A candidate proof of the sharp Latala and Strzelecka Gaussian matrix bound
We give a candidate proof of Conjecture 5 in the third arXiv version of Latala and Strzelecka Operator lp lq norms of Gaussian matrices.
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arXiv subjects
Rafal Martynek
Publications and source records attributed to Rafal Martynek.
A Gaussian Chain Rule Proof of the Banach Space Hanson Wright Bound
For a finite family of real matrices, we bound the Gaussian width of the union of its image ellipsoids by its maximal Hilbert Schmidt norm, its maximal fixed input Gaussian width, and the square root of the product of its operator radius and decoupled Gaussian chaos supremum.
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An invariant variational proof for canonical processes with independent symmetric log-concave tails
We prove a prescribed-index-law comparison for canonical processes with independent symmetric coordinates having log-concave tails, with no doubling assumption
math.PR↗