wanyu/IteraTeR_full_sent huggingface dataset:
Original: We show the existence of a continuous-time Nash equilibrium in a financial market with risk averse market makers and an informed trader with a private information. The unwillingness of market makers to bear risk causes the informed trader to absorb large shocks in their inventories. The informed trader's optimal strategy is to drive the market price to its fundamental value while participating in the risk sharing with the market makers. The optimal strategies of the agents turn out to be solutions of a forward-backward system of partial and stochastic differential equations.
Revised: We show the existence of a continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the restriction of risk neutrality imposed on market makers by the current literature. It turns out that, when the market makers are risk averse, the optimal strategies of the agents turn out to be solutions of a forward-backward system of partial and stochastic differential equations.
Edit intent: coherence
Original:  In particular, the price set by the market makers is the solution to a non-standard `quadratic' backward stochastic differential equation  .
Revised:  In particular, the price set by the market makers is the solution to a non-standard `quadratic' backward stochastic differential equation . The main result of the paper is the existence of a Markovian solution to this forward-backward system on an arbitrary time interval, which is obtained via a fixed-point argument on the space of absolutely continuous distribution functions. Moreover, the equilibrium obtained in this paper is able to explain several stylized facts which are not captured by the current asymmetric information models .
Edit intent: meaning-changed
Original: Given the limited CDS market it is inevitable that CVA desks will partially warehouse credit risk . Thus realistic CVA pricing must include both warehoused and hedged risks. Furthermore, warehoused risks may produce profits and losses which will be taxable.
Revised: Credit risk may be warehoused by choice, or because of limited hedging possibilities. Credit risk warehousing increases capital requirements and leaves open risk. Open risk must be priced in the physical measure, rather than the risk neutral measure, and implies profits and losses which will be taxable.
Edit intent: meaning-changed
Original:  Here we extend the semi-replication approach in ( Burgard and Kjaer  2013) to include partial risk warehousing and tax consequences.
Revised:  Here we extend the semi-replication approach in ( Burgard and Kjaer 2013) and the capital formalism (KVA) of Green, Kenyon, and Dennis (2014) to cover credit risk warehousing and tax consequences.
Edit intent: meaning-changed
Original:  Here we extend the semi-replication approach in ( Burgard and Kjaer  2013) to include partial risk warehousing and tax consequences. In doing so we introduce double-semi-replication, i.e. partial hedging of value jump on counterparty default, and TVA : Tax Valuation Adjustment .
Revised:  Here we extend the semi-replication approach in ( Burgard and Kjaer 2013) to include partial risk warehousing and tax , formalized as double-semi-replication and TVA ( Tax Valuation Adjustment .
Edit intent: clarity
Original:  In doing so we introduce double-semi-replication, i.e. partial hedging of value jump on counterparty default, and TVA : Tax Valuation Adjustment . We take an expectation approach to hedging open risk and so introduce a market price of counterparty default value jump risk. We show that both risk warehousing and tax are material in a set of interest rate swap examples .
Revised:  In doing so we introduce double-semi-replication, i.e. partial hedging of value jump on counterparty default, and TVA : Tax Valuation Adjustment ) to enable quantification .
Edit intent: coherence
Original: We examine the reconstruction of the angular-domain periodogram from spatial-domain signals received at different time indices and that of the frequency-domain periodogram from time-domain signals received at different wireless sensors , two problems that show great similarities .
Revised: In this paper, two problems that show great similarities are examined. The first problem is the reconstruction of the angular-domain periodogram from spatial-domain signals received at different time indices and that of the frequency-domain periodogram from time-domain signals received at different wireless sensors , two problems that show great similarities .
Edit intent: meaning-changed
Original: We examine the reconstruction of the angular-domain periodogram from spatial-domain signals received at different time indices and that of the frequency-domain periodogram from time-domain signals received at different wireless sensors , two problems that show great similarities .
Revised: We examine the reconstruction of the angular-domain periodogram from spatial-domain signals received at different time indices . The second one is the reconstruction of the frequency-domain periodogram from time-domain signals received at different wireless sensors , two problems that show great similarities .
Edit intent: meaning-changed
Original: We examine the reconstruction of the angular-domain periodogram from spatial-domain signals received at different time indices and that of the frequency-domain periodogram from time-domain signals received at different wireless sensors , two problems that show great similarities .
Revised: We examine the reconstruction of the angular-domain periodogram from spatial-domain signals received at different time indices and that of the frequency-domain periodogram from time-domain signals received at different wireless sensors .
Edit intent: coherence
Original:  We split the entire angular or frequency band into equal-size binsand set the bin size such that the received spectra at two frequencies or angles, whose distance is equal to or larger than the size of a bin, are uncorrelated.
Revised:  We split the entire angular or frequency band into uniform bins. The bin size is set such that the received spectra at two frequencies or angles, whose distance is equal to or larger than the size of a bin, are uncorrelated.
Edit intent: clarity
Original:  We evaluate the coset correlation matrix estimation and analyze the statistical performance of the compressively reconstructed periodogram , which includes a bias and variance analysis. We then consider the case when the size of the bin is decreased such that the received spectra at two frequencies or angles, with a spacing between them larger than the size of the bin, can still be correlated.
Revised:  We evaluate the coset correlation matrix estimation and analyze the statistical performance of the compressively reconstructed periodogram , which includes a bias and variance . We further consider the case when the size of the bin is decreased such that the received spectra at two frequencies or angles, with a spacing between them larger than the size of the bin, can still be correlated.
Edit intent: clarity
Original:  The algorithm is tested on a boolean model of the mammalian cell cycle where retinoblastoma protein is inactivated, as seen in diseases such as cancer. It returns target combinations able to remove attractors responsible for pathological phenotypes . Results show that the algorithm succeeds in performing the proposed in silico target identification.
Revised:  The algorithm is tested on a boolean model of the mammalian cell cycle and its applications are illustrated on a boolean model of Fanconi anemia. Results show that the algorithm returns target combinations able to remove attractors responsible for pathological phenotypes . Results show that the algorithm succeeds in performing the proposed in silico target identification.
Edit intent: meaning-changed
Original:  The stochastic dynamic origin of the long-term mean and instantaneous volatility of the Vasicek model have been explained. Despite the lack of normality of probability distributions involved,  newly elaborated models have the same degree of analytical tractability as the Black--Scholes model and the Vasicek model .
Revised:  The stochastic dynamic origin of the long-term mean and instantaneous volatility of the Vasicek model has been uncovered. A generalized bond pricing model has been introduced and developed based on short term interest rate stochastic dynamics modeled by superposition of a standard Wiener process and shot noise. Despite the non-Gaussianity of probability distributions involved, newly elaborated models have the same degree of analytical tractability as the Black--Scholes model and the Vasicek model .
Edit intent: meaning-changed
Original:  Despite the lack of normality of probability distributions involved,  newly elaborated models have the same degree of analytical tractability as the Black--Scholes model and the Vasicek model . It allows to obtain new exact simple formulas to value options and bonds .
Revised:  Despite the lack of normality of probability distributions involved, newly elaborated models have the same degree of analytical tractability as the Black--Scholes model and the Vasicek model .
Edit intent: coherence
Original:  We show that under mild assumptions, optimal values of parameters can be efficiently approximated using translation to a Markov decision process (MDP) whose actions correspond to discretized values of these parameters . Even though the translation is theoretically efficient, we also provide heuristics that further decreases the size of the MDP depending on properties of the continuous-time model .
Revised:  We show that under mild assumptions, optimal values of parameters can be effectively approximated using translation to a Markov decision process (MDP) whose actions correspond to discretized values of these parameters . Even though the translation is theoretically efficient, we also provide heuristics that further decreases the size of the MDP depending on properties of the continuous-time model .
Edit intent: clarity
Original:  We show that under mild assumptions, optimal values of parameters can be efficiently approximated using translation to a Markov decision process (MDP) whose actions correspond to discretized values of these parameters . Even though the translation is theoretically efficient, we also provide heuristics that further decreases the size of the MDP depending on properties of the continuous-time model .
Revised:  We show that under mild assumptions, optimal values of parameters can be efficiently approximated using translation to a Markov decision process (MDP) whose actions correspond to discretized values of these parameters .
Edit intent: coherence
Original: Wireless communication is the prerequisite for the highly desired in-situ and real-time monitoring capability in underground environments, including oil reservoirs, groundwater aquifers, volcanos, among others .
Revised: Magnetic Induction (MI) communication technique has shown great potentials in complex and RF-challenging environments, such as underground and underwater, due to its advantage over EM wave-based techniques in penetrating lossy medium .
Edit intent: meaning-changed
Original:  However, existing wireless communication techniques do not work in such environments due to the harsh transmission medium with very high material absorption and the inaccessible nature of underground environment that requires extremely small device size. Although Magnetic Induction ( MI) communication has been shown to be a promising technique in underground environments, the existing MI system utilizes very large coil antennas, which are not suitable for deployment in underground.
Revised:  However, the transmission distance of MI techniques is limited since magnetic field attenuates very fast in the near field. To this end, this paper proposes Metamaterial-enhanced Magnetic Induction ( MI) communication has been shown to be a promising technique in underground environments, the existing MI system utilizes very large coil antennas, which are not suitable for deployment in underground.
Edit intent: meaning-changed
Original:  Although Magnetic Induction ( MI) communication has been shown to be a promising technique in underground environments, the existing MI system utilizes very large coil antennas, which are not suitable for deployment in underground. In this paper, we propose a metamaterial enhanced magnetic induction communication mechanism that can achieve over meter scale communication range by using millimeter scale coil antennasin the harsh underground environment.
Revised:  Although Magnetic Induction ( M^2I) communication mechanism, where a MI coil antenna is enclosed by a metamaterial shell that can enhance the magnetic fields around the MI transceivers. As a result, the M^2I communication system can achieve tens of meters communication range by using millimeter scale coil antennasin the harsh underground environment.
Edit intent: meaning-changed
Original:  In this paper, we propose a metamaterial enhanced magnetic induction communication mechanism that can achieve over meter scale communication range by using millimeter scale coil antennasin the harsh underground environment. An analytical channel model for the new mechanism is developed to explore the fundamentals of metamaterial enhanced MI communication in various underground environments.
Revised:  In this paper, we propose a metamaterial enhanced magnetic induction communication mechanism that can achieve over meter scale communication range by using pocket-sized antennas. In this paper, an analytical channel model for the new mechanism is developed to explore the fundamentals of metamaterial enhanced MI communication in various underground environments.
Edit intent: clarity
Original:  An analytical channel model for the new mechanism is developed to explore the fundamentals of metamaterial enhanced MI communication in various underground environments. The effects of important system and environmental factors are quantitatively captured, including the operating frequency, bandwidth, and parameters of metamaterial antennas, as well as permittivity, permeability, and conductivity of underground medium .
Revised:  An analytical channel model for the new mechanism is developed to explore the fundamentals of the M^2I mechanism, in the aspects of communication range and channel capacity, and the susceptibility to various hostile and complex environments .
Edit intent: clarity
Original: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability  in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Revised: Progress in cell type reprogramming has revived the interest in Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Edit intent: clarity
Original: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability  in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Revised: Progress in cell reprogramming recently has revived Waddington's concept of the epigenetic landscape. Recently researchers developed the quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Edit intent: coherence
Original: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability  in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Revised: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential theory to represent the Waddington's landscape. The Quasi-potential U(x), derived from interactions in the gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Edit intent: meaning-changed
Original: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability  in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Revised: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) of a cell, quantifies the relative stability in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Edit intent: clarity
Original: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability  in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Revised: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability of network states, which determine the effort required for state transitions in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Edit intent: meaning-changed
Original: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability  in a multi-stable dynamical system offers a measure of the effort for the transition between attractors .
Revised: Progress in cell reprogramming recently has revived Waddington's concept of an epigenetic landscapein the term of a quasi-potential function and cell attractors in a complex dynamical system embodied by the cell's gene regulatory network (GRN) . The quasi-potential of network states have biological significance because the relative stability in a multi-stable dynamical system .
Edit intent: clarity
Original:  However, quasi-potential landscapes that have been developed for continuous systems by multiple groups are not suitable for discrete networks , which are generally used to study large networks or ensembles thereof. Here we introduce the relative stability of network states to Boolean networks by using the noise-perturbed Markov matrices. With an ensemble approach of a minimal gene network for pancreas development , we show that Boolean networks with canalized / sign-compatible Boolean functionscan capture essential features of cell fate dynamics and allow the estimation of relative stabilities of network states and, hence, of transition barriers.
Revised:  However, quasi-potential landscapes that have been developed for continuous systems by multiple groups are not suitable for discrete-valued networks which are important tools to study complex systems. In this paper, we provide a framework to quantify the landscape for discrete Boolean networks (BNs). We apply our framework to study pancreas cell differentiation where an ensemble of BN models is considered based on the structure of a minimal GRN for pancreas development , we show that Boolean networks with canalized / sign-compatible Boolean functionscan capture essential features of cell fate dynamics and allow the estimation of relative stabilities of network states and, hence, of transition barriers.
Edit intent: clarity
Original:  With an ensemble approach of a minimal gene network for pancreas development , we show that Boolean networks with canalized / sign-compatible Boolean functionscan capture essential features of cell fate dynamics and allow the estimation of relative stabilities of network states and, hence, of transition barriers.
Revised:  With an ensemble approach of a minimal gene network for pancreas development . We impose biologically motivated structural constraints (corresponding to specific type of Boolean functions) and dynamical constraints (corresponding to stable attractor states) to limit the space of BN models for pancreas development. In addition, we enforce a novel functional constraint corresponding to the relative ordering of attractor states in BN models to restrict the space of BN models to the biological relevant class. We find that BNs with canalyzing / sign-compatible Boolean functionscan capture essential features of cell fate dynamics and allow the estimation of relative stabilities of network states and, hence, of transition barriers.
Edit intent: meaning-changed
Original:  With an ensemble approach of a minimal gene network for pancreas development , we show that Boolean networks with canalized / sign-compatible Boolean functionscan capture essential features of cell fate dynamics and allow the estimation of relative stabilities of network states and, hence, of transition barriers. Our Boolean network framework for calculating the relative stabilities and transition rates of network states can be used to quantify the influence of different geneson cell transitions, estimate the time sequence of cell differentiation and facilitate the rational design of cell reprogramming protocols.
Revised:  With an ensemble approach of a minimal gene network for pancreas development , we show that Boolean networks with canalized / sign-compatible Boolean functions best capture the dynamics of pancreas cell differentiation. This framework can also determine the genes' influence on cell state transitions, and thus can facilitate the rational design of cell reprogramming protocols.
Edit intent: clarity
Original: We use probabilistic methods to characterise the optimal exercise region of a swing option with put payoff, n \ge  exercise rights and finite maturity . The underlying asset's dynamics is given by a geometric Brownian motion 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 \ge exercise rights and finite maturity , when the underlying asset's dynamics is given by a geometric Brownian motion according to the Black & Scholes model.
Edit intent: coherence