wanyu/IteraTeR_full_sent huggingface dataset:
Original:  Our arguments rely on the theory of self-normalized sums and high-dimensional central limit theorems. We contribute new theoretical results for testing problems with a large number of moment inequalities, including an anti-concentration inequality for the quasi-likelihood ratio (QLR ) statistic .
Revised:  As part of our theoretical arguments, we develop new simultaneous anti-concentration inequality for the quasi-likelihood ratio (QLR ) statistic .
Edit intent: meaning-changed
Original: We develop new procedures to quantify the statistical uncertainty of data-driven clustering algorithms. In our panel setting, each unit belongs to one of a finite number of latent groups with group-specific regression curves. We propose methods for computing unit-wise and joint confidence sets for group membership. The unit-wise sets give possible group memberships for a given unit and the joint sets give possible vectors of group memberships for all units .
Revised: We develop new procedures to quantify the statistical uncertainty of data-driven cluster assignment in clustered panel models. It covers the true cluster memberships jointly for all units .
Edit intent: clarity
Original:  The unit-wise sets give possible group memberships for a given unit and the joint sets give possible vectors of group memberships for all units . We also propose an algorithm that can improve the power of our procedures by detecting units that are easy to classify. The confidence sets invert a test for group membership that is based on a characterization of the true group memberships by a system of moment inequalities. To construct the joint confidence, we solve a high-dimensional testing problem that tests group membership simultaneously for all units .
Revised:  The unit-wise sets give possible group memberships for a given unit and the joint sets give possible vectors of group memberships for all units with pre-specified probability and is constructed by inverting many simultaneous unit-specific one-sided tests for group membership .
Edit intent: clarity
Original:  We justify this procedure under N, T \to \infty asymptotics where we allow T to be much smaller than N. As part of our theoretical arguments, we develop new simultaneous anti-concentration inequalities for the MAX and the QLR statistics.
Revised:  We justify our approach under N, T \to \infty asymptotics where we allow T to be much smaller than N. As part of our theoretical arguments, we develop new simultaneous anti-concentration inequalities for the MAX and the QLR statistics.
Edit intent: clarity
Original:  We justify this procedure under N, T \to \infty asymptotics where we allow T to be much smaller than N. As part of our theoretical arguments, we develop new simultaneous anti-concentration inequalities for the MAX and the QLR statistics. Monte Carlo results indicate that our confidence sets have adequate coverage and are informative. We illustrate the practical relevance of our confidence sets in two applications .
Revised:  We justify this procedure under N, T \to \infty asymptotics using tools from high-dimensional statistics, some of which we extend or develop in this paper. We provide an empirical application as well as Monte Carlo evidence that the confidence set has adequate coverage in finite samples .
Edit intent: meaning-changed
Original:  In this paper we give results for the valid inference of a treatment effect after selecting from among very many control variables and the estimation of instrumental variables with potentially very many instrumentswhen post- or orthogonal L_2-Boosting is used for the variable selection.
Revised:  In this paper , we provide results for valid inference after post- or orthogonal L_2-Boosting is used for variable selection. We consider treatment effects after selecting among many control variables and the estimation of instrumental variables with potentially very many instrumentswhen post- or orthogonal L_2-Boosting is used for the variable selection.
Edit intent: clarity
Original:  In this paper we give results for the valid inference of a treatment effect after selecting from among very many control variables and the estimation of instrumental variables with potentially very many instrumentswhen post- or orthogonal L_2-Boosting is used for the variable selection.
Revised:  In this paper we give results for the valid inference of a treatment effect after selecting from among very many control variables and instrumental variable models with potentially many instruments. To achieve this, we establish new results for the rate of convergence of iterated post-L_2-Boosting and orthogonal L_2-Boosting is used for the variable selection.
Edit intent: meaning-changed
Original:  In this paper we give results for the valid inference of a treatment effect after selecting from among very many control variables and the estimation of instrumental variables with potentially very many instrumentswhen post- or orthogonal L_2-Boosting is used for the variable selection. This setting allows for valid inference on low-dimensional components in a regression estimated with L_2-Boosting .
Revised:  In this paper we give results for the valid inference of a treatment effect after selecting from among very many control variables and the estimation of instrumental variables with potentially very many instrumentswhen post- or orthogonal L_2-Boosting in a high-dimensional setting similar to Lasso, i.e., under approximate sparsity without assuming the beta-min condition. These results are extended to the 2SLS framework and valid inference is provided for treatment effect analysis .
Edit intent: meaning-changed
Original:  We show that the gap is constant for any compact metric space . 2. We extend the above results to obtain constant gaps for the case of mm-spaces, where \rho is the p-Gromov-Wasserstein distance and the  clustering objective involves minimizing various notions of the \ell _p-diameters of the clusters.
Revised:  We show that the ratio between the sketching and clustering objectives is constant over compact metric spaces . 2. We extend the above results to obtain constant gaps for the case of mm-spaces, where \rho is the p-Gromov-Wasserstein distance and the clustering objective involves minimizing various notions of the \ell _p-diameters of the clusters.
Edit intent: meaning-changed
Original:  We show that the gap is constant for any compact metric space . 2. We extend the above results to obtain constant gaps for the case of mm-spaces, where \rho is the p-Gromov-Wasserstein distance and the  clustering objective involves minimizing various notions of the \ell _p-diameters of the clusters.
Revised:  We show that the gap is constant for any compact metric space . 2. We extend these results to the clustering objective involves minimizing various notions of the \ell _p-diameters of the clusters.
Edit intent: clarity
Original:  We show that the gap is constant for any compact metric space . 2. We extend the above results to obtain constant gaps for the case of mm-spaces, where \rho is the p-Gromov-Wasserstein distance and the  clustering objective involves minimizing various notions of the \ell _p-diameters of the clusters.
Revised:  We show that the gap is constant for any compact metric space . 2. We extend the above results to obtain constant gaps for the case of mm-spaces, where \rho is the p-Gromov-Wasserstein distance and the setting of metric measure spaces where we prove that the ratio of sketching to clustering objectives is bounded both above and below by some universal constants. In this setting, the clustering objective involves minimizing various notions of the \ell _p-diameters of the clusters.
Edit intent: meaning-changed
Original:  We show that the gap is constant for any compact metric space . 2. We extend the above results to obtain constant gaps for the case of mm-spaces, where \rho is the p-Gromov-Wasserstein distance and the  clustering objective involves minimizing various notions of the \ell _p-diameters of the clusters.
Revised:  We show that the gap is constant for any compact metric space . 2. We extend the above results to obtain constant gaps for the case of mm-spaces, where \rho is the p-Gromov-Wasserstein distance and the clustering objective involves minimizing various notions of the l _p-diameters of the clusters.
Edit intent: fluency
Original: In lifecycle economics the Samuelson paradigm (Samuelson, 1969) states that  optimal investment is in constant proportions out of lifetime wealth ( composed of current savings and future income) .
Revised: In lifecycle economics the Samuelson paradigm (Samuelson, 1969) states that optimal investment is in constant proportions out of lifetime wealth ( composed of current savings and the present value of future income .
Edit intent: meaning-changed
Original: This paper compares alternative univariate versus multivariate models, probabilistic versus Bayesian autoregressive and vector autoregressive specifications for hourly day-ahead electricity prices, with and without renewable energy sources  .
Revised: This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications for hourly day-ahead electricity prices, with and without renewable energy sources .
Edit intent: meaning-changed
Original: This paper compares alternative univariate versus multivariate models, probabilistic versus Bayesian autoregressive and vector autoregressive specifications for hourly day-ahead electricity prices, with and without renewable energy sources  .
Revised: This paper compares alternative univariate versus multivariate models, probabilistic versus Bayesian autoregressive and vector autoregressive specifications for hourly day-ahead electricity prices, with and without renewable energy sources (RES) .
Edit intent: meaning-changed
Original: This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications  for hourly day-ahead electricity prices,  with and without renewable energy sources (RES) . The accuracy of point and density forecasts are inspected in four main European markets (Germany, Denmark, Italy and Spain) characterized by different levels of renewable energy power generation.
Revised: This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications , for hourly day-ahead electricity prices, with and without renewable energy sources (RES) . The accuracy of point and density forecasts are inspected in four main European markets (Germany, Denmark, Italy and Spain) characterized by different levels of renewable energy power generation.
Edit intent: fluency
Original: This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications  for hourly day-ahead electricity prices,  with and without renewable energy sources (RES) . The accuracy of point and density forecasts are inspected in four main European markets (Germany, Denmark, Italy and Spain) characterized by different levels of renewable energy power generation.
Revised: This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications for hourly day-ahead electricity prices, both with and without renewable energy sources (RES) . The accuracy of point and density forecasts are inspected in four main European markets (Germany, Denmark, Italy and Spain) characterized by different levels of renewable energy power generation.
Edit intent: coherence
Original: This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications  for hourly day-ahead electricity prices,  with and without renewable energy sources (RES) . The accuracy of point and density forecasts are inspected in four main European markets (Germany, Denmark, Italy and Spain) characterized by different levels of renewable energy power generation.
Revised: This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications for hourly day-ahead electricity prices, with and without renewable energy sources . The accuracy of point and density forecasts are inspected in four main European markets (Germany, Denmark, Italy and Spain) characterized by different levels of renewable energy power generation.
Edit intent: clarity
Original: Most indirect hexahedral meshing methods rely on 10 patterns of subdivision of the hexahedron into tetrahedra . A recent observation at least one more pattern exists raise the question of the actual number of subdivisions  of the hexahedron into tetrahedra.
Revised: Most indirect hexahedral meshing methods rely on 10 patterns of subdivision of the hexahedron into tetrahedra are there? It is well known that a cube has five subdivisions into 6 tetrahedra and one subdivision into 5 tetrahedra. However, all hexahedra are not cubes and moving vertex positions increases the number of subdivisions of the hexahedron into tetrahedra.
Edit intent: meaning-changed
Original:  A recent observation at least one more pattern exists raise the question of the actual number of subdivisions  of the hexahedron into tetrahedra.
Revised:  A recent observation at least one more pattern exists raise the question of the actual number of subdivisions . Recent hexahedral dominant meshing methods try to take these configurations into account for combining tetrahedra into hexahedra, but fail to enumerate them all: they use only a set of 10 subdivisions among the 174 we found in this article. The enumeration of these 174 subdivisions of the hexahedron into tetrahedra.
Edit intent: meaning-changed
Original:  A recent observation at least one more pattern exists raise the question of the actual number of subdivisions  of the hexahedron into tetrahedra. In this articleanswers we enumerate these subdivisions by exhausting all possible ways to combine tetrahedra into hexahedra. We introduce a combinatorial algorithm that (1) generates all the combinations of tetrahedra that can be built from eight vertices and (2) tests if they subdivide a hexahedron or not. We use topological arguments and an efficient pruning strategy to drastically reduce this number. Our main result is that there are 6,966 combinatorialtriangulations of the hexahedron which can be classified into 174 equivalence classes.
Revised:  A recent observation at least one more pattern exists raise the question of the actual number of subdivisions of the hexahedron into tetrahedra is our main result. Each of the 174 equivalence classes.
Edit intent: meaning-changed
Original:  Our main result is that there are 6,966 combinatorialtriangulations of the hexahedron which can be classified into 174 equivalence classes. Our results are consistent with theoretical results available on the subdivision of the cube .
Revised:  Our main result is that there are 6,966 combinatorialtriangulations of the hexahedron which can be classified into 174 triangulations has between 5 and 15 tetrahedra and is actually a class of 2 to 48 equivalent instances which are identical up to vertex relabeling. This result is purely combinatorial. We also demonstrate that a minimum of 114 triangulations do correspond to hexahedron geometrical triangulations. Each hexahedron is valid for finite element computations (strictly positive Jacobian determinant). We exhibit the tetrahedral meshes for these geometries and show in particular triangulations of the hexahedron with 14 tetrahedra .
Edit intent: meaning-changed
Original:  Each of the 174 triangulations has between 5 and 15 tetrahedra and is actually a class of 2 to 48 equivalent instances which are identical up to vertex relabeling.
Revised:  Each of the 174 subdivisions has between 5 and 15 tetrahedra and is actually a class of 2 to 48 equivalent instances which are identical up to vertex relabeling.
Edit intent: clarity
Original:  This result is purely combinatorial. We also demonstrate that a minimum of 114 triangulations do correspond to hexahedron geometrical triangulations.Each hexahedron is valid for finite element computations (strictly positive Jacobian determinant) .
Revised:  We further show that exactly 171 of these subdivisions have a geometrical realization, i.e. there exist coordinates of the eight hexahedron vertices in a three-dimensional space such that the geometrical tetrahedral mesh is valid .
Edit intent: meaning-changed
Original:  Thanks to the object-oriented software design , this tool enables the user to design and compare multiple ABCEM modelsfrom a unified perspective. Thus, one can easily change the market mechanism or agent types . This makes it possible to quantitatively compare ABCEM models e.g. regarding the ability of each model to reproduce stylized facts.
Revised:  Thanks to the object-oriented software design enables the isolated implementation of building blocks for ABCEM models, such as agent types and market mechanisms. The user can design and compare ABCEM models e.g. regarding the ability of each model to reproduce stylized facts.
Edit intent: clarity
Original:  This makes it possible to quantitatively compare ABCEM models e.g. regarding the ability of each model to reproduce stylized facts. We present a qualitative study of three known ABCEM models and several variants of those .
Revised:  This makes it possible to quantitatively compare ABCEM models in a unified environment by recombining existing building blocks using the XML-based SABCEMM configuration file. We introduce an abstract ABCEM model class which our simulation tool is built upon .
Edit intent: meaning-changed
Original:  Furthermore, we discuss finite-size effects and time discretizations of ABCEM models. Finally, we show the great impact of different random number generators on the run time of ABCEM models and even on the qualitative output of the model .
Revised:  Furthermore, we present the software architecture as well as computational aspects of SABCEMM. Here, we focus on the efficiency of SABCEMM with respect to the run time of our simulations. We show the great impact of different random number generators on the run time of ABCEM models and even on the qualitative output of the model .
Edit intent: meaning-changed
Original: A major challenge in sensory neuroscience is to understand how complex stimuli are collectively encoded by neural circuits. In particular, the role of correlations between output neuronsis still unclear. Here we introduce a general strategy to equip an arbitrary model of stimulus encoding by single neurons with a network of couplings between output neurons.
Revised: Correlations in sensory neural networks have both extrinsic and intrinsic origins. Extrinsic or stimulus correlations arise from shared inputs to the network, and thus depend strongly on the stimulus ensemble. Intrinsic or noise correlations reflect biophysical mechanisms of interactions between neurons, which are expected to be robust to changes of the stimulus ensemble. Despite the importance of this distinction for understanding how sensory networks encode information collectively, no method exists to reliably separate intrinsic interactions from extrinsic correlations in neural activity data, limiting our ability to build predictive models of the network response. In this paper we introduce a general strategy to equip an arbitrary model of stimulus encoding by single neurons with a network of couplings between output neurons.
Edit intent: coherence
Original:  We develop a method for inferring both the parameters of the encoding model and the } couplings between neurons from simultaneously recorded retinal ganglion cells.
Revised:  We develop a method for inferring both the parameters of the encoding model and the }. The key to disentangling intrinsic from extrinsic correlations is to infer the couplings between neurons from simultaneously recorded retinal ganglion cells.
Edit intent: meaning-changed
Original:  We develop a method for inferring both the parameters of the encoding model and the } couplings between neurons from simultaneously recorded retinal ganglion cells. The inference method fits the couplings to accurately account for noise correlations, without affecting the performance in predicting the mean response .
Revised:  We develop a method for inferring both the parameters of the encoding model and the } couplings between neurons separately from the encoding model, and to combine the two using corrections calculated in a mean-field approximation .
Edit intent: meaning-changed
Original:  We demonstrate that the inferred couplings are independent of the stimulus used for learning, and can be used to predict the correlated activity in response to more complex stimuli.
Revised:  We demonstrate the effectiveness of this approach on retinal recordings. The same coupling network is inferred from responses to radically different stimulus ensembles, showing that these couplings indeed reflect stimulus-independent interactions between neurons. The inferred model predicts accurately the collective response of retinal ganglion cell populations as a function of the stimulus used for learning, and can be used to predict the correlated activity in response to more complex stimuli.
Edit intent: meaning-changed
Original:  A universal and objective metric , which is crucial and necessary to evaluate qualities of nanoscopy images and performances of localization algorithms , has not yet been established. The metrics of root mean square error (RMSE or accuracy) , precision, recall, and Jaccard index (JAC) are currently used in the literature but in certain conditions fail in distinguishing qualities of different nanoscopy images .
Revised:  A universal and objective metric , which is crucial and necessary to evaluate qualities of nanoscopy images and performances of localization algorithms . In this paper, we propose root mean square error (RMSE or accuracy) , precision, recall, and Jaccard index (JAC) are currently used in the literature but in certain conditions fail in distinguishing qualities of different nanoscopy images .
Edit intent: coherence
Original:  The metrics of root mean square error (RMSE or accuracy) , precision, recall, and Jaccard index (JAC) are currently used in the literature but in certain conditions fail in distinguishing qualities of different nanoscopy images .
Revised:  The metrics of root mean square minimum distance (RMSMD) as a quality metric for localization nanoscopy images. RMSMD measures an average, local, and mutual fitness between two sets of points. Its properties common to a distance metric as well as unique to itself are presented. The ambiguity, discontinuity, and inappropriateness of the metrics of accuracy, precision, recall, and Jaccard index (JAC) are currently used in the literature but in certain conditions fail in distinguishing qualities of different nanoscopy images .
Edit intent: meaning-changed
Original:  The metrics of root mean square error (RMSE or accuracy) , precision, recall, and Jaccard index (JAC) are currently used in the literature but in certain conditions fail in distinguishing qualities of different nanoscopy images .
Revised:  The metrics of root mean square error (RMSE or accuracy) , precision, recall, and Jaccard index , which are currently used in the literature but in certain conditions fail in distinguishing qualities of different nanoscopy images .
Edit intent: clarity
Original:  The metrics of root mean square error (RMSE or accuracy) , precision, recall, and Jaccard index (JAC) are currently used in the literature but in certain conditions fail in distinguishing qualities of different nanoscopy images .
Revised:  The metrics of root mean square error (RMSE or accuracy) , precision, recall, and Jaccard index (JAC) are currently used in the literature , are analyzed. A numerical example demonstrates the advantages of RMSMD over the four existing metrics that fail to distinguish qualities of different nanoscopy images .
Edit intent: meaning-changed