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Numerical resolution of McKean-Vlasov equations via stochastic gradient descent

Mathematical Physics and Probability Seminar

Numerical resolution of McKean-Vlasov equations via stochastic gradient descent
Series: Mathematical Physics and Probability Seminar
Location: MATH 402
Presenter: Stefano Pagliarani, University of Bologna

We present a novel approach to the numerical resolution of McKean-Vlasov stochastic differential equations via stochastic gradient descent. The algorithm is presented for a class of mean-field diffusions with separable coefficients. After introducing the algorithm, we present a convergence result and some numerical tests to confirm the theoretical findings. We finally discuss further ongoing investigations about the performance of the algorithm and possible generalizations. This is a joint work with Ankush Agarwal and Gonçalo dos Reis.

(zoom link: https://arizona.zoom.us/j/81196695512)