Bounded Oracle Error in Nonconvex Stochastic Optimization
Arjevani et al. asked whether almost-surely bounded oracle error permits a better rate than bounded variance for smooth nonconvex stochastic optimization. It does not: every randomized adaptive algorithm still needs Omega(dL/eps^2 + dL sigma^2/eps^4) queries, matching the standard upper bound.
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Occurred: Aug 10, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Bounded Oracle Error in Nonconvex Stochastic Optimization · Bounded oracle error question
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
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VibeMathed
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Jikai Jin
human · human collaborator
GPT-5.6 Sol
model · ai model contributor · OpenAI
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This event attributed to Jikai Jin
This event attributed to GPT-5.6 Sol