Large Sample Mean-Field Stochastic Optimization
From MaRDI portal
Publication:5097396
DOI10.1137/21M1424937zbMath1498.93772arXiv1906.08894MaRDI QIDQ5097396
Huafu Liao, Agostino Capponi, Li Jun Bo
Publication date: 23 August 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08894
\(\Gamma\)-convergenceFokker-Planck-Kolmogorov equationrelaxed controlsdeep residual neural networksmean-field stochastic optimization
Control/observation systems governed by partial differential equations (93C20) Optimal stochastic control (93E20) Fokker-Planck equations (35Q84)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean field games with common noise
- A general characterization of the mean field limit for stochastic differential games
- Mean field limit for disordered diffusions with singular interactions
- On uniqueness of solutions to nonlinear Fokker-Planck-Kolmogorov equations
- Compact sets in the space \(L^ p(0,T;B)\)
- An introduction to \(\Gamma\)-convergence
- Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise
- Weak and strong error analysis for mean-field rank-based particle approximations of one-dimensional viscous scalar conservation laws
- Mean-field Markov decision processes with common noise and open-loop controls
- A mean-field optimal control formulation of deep learning
- Mean field games via controlled martingale problems: existence of Markovian equilibria
- A proposal on machine learning via dynamical systems
- Optimal Bilinear Control of Gross--Pitaevskii Equations
- Stochastic Minimum Principle for Partially Observed Systems Subject to Continuous and Jump Diffusion Processes and Driven by Relaxed Controls
- OPTIMAL CONTROL OF PROBABILITY DENSITY FUNCTIONS OF STOCHASTIC PROCESSES
- On the Existence of Optimal Controls
- Stable architectures for deep neural networks
- Compactification methods in the control of degenerate diffusions: existence of an optimal control
- A mean field view of the landscape of two-layer neural networks
- Deep Neural Networks, Generic Universal Interpolation, and Controlled ODEs
- Mean Field Analysis of Deep Neural Networks
- Mean Field Analysis of Neural Networks: A Law of Large Numbers
- Probabilistic Theory of Mean Field Games with Applications I
- Probabilistic Theory of Mean Field Games with Applications II
- The Relaxed Stochastic Maximum Principle in Singular Optimal Control of Diffusions
- Optimal Transport
This page was built for publication: Large Sample Mean-Field Stochastic Optimization