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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Quantitative quenched propagation of chaos holds for Langevin spin glass dynamics with non-Gaussian i.i.d. disorder satisfying T2, yielding explicit Wasserstein convergence rates and concentration bounds.
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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.
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Quantitative propagation of chaos and universality for asymmetric Langevin spin glass dynamics
Quantitative quenched propagation of chaos holds for Langevin spin glass dynamics with non-Gaussian i.i.d. disorder satisfying T2, yielding explicit Wasserstein convergence rates and concentration bounds.