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Researchers analyze Monge Map stability in semi-dual optimal transport

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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

RANK_REASON This is an academic paper published on arXiv concerning optimal transport. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Researchers analyze Monge Map stability in semi-dual optimal transport

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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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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Anton Selitskiy, David Millard ·

    Stability of the Monge Map in Semi-Dual Optimal Transport

    arXiv:2605.05569v1 Announce Type: cross Abstract: This paper shows that the semi-dual formulation of the optimal transport problem has a degenerate saddle-point structure, and that its numerical solution is equivalent to solving a constrained optimization problem. We derive neces…

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