2 citations · 2 across the 8 of their papers we have counts for
4 papers · 1 filter
Parameterized Methods for Game Dynamics
Yijie Jin, Haomin Zhou
We introduce a parameterized computational framework for the evolution of strategic behavior in continuous games. We consider the collective dynamics of players through a time-depe…
Newton's method for optimal transport problem on graphs
Qujiangxue Chen, Jianbo Cui, Luca Dieci +1
In this paper, we study dynamical optimal transport on a connected graph from the perspective of the Benamou-Brenier formulation, where densities are assigned to vertices and veloc…
Discrete Mean Field Games on Finite Graphs as Initial Value Optimization
Yaxin Feng, Yang Xiang, Haomin Zhou
In this paper, we propose an initial value fomulation of the discrete mean field games on finite graphs (Graph MFG), and design a neural network based approach to solve it. Graph M…
Computing the Gross-Pitaevskii Ground State via Wasserstein Gradient Flow in Diffeomorphism Space
Xiangxiong Zhang, Haomin Zhou
We compute the ground state of the Gross--Pitaevskii equation (GPE) via Wasserstein gradient descent in diffeomorphism space. We represent the density as the push-forwa…