arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.07855cs.LG

Mean Field Game GAN

Georgia Institute of Technology(佐治亚理工学院);The Chinese University of Hong Kong(香港中文大学)

Shaojun Ma, Haomin Zhou, Hongyuan Zha

英文摘要:

We propose a novel mean field games (MFGs) based GAN(generative adversarial network) framework. To be specific, we utilize the Hopf formula in density space to rewrite MFGs as a primal-dual problem so that we are able to train the model via neural networks and samples. Our model is flexible due to the freedom of choosing various functionals within the Hopf formula. Moreover, our formulation mathematically avoids Lipschitz-1 constraint. The correctness and efficiency of our method are validated through several experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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