Hierarchy of tail bounds for KSS field supremum yields non-asymptotic error bounds for tensor PCA recovering sqrt(d log k) rate with explicit R and kappa dependence, plus two-sided bracketing of k-spin annealed complexity.
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Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity
Hierarchy of tail bounds for KSS field supremum yields non-asymptotic error bounds for tensor PCA recovering sqrt(d log k) rate with explicit R and kappa dependence, plus two-sided bracketing of k-spin annealed complexity.