Solving Time-Continuous Stochastic Optimal Control Problems: Algorithm Design and Convergence Analysis of Actor-Critic Flow
We propose an actor-critic framework to solve the time-continuous stochastic optimal control
problem. A least square temporal difference method is applied to compute the value function …
problem. A least square temporal difference method is applied to compute the value function …
Modeling stochastic operation of reservoir under ambiguity with an emphasis on river management
H Yoshioka, Y Yoshioka - Optimal Control Applications and …, 2019 - Wiley Online Library
An optimization problem of controlling a dam installed in a river is analyzed based on a
stochastic control formalism of a diffusion process under model ambiguity: a new …
stochastic control formalism of a diffusion process under model ambiguity: a new …
Existence of solutions to integro-PDEs
C Mou - Calculus of Variations and Partial Differential …, 2019 - Springer
This paper is concerned with existence of a C^ α C α viscosity solution of a second order
non-translation invariant integro-PDE. We first obtain a weak Harnack inequality for such …
non-translation invariant integro-PDE. We first obtain a weak Harnack inequality for such …
On Fully Nonlinear Parabolic Mean Field Games with Nonlocal and Local Diffusions
We introduce a class of fully nonlinear mean field games posed in. We justify that they are
related to controlled local or nonlocal diffusions, and more generally in our setting, to a new …
related to controlled local or nonlocal diffusions, and more generally in our setting, to a new …
Optimal Investment and Dividend Strategy under Renewal Risk Model
L Bai, J Ma - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper we continue investigating the optimal dividend and investment problems under
the Sparre Andersen model. More precisely, we try to give a more complete description of …
the Sparre Andersen model. More precisely, we try to give a more complete description of …
Stochastic representations for solutions to parabolic Dirichlet problems for nonlocal Bellman equations
We prove a stochastic representation formula for the viscosity solution of Dirichlet terminal-
boundary value problem for a degenerate Hamilton–Jacobi–Bellman integro-partial …
boundary value problem for a degenerate Hamilton–Jacobi–Bellman integro-partial …
On Optimal Dividend and Investment Strategy under Renewal Risk Models
L Bai, J Ma - arXiv preprint arXiv:1908.11586, 2019 - arxiv.org
In this paper we continue investigating the optimal dividend and investment problems under
the Sparre Andersen model. More precisely, we assume that the claim frequency is a …
the Sparre Andersen model. More precisely, we assume that the claim frequency is a …