8 citations · 22 across the 8 of their papers we have counts for
8 papers · 1 filter
Computational methods for nonlocal mean field games with applications
Siting Liu, Matthew Jacobs, Wuchen Li +2
We introduce a novel framework to model and solve mean-field game systems with nonlocal interactions. Our approach relies on kernel-based representations of mean-field interactions…
Unnormalized Optimal Transport
Wilfrid Gangbo, Wuchen Li, Stanley Osher +1
We propose an extension of the computational fluid mechanics approach to the Monge-Kantorovich mass transfer problem, which was developed by Benamou-Brenier. Our extension allows o…
Constrained dynamical optimal transport and its Lagrangian formulation
Wuchen Li, Stanley Osher
We propose dynamical optimal transport (OT) problems constrained in a parameterized probability subset. In application problems such as deep learning, the probability distribution…
Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman Approach
Christian Parkinson, David Arnold, Andrea L. Bertozzi +2
We present a method for determining optimal walking paths in steep terrain using the level set method and an optimal control formulation. By viewing the walking direction as a cont…
Generalized Proximal Smoothing for Phase Retrieval
Minh Pham, Penghang Yin, Arjun Rana +2
In this paper, we report the development of the generalized proximal smoothing (GPS) algorithm for phase retrieval of noisy data. GPS is a optimization-based algorithm, in which we…
A Splitting Method For Overcoming the Curse of Dimensionality in Hamilton-Jacobi Equations Arising from Nonlinear Optimal Control and Differential Games with Applications to Trajectory Generation
Alex Tong Lin, Yat Tin Chow, Stanley Osher
Recent observations have been made that bridge splitting methods arising from optimization, to the Hopf and Lax formulas for Hamilton-Jacobi Equations with Hamiltonians . Thi…