Problem detail · source-aware

Stable Phase Retrieval for Spans of Independent Random Variables

resolvedconfidence 70%

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Precise statement

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.

The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.

What AI did

GPT-5 + Claude Opus 4

Under a heading on the usage of large language models, the authors say the models played a significant role in the development of the work, describing arguments proposed by the authors and then found by GPT-5, with Claude Opus 4 also used.

Provider: unknown · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

No independent review. The disclosure describes a back-and-forth in which the model supplied arguments the authors had proposed in outline. Preprint, not refereed.

Correctness: unknown · statement fidelity: unaudited · peer review: none

Timeline

  1. arXiv

    VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

Known method families

argument (source-reported)

Source-reported tools: argument.

Independent: unknown · difference confidence: 0

What remains uncertain

VibeMath has not independently audited the mathematical statement, proof, or novelty claim.

  • VibeMath has not independently verified the mathematical claim.
  • AI-attempt independence and training-data exposure are unknown unless explicitly documented.
  • VibeMath has not independently audited the mathematical statement, proof, or novelty claim.