1 citations · 2 across the 8 of their papers we have counts for
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Dudley-type bound for stationary Bernoulli processes
W. Bednorz, R. Martynek, R. Meller
This is preliminary, AI-generated note on the Dudley-type bound for stationary Bernoulli processes postulated by M. Talagrand based on the unpublished notes of the authors and the…
Sudakov Minoration for Unconditional Log-Concave Vectors
Witold Bednorz, Rafal Martynek, Rafal Meller
Sudakov minoration asks whether a large family of separated random linear forms must have a large expected maximum. We present a proof candidate for this principle for all uncondit…
Sudakov minoration for unconditional log-concave vectors with negatively associated magnitudes
Witold Bednorz, Rafal Martynek, Rafal Meller
We prove the Sudakov minoration principle, with a universal constant, for unconditional log-concave random vectors whose coordinate magnitudes are negatively associated. The main s…
Operator-norm Sudakov minoration for Gaussian chaos of order two
Witold Bednorz, Rafał Martynek, Rafał Meller
We prove that an operator-norm separated family of matrices satisfies , where G,G' are independent standard Gaussian vectors and a…
A Gaussian Chain Rule Proof of the Banach Space Hanson Wright Bound
Witold Bednorz, Rafal Martynek, Rafal Meller
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,…
A candidate proof of the sharp Latala and Strzelecka Gaussian matrix bound
Witold Bednorz, Rafal Martynek, Rafal Meller
We give a candidate proof of Conjecture 5 in the third arXiv version of Latala and Strzelecka Operator lp lq norms of Gaussian matrices.
An invariant variational proof for canonical processes with independent symmetric log-concave tails
Witold Bednorz, Rafal Martynek, Rafal Meller
We prove a prescribed-index-law comparison for canonical processes with independent symmetric coordinates having log-concave tails, with no doubling assumption