wanyu/IteraTeR_full_sent huggingface dataset:
Original:  503 (1993)%DIFDELCMD < ]%%% . In combination with reaction fluxes , they can be used to decorate the metabolic model with a yield flux network. The yield flux network shows a kind of gauge invariance with respect to rescaling of the stoichiometric matrix, and is arguably more fundamental than either the reaction fluxes or shadow prices. Complementary slackness implies that the yield flux network also satisfies a conservation law, which can be used to explain why the shadow prices are strongly correlated with measures of molecular complexity such as molecular weight and atom count.
Revised:  503 (1993)%DIFDELCMD < ]%%% A metabolic model can be represented as bipartite graph comprising linked reaction and metabolite nodes. Here it is shown how a network of conserved fluxes can be assigned to the yield flux network also satisfies a conservation law, which can be used to explain why the shadow prices are strongly correlated with measures of molecular complexity such as molecular weight and atom count.
Edit intent: clarity
Original:  Complementary slackness implies that the yield flux network also satisfies a conservation law, which can be used to explain why the shadow prices are strongly correlated with measures of molecular complexity such as molecular weight and atom count. For the genome-scale models , the shadow prices have a broad distribution and the overall pattern reflects the URLanisation of the metabolism .
Revised:  Complementary slackness implies that the edges of such a graph by combining the reaction fluxes with a conserved metabolite property such as molecular weight. A similar flux network can be constructed by combining the primal and dual solutions to the linear programming problem that typically arises in constraint-based modelling. Such constructions may help with the visualisation of flux distributions in complex metabolic networks. The analysis also explains the strong correlation observed between metabolite shadow prices (the dual linear programming variables) and conserved metabolite properties. The methods were applied to recent metabolic models for Escherichia coli, Saccharomyces cerevisiae, and Methanosarcina barkeri. Detailed results are reported for E. coli; similar results were found for the URLanisms .
Edit intent: meaning-changed
Original: The universal scalability law (USL) of computational capacity is a rational function C_p = P(p)/Q(p) with P(p) a linear polynomial and Q(p) a second-degree polynomial in the number of physical processors p, that has long been used for statistical modeling and prediction of computer system performance.
Revised: The universal scalability law of computational capacity is a rational function C_p = P(p)/Q(p) with P(p) a linear polynomial and Q(p) a second-degree polynomial in the number of physical processors p, that has long been used for statistical modeling and prediction of computer system performance.
Edit intent: clarity
Original: The universal scalability law (USL) of computational capacity is a rational function C_p = P(p)/Q(p) with P(p) a linear polynomial and Q(p) a second-degree polynomial in the number of physical processors p, that has long been used for statistical modeling and prediction of computer system performance.
Revised: The universal scalability law (USL) of computational capacity is a rational function C_p = P(p)/Q(p) with P(p) a linear polynomial and Q(p) a second-degree polynomial in the number of physical processors p, that has been long used for statistical modeling and prediction of computer system performance.
Edit intent: fluency
Original: By analyzing ] financial time series of exceptional events such as bubbles and crashes, we confirm the existence of nonlinear potential forces in the markets.
Revised: Basic peculiarities of market price fluctuations are known to be well described by a recently developed random walk model in a temporally deforming quadric potential force whose center is given by a moving average of past price traces ] financial time series of exceptional events such as bubbles and crashes, we confirm the existence of nonlinear potential forces in the markets.
Edit intent: meaning-changed
Original: We construct an estimation and de-noising procedure for an input signal perturbed by a continuous-time Gaussian noise, using the local and occupation times of Gaussian processes. The method relies on the almost-sure minimization of a Stein Unbiased Risk Estimator (SURE ) obtained through integration by parts on Gaussian space, and applied to shrinkage estimators which are constructed by soft and hard thresholding .
Revised: We construct an estimation and de-noising procedure for an input signal perturbed by a continuous-time Gaussian noise, using the local and occupation times . By almost-sure minimization of a Stein Unbiased Risk Estimator (SURE ) obtained through integration by parts on Gaussian space, and applied to shrinkage estimators which are constructed by soft and hard thresholding .
Edit intent: clarity
Original:  The method relies on the almost-sure minimization of a Stein Unbiased Risk Estimator (SURE ) obtained through integration by parts on Gaussian space, and applied to shrinkage estimators which are constructed by soft and hard thresholding .
Revised:  The method relies on the almost-sure minimization of the SURE risk of shrinkage estimators we derive an estimation and de-noising procedure for an input signal perturbed by a continuous-time Gaussian noise .
Edit intent: clarity
Original:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give  an overview of some properties of affine processes and explain their relation to affine term structure models.
Revised:  The aim of this article is to present both theoretical foundations as well as empirical aspects of the affine model class . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give an overview of some properties of affine processes and explain their relation to affine term structure models.
Edit intent: meaning-changed
Original:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give  an overview of some properties of affine processes and explain their relation to affine term structure models.
Revised:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the original one-factor short-rate models of Vasicek and the Cox-Ingersoll-Ross ones, we then give an overview of some properties of affine processes and explain their relation to affine term structure models.
Edit intent: meaning-changed
Original:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give  an overview of some properties of affine processes and explain their relation to affine term structure models.
Revised:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and Cox an overview of some properties of affine processes and explain their relation to affine term structure models.
Edit intent: coherence
Original:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give  an overview of some properties of affine processes and explain their relation to affine term structure models.
Revised:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then giveet al, an overview of some properties of affine processes and explain their relation to affine term structure models.
Edit intent: meaning-changed
Original:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give  an overview of some properties of affine processes and explain their relation to affine term structure models.
Revised:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give we provide an overview of some properties of affine processes and explain their relation to affine term structure models.
Edit intent: meaning-changed
Original:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give  an overview of some properties of affine processes and explain their relation to affine term structure models.
Revised:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give an overview of the properties of regular affine processes and explain their relation to affine term structure models.
Edit intent: meaning-changed
Original:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give  an overview of some properties of affine processes and explain their relation to affine term structure models.
Revised:  The aim of this article is to present both , theoretical foundations and empirical aspects . Starting from the first short rate models , namely the Vasicek and the Cox-Ingersoll-Ross ones, we then give an overview of some properties of affine processes and explain their relationship to affine term structure models.
Edit intent: fluency
Original: We discuss the valuation problem for a broad spectrum of plain vanilla and path-dependent options in a general modeling framework, and specifically for L\'evy driven models. Among the derivatives which we consider are digitals, double digitals, asset-or-nothing options, self-quantos, lookback and one-touch options. Extensions to the multivariate case, i.e. basket options and options on the minimum or maximum of several assets are considered as well.
Revised: We discuss the valuation problem for a broad spectrum of plain vanilla and path-dependent options in a general framework; i.e. basket options and options on the minimum or maximum of several assets are considered as well.
Edit intent: coherence
Original:  Extensions to the multivariate case, i.e. basket options and options on the minimum or maximum of several assets are considered as well. As a link to credit risk we derive a valuation formula for equity default swaps. The key idea of this Fourier, resp. Laplace transform based approach is the clear separation of two ingredients, namely the payoff function and the underlying process .
Revised:  Extensions to the multivariate case, i.e. when the option has an arbitrary payoff function and depends on the path of the asset price process. An interplay between the conditions on the payoff function and the underlying process .
Edit intent: meaning-changed
Original:  Laplace transform based approach is the clear separation of two ingredients, namely the payoff function and the underlying process . The latter can be the driving process itself, but also the supremum or infimum or another process derived from it. For L\'evy processes the analytically extended characteristic functions of the supremum and the infimum process are derived .
Revised:  Laplace transform based approach is the clear separation of two ingredients, namely the payoff function and the process arises naturally. We also extend these results to the multi-dimensional case, and discuss the calculation of Greeks by Fourier transform methods. As an application, we price options on the minimum of two assets in L\'evy and stochastic volatility models .
Edit intent: meaning-changed
Original:  More importantly, the model fits experimental data on how the transduction of a polyarginine-fluorophore into mouse C2C12 myoblasts depends on the number of arginines in the CPP and on the CPP concentration  .
Revised:  More importantly, it fits experimental data on how the transduction of a polyarginine-fluorophore into mouse C2C12 myoblasts depends on the number of arginines in the CPP and on the CPP concentration .
Edit intent: clarity
Original:  More importantly, the model fits experimental data on how the transduction of a polyarginine-fluorophore into mouse C2C12 myoblasts depends on the number of arginines in the CPP and on the CPP concentration  .
Revised:  More importantly, the model fits experimental data on how the transduction of a polyarginine-fluorophore into mouse C2C12 myoblasts depends on the number of arginines in the CPP and on the CPP concentration . The model makes two testable predictions .
Edit intent: meaning-changed
Original: Certain short polycations, such as TAT and polyarginine, rapidly pass through the plasma membranes of mammalian cells by an unknown mechanism called transduction  .
Revised: Certain short polycations, such as TAT and polyarginine, rapidly pass through the plasma membranes of mammalian cells by an unknown mechanism called transduction as well as by endocytosis and macropinocytosis .
Edit intent: meaning-changed
Original:  The model is consistent with the empirical upper limit on the cargo peptide of about 50 amino acids . More importantly, it fits experimental data on how the transduction of a polyarginine-fluorophore into mouse C2C12 myoblasts depends on the number of arginines in the CPP and on the CPP concentration.
Revised:  The model is consistent with the empirical upper limit on the cargo peptide of 40--60 amino acids and with experimental data on how the transduction of a polyarginine-fluorophore into mouse C2C12 myoblasts depends on the number of arginines in the CPP and on the CPP concentration.
Edit intent: meaning-changed
Original:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because  purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Revised:  Comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Edit intent: clarity
Original:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because  purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Revised:  It is likely that comparison and alignment of biological networks will likely have a similar impact . Existing network alignments are based largely upon information external to the networks, such as sequence, because purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Edit intent: clarity
Original:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because  purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Revised:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments use information external to the networks, such as sequence, because purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Edit intent: clarity
Original:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because  purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Revised:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because no good algorithm for purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Edit intent: meaning-changed
Original:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because  purely topological alignment of large, noisy networks is a theoretically challenging problem that has yet to be solved .
Revised:  It is likely that comparison and alignment of biological networks will similarly revolutionize our understanding of biological systems . Existing network alignments are based largely upon information external to the networks, such as sequence, because purely topological alignment has yet been devised .
Edit intent: clarity
Original:  In this paper, we present the first alignments of large networks based solely upon detailed network topology, and demonstrate that both species phylogeny (the ``tree of life'') and detailed biological function of individual proteins can be extracted from topological comparisons of biological networks.
Revised:  In this paper, we present by far the most complete topological alignments of biological networks to date. We demonstrate that both species phylogeny (the ``tree of life'') and detailed biological function of individual proteins can be extracted from topological comparisons of biological networks.
Edit intent: clarity
Original:  In this paper, we present the first alignments of large networks based solely upon detailed network topology, and demonstrate that both species phylogeny (the ``tree of life'') and detailed biological function of individual proteins can be extracted from topological comparisons of biological networks.
Revised:  In this paper, we present the first alignments of large networks based solely upon detailed network topology, and demonstrate that both species phylogeny and detailed biological function of individual proteins can be extracted from topological comparisons of biological networks.
Edit intent: clarity
Original:  In this paper, we present the first alignments of large networks based solely upon detailed network topology, and demonstrate that both species phylogeny (the ``tree of life'') and detailed biological function of individual proteins can be extracted from topological comparisons of biological networks. Our phylogenetic trees provide a new and independent source of phylogenetic information.
Revised:  In this paper, we present the first alignments of large networks based solely upon detailed network topology, and demonstrate that both species phylogeny (the ``tree of life'') and detailed biological function of individual proteins can be extracted from a solely topological comparison of networks. Topological alignments provide an independent new source of phylogenetic information.
Edit intent: clarity
Original:  Our alignments are large, dense, and contiguous, suggesting functional predictions of hundreds of currently unannotated proteins. Finally, our alignment of the protein-protein interaction network of two very different species--yeast and human--indicate that even distant species share a surprising amount of network topology with each other, suggesting that there may be broad similarities in internal cellular wiring across all life on Earth.
Revised:  Our alignment of the protein-protein interaction network of two very different species--yeast and human--indicate that even distant species share a surprising amount of network topology with each other, suggesting that there may be broad similarities in internal cellular wiring across all life on Earth.
Edit intent: clarity
Original:  Finally, our alignment of the protein-protein interaction network of two very different species--yeast and human--indicate that even distant species share a surprising amount of network topology with each other, suggesting that there may be broad similarities in internal cellular wiring across all life on Earth.
Revised:  Finally, our alignment of the protein-protein interaction networks of two very different species--yeast and human--indicate that even distant species share a surprising amount of network topology with each other, suggesting that there may be broad similarities in internal cellular wiring across all life on Earth.
Edit intent: fluency
Original:  Finally, our alignment of the protein-protein interaction network of two very different species--yeast and human--indicate that even distant species share a surprising amount of network topology with each other, suggesting that there may be broad similarities in internal cellular wiring across all life on Earth.
Revised:  Finally, our alignment of the protein-protein interaction network of two very different species--yeast and human--indicate that even distant species share a surprising amount of network topology with each other, suggesting broad similarities in internal cellular wiring across all life on Earth.
Edit intent: clarity
Original:  We demonstrate that both species phylogeny and detailed biological function of individual proteins can be extracted from a solely topological comparison of networks. Topological alignments provide an independent new source of phylogenetic information.
Revised:  We demonstrate that both species phylogeny and detailed biological function of individual proteins can be extracted from our alignments. Topology-based alignments have the potential to provide a completely new, independent source of phylogenetic information.
Edit intent: clarity
Original: It turns out that a slightly generalised Margrabe formula exhibits symmetry properties leading to semi-static hedges of rather general options in the bivariate Black-Scholes economy .
Revised: It turns out that a slightly generalised Margrabe formula exhibits symmetry properties leading to semi-static hedges of rather general barrier options. Some of the results are extended to variants obtained by means of Brownian subordination .
Edit intent: meaning-changed
Original:  In order to increase the liquidity of the used hedging instruments for  currency options, the duality principle can be used to set up the hedges in a foreign market by using only European vanilla options sometimes along with a risk-less bond.
Revised:  In order to increase the liquidity of the hedging instruments for currency options, the duality principle can be used to set up the hedges in a foreign market by using only European vanilla options sometimes along with a risk-less bond.
Edit intent: clarity