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A Nearly Quadratic Lower Bound for Linear Optimization over Convex Bodies in the Membership Oracle Model

Paper recorded by Signals 4 on 2026-09-24 in cs.LG. Abstract reproduced from arXiv; link to the original below.

Published 2026-09-24 on arXiv · recorded by Signals 4 on 2026-09-25

Category: cs.LG · 机器学习 · first seen 2026-09-25

Abstract

We prove nearly quadratic lower bounds for randomized algorithms for linear optimization and uniform sampling over convex bodies in the membership oracle model. For linear optimization, this matches the known nearly quadratic upper bound up to a polylog factor in the dimension. For uniform sampling, this improves on the previous linear lower bound. Our construction also implies the same lower boun

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#3 most recent of 293 cs.LG papers we have recorded · ↑ newer: Agentic Detection of Online Conspiracies · ↓ older: Anchored Extra-Proximal Methods: Optimal Higher-Order Methods for Mono
Cite this page: A Nearly Quadratic Lower Bound for Linear Optimization over Convex Bodies in the Membership Oracle Model: the #3 most recent of 293 cs.LG papers we have recorded (as of 2026-09-24). Source: Signals 4 (Signals API) — https://data.jiangzhang.ca/signals4/t/papers/a-nearly-quadratic-lower-bound-for-linear-optimization-over-convex-bodies-in-the.html
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