354 citations · 677 across the 102 of their papers we have counts for
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The maximum of the Gaussian -noise in the case
Zakhar Kabluchko
We prove that the appropriately normalized maximum of the Gaussian -noise with converges in distribution to the Gumbel double-exponential law.
Extremes of the standardized Gaussian noise
Zakhar Kabluchko
Let be a -dimensional array of i.i.d. Gaussian random variables and define $\SSS(A)=\sum_{n\in A} ξ_n$, where is a finite subset of . We prove that…
Distribution of levels in high-dimensional random landscapes
Zakhar Kabluchko
We prove empirical central limit theorems for the distribution of levels of various random fields defined on high-dimensional discrete structures as the dimension of the structure…
Limit laws for sums of independent random products: the lattice case
Zakhar Kabluchko
Let be a two-dimensional array of i.i.d.\ random variables. The limit laws of the sum of independent random products $$ Z_n=\sum_{i=1}^{N_n} \prod_{j=1}…
Locally adaptive image denoising by a statistical multiresolution criterion
Thomas Hotz, Philipp Marnitz, Rahel Stichtenoth +3
We demonstrate how one can choose the smoothing parameter in image denoising by a statistical multiresolution criterion, both globally and locally. Using inhomogeneous diffusion an…