9 citations · 48 across the 28 of their papers we have counts for
4 papers · 1 filter
Mean field Kuramoto models on graphs
Wuchen Li, Hansol Park
One of a classical synchronization model is the Kuramoto model. We propose both first and second order Kuramoto dynamical models on graphs using discrete optimal transport dynamics…
Interacting Langevin Diffusions: Gradient Structure And Ensemble Kalman Sampler
Alfredo Garbuno-Inigo, Franca Hoffmann, Wuchen Li +1
Solving inverse problems without the use of derivatives or adjoints of the forward model is highly desirable in many applications arising in science and engineering. In this paper,…
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…
Hopf-Cole transformation via generalized Schrödinger bridge problem
Flavien Léger, Wuchen Li
We study generalized Hopf-Cole transformations motivated by the Schrödinger bridge problem, which can be seen as a boundary value Hamiltonian system on the Wasserstein space. We pr…