18 citations · 53 across the 7 of their papers we have counts for
7 papers
Wasserstein Hamiltonian flows
Shui-Nee Chow, Wuchen Li, Haomin Zhou
We establish kinetic Hamiltonian flows in density space embedded with the -Wasserstein metric tensor. We derive the Euler-Lagrange equation in density space, which introduces…
A discrete Schrodinger equation via optimal transport on graphs
Shui-Nee Chow, Wuchen Li, Haomin Zhou
In 1966, Edward Nelson presented an interesting derivation of the Schrodinger equation using Brownian motion. Recently, this derivation is linked to the theory of optimal transport…
Population games and Discrete optimal transport
Shui-Nee Chow, Wuchen Li, Jun Lu +1
We propose a new evolutionary dynamics for population games with a discrete strategy set, inspired by the theory of optimal transport and Mean field games. The dynamics can be desc…
Equilibrium selection via Optimal transport
Shui-Nee Chow, Wuchen Li, Jun Lu +1
We propose a new dynamics for equilibrium selection of finite player discrete strategy games. The dynamics is motivated by optimal transportation, and models individual players' my…
Entropy dissipation of Fokker-Planck equations on graphs
Shui-Nee Chow, Wuchen Li, Haomin Zhou
We study the nonlinear Fokker-Planck equation on graphs, which is the gradient flow in the space of probability measures supported on the nodes with respect to the discrete Wassers…
Entropy dissipation semi-discretization schemes for Fokker-Planck equations
Shui-Nee Chow, Luca Dieci, Wuchen Li +1
We propose a new semi-discretization scheme to approximate nonlinear Fokker-Planck equations, by exploiting the gradient flow structures with respect to the 2-Wasserstein metric. W…
Influence Prediction for Continuous-Time Information Propagation on Networks
Shui-Nee Chow, Xiaojing Ye, Hongyuan Zha +1
We consider the problem of predicting the time evolution of influence, the expected number of activated nodes, given a set of initially active nodes on a propagation network. To ad…