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.
math.PR↗
arXiv subjects
Rafal Meller
Publications and source records attributed to Rafal Meller.
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.
math.PR↗
A short proof of the Bernoulli decomposition theorem
We give a construction of admissible partitions that yields the Bernoulli decomposition theorem
math.CO↗
Sudakov minoration for weighted Orlicz balls
We give a proof of a universal Sudakov minoration principle for measures based on wighted Orlicz balls.
math.PR↗
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↗