Unsolved
Exploit structure of the overlap matrix beyond trace/spectral gap
Sourced from the work of Yanjun Han, Jonathan Niles-Weed
§ Problem Statement
Setup
Unsolved Problem
§ Discussion
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§ Significance & Implications
§ Known Partial Results
§ References
[1]
Approximate independence of permutation mixtures
Yanjun Han, Jonathan Niles-Weed (2024)
Annals of Statistics (to appear)
📍 Section 6.1 (Discussion: Tightness of upper bounds), paragraph immediately after Lemma 6.2 (“for specific $P$, further properties of the matrix $A$…”) on p. 26 (arXiv v3; Section 5.1 in earlier numbering)
Source paper where this problem appears.