This paper investigates the semi-dual formulation of optimal transport, revealing its degenerate saddle-point structure. The research establishes conditions for the convergence of Monge maps without assuming dual potential optimality. This analysis provides insight into why numerical algorithms often need more iterations for the transport map than for the potential. AI
排序理由 This is an academic paper published on arXiv concerning optimal transport. [lever_c_demoted from research: ic=1 ai=0.4]
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