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Cheolhyeong Kim

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#machine learning Preprint Oct 2026

A Neural JKO Scheme for Hellinger-Kantorovich Gradient Flows via Monge-Growth Pairs

We develop a mesh-free neural JKO scheme for advection-reaction-diffusion equations with a gradient-flow structure in the Hellinger-Kantorovich (HK) geometry of unbalanced optimal transport. Each update is parametrized by a spatial map and a mass-changing factor, allowing spatial redistribution and local mass creation...

Geuntaek Seo, Cheolhyeong Kim, Hwijae Son et al. · 0 citations

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