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math.NA2026
Semi-discrete quadratic Wasserstein energy and state-dependent Langevin exploration
Ran Gu, Gaoyue Guo, Kelvin Shuangjian Zhang
We study the semi-discrete quadratic Wasserstein energy. The energy is nonsmooth at collisions of sites. We prove local Lipschitz continuity on the full configuration space, togeth…
math.NA2025
Convergence analysis of Wirtinger Flow for Poisson phase retrieval
Bing Gao, Ran Gu, Shigui Ma
This paper presents a rigorous theoretical convergence analysis of the Wirtinger Flow (WF) algorithm for Poisson phase retrieval, a fundamental problem in imaging applications. Unl…