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News/Algebraic Diversity: Group-Theoretic Spectral Estimation from Single Observations
arxiv
PublishedJune 5, 2026 at 4:00 AM

Algebraic Diversity: Group-Theoretic Spectral Estimation from Single Observations

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arXiv:2604.03634v5 Announce Type: replace Abstract: We establish that temporal averaging over multiple observations is the degenerate case of algebraic group action with the trivial group $G=\{e\}$. A General Replacement Theorem proves that a group-averaged estimator from one snapshot achieves equiv

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