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Finite-sample bounds for regularized optimal transport

math.ST · 2026-06-24 · unverdicted · novelty 7.0

Establishes explicit finite-sample bias and variance bounds for regularized OT costs that improve prior entropic results, deliver the first quantitative bounds for L^p regularization, and yield an n^{-2/(d+4)} rate for quadratic regularization with quadratic cost.

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  • Finite-sample bounds for regularized optimal transport math.ST · 2026-06-24 · unverdicted · none · ref 13 · internal anchor

    Establishes explicit finite-sample bias and variance bounds for regularized OT costs that improve prior entropic results, deliver the first quantitative bounds for L^p regularization, and yield an n^{-2/(d+4)} rate for quadratic regularization with quadratic cost.