1 citations · 1 across the 5 of their papers we have counts for
5 papers
On the Difficulty of Intersection Checking with Polynomial Zonotopes
Yushen Huang, Ertai Luo, Stanley Bak +1
Polynomial zonotopes, a non-convex set representation, have a wide range of applications from real-time motion planning and control in robotics, to reachability analysis of nonline…
Reducing Discretization Error in the Frank-Wolfe Method
Zhaoyue Chen, Yifan Sun
The Frank-Wolfe algorithm is a popular method in structurally constrained machine learning applications, due to its fast per-iteration complexity. However, one major limitation of…
Follow the flow: Proximal flow inspired multi-step methods
Yushen Huang, Yifan Sun
We investigate a family of approximate multi-step proximal point methods, accelerated by implicit linear discretizations of gradient flow. The resulting methods are multi-step prox…
A Multistep Frank-Wolfe Method
Zhaoyue Chen, Yifan Sun
The Frank-Wolfe algorithm has regained much interest in its use in structurally constrained machine learning applications. However, one major limitation of the Frank-Wolfe algorith…
Explicit positive solutions to -heat equations and the application to -capacities
Mingshang Hu, Yifan Sun
In this paper, we study a class of explicit positive solutions to -heat equations by solving second order nonlinear ordinary differential equations. Based on the positive soluti…