wanyu/IteraTeR_full_sent huggingface dataset:
Original:  The optimal exercise region of each right (except the last) of the swing option that we consider is characterised in terms of two boundaries which are continuous functions of time and uniquely solve a system of coupled integral equations of Volterra-type.
Revised:  The optimal exercise region of each right (except the last) is described in terms of two boundaries which are continuous functions of time and uniquely solve a system of coupled integral equations of Volterra-type.
Edit intent: clarity
Original: We use probabilistic methods to characterise the optimal exercise region of a swing option with put payoff , n%DIFDELCMD < \ge %%% 2 exercise rights and finite maturity, when the underlying asset's dynamics is specified according to the Black Scholes model .
Revised: We use probabilistic methods to characterise %DIFDELCMD < \ge %%% 2 exercise rights and finite maturity, when the underlying asset's dynamics is specified according to the Black Scholes model .
Edit intent: clarity
Original: We use probabilistic methods to characterise the optimal exercise region of a swing option with put payoff , n%DIFDELCMD < \ge %%% 2 exercise rights and finite maturity, when the underlying asset's dynamics is specified according to the Black Scholes model .
Revised: We use probabilistic methods to characterise the optimal exercise region of a swing option with put payoff , n%DIFDELCMD < \ge %%% Scholes model .
Edit intent: coherence
Original: We use probabilistic methods to characterise the optimal exercise region of a swing option with put payoff , n%DIFDELCMD < \ge %%% 2 exercise rights and finite maturity, when the underlying asset's dynamics is specified according to the Black Scholes model .
Revised: We use probabilistic methods to characterise the optimal exercise region of a swing option with put payoff , n%DIFDELCMD < \ge %%% 2 exercise rights and finite maturity, when the underlying asset's dynamics is specified according to the Black time dependent optimal stopping boundaries in a problem of multiple optimal stopping on a finite time horizon. Motivated by financial applications we consider a payoff of immediate stopping of "put" type and the underlying dynamics follows a geometric Brownian motion .
Edit intent: meaning-changed
Original:  The optimal exercise region of each right (except the last) is described in terms of two boundaries which are continuous  functions of time and uniquely solve a system of coupled integral equations of Volterra-type.
Revised:  The optimal exercise region of each right (except the last) is described in terms of two boundaries which are continuous , monotonic functions of time and uniquely solve a system of coupled integral equations of Volterra-type.
Edit intent: meaning-changed
Original:  The structural variations among four kinds of conformations of the  transporter GLUT1 (ligand free occluded, outward open, ligand bound occluded , and inward open) are looked as the quantum transition.
Revised:  The structural variations among four kinds of conformations of the human glucose transporter GLUT1 (ligand free occluded, outward open, ligand bound occluded , and inward open) are looked as the quantum transition.
Edit intent: meaning-changed
Original:  The structural variations among four kinds of conformations of the  transporter GLUT1 (ligand free occluded, outward open, ligand bound occluded , and inward open) are looked as the quantum transition.
Revised:  The structural variations among four kinds of conformations of the transporter GLUT1 (ligand free occluded, outward open, ligand bound occluded and inward open) are looked as the quantum transition.
Edit intent: fluency
Original: This paper builds upon the fundamental paper by \mbox{%DIFAUXCMD niwa2009 ] provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free standardized microenvironment.
Revised: This paper builds upon the fundamental work of Niwa et al. ] provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free standardized microenvironment.
Edit intent: clarity
Original: This paper builds upon the fundamental paper by \mbox{%DIFAUXCMD niwa2009 ] provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free standardized microenvironment.
Revised: This paper builds upon the fundamental paper by \mbox{%DIFAUXCMD niwa2009 34] provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free standardized microenvironment.
Edit intent: meaning-changed
Original: This paper builds upon the fundamental paper by \mbox{%DIFAUXCMD niwa2009 ] provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free standardized microenvironment.
Revised: This paper builds upon the fundamental paper by \mbox{%DIFAUXCMD niwa2009 ], which provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free standardized microenvironment.
Edit intent: coherence
Original:  The hardness of the problem comes from the superposition between the driving forces of intra- and inter-molecule interactions and it is mirrored by the evidences of shift from folding to aggregation phenotypes by single-point mutations \mbox{%DIFAUXCMD doi:10.1021/ja1116233  state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs  .
Revised:  The hardness of the problem comes from the superposition between the driving forces of intra- and inter-molecule interactions and it is mirrored by the evidences of shift from folding to aggregation phenotypes by single-point mutations 10 state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs .
Edit intent: coherence
Original: 10.1021/ja1116233  state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs  .
Revised: 10.1021/ja1116233 . Here we apply several state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs .
Edit intent: meaning-changed
Original: 10.1021/ja1116233  state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs  .
Revised: 10.1021/ja1116233 state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins gathered from the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs .
Edit intent: clarity
Original: 10.1021/ja1116233  state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs  .
Revised: 10.1021/ja1116233 state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base ; such representations include sequences and labeled (contact) graphs .
Edit intent: clarity
Original: 10.1021/ja1116233  state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs  .
Revised: 10.1021/ja1116233 state-of-the-art classification methods coming from the field of structural pattern recognition, with the aim to compare different representations of the same proteins of the Niwa et al. data base , going from pure sequence to chemico-physical labeled (contact) graphs enriched with chemico-physical attributes .
Edit intent: meaning-changed
Original:  By this comparison, we are able to identify  some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli  data.
Revised:  By this comparison, we are able to identify also some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli data.
Edit intent: coherence
Original:  By this comparison, we are able to identify  some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli  data.
Revised:  By this comparison, we are able to identify some interesting general properties of proteins. Notably, (i) we suggest a threshold around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli data.
Edit intent: clarity
Original:  By this comparison, we are able to identify  some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli  data.
Revised:  By this comparison, we are able to identify some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli data.
Edit intent: fluency
Original:  By this comparison, we are able to identify  some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli  data.
Revised:  By this comparison, we are able to identify some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " hardly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli data.
Edit intent: fluency
Original:  By this comparison, we are able to identify  some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli  data.
Revised:  By this comparison, we are able to identify some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent experiments, and (ii) we highlight the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli data.
Edit intent: clarity
Original:  By this comparison, we are able to identify  some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli  data.
Revised:  By this comparison, we are able to identify some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graph spectra for folding behavior discrimination and characterization of the E. coli data.
Edit intent: meaning-changed
Original:  By this comparison, we are able to identify  some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli  data.
Revised:  By this comparison, we are able to identify some interesting general properties of protein universe, going from the confirming of a threshold size around 250 residues ( discriminating "easily foldable" from " difficultly foldable" molecules consistent with other independent data on protein domains architecture) to the relevance of contact graphs eigenvalue ordering for folding behavior discrimination and characterization of the E. coli solubility data.
Edit intent: clarity
Original: In this paper we focus on pricing of structured products in energy markets using utility indifference pricing approach . In particular, we compute the buyer 's price of such derivatives for an agent investing in the forward market , whose preferences are described by an exponential utility function.
Revised: In this paper we focus on pricing of structured products in energy markets using utility indifference pricing approach in a general incomplete multivariate market model driven by finitely many stochastic factors. The buyer of such contracts is allowed to trade in the forward market , whose preferences are described by an exponential utility function.
Edit intent: meaning-changed
Original:  In particular, we compute the buyer 's price of such derivatives for an agent investing in the forward market , whose preferences are described by an exponential utility function. Such a price is characterized in terms of continuous viscosity solutions of suitable non-linear PDEs.
Revised:  In particular, we compute the buyer 's price of such derivatives for an agent investing in the forward market in order to hedge the risk of his position. We fully characterize the buyer's utility indifference price of a given product in terms of continuous viscosity solutions of suitable non-linear PDEs.
Edit intent: meaning-changed
Original:  Moreover, in a model with two assets and constant correlation , we obtain a representation of the price as the value function of an auxiliary simpler optimization problem under a risk neutral probability, that can be viewed as a perturbation of the minimal entropy martingale measure.
Revised:  Moreover, in a model with two correlated assets, one traded and one nontraded , we obtain a representation of the price as the value function of an auxiliary simpler optimization problem under a risk neutral probability, that can be viewed as a perturbation of the minimal entropy martingale measure.
Edit intent: meaning-changed
Original: We consider the problem of robustly determining the m slowest dynamical modes of a reversible dynamical system, with a particular focus on the analysis of equilibrium molecular dynamics simulations.
Revised: Markov state models (MSMs) are a widely used method for approximating the eigenspectrum of the molecular dynamics propagator, yielding insight into the long-timescale statistical kinetics and slow dynamical modes of a reversible dynamical system, with a particular focus on the analysis of equilibrium molecular dynamics simulations.
Edit intent: meaning-changed
Original: We consider the problem of robustly determining the m slowest dynamical modes of a reversible dynamical system, with a particular focus on the analysis of equilibrium molecular dynamics simulations. We show that the problem can be formulated as the variational optimization of a single scalar functional , a generalized matrix Rayleigh quotient (GMRQ), which measures the ability of a rank-m projection operator to capture the slow dynamics of the system.
Revised: We consider the problem of robustly determining the m slowest dynamical modes of biomolecular systems. However, the lack of a unified theoretical framework for choosing between alternative models has hampered progress, especially for non-experts applying these methods to novel biological systems. Here, we consider cross-validation with a new objective function for estimators of these slow dynamical modes , a generalized matrix Rayleigh quotient (GMRQ), which measures the ability of a rank-m projection operator to capture the slow dynamics of the system.
Edit intent: clarity
Original:  We show that the problem can be formulated as the variational optimization of a single scalar functional , a generalized matrix Rayleigh quotient (GMRQ), which measures the ability of a rank-m projection operator to capture the slow dynamics of the system.
Revised:  We show that the problem can be formulated as the variational optimization of a single scalar functional , a generalized matrix Rayleigh quotient (GMRQ), which measures the ability of a rank-m projection operator to capture the slow subspace of the system.
Edit intent: clarity
Original:  While a variational theorem bounds the GMRQ from above by the sum of the first m eigenvalues of the system's propagator, we show that this bound can be violated when the requisite matrix elements are estimated subject to statistical uncertainty.
Revised:  It is shown that a variational theorem bounds the GMRQ from above by the sum of the first m eigenvalues of the system's propagator, we show that this bound can be violated when the requisite matrix elements are estimated subject to statistical uncertainty.
Edit intent: clarity
Original:  While a variational theorem bounds the GMRQ from above by the sum of the first m eigenvalues of the system's propagator, we show that this bound can be violated when the requisite matrix elements are estimated subject to statistical uncertainty.
Revised:  While a variational theorem bounds the GMRQ from above by the sum of the first m eigenvalues of the system's propagator, but that this bound can be violated when the requisite matrix elements are estimated subject to statistical uncertainty.
Edit intent: coherence
Original:  These result make it possible to , for the first time, construct a unified, consistent objective function for the parameterization of Markov state models for protein dynamics which captures the tradeoff between systematic and statistical errors.
Revised:  These result make it possible to , for the first time, construct a unified, consistent objective function for the parameterization of Markov state models for protein dynamics in a way that appropriately captures the tradeoff between systematic and statistical errors.
Edit intent: clarity
Original:  When the market is diverse and sufficiently volatile, and the benchmark is the market or a buy-and-hold portfolio, functionally generated portfolios  provide a systematic way of constructing relative arbitrages.
Revised:  When the market is diverse and sufficiently volatile, and the benchmark is the market or a buy-and-hold portfolio, functionally generated portfolios introduced by Fernholz provide a systematic way of constructing relative arbitrages.
Edit intent: meaning-changed
Original: The radical pair model for avian magnetoreception has been significantly efficacious in explaining the magnetosensitive behavior of chemical compass . In this model, we have a multi-spin system evolving under a specific Hamiltonian assisted by neurological spin-dependent recombination channels which give an elegant compass action that many species are belived to be using .
Revised: The radical pair model has been successful in explaining behavioral characteristics of the geomagnetic compass believed to underlie the navigation capability of certain avian species .
Edit intent: clarity
Original:  In this study, we analyze the radical pair model form a microscopic spin transitional point of view and establish the role of nuclear and environmental decoherence in radical pair spin dynamics. We identify the spin interplay between singlet state and three triplet states of radical due to Zeeman and hyperfine and examine the distinctive roles of nuclear and environmental decoherence from this perspective.
Revised:  In this study, we analyze the radical pair model form a microscopic spin transitional point of view . This helps to elucidate the interplay between the hyperfine and Zeeman interactions that enables the avian compass, and the distinctive effects of nuclear and environmental decoherence from this perspective.
Edit intent: meaning-changed
Original:  We identify the spin interplay between singlet state and three triplet states of radical due to Zeeman and hyperfine and examine the distinctive roles of nuclear and environmental decoherence from this perspective. Additionally, we revisit some of the earlier results concerning radical pair model from this fresh outlook and provide more comprehensive explanation to those. The approach is aimed to equip us more for solid state emulation of avian compass and design long coherehce time physical systems .
Revised:  We identify the spin interplay between singlet state and three triplet states of radical due to Zeeman and hyperfine and examine the distinctive roles of nuclear and environmental decoherence on it. Using a quantum information theoretic quantifier of coherence, we find that nuclear decoherence induces new structure in the spin dynamics without materially affecting the compass action; environmental decoherence, on the other hand, completely disrupts it .
Edit intent: coherence