209 citations · 877 across the 58 of their papers we have counts for
4 papers · 1 filter
Convergence analysis for a nonlocal gradient descent method via directional Gaussian smoothing
Hoang Tran, Qiang Du, Guannan Zhang
We analyze the convergence of a nonlocal gradient descent method for minimizing a class of high-dimensional non-convex functions, where a directional Gaussian smoothing (DGS) is pr…
On the Ternary Ohta-Kawasaki Free Energy and Its One-dimensional Global Minimizers
Zirui Xu, Qiang Du
We study the ternary Ohta-Kawasaki free energy that has been used to model triblock copolymer systems. Its one-dimensional global minimizers are conjectured to have cyclic patterns…
Stabilizing Traffic via Autonomous Vehicles: A Continuum Mean Field Game Approach
Kuang Huang, Xuan Di, Qiang Du +1
This paper presents scalable traffic stability analysis for both pure autonomous vehicle (AV) traffic and mixed traffic based on continuum traffic flow models. Human vehicles are m…
A Game-Theoretic Framework for Autonomous Vehicles Velocity Control: Bridging Microscopic Differential Games and Macroscopic Mean Field Games
Kuang Huang, Xuan Di, Qiang Du +1
This paper proposes an efficient computational framework for longitudinal velocity control of a large number of autonomous vehicles (AVs) and develops a traffic flow theory for AVs…