absorb.md

Mathematical Optimization

Robert Long1Feryal1
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Nesterov Acceleration Cuts Sinkhorn's Optimal Transport Complexity from O(1/ε²) to O(1/ε)

Acc-Sinkhorn reinterprets the classic Sinkhorn algorithm through a bilevel optimization lens: row scaling solves an inner variable exactly, reducing the problem to a single dual variable updated via mirror descent. This structure enables a Hessian-driven Nesterov acceleration that preserves Sinkhorn…

Robust Optimality Conditions for Nonsmooth DTC Optimization via Tangential Subdifferentials

This paper extends robust optimization theory to a nonsmooth, nonconvex function class where the objective is expressed as a Difference of Tangentially Convex (DTC) functions under data uncertainty. The authors develop nonsmooth calculus rules that connect Fréchet and limiting subdifferentials for a…