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New lower bound found for bilevel optimization

By PulseAugur Editorial · [1 sources] ·

Researchers have established a new lower bound for bilevel optimization problems, specifically $\Omega(\kappa_y^{5/2} \epsilon^{-2})$. This finding reveals a gap in the condition number dependency between bilevel and minimax problems. The study also extends these lower bounds to various settings, including higher-order smooth functions, stochastic oracles, and convex objectives. AI

IMPACT Establishes theoretical limits for optimization algorithms, potentially influencing future AI model training techniques.

RANK_REASON This is a research paper detailing new theoretical findings in bilevel optimization. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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

COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Lesi Chen, Jingzhao Zhang ·

    On the Condition Number Dependency in Bilevel Optimization

    arXiv:2511.22331v2 Announce Type: replace-cross Abstract: Bilevel optimization minimizes an objective function, defined by an upper-level problem whose feasible region is the solution of a lower-level problem. We study the oracle complexity of finding an $\epsilon$-stationary poi…

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