Deep relaxation of controlled stochastic gradient descent via singular perturbations
DOI10.1137/23M1544878zbMATH Open1542.93276MaRDI QIDQ6585233
Hicham Kouhkouh, Martino Bardi
Publication date: 9 August 2024
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
stochastic optimal controlhomogenizationHamilton-Jacobi-Bellman equationsmultiscale systemsdeep neural networksentropic stochastic gradient descent
Artificial neural networks and deep learning (68T07) Time-scale analysis and singular perturbations in control/observation systems (93C70) Optimal stochastic control (93E20)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Optimal control with random parameters: a multiscale approach
- Invariant measures of diffusions with gradient drifts
- Weak convergence methods and singularly perturbed stochastic control and filtering problems
- On Poisson equation and diffusion approximation. II.
- On the Poisson equation and diffusion approximation. III
- On the Poisson equation and diffusion approximation. I
- McKean-Vlasov optimal control: the dynamic programming principle
- Deep relaxation: partial differential equations for optimizing deep neural networks
- The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker-Planck-Kolmogorov equations
- Averaging of singularly perturbed controlled stochastic differential equations
- Controlled Markov processes and viscosity solutions
- Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives
- Uniqueness Results for Second-Order Bellman--Isaacs Equations under Quadratic Growth Assumptions and Applications
- Singular Perturbations in Ergodic Control of Diffusions
- Convergence by Viscosity Methods in Multiscale Financial Models with Stochastic Volatility
- A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts
- Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
- Entropic gradient descent algorithms and wide flat minima*
- Entropy-SGD: biasing gradient descent into wide valleys
- Set-valued analysis
- Singular perturbations in stochastic optimal control with unbounded data
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