Trust-Region Optimization for Smooth Potential-Interaction Energies in Wasserstein Space
Finding low-energy configurations of interacting particles and approximating probability distributions lead to the minimization of potential-interaction energies in Wasserstein space. These energies can be nonconvex, making it important to exploit second-order information while controlling the reliability of local approximations. We study trust-region optimization of smooth potential-interaction energies on the Wasserstein space of probability measures with finite second moment. The method uses a quadratic model along pushforward curves, an $L^2(ρ)$ step radius, and a Steihaug-Toint subsolver with an explicit self-adjoint second-variation operator. A ratio test determines acceptance and g...
| Authors | You Wan, Ting Gao, Jinqiao Duan |
|---|---|
| Primary category | stat.ML |
| Published | 6 October 2026 |
| Last updated at source | 6 October 2026 |
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