Source authenticated

Stable Phase Retrieval for Spans of Independent Random Variables

After $L^2$ normalization, stable phase retrieval holds over the $L^2$-spans of independent real-valued centered random variables exactly when all but possibly one coordinate satisfies a uniform two-sided $L^1$ bound. This confirms the characterization conjectured by Calderbank, Daubechies, Freeman and Freeman.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Jul 7, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Stable Phase Retrieval for Spans of Independent Random Variables · Stable phase retrieval

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Jaume de Dios Pont
human · human collaborator

Mitchell A. Taylor
human · human collaborator

GPT-5 + Claude Opus 4
model · ai model contributor

Pedro Abdalla
human · human collaborator

João P. G. Ramos
human · human collaborator

Lineage and corrections

This event attributed to Pedro Abdalla

This event attributed to Jaume de Dios Pont

This event attributed to João P. G. Ramos

This event attributed to Mitchell A. Taylor

This event attributed to GPT-5 + Claude Opus 4

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