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General-rank intrinsic Cramér–Rao lower bound on Tucker manifolds
Sourced from the work of Wanteng Ma, Dong Xia
§ Problem Statement
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§ Discussion
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§ Significance & Implications
§ Known Partial Results
§ References
[1]
Statistical Inference in Tensor Completion: Optimal Uncertainty Quantification and Statistical-to-Computational Gaps
Wanteng Ma, Dong Xia (2024)
Annals of Statistics (to appear)
📍 Section 3 (Cramér-Rao Lower Bound for Linear Form Inference), immediately after Theorem 1 (rank-one intrinsic CRLB), in the following discussion/remark where extension to general multilinear rank is left open due Tucker-manifold curvature analysis.
Source paper where this problem appears.