Expected supremum of canonical processes with log-concave tails is equivalent up to universal constants to a functional on parameterized separation trees, with a polynomial-time approximation algorithm for finite cases.
Some estimates of norms of random matrices.Proc
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Resolvents of the sample covariances in the separable mixture model approximate deterministic matrices defined via solutions to a dual system of equations, without simultaneous diagonalizability assumptions.
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The Dual Majorizing Measure Theorem for Canonical Processes
Expected supremum of canonical processes with log-concave tails is equivalent up to universal constants to a functional on parameterized separation trees, with a polynomial-time approximation algorithm for finite cases.
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Spectral approximation for the separable covariance mixture model
Resolvents of the sample covariances in the separable mixture model approximate deterministic matrices defined via solutions to a dual system of equations, without simultaneous diagonalizability assumptions.