Search Results for author: Anna Kazeykina

Found 3 papers, 0 papers with code

Ergodicity of the underdamped mean-field Langevin dynamics

no code implementations29 Jul 2020 Anna Kazeykina, Zhenjie Ren, Xiaolu Tan, Junjian Yang

The results on the MFL equation can be applied to study the convergence of the Hamiltonian gradient descent algorithm for the overparametrized optimization.

Game on Random Environment, Mean-field Langevin System and Neural Networks

no code implementations6 Apr 2020 Giovanni Conforti, Anna Kazeykina, Zhenjie Ren

As applications, the dynamic games can be treated as games on a random environment when one treats the time horizon as the environment.

Mean-field Langevin System, Optimal Control and Deep Neural Networks

no code implementations16 Sep 2019 Kaitong Hu, Anna Kazeykina, Zhenjie Ren

We introduce a system of mean-field Langevin equations, the invariant measure of which is shown to be the optimal control of the initial problem under mild conditions.

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