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Functionally Constrained Algorithm Solves Convex Simple Bilevel Problems

Published in arXiv (Cornell University) • Sep 10, 2024
NobleIDNI4P95W49R96S23
Authors:
Huaqing Zhang
,
Lesi Chen
,
Jing Xu

Abstract

This paper studies simple bilevel problems, where a convex upper-level function is minimized over the optimal solutions of a convex lower-level problem. We first show the fundamental difficulty of simple bilevel problems, that the approximate optimal value of such problems is not obtainable by first...

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