AI & ML
Resolution of Vinzant's Conjecture on Phase Retrieval Injectivity
arXiv math.IT0 views
arXiv:2606.17922v2 Announce Type: replace-cross Abstract: Let $A\in\mathbb C^{N\times M}$ with $N=4M-5$ has independent standard complex Gaussian entries. We prove that the probability that the phase retrieval map generated by $A$ is injective is strictly smaller than $1$, and is $O(M^{-1})$ as $M\to \infty$. This proves a conjecture of Cynthia Vinzant, which was later restated by Afonso S. Bandeira in \cite{bandeira2026randomstrasse101}. The main result of this paper was obtained using generative AI, in particular GPT6-Astra, GPT 5.6-sol, and the Rethlas system.
Source：https://arxiv.org/abs/2606.17922PreviousEmbodiment-aware control by inference over the operator: a simulation studyNextSACS: A Code Smell Dataset using Semi-automatic Generation Approach
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