4 citations · 6 across the 4 of their papers we have counts for
3 papers · 1 filter
A First-Order Mean Field Control Analysis of Transformer Layers under Cross-Entropy Training
Cheng Huan, Hongwei Yuan
We study Transformer-type residual layers under cross-entropy training through a continuous-depth mean field control viewpoint. Depth is treated as time, layer parameters as contro…
Global Well-Posedness of First-Order Mean Field Games and Master Equations with Nonlinear Dynamics
Alain Bensoussan, Tak Kwong Wong, Sheung Chi Phillip Yam +1
This article presents the variant of the approach introduced in the recent work of Bensoussan, Wong, Yam and Yuan [13] to the generic first-order mean field game problem. A major c…
A Theory of First Order Mean Field Type Control Problems and their Equations
Alain Bensoussan, Tak Kwong Wong, Sheung Chi Phillip Yam +1
In this article, by using several new crucial {\it a priori} estimates which are still absent in the literature, we provide a comprehensive resolution of the first order generic me…