wanyu/IteraTeR_full_sent huggingface dataset:
Original:  In particular, we show that when the RKHS is infinite dimensional , any lower bound must depend on the cardinalities of the persistence diagrams, and that when the RKHS is finite dimensional, finding a bi-Lipschitz embedding is impossible, even when restricting the persistence diagrams to have bounded cardinalities.
Revised:  In particular, we show that for several stable embeddings into infinite-dimensional Hilbert spaces defined in the literature , any lower bound must depend on the cardinalities of the persistence diagrams, and that when the RKHS is finite dimensional, finding a bi-Lipschitz embedding is impossible, even when restricting the persistence diagrams to have bounded cardinalities.
Edit intent: meaning-changed
Original:  In particular, we show that when the RKHS is infinite dimensional , any lower bound must depend on the cardinalities of the persistence diagrams, and that when the RKHS is finite dimensional, finding a bi-Lipschitz embedding is impossible, even when restricting the persistence diagrams to have bounded cardinalities.
Revised:  In particular, we show that when the RKHS is infinite dimensional , any lower bound must depend on the cardinalities of the persistence diagrams, and that when the Hilbert space is finite dimensional, finding a bi-Lipschitz embedding is impossible, even when restricting the persistence diagrams to have bounded cardinalities.
Edit intent: meaning-changed
Original: The function of proteins is determined by a combination of their structure and dynamics. Acquisition of structural information has recently been revolutionized by advances in electron microscopy, however protein dynamics is difficult to obtain over long timescales. Here we show a novel plasmon ruler based single molecule approach to study the conformational dynamics of single proteins over 24 hours at video rate in and out of equilibrium (i. e. in the absence and presence of ATP).
Revised: We use plasmon rulers to follow the conformational dynamics of single proteins over 24 hours at video rate in and out of equilibrium (i. e. in the absence and presence of ATP).
Edit intent: clarity
Original:  Here we show a novel plasmon ruler based single molecule approach to study the conformational dynamics of single proteins over 24 hours at video rate in and out of equilibrium (i. e. in the absence and presence of ATP).
Revised:  Here we show a novel plasmon ruler based single molecule approach to study the conformational dynamics of a single protein for up to 24 hours at video rate in and out of equilibrium (i. e. in the absence and presence of ATP).
Edit intent: clarity
Original:  Here we show a novel plasmon ruler based single molecule approach to study the conformational dynamics of single proteins over 24 hours at video rate in and out of equilibrium (i. e. in the absence and presence of ATP). This approach does not impose external force on the proteins and allows to measure protein dynamics over several orders of magnitude, which cannot be achieved by the established single molecule techniques. We used this technique to explore the dynamics of the  heat shock protein 90 (Hsp90) and find (beside the well-known fast dynamics in the range netween 0.1 and 10 s) states with very long dwell times (linked to rarely visited states) in the minute timescale, which could indicate, for instance, pathways to protein denaturation.
Revised:  Here we show a novel plasmon ruler based single molecule approach to study the conformational dynamics of single proteins over 24 h at a video rate. The plasmon ruler consists of two gold nanospheres connected by a single protein linker. In our experiment, we follow the dynamics of the heat shock protein 90 (Hsp90) and find (beside the well-known fast dynamics in the range netween 0.1 and 10 s) states with very long dwell times (linked to rarely visited states) in the minute timescale, which could indicate, for instance, pathways to protein denaturation.
Edit intent: meaning-changed
Original:  We used this technique to explore the dynamics of the  heat shock protein 90 (Hsp90) and find (beside the well-known fast dynamics in the range netween 0.1 and 10 s) states with very long dwell times (linked to rarely visited states) in the minute timescale, which could indicate, for instance, pathways to protein denaturation.
Revised:  We used this technique to explore the dynamics of the molecular chaperone heat shock protein 90 (Hsp90) and find (beside the well-known fast dynamics in the range netween 0.1 and 10 s) states with very long dwell times (linked to rarely visited states) in the minute timescale, which could indicate, for instance, pathways to protein denaturation.
Edit intent: meaning-changed
Original:  We used this technique to explore the dynamics of the  heat shock protein 90 (Hsp90) and find (beside the well-known fast dynamics in the range netween 0.1 and 10 s) states with very long dwell times (linked to rarely visited states) in the minute timescale, which could indicate, for instance, pathways to protein denaturation. Our plasmon ruler based method will enable to access the full complexity of correlated local and global conformational dynamics on the level of individual proteins and therefore extend and complement the current "structure / function" paradigm with a novel "structure / timescale / function" description.
Revised:  We used this technique to explore the dynamics of the heat shock protein 90 , which is known to show open and closed conformations. Our measurements confirm the previously known conformational dynamics with transition times in the second to minute time scale and reveals new dynamics on the level of individual proteins and therefore extend and complement the current "structure / function" paradigm with a novel "structure / timescale / function" description.
Edit intent: clarity
Original:  Our plasmon ruler based method will enable to access the full complexity of correlated local and global conformational dynamics on the level of individual proteins and therefore extend and complement the current "structure / function" paradigm with a novel "structure / timescale / function" description.
Revised:  Our plasmon ruler based method will enable to access the full complexity of correlated local and global conformational dynamics on the time scale of minutes to hours. Plasmon rulers thus extend the observation bandwidth 3 / function" paradigm with a novel "structure / timescale / function" description.
Edit intent: meaning-changed
Original:  Our plasmon ruler based method will enable to access the full complexity of correlated local and global conformational dynamics on the level of individual proteins and therefore extend and complement the current "structure / function" paradigm with a novel "structure / timescale / function" description. Access to the dynamics of a single protein over more than 6 orders of magnitude further allows us to address important questions like conformational heterogeneity among proteins, ergodic behavior, and nonMarkovian dynamics, ultimately extending the often static view of biomolecules with a more dynamic picture .
Revised:  Our plasmon ruler based method will enable to access the full complexity of correlated local and global conformational dynamics on the level of individual proteins and therefore extend and complement the current "structure / 4 orders of magnitude further allows us to address important questions like conformational heterogeneity among proteins, ergodic behavior, and nonMarkovian dynamics, ultimately extending the often static view of biomolecules with a more dynamic picture .
Edit intent: meaning-changed
Original:  Access to the dynamics of a single protein over more than 6 orders of magnitude further allows us to address important questions like conformational heterogeneity among proteins, ergodic behavior, and nonMarkovian dynamics, ultimately extending the often static view of biomolecules with a more dynamic picture .
Revised:  Access to the dynamics of a single protein over more than 6 orders of magnitude with respect to single-molecule fluorescence resonance energy transfer and enable the study of molecular dynamics with unprecedented precision .
Edit intent: meaning-changed
Original:  We show that inference based on the usual cluster-robust standard errors by White (1984 ) is invalid in general when the number of controls is a non-vanishing fraction of the sample size.
Revised:  We show that inference based on the usual cluster-robust standard errors by Liang and Zeger (1986 ) is invalid in general when the number of controls is a non-vanishing fraction of the sample size.
Edit intent: meaning-changed
Original:  We then propose a new clustered standard errors formula that is robust to the inclusion of many controls and allows to carry out valid inference in a variety of high-dimensional linear regression models, including multi-way fixed effects panel data models and the semiparametric partially linear model.
Revised:  We then propose a new clustered standard errors formula that is robust to the inclusion of many controls and allows to carry out valid inference in a variety of high-dimensional linear regression models, including fixed effects panel data models and the semiparametric partially linear model.
Edit intent: clarity
Original:  This is the chemotactic basis for the  Local Excitation, Global Inhibition (LEGI) model. A generalization of the model for the communication component of the LEGI model is proposed. Doing so permits us to study in detail how gradient sensing changes as a function of the structure of the communication term.
Revised:  This is the chemotactic basis for the Local Excitation, Global Inhibition (LEGI) principle, wherein the strength of the external chemical field is sensed through a comparison between a local exciting species and a global inhibitor that is shared via intra-cellular reactions in the cell chain. In this study we generalize the nearest neighbor communication mechanism in the above-mentioned LEGI model in order to explore how the chemical sensing characteristics depend on the parameterization of the communication term.
Edit intent: meaning-changed
Original:  Doing so permits us to study in detail how gradient sensing changes as a function of the structure of the communication term. The key findings of this study are, an accounting of how gradient sensing is affected by the competition of communication and diffusive processes; the determination of the scale dependence of the model outcomes;
Revised:  Doing so permits us to study in detail how gradient sensing changes as a function of the structure of the communication itself, cell size, and the scale dependence of the model outcomes;
Edit intent: meaning-changed
Original:  the determination of the scale dependence of the model outcomes; the sensitivity of communicationto parameters in the model. Together with an essential analysis of the dynamics of the model, these findings can prove useful in suggesting experiments aimed at determining the viability of a communication mechanism in chemotactic dynamics of chains and networks of cells exposed to a chemical concentration gradient .
Revised:  the determination of the scale dependence of the communication mechanism were better able to sense an external gradient. However, an analysis of the dynamics of the model, these findings can prove useful in suggesting experiments aimed at determining the viability of a communication mechanism in chemotactic dynamics of chains and networks of cells exposed to a chemical concentration gradient .
Edit intent: meaning-changed
Original:  Together with an essential analysis of the dynamics of the model, these findings can prove useful in suggesting experiments aimed at determining the viability of a communication mechanism in chemotactic dynamics of chains and networks of cells exposed to a chemical concentration gradient .
Revised:  Together with an essential analysis of the signal to noise ratio established that higher order models for communication were more prone to noise and thus have a lower signal to noise ratio. The generalization as well as the tools used in the analysis of the dynamics can be extended to more heterogeneous networks and can thus prove useful in suggesting experiments aimed at determining the viability of a communication mechanism in chemotactic dynamics of chains and networks of cells exposed to a chemical concentration gradient .
Edit intent: meaning-changed
Original:  Furthermore, an attention mechanism is embedded to our model to add to its interpretability, as illustrated in case studies for predicting and explaining selective drug-target interactions. 
Revised:  Furthermore, an attention mechanism is embedded to our model to add to its interpretability, as illustrated in case studies for predicting and explaining selective drug-target interactions. Lastly, alternative representations using protein sequences or compound graphs and a unified RNN/GCNN-CNN model using graph CNN (GCNN) are also explored to reveal algorithmic challenges ahead. Availability: Data and source codes are available at URL Supplementary Information: Supplementary data are available at URL
Edit intent: meaning-changed
Original:  This framework comprises (i) a collection of EEG datasets currently comprising 100 examples (recording sessions) from six different classification problems, (ii) a collection of different EEG decoding algorithms, and (iii) a wrapper linking the decoders to the data as well as handling structured documentation of all settings and (hyper-) parameters and statistics, designed to ensure transparency and reproducibility.
Revised:  This framework comprises (i) a collection of EEG datasets currently including 100 examples (recording sessions) from six different classification problems, (ii) a collection of different EEG decoding algorithms, and (iii) a wrapper linking the decoders to the data as well as handling structured documentation of all settings and (hyper-) parameters and statistics, designed to ensure transparency and reproducibility.
Edit intent: fluency
Original:  As an applications example we used our framework by comparing three publicly available CNN architectures: the Braindecode Deep4 ConvNet, Braindecode Shallow ConvNet, and  EEGNet.
Revised:  As an applications example we used our framework by comparing three publicly available CNN architectures: the Braindecode Deep4 ConvNet, Braindecode Shallow ConvNet, and two versions of EEGNet.
Edit intent: meaning-changed
Original:  We explore its implications from the perspective of empirical market microstructure, and argue that it provides a sensible inference procedure to cure some pathologies encountered in recent attempts to calibrate cross-impact matrices. 
Revised:  We explore its implications from the perspective of empirical market microstructure, and argue that it provides a sensible inference procedure to cure some pathologies encountered in recent attempts to calibrate cross-impact matrices. As an illustration, we determine the empirical cross impact matrix of US. Treasuries, and compare the results with recent alternative calibration methods.
Edit intent: meaning-changed
Original:  Integrated Information Theory (IIT) provides a mathematical approach to quantify the level of integration in a system . Nevertheless , it is not yet well understood how integration scales up with the size of a system or with different temporal scales of activity, nor how a system maintains its integration as its interacts with its environment.
Revised:  Integrated Information Theory (IIT) provides a mathematical approach to quantify the level of integration in a system , yet its computational cost generally precludes its applications beyond relatively small models. In consequence , it is not yet well understood how integration scales up with the size of a system or with different temporal scales of activity, nor how a system maintains its integration as its interacts with its environment.
Edit intent: meaning-changed
Original:  We argue that modelling and understanding how measures of information integration operate in these scenarios is fundamental to adequately capture integration in systems such as the brain. We propose a simplified and modified version of integrated information \phi%DIFDELCMD < } %%% in order to explore these questions.
Revised:  We argue that modelling and understanding how measures of information integration \phi%DIFDELCMD < } %%% in order to explore these questions.
Edit intent: clarity
Original:  We propose a simplified and modified version of integrated information \phi%DIFDELCMD < } %%% in order to explore these questions. Using mean field approximations, we measure \phi%DIFDELCMD < } %%% in a kinetic Ising models of infinite size.
Revised:  We propose a simplified and modified version of integrated information \phi%DIFDELCMD < } %%% \phi%DIFDELCMD < } %%% in a kinetic Ising models of infinite size.
Edit intent: coherence
Original:  Using mean field approximations, we measure \phi%DIFDELCMD < } %%% in a kinetic Ising models of infinite size. We find that information integration diverges in some cases when the system is near critical pointsin continuous phase transitions .
Revised:  Using mean field approximations, we measure \phi%DIFDELCMD < } %%% in a kinetic Ising models and mean-field approximations from statistical mechanics, we show that information integration diverges in some cases when the system is near critical pointsin continuous phase transitions .
Edit intent: meaning-changed
Original:  Finally, we model a system that maintains integrated information when interacting with a range of different environments by generating a critical surface spanning a parametric region of the environment. We conclude by discussing how thinking about integrated information in the thermodynamic limit opens fruitful research avenues for studying URLanization of biological  and cognitive systems.
Revised:  Finally, we model a system that maintains integrated information when interacting with a range of different environments by generating a critical surface where its integrity is preserved. We argue that the exploration of integrated information for these limit cases helps in addressing a variety of poorly understood questions about URLanization of biological and cognitive systems.
Edit intent: meaning-changed
Original: Since Bartik (1991), it has become popular in empirical studies to estimate regressions in which the variable of interest is a shift-share  , such as when a regional labor market outcome is regressed on a weighted average of observed sectoral shocks, using the regional sector shares as weights.
Revised: We study inference in shift-share , such as when a regional labor market outcome is regressed on a weighted average of observed sectoral shocks, using the regional sector shares as weights.
Edit intent: clarity
Original: Since Bartik (1991), it has become popular in empirical studies to estimate regressions in which the variable of interest is a shift-share  , such as when a regional labor market outcome is regressed on a weighted average of observed sectoral shocks, using the regional sector shares as weights.
Revised: Since Bartik (1991), it has become popular in empirical studies to estimate regressions in which the variable of interest is a shift-share regression designs , such as when a regional labor market outcome is regressed on a weighted average of observed sectoral shocks, using the regional sector shares as weights.
Edit intent: meaning-changed
Original: Since Bartik (1991), it has become popular in empirical studies to estimate regressions in which the variable of interest is a shift-share  , such as when a regional labor market outcome is regressed on a weighted average of observed sectoral shocks, using the regional sector shares as weights.
Revised: Since Bartik (1991), it has become popular in empirical studies to estimate regressions in which the variable of interest is a shift-share , such as when a regional outcome is regressed on a weighted average of observed sectoral shocks, using the regional sector shares as weights.
Edit intent: clarity
Original: Since Bartik (1991), it has become popular in empirical studies to estimate regressions in which the variable of interest is a shift-share  , such as when a regional labor market outcome is regressed on a weighted average of observed sectoral shocks, using the regional sector shares as weights.
Revised: Since Bartik (1991), it has become popular in empirical studies to estimate regressions in which the variable of interest is a shift-share , such as when a regional labor market outcome is regressed on a weighted average of observed sectoral shocks, using regional sector shares as weights.
Edit intent: fluency
Original:  In this paper, we discuss inference in these regressions. We show that standard economic models imply that the regression residuals are likely to be correlated across regions with similar sector shares, independently of their geographic location. These correlations are ignored by inference procedures commonly used in these regressions, which can lead to severe undercoverage. In regressions studying the effect of randomly generated placebo sectoral shocks on actual labor market outcomes in U.S. commuting zones, we find that a 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Revised:  We conduct a placebo exercise in which we estimate the effect of randomly generated placebo sectoral shocks on actual labor market outcomes in U.S. commuting zones, we find that a 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Edit intent: clarity
Original:  In regressions studying the effect of randomly generated placebo sectoral shocks on actual labor market outcomes in U.S. commuting zones, we find that a 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Revised:  In regressions studying the effect of a shift-share regressor constructed with randomly generated sectoral shocks on actual labor market outcomes in U.S. commuting zones, we find that a 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Edit intent: meaning-changed
Original:  In regressions studying the effect of randomly generated placebo sectoral shocks on actual labor market outcomes in U.S. commuting zones, we find that a 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Revised:  In regressions studying the effect of randomly generated placebo sectoral shocks on actual labor market outcomes across U.S. commuting zones, we find that a 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Edit intent: clarity
Original:  In regressions studying the effect of randomly generated placebo sectoral shocks on actual labor market outcomes in U.S. commuting zones, we find that a 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Revised:  In regressions studying the effect of randomly generated placebo sectoral shocks on actual labor market outcomes in U.S. Commuting Zones. Tests based on commonly used standard errors with 5 \% level significance test based on standard errors clustered at the state level rejects the null of no effect in up to 45 \% of the placebo interventions.
Edit intent: meaning-changed