wanyu/IteraTeR_full_sent huggingface dataset:
Original:  We modify this model using Capital Asset Pricing Model : The market exposure depends on the rank, and the benchmark moves as a general L\'evy process. We show that this model fits real market data. We discuss stability and long-term convergence .
Revised:  We modify this model using Capital Asset Pricing Model for size deciles from Center for Research in Securities Prices database, and construct a related continuous-time model for Stochastic Portfolio Theory with rank-based Levy particles. We regress equity premia for size deciles over the equity premium for the top decile, and modify the model for continuous time. We simulate the resulting capital distribution curve .
Edit intent: meaning-changed
Original:  As long as attention costs are not too low, there is an interval of prior means over which it is an equilibrium for both senders to offer full information , which interval expands as attention costs grow .
Revised:  As long as attention costs are not too low, there is an interval of prior means over which it is an equilibrium for the senders to provide the receiver's first best level of information - i.e. as much as she would learn if she herself controlled information provision .
Edit intent: meaning-changed
Original:  Information on one sender substitutes for information on the other, which allows the receiver to nullify the profitability of a deviation. We thus provide a novel channel through which competition  encourages information disclosure.
Revised:  Information on one sender substitutes for information on the other, which allows the receiver to nullify the profitability of a unilateral provision of less information. Thus, we provide a novel channel through which competition encourages information disclosure.
Edit intent: meaning-changed
Original: Population Dynamics (PD) is a long standing research field in biology, mathematical physics and statistical mechanics. PD deals with changes in size, density and structure of one or more populations over time. In realistic settings, for population living in a fluid environment, it is largely unknown, both theoretically and experimentally, how the phenomenology of Population Dynamics is changed by the presence of turbulence.
Revised: Marine species reproduce and compete while being advected by turbulent flows. It is largely unknown, both theoretically and experimentally, how the phenomenology of Population Dynamics is changed by the presence of turbulence.
Edit intent: meaning-changed
Original:  In realistic settings, for population living in a fluid environment, it is largely unknown, both theoretically and experimentally, how the phenomenology of Population Dynamics is changed by the presence of turbulence. Effective compressibility can arise, for example, from the convergence and divergence of water masses at which passively URLanisms are restricted to live. The flow can significantly diminish the effect of selective advantage on fixation probabilities. Selective advantage means the ability of one species to growth faster than others. However, because of number fluctuations a relatively small selective advantage may not be successful since the characteristic time scale is much smaller than the one associated to turbulent effects. This project, focus on the enhancement or inhibition of selective advantage in PD subject to advection of compressible turbulence.
Revised:  In realistic settings, for population living in a fluid environment, it is largely unknown, both theoretically and experimentally, how the phenomenology of Population Dynamics is changed by the presence of fluid flows. Discrete agent-based simulations in continuous space allow for accurate treatment of advection and number fluctuations, but can be computationally expensive for even URLanism densities. In this report, we propose a new algorithm to overcome some of these challenges. We first provide a thorough validation of the algorithm in one and two dimensions without flow. Next, we focus on the enhancement or inhibition of selective advantage in PD subject to advection of compressible turbulence.
Edit intent: meaning-changed
Original:  This project, focus on the enhancement or inhibition of selective advantage in PD subject to advection of compressible turbulence. We find that in presence of weak flows compared to the no-flow case, on URLanisms born at sources acquiring a significant advantage .
Revised:  This project, focus on the case of weakly compressible flows in two dimensions. This URLanisms such as phytoplankton living at a specific depth in the three-dimensional, incompressible ocean experiencing upwelling and/or downwelling events. We show URLanisms born at sources acquiring a significant advantage .
Edit intent: meaning-changed
Original: I revisit two theories of cell differentiation in URLanisms published a half-century ago, Stuart Kauffman's global gene regulatory dynamics ( GRGD ) model and Roy Britten's and Eric Davidson's modular gene regulatory network (MGRN) model, in light of newer knowledge of mechanisms of gene regulation in the metazoans (animals).
Revised: I revisit two theories of cell differentiation in URLanisms published a half-century ago, Stuart Kauffman's global gene regulatory dynamics ( GGRD ) model and Roy Britten's and Eric Davidson's modular gene regulatory network (MGRN) model, in light of newer knowledge of mechanisms of gene regulation in the metazoans (animals).
Edit intent: fluency
Original:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters  . Finally, we show how we can use a coherent feedforward loop  to approximately compute this log-likelihood ratio.
Revised:  We then show that, under certain conditions, this log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters . Finally, we show how we can use a coherent feedforward loop to approximately compute this log-likelihood ratio.
Edit intent: clarity
Original:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters  . Finally, we show how we can use a coherent feedforward loop  to approximately compute this log-likelihood ratio.
Revised:  We then show that, if the input is persistent, then the positive part of the log-likelihood can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters . Finally, we show how we can use a coherent feedforward loop to approximately compute this log-likelihood ratio.
Edit intent: fluency
Original:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters  . Finally, we show how we can use a coherent feedforward loop  to approximately compute this log-likelihood ratio.
Revised:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters when the input is persistent . Finally, we show how we can use a coherent feedforward loop to approximately compute this log-likelihood ratio.
Edit intent: clarity
Original:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters  . Finally, we show how we can use a coherent feedforward loop  to approximately compute this log-likelihood ratio.
Revised:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters . Finally, we show that the the coherent feedforward loop to approximately compute this log-likelihood ratio.
Edit intent: coherence
Original:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters  . Finally, we show how we can use a coherent feedforward loop  to approximately compute this log-likelihood ratio.
Revised:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters . Finally, we show how we can use a coherent feedforward loop can be used to approximately compute this log-likelihood ratio.
Edit intent: clarity
Original:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters  . Finally, we show how we can use a coherent feedforward loop  to approximately compute this log-likelihood ratio.
Revised:  We then show that, if the input is persistent, then the positive part of the log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters . Finally, we show how we can use a coherent feedforward loop to approximately compute the mean log-likelihood ratio.
Edit intent: clarity
Original:  We then show that, under certain conditions, this log-likelihood can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters when the input is persistent.
Revised:  We then show , under time-scale separation and other assumptions, that this log-likelihood can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters when the input is persistent.
Edit intent: meaning-changed
Original: Living cells need to distinguish persistent signals from transient ones. Given that the cellular environment is stochastic, it is necessary to understand how cells make decision from a stochastic point of view. However, there isfew work on studying persistence detection, in the context of cell signalling, from a stochastic signal point of view. This paper aims to address this gap. This paper considers a persistence detection problem defined over a reaction pathway consisting of three species: an inducer, a transcription factor (TF) and a gene, where the inducer can activate the TF and an active TF can bind to the gene promoter.
Revised: Given that biochemical circuits can process information by using analog computation, a question is: What can biochemical circuits compute? This paper considers the problem of using biochemical circuits to distinguish persistent signals from transient ones. We define a statistical detection problem over a reaction pathway consisting of three species: an inducer, a transcription factor (TF) and a gene, where the inducer can activate the TF and an active TF can bind to the gene promoter.
Edit intent: meaning-changed
Original:  We define a statistical detection problem over a reaction pathway consisting of three species: an inducer, a transcription factor (TF) and a gene  , where the inducer can activate the TF and an active TF can bind to the gene promoter.
Revised:  We define a statistical detection problem over a reaction pathway consisting of three species: an inducer, a transcription factor (TF) and a gene promoter , where the inducer can activate the TF and an active TF can bind to the gene promoter.
Edit intent: fluency
Original:  We then show, under time-scale separation and other assumptions, that this log-likelihood  can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters when the input is persistent.
Revised:  We then show, using time-scale separation and other assumptions, that this log-likelihood can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters when the input is persistent.
Edit intent: clarity
Original:  We then show, under time-scale separation and other assumptions, that this log-likelihood  can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters when the input is persistent.
Revised:  We then show, under time-scale separation and other assumptions, that this log-likelihood ratio can be approximately computed by using the continuous-time signals of the number of active TF molecules and the number of bound promoters when the input is persistent.
Edit intent: clarity
Original: Outcomes of propagating pulse collisions are of fundamental importance in many fields , ranging from physiology to industrial devices. Pulses are traditionally classified as solitons if upon collision they behave as particles, or excitable-pulses if they annihilate each other. Collisions in a non-equilibrium system with mass conservation, a common property of natural systems, exhibit rich dynamics that range from soliton-like to annihilation, and even nucleation of new pulses post-collision.
Revised: Outcomes of propagating pulse collisions are of fundamental importance in many fields , ranging from biological cells to chemical reactions and ecological populations. Traditionally, mutual annihilation of two colliding pulses is regarded as their prototypical signature. Here we show that colliding excitable pulses may exhibit soliton-like to annihilation, and even nucleation of new pulses post-collision.
Edit intent: clarity
Original:  Collisions in a non-equilibrium system with mass conservation, a common property of natural systems, exhibit rich dynamics that range from soliton-like to annihilation, and even nucleation of new pulses post-collision. Mass-conservation is shown to be a key ingredient for this behavior to occur robustly over a wide range of parameters.
Revised:  Collisions in a non-equilibrium system with mass conservation, a common property of natural systems, exhibit rich dynamics that range from soliton-like crossover and pulse nucleation if the system obeys a mass conservation constraint. In contrast to previous observations in systems without mass conservation, these alternative collision scenarios are robustly observed over a wide range of parameters.
Edit intent: clarity
Original:  As such, collisions can be considered URLanizing centers, for example, in intracellular actin waves .
Revised:  We exemplify our findings based on a model of intracellular actin waves. As biological cells are inherently mass-conserved systems, our results provide a key concept to understand the ubiquitous occurrence of actin waves in cells, explaining why they are so common, and why their dynamics is robust and long-lived .
Edit intent: coherence
Original:  We exemplify our findings based on a model of intracellular actin waves . As biological cells are inherently mass-conserved systems, our results provide a key concept to understand the ubiquitous occurrence of actin waves in cells, explaining why they are so common, and why their dynamics is robust and long-lived.
Revised:  We exemplify our findings based on a model of intracellular actin waves since, on time scales of wave propagations over the cell scale, cells obey the conservation of actin monomers. The results provide a key concept to understand the ubiquitous occurrence of actin waves in cells, explaining why they are so common, and why their dynamics is robust and long-lived.
Edit intent: meaning-changed
Original:  As biological cells are inherently mass-conserved systems, our results provide a key concept to understand the ubiquitous occurrence of actin waves in cells, explaining why they are so common, and why their dynamics is robust and long-lived.
Revised:  As biological cells are inherently mass-conserved systems, our results provide a key concept to understand the ubiquitous occurrence of actin waves in cells, suggesting why they are so common, and why their dynamics is robust and long-lived.
Edit intent: clarity
Original:  With this method, we furthermore investigate the molecular basis determining unbinding rates, correlating simulations with experimental data from SPR kinetics measurements and X-ray crystallography on two small molecule compound libraries bound to the N-terminal domain of the chaperone Hsp90 . Within the investigated libraries, we find ligand conformational changes and protein-ligand nonbonded interactions as discriminators for unbinding rates.
Revised:  Correlating simulations with experimental data from SPR kinetics measurements and X-ray crystallography on two small molecule compound libraries bound to the N-terminal domain of the chaperone Hsp90 . Within the investigated libraries, we find ligand conformational changes and protein-ligand nonbonded interactions as discriminators for unbinding rates.
Edit intent: coherence
Original:  With this method, we furthermore investigate the molecular basis determining unbinding rates, correlating simulations with experimental data from SPR kinetics measurements and X-ray crystallography on two small molecule compound libraries bound to the N-terminal domain of the chaperone Hsp90 . Within the investigated libraries, we find ligand conformational changes and protein-ligand nonbonded interactions as discriminators for unbinding rates.
Revised:  With this method, we furthermore investigate the molecular basis determining unbinding rates, correlating simulations with experimental data from SPR kinetics measurements and X-ray crystallography on two small molecule compound libraries bound to the N-terminal domain of the chaperone Hsp90 , we show that the mean non-equilibrium work computed in an ensemble of trajectories of enforced ligand unbinding is a promising predictor for ligand unbinding rates. We furthermore investigate the molecular basis determining unbinding rates within the compound libraries. We propose ligand conformational changes and protein-ligand nonbonded interactions as discriminators for unbinding rates.
Edit intent: meaning-changed
Original:  With this method, we furthermore investigate the molecular basis determining unbinding rates, correlating simulations with experimental data from SPR kinetics measurements and X-ray crystallography on two small molecule compound libraries bound to the N-terminal domain of the chaperone Hsp90 . Within the investigated libraries, we find ligand conformational changes and protein-ligand nonbonded interactions as discriminators for unbinding rates.
Revised:  With this method, we furthermore investigate the molecular basis determining unbinding rates, correlating simulations with experimental data from SPR kinetics measurements and X-ray crystallography on two small molecule compound libraries bound to the N-terminal domain of the chaperone Hsp90 . Within the investigated libraries, we find ligand conformational changes and protein-ligand nonbonded interactions to impact on unbinding rates.
Edit intent: clarity
Original:  Ligands with flexible chemical scaffold may remain longer at the protein target if they need to pass through extended conformations upon unbinding, or if they exhibit strong electrostatic and/or van der Waals interactions with the target.
Revised:  Ligands may remain longer at the protein target if they need to pass through extended conformations upon unbinding, or if they exhibit strong electrostatic and/or van der Waals interactions with the target.
Edit intent: clarity
Original:  For digital jobs, where the objects to be served can be algebraically manipulated, and for servers whose ouput is a linear function of their input, here we consider an alternate strategy: Maximum Distance Separable (MDS) codes.
Revised:  For digital jobs, where the objects to be served can be algebraically manipulated, and for servers whose output is a linear function of their input, here we consider an alternate strategy: Maximum Distance Separable (MDS) codes.
Edit intent: fluency
Original: This paper investigates an equilibrium feedback control for time-inconsistent reward functionals when the state variable follows a Volterra process. As Volterra processes are non-Markovian and non-semimartingale in general , we develop an extended path-dependent Hamilton-Jacobi-Bellman (PHJB) equation system and offer a verification theorem to the solution of the PHJB equation.
Revised: This paper investigates an equilibrium feedback control for time-inconsistent objectives. Under a general framework embracing non-Markovian and non-semimartingale in general , we develop an extended path-dependent Hamilton-Jacobi-Bellman (PHJB) equation system and offer a verification theorem to the solution of the PHJB equation.
Edit intent: clarity
Original:  As Volterra processes are non-Markovian and non-semimartingale in general , we develop an extended path-dependent Hamilton-Jacobi-Bellman (PHJB) equation system and offer a verification theorem to the solution of the PHJB equation.
Revised:  As Volterra processes are non-Markovian and non-semimartingale models , we develop an extended path-dependent Hamilton-Jacobi-Bellman (PHJB) equation system and offer a verification theorem to the solution of the PHJB equation.
Edit intent: clarity
Original:  As Volterra processes are non-Markovian and non-semimartingale in general , we develop an extended path-dependent Hamilton-Jacobi-Bellman (PHJB) equation system and offer a verification theorem to the solution of the PHJB equation. We apply the theory to three time-inconsistent problemswhen the risky asset price follows the Volterra Heston model, a typical rough volatility model. Analytical solutions are derived for the three problems: mean-variance portfolio problem (MVP) with constant risk aversion, MVP with a state-dependent risk aversion , and an investment/consumption problem with non-exponential discounting .
Revised:  As Volterra processes are non-Markovian and non-semimartingale in general , we develop an extended path-dependent Hamilton-Jacobi-Bellman (PHJB) equation system . A verification theorem is provided. By deriving explicit solutions to three problems, including mean-variance portfolio problem (MVP) with constant risk aversion, MVP with a state-dependent risk aversion , and an investment/consumption problem with non-exponential discounting .
Edit intent: clarity
Original:  Analytical solutions are derived for the three problems: mean-variance portfolio problem (MVP) with constant risk aversion, MVP with a state-dependent risk aversion , and an investment/consumption problem with non-exponential discounting .
Revised:  Analytical solutions are derived for the three problems: mean-variance portfolio problem (MVP) with constant risk aversion, MVP for log-returns , and an investment/consumption problem with non-exponential discounting .
Edit intent: meaning-changed
Original:  Analytical solutions are derived for the three problems: mean-variance portfolio problem (MVP) with constant risk aversion, MVP with a state-dependent risk aversion , and an investment/consumption problem with non-exponential discounting . Through these examples, we address the effects of roughness on equilibrium strategies .
Revised:  Analytical solutions are derived for the three problems: mean-variance portfolio problem (MVP) with constant risk aversion, MVP with a state-dependent risk aversion , and an investment/consumption problem with non-exponential discounting , we present that volatility roughness adjusts the equilibrium strategies considerably, up to 40\% in certain settings. Since rough volatility models capture the near-term downside risk by fitting the volatility skews, we interpret the adjustments as a hedge for this risk .
Edit intent: meaning-changed