Problem MAIS-O60: Single-Neuron Fourier Alignment

Does a single ReLU neuron trained on modular addition align to one Fourier frequency? Open Problem MAIS-O60, itself posed by Claude Fable 5 under the direction of Lionel Levine, is answered negatively: an explicit construction reaches a frozen state whose Fourier energy is spread equally across all nonzero frequency classes, on an open set of initial conditions.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Aug 5, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: Problem MAIS-O60: Single-Neuron Fourier Alignment · Fourier alignment (MAIS-O60)

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Gautam Neelakantan Memana
human · human collaborator

GPT-5.6 Sol
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Gautam Neelakantan Memana

This event attributed to GPT-5.6 Sol

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