J. Vybíral

activity

20102023

most citedBig Data of Materials Science - Critical Role of the Descriptor

938 citations · 1.2k across the 21 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

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.ST2015★ 25 cited

Sparse Proteomics Analysis - A compressed sensing-based approach for feature selection and classification of high-dimensional proteomics mass spectrometry data

Tim Conrad, Martin Genzel, Nada Cvetkovic +5

Background: High-throughput proteomics techniques, such as mass spectrometry (MS)-based approaches, produce very high-dimensional data-sets. In a clinical setting one is often inte…

Carl's inequality for quasi-Banach spaces

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

Sparse Proteomics Analysis - A compressed sensing-based approach for feature selection and classification of high-dimensional proteomics mass spectrometry data

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