit construction for the 10-fold substitution planar tiling and we give a construction method for the general case of 2n-fold with odd n.
Edit intent: clarity
Original:  We give an explicit  10-fold substitution planar tiling and we give a construction method for the general case of 2n-fold with odd n.
Revised:  We give an explicit 10-fold case, and provide a construction method for the general case of 2n-fold with odd n.
Edit intent: clarity
Original:  We give an explicit  10-fold substitution planar tiling and we give a construction method for the general case of 2n-fold with odd n.
Revised:  We give an explicit 10-fold substitution planar tiling and we give a construction method for the general case of any odd n.
Edit intent: clarity
Original: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \text{Re k=1^K\bar b_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \ell k\bar z_\ell}+ \text{Re k=1^K\bar c_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \omega'_{\ell k}\cdot x}.
Revised: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \mathrm{Re k=1^K\bar b_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \ell k\bar z_\ell}+ \text{Re k=1^K\bar c_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \omega'_{\ell k}\cdot x}.
Edit intent: coherence
Original: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \text{Re k=1^K\bar b_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \ell k\bar z_\ell}+ \text{Re k=1^K\bar c_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \omega'_{\ell k}\cdot x}.
Revised: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \text{Re k=1^K\bar b_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \ell k\bar z_\ell}+ \mathrm{Re k=1^K\bar c_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \omega'_{\ell k}\cdot x}.
Edit intent: coherence
Original: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \text{Re k=1^K\bar b_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \ell k\bar z_\ell}+ \text{Re k=1^K\bar c_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \omega'_{\ell k}\cdot x}.
Revised: Estimates of the generalization error are proved for a residual neural network with L random Fourier features layers \bar z_{\ell+1}=\bar z_\ell + \text{Re k=1^K\bar b_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% i \ell k\bar z_\ell}+ \text{Re k=1^K\bar c_{\ell k}e^{ %DIFDELCMD < {\rm %DIFDELCMD < %%% \mathrm{i \omega'_{\ell k}\cdot x}.
Edit intent: coherence
Original:  The derivation is based on the corresponding generalization error to approximate function values f(x).
Revised:  This derivation is based on the corresponding generalization error to approximate function values f(x).
Edit intent: fluency
Original:  The derivation is based on the corresponding generalization error to approximate function values f(x).
Revised:  The derivation is based on the corresponding generalization error for the approximation of the function values f(x).
Edit intent: clarity
Original:  In this way, recent ideas from information thermodynamics may shed light on financial markets, and lead to generalised inequalities, in the spirit of the extended second law of thermodynamics.
Revised:  This suggests that recent ideas from information thermodynamics may shed light on financial markets, and lead to generalised inequalities, in the spirit of the extended second law of thermodynamics.
Edit intent: clarity
Original:  To overcome this bottleneck, we propose a robust architecture that employs a computational memory unit as the explicit memory performing analog in-memory computation on high-dimensional  vectors, while closely matching 32-bit software-equivalent accuracy.
Revised:  To overcome this bottleneck, we propose a robust architecture that employs a computational memory unit as the explicit memory performing analog in-memory computation on high-dimensional (HD) vectors, while closely matching 32-bit software-equivalent accuracy.
Edit intent: clarity
Original:  This is enabled by a content-based attention mechanism that represents unrelated items in the computational memory with uncorrelated high-dimensional vectors, whose real-valued components can be readily approximated by binary, or bipolar components.
Revised:  This is achieved by a content-based attention mechanism that represents unrelated items in the computational memory with uncorrelated high-dimensional vectors, whose real-valued components can be readily approximated by binary, or bipolar components.
Edit intent: clarity
Original:  This is enabled by a content-based attention mechanism that represents unrelated items in the computational memory with uncorrelated high-dimensional vectors, whose real-valued components can be readily approximated by binary, or bipolar components.
Revised:  This is enabled by a content-based attention mechanism that represents unrelated items in the computational memory with uncorrelated HD vectors, whose real-valued components can be readily approximated by binary, or bipolar components.
Edit intent: clarity
Original:  The surfaces can be translated into a raster or a tessellated surface of desired quality or exported as collections of tensor-product spline surfaces.
Revised:  The surfaces can be translated into a raster or a tessellated surface of desired quality or exported as collections of tensor product spline surfaces.
Edit intent: fluency
Original:  During decoding, when candidates terminate or are pruned according to heuristics, our streaming approach periodically `` refills" the batch before proceeding with a selected subset of candidates.
Revised:  During decoding, when candidates terminate or are pruned according to heuristics, our streaming approach periodically " refills" the batch before proceeding with a selected subset of candidates.
Edit intent: fluency
Original:  The analysis confirms results from the previous report but also points to new genes related to the phenotypes and an intriguing hierarchy in the genetic organization of these cells.
Revised:  The analysis confirms results obtained by conventional methods but also points to new genes related to the phenotypes and an intriguing hierarchy in the genetic organization of these cells.
Edit intent: clarity
Original: A central goal in neurobiology is to relate the expression of genes to the structural and functional properties of neuronal types, collectively called their phenotypes.
Revised: A fundamental problem in computational biology is to find a suitable representation of the high-dimensional gene expression data that is consistent with the structural and functional properties of neuronal types, collectively called their phenotypes.
Edit intent: clarity
Original: A central goal in neurobiology is to relate the expression of genes to the structural and functional properties of neuronal types, collectively called their phenotypes.
Revised: A central goal in neurobiology is to relate the expression of genes to the structural and functional properties of cell types, collectively called their phenotypes.
Edit intent: clarity
Original:  This new method, which we call factorized linear discriminant analysis (FLDA), seeks a linear transformation of gene expressions that varies highly with only one phenotypic factor and minimally with the others.
Revised:  This new method, which we call factorized linear discriminant analysis (FLDA), seeks a linear transformation of gene expressions that varies highly with only one phenotypic feature and minimally with the others.
Edit intent: clarity
Original:  This new method, which we call factorized linear discriminant analysis (FLDA), seeks a linear transformation of gene expressions that varies highly with only one phenotypic factor and minimally with the others.
Revised:  This new method, which we call factorized linear discriminant analysis (FLDA), seeks a linear transformation of gene expressions that varies highly with only one phenotypic factor and minimally with others.
Edit intent: fluency
Original:  We applied this approach to a single-cell RNA-Seq dataset of Drosophila T4/T5 neurons , focusing on their dendritic and axonal phenotypes.
Revised:  We illustrated this approach by applying it to a single-cell RNA-Seq dataset of Drosophila T4/T5 neurons , focusing on their dendritic and axonal phenotypes.
Edit intent: clarity
Original: Social contagion is a well-studied phenomenon in which people adopt beliefs that they are exposed to by their neighbors, and then pass those beliefs along to others.
Revised: Social contagion is the process in which people adopt beliefs that they are exposed to by their neighbors, and then pass those beliefs along to others.
Edit intent: clarity
Original:  Millions of beliefs, ideas, and practices (let's call them "diffusants") spread through social media every day.
Revised:  Millions of beliefs, ideas, and practices (let's call them "diffusants") spread through social contagion every day.
Edit intent: clarity
Original:  To assume that diffusants spread one at a time ( or more generously, that they spread independently of one another ) is to assume that interactions between diffusants have no influence on adoption patterns.
Revised:  To assume that diffusants spread one at a time - or more generously, that they spread independently of one another ) is to assume that interactions between diffusants have no influence on adoption patterns.
Edit intent: fluency
Original:  To assume that diffusants spread one at a time ( or more generously, that they spread independently of one another ) is to assume that interactions between diffusants have no influence on adoption patterns.
Revised:  To assume that diffusants spread one at a time ( or more generously, that they spread independently of one another - is to assume that interactions between diffusants have no influence on adoption patterns.
Edit intent: fluency
Original:  This paper makes a direct comparison between the spread of independent and interdependent beliefs using simulations, observational data analysis , and a 2400-subject laboratory experiment.
Revised:  This paper makes a direct comparison between the spread of independent and interdependent beliefs using simulations, observational data , and a 2400-subject laboratory experiment.
Edit intent: clarity
Original:  It also leads to the emergence of popular worldviews that are unconstrained by ground truth.
Revised:  It also coordinates structures of beliefs that can have both internal justification and social support without any grounding in external truth.
Edit intent: clarity
Original:  A new framework is presented that is fully nonlinear, provides a complete information theoretic disentanglement of causal processes, allows for nonlinear interactions between causes, identifies the causal strength of missing or unknown processes, and can analyze systems that cannot be represented in standard graphs.
Revised:  A new framework is presented that is fully nonlinear, provides a complete information theoretic disentanglement of causal processes, allows for nonlinear interactions between causes, identifies the causal strength of missing or unknown processes, and can analyze systems that cannot be represented on standard graphs.
Edit intent: clarity
Original:  The basic building blocks are information theoretic measures such as (conditional) mutual information and a new concept called certainty that monotonically increases with the information we have about a target process.
Revised:  The basic building blocks are information theoretic measures such as (conditional) mutual information and a new concept called certainty that monotonically increases with the information available about the target process.
Edit intent: clarity
Original:  The new framework is presented in detail and compared with other existing frameworks, and the treatment of confounders is discussed.
Revised:  The framework is presented in detail and compared with other existing frameworks, and the treatment of confounders is discussed.
Edit intent: clarity
Original:  While there are systems with structures  the framework cannot disentangle, it is argued that any causal framework that is based on integrated quantities will miss out potentially important information of the underlying probability density functions.
Revised:  While there are systems with structures that the framework cannot disentangle, it is argued that any causal framework that is based on integrated quantities will miss out potentially important information of the underlying probability density functions.
Edit intent: fluency
Original:  It is shown that the framework provides information on the local dynamics, but also reveals information on the larger scale structure of the underlying attractor.
Revised:  We show that the framework provides information on the local dynamics, but also reveals information on the larger scale structure of the underlying attractor.
Edit intent: coherence
Original:  In addition, unlike multi-molecule schemes, this hybrid scheme employs a single-molecule type and  simplifies transceiver implementations.
Revised:  In addition, unlike multi-molecule schemes, this hybrid scheme employs a single-molecule type and so simplifies transceiver implementations.
Edit intent: coherence
Original:  Numerically, MCPM is shown to offer improved performance over standard concentration and pulse position-based schemes in the low transmission power and high bit-rate regime.
Revised:  Numerically, MCPM shows improved performance over standard concentration and pulse position-based schemes in the low transmission power and high bit-rate regime.
Edit intent: clarity
Original:  SIAM J.\ on Computing, 1998 , and supports batches of insertions and deletions in parallel.
Revised:  , and supports batches of insertions and deletions in parallel.
Edit intent: clarity
Original:  The key techniques for achieving these bounds are a new work-efficient parallel batch-dynamic binary heap, and careful management of the computation across multiple points to minimize work and depth.
Revised:  The key techniques for achieving these bounds are a new work-efficient parallel batch-dynamic binary heap, and careful management of the computation across sets of points to minimize work and depth.
Edit intent: clarity
Original:  In addition, we also implement and compare four parallel algorithms for static closest pair problem, for which no practical implementationsexist in the literature .
Revised:  In addition, we also implement and compare four parallel algorithms for static closest pair problem, for which we are not aware of any existing practical implementations .
Edit intent: clarity
Original:  As far as we know, our work is the first to experimentally evaluate parallel algorithms for the closest pair problem , in both the static and the dynamic settings.
Revised:  As far as we know, our work is the first to experimentally evaluate parallel closest pair algorithms , in both the static and the dynamic settings.
Edit intent: clarity
Original:  For a data set of size n, our data structure supports a batch of insertions or deletions of size m in O(m  \log ((n+m)/m  )) expected work and O(\log (n+m)\log^*(n+m)) depth with high probability, and takes linear space.
Revised:  For a data set of size n, our data structure supports a batch of insertions or deletions of size m in O(m \log ((n+m)/m ) )) expected work and O(\log (n+m)\log^*(n+m)) depth with high probability, and takes linear space.
Edit intent: fluency
Original: In the last decade, the scale of creation and distribution of child sexual abuse medias (CSAM) has exponentially increased.
Revised: Child Sexual Abuse Media (CSAM) has exponentially increased.
Edit intent: clarity
Original:  Machine learning presents the potential to help law enforcement rapidly identify such material, and even block such content from being distributed digitally .
Revised:  Machine learning presents the potential to help law enforcement quickly identify CSAM and block digital distribution .
Edit intent: clarity
Original:  However, collecting and storing CSAM files to train machine learning models has many ethical and legal constraints, creating a barrier to the developmentof accurate computer vision-based models .
Revised:  However, collecting CSAM imagery to train machine learning models has many ethical and legal constraints, creating a barrier to the developmentof accurate computer vision-based models .
Edit intent: clarity
Original:  However, collecting and storing CSAM files to train machine learning models has many ethical and legal constraints, creating a barrier to the developmentof accurate computer vision-based models .
Revised:  However, collecting and storing CSAM files to train machine learning models has many ethical and legal constraints, creating a barrier to research development .
Edit intent: clarity
Original:  With such restrictions in place, the development of accurate machine learning classifiers for CSAM identification based on file metadata becomes crucial.
Revised:  With such restrictions in place, the development of CSAM machine learning detection systems based on file metadata becomes crucial.
Edit intent: clarity
Original:  Our approach uses convolutional neural networks , and achieves an accuracy of 97\% and recall of 94\%.
Revised:  Our approach uses convolutional neural networks and achieves an accuracy of 97\% and recall of 94\%.
Edit intent: fluency
Original:  RNA-seq analysis enables the probing of genes and corresponding transcripts which is essential for answering important biological questions, such as detecting novel exons, transcripts, gene expressions, and studying alternative splicing structure , to name a few . However, obtaining valid biological signals using these computational methods is challenging due to the limitations of modern sequencing technologies.
Revised:  RNA-seq analysis enables the probing of genes and corresponding transcripts which is essential for answering important biological questions, such as detecting novel exons, transcripts, gene expressions, and studying alternative splicing structure . However, obtaining valid biological signals using these computational methods is challenging due to the limitations of modern sequencing technologies.
Edit intent: coherence
Original:  RNA-seq analysis enables the probing of genes and corresponding transcripts which is essential for answering important biological questions, such as detecting novel exons, transcripts, gene expressions, and studying alternative splicing structure , to name a few . However, obtaining valid biological signals using these computational methods is challenging due to the limitations of modern sequencing technologies.
Revised:  RNA-seq analysis enables the probing of genes and corresponding transcripts which is essential for answering important biological questions, such as detecting novel exons, transcripts, gene expressions, and studying alternative splicing structure , to name a few . However, obtaining meaningful biological signals from raw data using computational methods is challenging due to the limitations of modern sequencing technologies.
Edit intent: clarity
Original:  These technological challenges have pushed the rapid development of many novel computational tools which have evolved and diversified in accordance with technological advancements, leading to the current myriad population of RNA-seq tools.
Revised:  The need to leverage these technological challenges have pushed the rapid development of many novel computational tools which have evolved and diversified in accordance with technological advancements, leading to the current myriad population of RNA-seq tools.
Edit intent: clarity
Original:  Our review provides a systemic overview of  235 available RNA-seq analysis tools across various domains published from 2008 to 2020.
Revised:  Our review provides a systemic overview of 235 available RNA-seq tools across various domains published from 2008 to 2020.
Edit intent: clarity
Original:  Additionally, we discuss the interdisciplinary nature of bioinformatics involved in RNA sequencing, analysis, and software development without laboring over the biological details .
Revised:  Additionally, we discuss the interdisciplinary nature of bioinformatics involved in RNA sequencing, analysis, and software development .
Edit intent: clarity
Original:  CAD designers perform modeling operations, such as sketch and extrude, to form a construction sequence that makes up a final design . Despite the pervasiveness of parametric CAD and  growing interest from the research community,  a dataset of human designed 3D CAD construction sequences has not been available to-date .
Revised:  CAD designers perform modeling operations, such as sketch and extrude, to form a construction sequence that makes up a final design . Despite the pervasiveness of parametric CAD and a growing interest from the research community, a dataset of human designed 3D CAD construction sequences has not been available to-date .
Edit intent: fluency
Original:  We outline a standard CAD reconstruction task , together with evaluation metrics, and present results from a novel method using neurally guided search to recover a construction sequence from raw geometry .
Revised:  We outline a standard CAD reconstruction task , together with evaluation metrics, and present results from a novel method using neurally guided search on this task .
Edit intent: clarity
Original:  In particular, our approach can be seen as an alternative to the class of modelsknown as Path Size Logit (PSL) . Second, we show how our model can generate violations of regularity in the path choice probabilities.
Revised:  In particular, our approach can be seen as an alternative to these models . Second, we show how our model can generate violations of regularity in the path choice probabilities.
Edit intent: clarity
Original:  In particular, we show that removing edges in the network can decrease the probability of some existing paths.
Revised:  In particular, we show that removing edges in the network may decrease the probability of some existing paths.
Edit intent: clarity
Original:  In particular, we show that removing edges in the network can decrease the probability of some existing paths.
Revised:  In particular, we show that removing edges in the network can decrease the probability for existing paths.
Edit intent: clarity