Preprint
Oct 2026
Curvature bounds for the cost of coherence in conditional optimal transport
We study the gap between the integrated direction-wise kinetic minima and the minimum expected Dirichlet energy of a joint particle realization of a prescribed two-parameter family of conditional probability measures. Under regular coarea assumptions with compact connected fibres and a star-shaped parameter domain, we...
Xiao-Zhen Wang, Xiang Zhou, Zi-Han Zhang
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