A neural network approach for stochastic optimal control
DOI10.1137/23M155832XzbMATH Open1547.35182MaRDI QIDQ6598497
Lars Ruthotto, Xingjian Li, Deepanshu Verma
Publication date: 5 September 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Hamilton-Jacobi-Bellman equationneural networksstochastic maximum principleforward-backward stochastic differential equationshigh-dimensional stochastic optimal control
Artificial neural networks and deep learning (68T07) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods in optimal control (49M99) Hamilton-Jacobi equations (35F21)
Cites Work
- Title not available (Why is that?)
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- A splitting method for overcoming the curse of dimensionality in Hamilton-Jacobi equations arising from nonlinear optimal control and differential games with applications to trajectory generation
- Stochastic optimal control via forward and backward stochastic differential equations and importance sampling
- Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations
- The rate of convergence of finite-difference approximations for Bellman equations with Lipschitz coefficients
- Continuous-time stochastic control and optimization with financial applications
- Forward-backward stochastic differential equations and their applications
- Forward-backward stochastic differential equations and quasilinear parabolic PDEs
- Backward-forward stochastic differential equations
- Solving forward-backward stochastic differential equations explicitly -- a four step scheme
- An investigation of radial basis function-finite difference (RBF-FD) method for numerical solution of elliptic partial differential equations
- Stochastic differential games: a sampling approach via FBSDEs
- The rate of convergence of finite-difference approximations for parabolic bellman equations with Lipschitz coefficients in cylindrical domains
- A forward scheme for backward SDEs
- Controlled Markov processes and viscosity solutions
- Solving PDEs in Python
- ON THE RATE OF CONVERGENCE OF APPROXIMATION SCHEMES FOR BELLMAN EQUATIONS ASSOCIATED WITH OPTIMAL STOPPING TIME PROBLEMS
- Dynamic programming and stochastic control processes
- Second-order backward stochastic differential equations and fully nonlinear parabolic PDEs
- Maximal Use of Central Differencing for Hamilton–Jacobi–Bellman PDEs in Finance
- An approximation scheme for the optimal control of diffusion processes
- Deep backward schemes for high-dimensional nonlinear PDEs
- Solving high-dimensional partial differential equations using deep learning
- Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation
- Approximate Dynamic Programming
- Numerical Methods for Stochastic Control Problems in Continuous Time
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