4 citations · 6 across the 4 of their papers we have counts for
6 papers
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…
The steady inviscid compressible self-similar flows and the stability analysis
Shangkun Weng, Hongwei Yuan
We investigate the steady inviscid compressible self-similar flows which depends only on the polar angle in spherical coordinates. It is shown that besides the purely supersonic an…
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…
Steady Compressible Radially Symmetric Flows with Nonzero Angular Velocity in an Annulus
Shangkun Weng, Zhouping Xin, Hongwei Yuan
In this paper, we investigate steady inviscid compressible flows with radial symmetry in an annulus. The major concerns are transonic flows with or without shocks. One of the main…
On Some Smooth Symmetric Transonic Flows with Nonzero Angular Velocity and Vorticity
Shangkun Weng, Zhouping Xin, Hongwei Yuan
This paper concerns the structural stability of smooth cylindrically symmetric transonic flows in a concentric cylinder. Both cylindrical and axi-symmetric perturbations are consid…