2 citations · 3 across the 4 of their papers we have counts for
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Optimal control for stochastic nonlinear Schrodinger equation on graph
Jianbo Cui, Shu Liu, Haomin Zhou
We study the optimal control formulation for stochastic nonlinear Schrodinger equation (SNLSE) on a finite graph. By viewing the SNLSE as a stochastic Wasserstein Hamiltonian flow…
Wasserstein Hamiltonian flow with common noise on graph
Jianbo Cui, Shu Liu, Haomin Zhou
We study the Wasserstein Hamiltonian flow with a common noise on the density manifold of a finite graph. Under the framework of stochastic variational principle, we first develop t…
Approximating the Optimal Transport Plan via Particle-Evolving Method
Shu Liu, Haodong Sun, Hongyuan Zha
Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely us…
Parametric Fokker-Planck equation
Wuchen Li, Shu Liu, Hongyuan Zha +1
We derive the Fokker-Planck equation on the parametric space. It is the Wasserstein gradient flow of relative entropy on the statistical manifold. We pull back the PDE to a finite…