wanyu/IteraTeR_full_sent huggingface dataset:
Original:  This problem is studied with dynamic programming techniques and with regularization arguments . Using results from the recent literature we obtain the existence of classical solutions to the dynamic programming equation in a regularized version of the model. From this the optimal strategy in the regularized model is straightforward to compute. We give convergence results which show that this strategy is epsilon-optimal in the original model .
Revised:  This problem is studied with dynamic programming techniques and with regularization arguments .
Edit intent: coherence
Original:  The dynamics of these security prices are governed by geometric Brownian motions modulated by a hidden continuous time finite state Markov chain . By means of a reference probability approach to filtering in the enlarged market filtration , we reduce the partially observed stochastic control problem to a  risk sensitive control problem with full observation .
Revised:  The dynamics of these security prices are governed by geometric Brownian motions modulated by a hidden continuous time finite state Markov chain , we reduce the partially observed stochastic control problem to a risk sensitive control problem with full observation .
Edit intent: coherence
Original:  We separate the latter into a pre-default and a post-default dynamic optimization subproblems, and obtain two coupled Hamilton-Jacobi-Bellman equations for the optimal value functions. We obtain a complete solution to the post-default optimization subproblem, and prove a verification theorem for the solution of the pre-default optimization subproblem .
Revised:  We separate the latter into a pre-default and a post-default dynamic optimization subproblems, and obtain two coupled Hamilton-Jacobi-Bellman (HJB) partial differential equations. We prove existence and uniqueness of a globally bounded classical solution to the post-default optimization subproblem, and prove a verification theorem for the solution of the pre-default optimization subproblem .
Edit intent: meaning-changed
Original:  We obtain a complete solution to the post-default optimization subproblem, and prove a verification theorem for the solution of the pre-default optimization subproblem .
Revised:  We obtain a complete solution to the post-default optimization subproblem, and prove a verification theorem for the solution of the corresponding HJB equation. We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger. We find that the investor increases the fraction of overall wealth invested in the risky asset when the information gain coming from receiving price observations is higher .
Edit intent: meaning-changed
Original:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger.
Revised:  We provide a numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger.
Edit intent: clarity
Original:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger.
Revised:  We provide a detailed numerical analysis showing that the investor increases his holdings in stock as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger.
Edit intent: style
Original:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger.
Revised:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in high growth regimes increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger.
Edit intent: clarity
Original:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger.
Revised:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in high default risk regime gets larger.
Edit intent: fluency
Original:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regime gets larger. We find that the investor increases the fraction of overall wealth invested in the risky asset when the information gain coming from receiving price observations is higher .
Revised:  We provide a detailed numerical analysis showing that the investor increases his stock holdings as the filter probability of being in the high growth regime increases, and decreases his credit risk exposure when the filter probability of being in the high default risk regimes gets larger .
Edit intent: coherence
Original:  Once the design is explained, the bit error rate performance of the MC-DCSK system is computed and compared to the conventional DCSK system under an additive white Gaussian noise (AWGN) channel . Simulation results confirm the advantages of this new hybrid design.
Revised:  Once the design is explained, the bit error rate performance of the MC-DCSK system is computed and compared to the conventional DCSK system under an additive white Gaussian noise (AWGN) and Rayleigh channels . Simulation results confirm the advantages of this new hybrid design.
Edit intent: meaning-changed
Original:  The obtained (Martingale) bounds gain an exponential decay factor of {O} %DIFDELCMD < \left(%%% e^{-\alpha n}%DIFDELCMD < \right) %%%  in the number of flows n.
Revised:  The obtained (Martingale) bounds gain an exponential decay factor of {O} %DIFDELCMD < \left(%%% }%DIFDELCMD < \right) %%% in the number of flows n.
Edit intent: meaning-changed
Original:  The obtained (Martingale) bounds gain an exponential decay factor of {O} %DIFDELCMD < \left(%%% e^{-\alpha n}%DIFDELCMD < \right) %%%  in the number of flows n.
Revised:  The obtained (Martingale) bounds gain an exponential decay factor of {O} %DIFDELCMD < \left(%%% e^{-\alpha n}%DIFDELCMD < \right) %%% (e^{-\alpha n in the number of flows n.
Edit intent: fluency
Original:  We validate the biological significance of the pol-II promoter activity clusters by investigating cluster-specific transcription factor binding patterns and determining canonical pathway enrichment  .
Revised:  We validate the biological significance of the pol-II promoter activity clusters by investigating cluster-specific transcription factor binding patterns and determining canonical pathway enrichment . We find that rapidly induced genes are enriched for both estrogen receptor alpha (ER\alpha) and FOXA1 binding in their proximal promoter regions .
Edit intent: meaning-changed
Original:  In the majority of cases, execution time and energy consumption are highly correlated. However, predicting the effect a particular optimisation may have is non-trivial due to its interactions with other optimisations. This validates long standing community beliefs, but for the first time provides concrete evidence of the effect and its magnitude .
Revised:  In the majority of cases, execution time and energy consumption , and identify scenarios where they are and are not correlated .
Edit intent: clarity
Original: Mathematical models are increasingly being used to understand complex biochemical systems, but we rarely know the consequences of choosing one modelto another . Using algebraic techniques we study systematically the effects of intermediate (transient) complexes and provide a simple, yet rigorous mathematical classification of all models obtained from a core model by including intermediates.
Revised: Mathematical models are increasingly being used to understand complex biochemical systems, to analyze experimental data and make predictions about unobserved quantities. However, we rarely know the consequences of choosing one modelto another . Using algebraic techniques we study systematically the effects of intermediate (transient) complexes and provide a simple, yet rigorous mathematical classification of all models obtained from a core model by including intermediates.
Edit intent: meaning-changed
Original: Mathematical models are increasingly being used to understand complex biochemical systems, but we rarely know the consequences of choosing one modelto another . Using algebraic techniques we study systematically the effects of intermediate (transient) complexes and provide a simple, yet rigorous mathematical classification of all models obtained from a core model by including intermediates.
Revised: Mathematical models are increasingly being used to understand complex biochemical systems, but we rarely know how robust our conclusions are with respect to the choice and uncertainties of the model . Using algebraic techniques we study systematically the effects of intermediate (transient) complexes and provide a simple, yet rigorous mathematical classification of all models obtained from a core model by including intermediates.
Edit intent: meaning-changed
Original: Mathematical models are increasingly being used to understand complex biochemical systems, but we rarely know the consequences of choosing one modelto another . Using algebraic techniques we study systematically the effects of intermediate (transient) complexes and provide a simple, yet rigorous mathematical classification of all models obtained from a core model by including intermediates.
Revised: Mathematical models are increasingly being used to understand complex biochemical systems, but we rarely know the consequences of choosing one modelto another . Using algebraic techniques we study systematically the effects of intermediate , or transient, species in biochemical systems and provide a simple, yet rigorous mathematical classification of all models obtained from a core model by including intermediates.
Edit intent: clarity
Original:  Main examples include enzymatic and post-translational modifications systems, where intermediates often are considered insignificant and neglected in a model . In each class , a mathematically simple canonical model  characterizes crucial dynamical properties, such as mono/ multistationarity and stability of steady states, of all models in the class.
Revised:  Main examples include enzymatic and post-translational modifications systems, where intermediates often are considered insignificant and neglected in a model , or they are not included because we are unaware of their existence. All possible models obtained from the core model are classified into a finite number of classes. Each class is defined by a mathematically simple canonical model characterizes crucial dynamical properties, such as mono/ multistationarity and stability of steady states, of all models in the class.
Edit intent: meaning-changed
Original:   Importantly, our results provide guidelines to the modeler in choosing between models and in distinguishing their properties  .
Revised:  We show that if the core model does not have conservation laws, then the introduction of intermediates does not change the steady-state concentrations of the species in the core model, after suitable matching of parameters. Importantly, our results provide guidelines to the modeler in choosing between models and in distinguishing their properties .
Edit intent: meaning-changed
Original:  , and consider various abundances of cognate and non-cognate TFs to assess the influence of competitor molecules thatalso move along the DNA . We show that molecular crowding on the DNA always leads to longer times required by TF molecules to locate their target sites as well as to lower occupancy, which may confer a general mechanism to control gene activity levels globally  .
Revised:  . Despite the attention this mechanism received in the last 40 years, only a few studies investigated the influence of the cellular environment on the facilitated diffusion mechanism and, in particular, the influence of `other' DNA binding proteins competing with the TF molecules for DNA space. Molecular crowding on the DNA is likely to influence the association rate of TFs to their target site and the steady state occupancy of those sites, but it is still not clear how it influences the search in a genome-wide context, when the model includes biologically relevant parameters (such as: TF abundance, TF affinity for DNA and TF dynamics on the DNA). We performed stochastic simulations of TFs performing the facilitated diffusion mechanism, and considered various abundances of cognate and non-cognate TFs to assess the influence of competitor molecules thatalso move along the DNA . We show that molecular crowding on the DNA always leads to longer times required by TF molecules to locate their target sites as well as to lower occupancy, which may confer a general mechanism to control gene activity levels globally .
Edit intent: meaning-changed
Original:  , and consider various abundances of cognate and non-cognate TFs to assess the influence of competitor molecules thatalso move along the DNA . We show that molecular crowding on the DNA always leads to longer times required by TF molecules to locate their target sites as well as to lower occupancy, which may confer a general mechanism to control gene activity levels globally  .
Revised:  , and consider various abundances of cognate and non-cognate TFs . We show that, for both obstacles that move on the DNA and obstacles that are fixed on the DNA, changes in search time are not statistically significant in case of biologically relevant crowding levels on the DNA. In the case of non-cognate proteins that slide on the DNA, molecular crowding on the DNA always leads to longer times required by TF molecules to locate their target sites as well as to lower occupancy, which may confer a general mechanism to control gene activity levels globally .
Edit intent: meaning-changed
Original:  , and consider various abundances of cognate and non-cognate TFs to assess the influence of competitor molecules thatalso move along the DNA . We show that molecular crowding on the DNA always leads to longer times required by TF molecules to locate their target sites as well as to lower occupancy, which may confer a general mechanism to control gene activity levels globally  .
Revised:  , and consider various abundances of cognate and non-cognate TFs to assess the influence of competitor molecules thatalso move along the DNA . We show that molecular crowding on the DNA always leads to statistically significant lower levels of occupancy, which may confer a general mechanism to control gene activity levels globally .
Edit intent: clarity
Original:  , and consider various abundances of cognate and non-cognate TFs to assess the influence of competitor molecules thatalso move along the DNA . We show that molecular crowding on the DNA always leads to longer times required by TF molecules to locate their target sites as well as to lower occupancy, which may confer a general mechanism to control gene activity levels globally  .
Revised:  , and consider various abundances of cognate and non-cognate TFs to assess the influence of competitor molecules thatalso move along the DNA . We show that molecular crowding on the DNA always leads to longer times required by TF molecules to locate their target sites as well as to lower occupancy, which may confer a general mechanism to control gene activity levels globally . When the `other' molecules are immobile on the DNA, we found a completely different behaviour, namely: the occupancy of the target site is always increased by higher molecular crowding on the DNA .
Edit intent: meaning-changed
Original: We solve  the optimal trade execution problem in the Almgren and Chirss framework with the Value-at-risk / Expected Shortfall based criterion of Gatheral and Schied when the underlying unaffected stock price follows a displaced diffusion model.
Revised: We solve a version of the optimal trade execution problem in the Almgren and Chirss framework with the Value-at-risk / Expected Shortfall based criterion of Gatheral and Schied when the underlying unaffected stock price follows a displaced diffusion model.
Edit intent: clarity
Original: We solve  the optimal trade execution problem in the Almgren and Chirss framework with the Value-at-risk / Expected Shortfall based criterion of Gatheral and Schied when the underlying unaffected stock price follows a displaced diffusion model. The displaced diffusion model can conveniently model at the same time situations where either an arithmetic Brownian motion (ABM) or a geometric Browinan motion (GBM) type dynamics may prevail, thus serving as a bridge between the ABM and GBM frameworks.
Revised: We solve the optimal trade execution problem in the Almgren and Chirss framework with the Value-at-risk / Expected Shortfall based criterion of Gatheral and Schied when the underlying unaffected stock price follows a displaced diffusion . Optimal strategies under various risk criteria, namely value-at-risk, expected shortfall and a version of the cost variance measure are derived and compared. It is well known that displaced diffusions exhibit dynamics which are in-between arithmetic Brownian motions (ABM) or a geometric Browinan motion (GBM) type dynamics may prevail, thus serving as a bridge between the ABM and GBM frameworks.
Edit intent: meaning-changed
Original:  The displaced diffusion model can conveniently model at the same time situations where either an arithmetic Brownian motion (ABM) or a geometric Browinan motion (GBM) type dynamics may prevail, thus serving as a bridge between the ABM and GBM frameworks.
Revised:  The displaced diffusion model can conveniently model at the same time situations where either an arithmetic Brownian motion (ABM) or geometric Brownian motions (GBM) type dynamics may prevail, thus serving as a bridge between the ABM and GBM frameworks.
Edit intent: fluency
Original:  The displaced diffusion model can conveniently model at the same time situations where either an arithmetic Brownian motion (ABM) or a geometric Browinan motion (GBM) type dynamics may prevail, thus serving as a bridge between the ABM and GBM frameworks.
Revised:  The displaced diffusion model can conveniently model at the same time situations where either an arithmetic Brownian motion (ABM) or a geometric Browinan motion (GBM) depending of the choice of the shift parameter. The model presented in the paper attempts to provide a bridge between the ABM and GBM frameworks.
Edit intent: meaning-changed
Original:  The displaced diffusion model can conveniently model at the same time situations where either an arithmetic Brownian motion (ABM) or a geometric Browinan motion (GBM) type dynamics may prevail, thus serving as a bridge between the ABM and GBM frameworks. We introduce alternative risk criteria and we notice that the optimal trade executionstrategy little depends on the specific risk criterion we adopt. In most situations the solution is close to the simple Volume Weighted Average Price (VWAP) solution regardless of the specific diffusion dynamics or risk criterion that is chosen, especially on realistic trading horizons of a few days or hours. This suggests that more general dynamics need to be considered, and possibly more extreme risk criteria, in order to find a relevant impact on the optimal strategy
Revised:  The displaced diffusion model can conveniently model at the same time situations where either an arithmetic Brownian motion (ABM) or a geometric Browinan motion (GBM) type dynamics may prevail, thus serving as a bridge between the approach of Almgren and Chris (ABM) and Gatheral and Schied (GBM) to optimal execution. We also study the dependence of the optimal solution on the choice of the risk aversion criterion. Optimal solutions across criteria and asset dynamics are comparable although the difference are not negligible for high levels of risk aversion and low market impact assets.
Edit intent: meaning-changed
Original:  It is well known that displaced diffusions  exhibit dynamics which are in-between arithmetic Brownian motions (ABM) or geometric Brownian motions (GBM) depending of the choice of the shift parameter.
Revised:  It is well known that displaced diffusions (DD) exhibit dynamics which are in-between arithmetic Brownian motions (ABM) or geometric Brownian motions (GBM) depending of the choice of the shift parameter.
Edit intent: meaning-changed
Original:  It is well known that displaced diffusions  exhibit dynamics which are in-between arithmetic Brownian motions (ABM) or geometric Brownian motions (GBM) depending of the choice of the shift parameter.
Revised:  It is well known that displaced diffusions exhibit dynamics which are in-between arithmetic Brownian motions (ABM) and geometric Brownian motions (GBM) depending of the choice of the shift parameter.
Edit intent: fluency
Original:  The model presented in the paper attempts to provide a bridge between the approach of Almgren and Chris (ABM) and Gatheral and Schied (GBM) to optimal execution. We also study the dependence of the optimal solution on the choice of the risk aversion criterion.
Revised:  Furthermore, DD allows for changes in the support of the mid asset price distribution, allowing one to include a minimum permitted value for the mid price, either positive or negative. We study the dependence of the optimal solution on the choice of the risk aversion criterion.
Edit intent: meaning-changed
Original:  These approximations make the scheme to be unconditionally stable in time and preserve positivity of the solution which is computed  via a matrix exponential . The paper demonstrates that the proposed method is computationally efficient, accurate and simple to implement } .
Revised:  These approximations make the scheme to be unconditionally stable in time and preserve positivity of the solution which is computed via a matrix exponential , or via P } .
Edit intent: meaning-changed