Search Results for author: Chenchen Mou

Found 3 papers, 0 papers with code

Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size

no code implementations8 Apr 2024 Huafu Liao, Alpár R. Mészáros, Chenchen Mou, Chao Zhou

Using these uniform regularity results, we show the convergence of the minima of objective functionals and optimal parameters of the neural SDEs as the sample size N tends to infinity.

Decoding Mean Field Games from Population and Environment Observations By Gaussian Processes

no code implementations8 Dec 2023 Jinyan Guo, Chenchen Mou, Xianjin Yang, Chao Zhou

This paper presents a Gaussian Process (GP) framework, a non-parametric technique widely acknowledged for regression and classification tasks, to address inverse problems in mean field games (MFGs).

Gaussian Processes regression

Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity

no code implementations29 Jan 2021 Wilfrid Gangbo, Alpár R. Mészáros, Chenchen Mou, Jianfeng Zhang

In this manuscript, we propose a structural condition on non-separable Hamiltonians, which we term displacement monotonicity condition, to study second order mean field games master equations.

Analysis of PDEs Optimization and Control Probability 35R15, 49N80, 49Q22, 60H30, 91A16, 93E20

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