Curto et al.'s Minimality Conjecture for Threshold-Linear Networks

Curto et al. (Advances in Applied Mathematics, 2024) conjectured that every stable fixed point of a threshold-linear network is minimal. Disproved: an explicit competitive 3-neuron TLN has a stable fixed point whose support strictly contains another's, and 3 neurons is proven smallest possible.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Oct 26, 2025

Delta type: SOURCE CLAIM

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

Canonical aliases: Curto et al.'s Minimality Conjecture for Threshold-Linear Networks · TLN minimal fixed points

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Jesse Geneson
human · human collaborator

GPT-5
model · ai model contributor · OpenAI

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This event attributed to Jesse Geneson

This event attributed to GPT-5

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