3 problems
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Conjecture on extending the rotationally invariant sampling theorem to linear-size parameters
Let and be the growing integer parameters defining the specific samplings of rotationally invariant measures used in the paper, and let the conclusion of Theorem denote the…
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Optimality conjecture for rotation-invariant estimators in extensive-rank matrix factorization
Optimality conjecture. The analytical formulas for rotation-invariant estimators are optimal in the large-dimension limit, in the sense that they minimize the average mean-square e…
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Thurstone's simple-structure conjecture for resolving rotational invariance
Thurstone's conjecture. Simple structure resolves the rotational invariance of factor analysis.