15 citations · 75 across the 33 of their papers we have counts for
41 papers
Majorizing-measure bounds in the realized square-function metric
Witold M. Bednorz, Rafał M. Łochowski
The predictable square function measures the size of a martingale. Applied to parameter differences, it also defines a random pseudometric. We explain how to perform a majorizing-m…
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.