wanyu/IteraTeR_full_sent huggingface dataset:
Original:  The time-homogeneous diffusion process in this paper includes the geometric Brownian motion process , the CEV process, the mean-reverting Gaussian process or the Vasicek model, and the mean-reverting square root process or the CIR model. The contributions are to provide rigorous proofs of following facts. The value of an American-style put option increases with an increase in the time-to-maturity and decreases with an increase in the underlying asset index. The early exercise boundary is a strictly decreasing convex functionof the time-to-maturity under the given conditions .
Revised:  The time-homogeneous diffusion process in this paper includes the geometric Brownian motion process . The contribution is to propose a condition for that the early exercise boundary is a strictly decreasing convex functionof the time-to-maturity under the given conditions .
Edit intent: clarity
Original: We present a Bayesian framework for estimating the customer equity (CE ) and the customer lifetime value (CLV ) based on the purchasing behavior deducible from the market surveys .
Revised: We present a Bayesian framework for estimating the customer equity (CE ) and the customer lifetime value (CLV ) based on the purchasing behavior deducible from the market surveys on customer purchasing behavior. The proposed framework systematically addresses the challenges faced when the future value of customers is estimated based on survey data. The scarcity of the survey data and the sampling variance are countered by utilizing the prior information and quantifying the uncertainty of the CE and CLV estimates by posterior distributions. Furthermore, information on the purchase behavior of the customers of competitors available in the survey data is integrated to the framework. The introduced approach is directly applicable in the domains where a customer relationship can be thought to be monogamous.
Edit intent: meaning-changed
Original:  The survey data contains consumer given information on the current and previous brand of the phone and the times of the last two purchases . In contrast to personal purchase histories stored in a customer registry of a company, the survey provides information also on the purchase behavior of the customers of the competitors. The proposed framework systematically takes into account the prior information and the sampling variance of the survey data and by using Bayesian statistics quantifies the uncertainty of the CE and CLV estimates by posterior distributions. The introduced approach is directly applicable in the domains where a customer relationship can be thought to be monogamous .
Revised:  The survey data contains consumer given information on the current and previous brand of the phone and the times of the last two purchases .
Edit intent: coherence
Original:  In particular, we address the problems of determining ergodicity of the reaction dynamics, which is analogous to having a globally attracting fixed point for deterministic dynamics , and determining moment bounds for the underlying stochastic process . Theoretical and computational solutions for these problems are obtained by utilizing a blend of ideas and techniques from probability theory, linear algebra , polynomial analysis and optimization theory.
Revised:  In particular, we address the problems of determining ergodicity of the reaction dynamics, which is analogous to having a globally attracting fixed point for deterministic dynamics . We also examine when the statistical moments of the underlying process remain bounded with time and when they converge to their steady state values. The framework we develop relies on a blend of ideas and techniques from probability theory, linear algebra , polynomial analysis and optimization theory.
Edit intent: clarity
Original:  We illustrate the validity, the efficiency and the universality of our results on several reaction networks arising in fields such as biochemistry, epidemiology and ecology  .
Revised:  We illustrate the validity, the efficiency and the universality of our results on several reaction networks arising in fields such as biochemistry, epidemiology and ecology . The biological implications of the results as well as an example of a non-ergodic biological network are also discussed .
Edit intent: meaning-changed
Original:  The QSA is illustrated with a model of gene expression that displays bistable switching.
Revised:  The process is assumed to be under weak noise conditions, and the case where the deterministic limit is bistable is considered. A general analytical approximation is derived for the stationary probability density and the mean switching time between metastable states, which includes the pre exponential factor. The results are illustrated with a model of gene expression that displays bistable switching.
Edit intent: meaning-changed
Original:  Diffusion approximations are generally known to fail in this regard . It is shown that a diffusion approximation based on a quasi-steady-state reduction (stochastic averaging), which averages the internal state out and reduces the process to a continuous Markov process for the external state, provides unreliable accuracy. On the other hand, the QSA approximation is consistently accurate .
Revised:  Diffusion approximations are generally known to fail in this regard .
Edit intent: coherence
Original: We reinforce the foundations of our quantitative approach to structuring by considering a large class of rational investors. Again, the Bayesian laws of information processing provide us with simple yet powerful tools . Structuring of investment derivatives is summarized as a manufacturing process .
Revised: We reinforce the foundations of our quantitative approach to structuring by considering a large class of investors. Bayesian laws of information processing provide us with simple yet powerful tools . Structuring of investment derivatives is summarized as a manufacturing process .
Edit intent: coherence
Original:  Again, the Bayesian laws of information processing provide us with simple yet powerful tools . Structuring of investment derivatives is summarized as a manufacturing process . This allows for performance, quality and safety to be built into the product at the level of individual production stages -- just as it is done in the established manufacturing industries .
Revised:  Again, the Bayesian laws of information processing provide us with simple yet powerful tools . Structuring of investment derivatives is summarized as a manufacturing process .
Edit intent: coherence
Original: Prion diseases are invariably fatal and highly infectious neurodegenerative diseases that affect a wide variety of mammalian species such as sheep, goats, mice, humans, chimpanzees, hamsters, cattle, elks, deers , minks, cats, chicken, pigs, turtles, etc.
Revised: Prion diseases are invariably fatal and highly infectious neurodegenerative diseases that affect a wide variety of mammalian species such as sheep, goats, mice, humans, chimpanzees, hamsters, cattle, elks, deer , minks, cats, chicken, pigs, turtles, etc.
Edit intent: fluency
Original:  For rabbits, classical studies show they have a low susceptibility to be infected, but in 2012 it was reported that rabbit prion can be generated (though not directly) and the rabbit prion is infectious and transmissible (Proceedings of the National Academy of Sciences USA Volume 109 Issue 13 Pages from 5080 to 5085) .
Revised:  For rabbits, classical studies show they have a low susceptibility to be infected, but in 2012 it was reported that rabbit prion can be generated (though not directly) and the rabbit prion is infectious and transmissible (Proceedings of the National Academy of Sciences USA 109 Issue 13 Pages from 5080 to 5085) .
Edit intent: clarity
Original:  For rabbits, classical studies show they have a low susceptibility to be infected, but in 2012 it was reported that rabbit prion can be generated (though not directly) and the rabbit prion is infectious and transmissible (Proceedings of the National Academy of Sciences USA Volume 109 Issue 13 Pages from 5080 to 5085) .
Revised:  For rabbits, classical studies show they have a low susceptibility to be infected, but in 2012 it was reported that rabbit prion can be generated (though not directly) and the rabbit prion is infectious and transmissible (Proceedings of the National Academy of Sciences USA Volume 109 ( 13 Pages from 5080 to 5085) .
Edit intent: coherence
Original:  For rabbits, classical studies show they have a low susceptibility to be infected, but in 2012 it was reported that rabbit prion can be generated (though not directly) and the rabbit prion is infectious and transmissible (Proceedings of the National Academy of Sciences USA Volume 109 Issue 13 Pages from 5080 to 5085) .
Revised:  For rabbits, classical studies show they have a low susceptibility to be infected, but in 2012 it was reported that rabbit prion can be generated (though not directly) and the rabbit prion is infectious and transmissible (Proceedings of the National Academy of Sciences USA Volume 109 Issue 13 ): 5080-5) .
Edit intent: meaning-changed
Original: The lattice-Boltzmann method (LBM)  is an algorithm for CFD simulations that has gained popularity due to its ease of implementation and suitability for complex geometries.
Revised: Algorithms with low computational intensity show interesting performance and power consumption behavior on multicore processors. We choose the lattice-Boltzmann method (LBM) is an algorithm for CFD simulations that has gained popularity due to its ease of implementation and suitability for complex geometries.
Edit intent: meaning-changed
Original: The lattice-Boltzmann method (LBM)  is an algorithm for CFD simulations that has gained popularity due to its ease of implementation and suitability for complex geometries.
Revised: The lattice-Boltzmann method (LBM) as a prototype for this scenario in order to show if and how single-chip performance and power characteristics can be generalized to the highly parallel case. LBM is an algorithm for CFD simulations that has gained popularity due to its ease of implementation and suitability for complex geometries.
Edit intent: meaning-changed
Original:  Starting from a single-core performance model we can describe the intra-chip saturation characteristics of the implementation and its optimal operating point in terms of energy to solution as a function of the propagation method, the clock frequency, and the SIMD vectorization.
Revised:  Starting from a single-core performance model we can describe the intra-chip saturation characteristics of the code and its optimal operating point in terms of energy to solution as a function of the propagation method, the clock frequency, and the SIMD vectorization.
Edit intent: clarity
Original:  We then show if and how these findings may be extrapolated to the massively parallel level on a petascale-class machine, and quantify the energy-saving potential of various optimizations  .
Revised:  We then show if and how these findings may be extrapolated to the massively parallel level on a petascale-class machine, and quantify the energy-saving potential of various optimizations . We find that high single-core performance and a correct choice of the number of cores used on the chip are the essential factors for lowest energy to solution with minimal loss of performance. In the highly parallel case, these guidelines are found to be even more important for fixing the optimal performance-energy operating point, especially when taking the system's baseline power consumption and the MPI communication characteristics into account. Simplistic measures often applied by users and computing centers, such as setting a low clock speed for memory-bound applications, have limited impact .
Edit intent: meaning-changed
Original:  We present results of a computational study, using the modeling framework of generalized Boolean networks, which explores the role that such network motifs play in stabilizing global dynamics  .
Revised:  We present results of a computational study, using the modeling framework of generalized Boolean networks, which explores the role that such network motifs play in stabilizing global dynamics . The paper introduces a new measure for the stability of stochastic networks. The results show that certain types of feedforward loops do indeed buffer the network against stochastic effects .
Edit intent: meaning-changed
Original:  Our calculation demonstrates that every circadian clock with a dead zone is optimally adapted to the daylight cycle . Our result also explains the lack of a dead zone in oscillators of mammalian somatic cells, and justifies more effective entrainment by dawn and dusk than by on/off lighting protocols in animals including humans .
Revised:  Our calculation demonstrates that every circadian clock with a dead zone is optimally adapted to the daylight cycle .
Edit intent: coherence
Original:  The BiEntropy algorithm evaluates the order and disorder within and across an entire binary string of length n in O(n^2)time using O(n) memory. The algorithm uses a weighted average of the Shannon Entropies of the string and the first n-2 binary derivatives of the string.
Revised:  The algorithm uses a weighted average of the Shannon Entropies of the string and the first n-2 binary derivatives of the string.
Edit intent: clarity
Original:  We create a consistent identification scheme where the L1 band is identified with the eukaryotic (DEKA) sodium channel, and L0 (speculatively) with the bacterial NaChBac channel.
Revised:  We create a consistent identification scheme where the L0 band is identified with the eukaryotic (DEKA) sodium channel, and L0 (speculatively) with the bacterial NaChBac channel.
Edit intent: meaning-changed
Original:  We create a consistent identification scheme where the L1 band is identified with the eukaryotic (DEKA) sodium channel, and L0 (speculatively) with the bacterial NaChBac channel.
Revised:  We create a consistent identification scheme where the L1 band is identified with the eukaryotic (DEKA) sodium channel, and L1/L2 (speculatively) with the bacterial NaChBac channel.
Edit intent: meaning-changed
Original: Analysis of network dynamics became increasingly important to understand the mechanisms and consequences of changes in biological systemsfrom macromolecules to cells URLanisms. Currently available network dynamics tools are mostly tailored for specific tasks such as calculation of molecular or neural dynamics. Our Turbinesoftware offers a generic framework enabling the simulation of any algorithmically definable dynamics of any network.
Revised: Analysis of network dynamics became a focal point to understand and predict changes of complex systems. Here we introduce Turbine, a generic framework enabling the simulation of any algorithmically definable dynamics of any network.
Edit intent: clarity
Original:  Our Turbinesoftware offers a generic framework enabling the simulation of any algorithmically definable dynamics of any network. Turbine is also optimized for handling very large networks in the range of millions of nodes and edges . Using a perturbation transmission model inspired by communicating vessels, here we introduce a novel centrality measure termed as perturbation centrality.
Revised:  Our Turbinesoftware offers a generic framework enabling the simulation of any algorithmically definable dynamics on very large networks in the range of millions of nodes and edges . Using a perturbation transmission model inspired by communicating vessels, here we introduce a novel centrality measure termed as perturbation centrality.
Edit intent: clarity
Original:  Turbine is also optimized for handling very large networks in the range of millions of nodes and edges . Using a perturbation transmission model inspired by communicating vessels, here we introduce a novel centrality measure termed as perturbation centrality.
Revised:  Turbine is also optimized for handling very large networks . Using a perturbation transmission model inspired by communicating vessels, here we introduce a novel centrality measure termed as perturbation centrality.
Edit intent: clarity
Original:  Turbine is also optimized for handling very large networks in the range of millions of nodes and edges . Using a perturbation transmission model inspired by communicating vessels, here we introduce a novel centrality measure termed as perturbation centrality.
Revised:  Turbine is also optimized for handling very large networks in the range of millions of nodes and edges . Using a perturbation transmission model inspired by communicating vessels, we define a novel centrality measure termed as perturbation centrality.
Edit intent: clarity
Original:  Turbine is also optimized for handling very large networks in the range of millions of nodes and edges . Using a perturbation transmission model inspired by communicating vessels, here we introduce a novel centrality measure termed as perturbation centrality.
Revised:  Turbine is also optimized for handling very large networks in the range of millions of nodes and edges . Using a perturbation transmission model inspired by communicating vessels, here we introduce a novel centrality measure : perturbation centrality.
Edit intent: coherence
Original:  The  Turbine software and the perturbation centrality measure  provide a large variety of novel options for future studies on network robustness, signalingmechanisms and drug design.
Revised:  The novelty and usefulness of perturbation centrality was validated in several other model, biological and social networks. The Turbine software and the perturbation centrality measure provide a large variety of novel options for future studies on network robustness, signalingmechanisms and drug design.
Edit intent: meaning-changed
Original:  The  Turbine software and the perturbation centrality measure  provide a large variety of novel options for future studies on network robustness, signalingmechanisms and drug design.
Revised:  The Turbine software and the perturbation centrality measure provide a large variety of novel options to assess signaling, drug action, environmental and social interventions. The Turbine algorithm is available at: URL
Edit intent: meaning-changed
Original:  Here, we present an application of the method of sinusoidal-input describing function for the analysis of such a system. Using this technique, we approximate the input-output response of a simple biomolecular signaling system both computationally and analytically.
Revised:  Here, we present an application of the method of describing functions to represent the input-output response of a simple biomolecular signaling system both computationally and analytically.
Edit intent: clarity
Original:  Using this technique, we approximate the input-output response of a simple biomolecular signaling system both computationally and analytically. We systematically investigate the dependence of this approximation on system parameters. Finally, we estimate the error involved in this approximation. These results can help in establishing a framework for analysis of biomolecular systems through the use of simplified models .
Revised:  Using this technique, we approximate the input-output responses of biomolecular signaling systems. We approximate representative systems exhibiting various saturating and hysteretic dynamics in a way that is better than the standard linearization. Further, we develop analytical upper bounds for the computational error estimates. Finally, we use these error estimates to augment the limit cycle analysis with a simple and quick way to bound the predicted oscillation amplitude. These results provide system approximations that can provide more insight into the local behaviour of these systems, compute responses to other periodic inputs, and to analyze limit cycles .
Edit intent: meaning-changed
Original:  In the present work, a novel third-order approximation for ATM option prices under the CGMY L\'{e}vy model is derived, and extended to a model with an additional independent Brownian component.
Revised:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and extended to a model with an additional independent Brownian component.
Edit intent: meaning-changed
Original:   Our results shed new light on the connection between both the volatility of the continuous component and the jump parameters and the behavior of ATM option prices near expiration  .
Revised:  The asymptotic regime considered, in which the strike is made to converge to the spot stock price as the maturity approaches 0, is more relevant in applications since the most liquid options have strikes that close to the spot price. Our results shed new light on the connection between both the volatility of the continuous component and the jump parameters and the behavior of ATM option prices near expiration .
Edit intent: meaning-changed
Original:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and  extended to a model with an additional independent Brownian component.
Revised:  In the present work, novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and extended to a model with an additional independent Brownian component.
Edit intent: fluency
Original:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and  extended to a model with an additional independent Brownian component.
Revised:  In the present work, a novel third-order approximations for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and extended to a model with an additional independent Brownian component.
Edit intent: fluency
Original:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and  extended to a model with an additional independent Brownian component.
Revised:  In the present work, a novel third-order approximation for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model is derived, and extended to a model with an additional independent Brownian component.
Edit intent: meaning-changed
Original:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and  extended to a model with an additional independent Brownian component.
Revised:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model are derived, and extended to a model with an additional independent Brownian component.
Edit intent: fluency
Original:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and  extended to a model with an additional independent Brownian component.
Revised:  In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY L\'{e}vy model is derived, and are then extended to a model with an additional independent Brownian component.
Edit intent: clarity
Original:  The asymptotic regime considered, in which the strike is made to converge to the spot stock price as the maturity approaches 0, is more relevant in applications since the most liquid options have strikes that  close to the spot price.
Revised:  The asymptotic regime considered, in which the strike is made to converge to the spot stock price as the maturity approaches zero, is relevant in applications since the most liquid options have strikes that close to the spot price.
Edit intent: clarity