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Virtual LANS Seminar: Samy Wu Fung
June 17, 2020 @ 10:30 CDT
Seminar Title: A GAN-Based Approach for Solving High-Dimensional Stochastic Mean Field Games
Speaker: Samy Wu Fung, Adjunct Professor, UCLA
Date/Time: 2020-06-17 10:30
Location: Virtual
Description:
We present APAC-Net, an alternating population and agent control neural network for solving stochastic mean field games (MFGs). Our algorithm is geared toward high-dimensional instances of MFGs that are beyond reach with existing solution methods. We achieve this in two steps. First, we take advantage of the underlying variational primal-dual structure that MFGs exhibit and phrase it as a convex-concave saddle point problem. Second, we parameterize the value and density functions by two neural networks, respectively. By phrasing the problem in this manner, solving the MFG can be interpreted as a special case of training a generative adversarial network (GAN). We show the potential of our method on up to 100-dimensional MFG problems.