A. Kolleck

most citedOn some aspects of approximation of ridge functions

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.FA2015

Carl's inequality for quasi-Banach spaces

Aicke Hinrichs, Anton Kolleck, Jan Vybiral

We prove that for any two quasi-Banach spaces $X$ and $Y$ and any $α > 0$ there exists a constant $γ_{α} > 0$ such that $$ \sup_{1\le k\le n}k^αe_k(T)\le γ_α\sup_{1\le k\le n} k^αc_k(T)…

cs.IT2015

Non-asymptotic Analysis of $ℓ_{1}$ -norm Support Vector Machines

Anton Kolleck, Jan Vybíral

Support Vector Machines (SVM) with $ℓ_{1}$ penalty became a standard tool in analysis of highdimensional classification problems with sparsity constraints in many applications inc…

math.FA2014★ 2 cited

On some aspects of approximation of ridge functions

Anton Kolleck, Jan Vybiral

We present effective algorithms for uniform approximation of multivariate functions satisfying some prescribed inner structure. We extend in several directions the analysis of reco…

Carl's inequality for quasi-Banach spaces

Non-asymptotic Analysis of ℓ1​-norm Support Vector Machines

On some aspects of approximation of ridge functions

Non-asymptotic Analysis of $ℓ_{1}$ -norm Support Vector Machines