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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math.FA2010

Average best $m$ -term approximation

Jan Vybíral

We introduce the concept of average best $m$ -term approximation widths with respect to a probability measure on the unit ball of $ℓ_{p}^{n}$ . We estimate these quantities for the em…

math.NA2010★ 5 cited

Learning Functions of Few Arbitrary Linear Parameters in High Dimensions

Massimo Fornasier, Karin Schnass, Jan Vybiral

Let us assume that $f$ is a continuous function defined on the unit ball of $R^{d}$ , of the form $f (x) = g (A x)$ , where $A$ is a $k \times d$ matrix and $g$ is a function of…

math.FA2010★ 9 cited

Johnson-Lindenstrauss lemma for circulant matrices

Aicke Hinrichs, Jan Vybíral

We prove a variant of a Johnson-Lindenstrauss lemma for matrices with circulant structure. This approach allows to minimise the randomness used, is easy to implement and provides g…

Average best m-term approximation

Learning Functions of Few Arbitrary Linear Parameters in High Dimensions

Johnson-Lindenstrauss lemma for circulant matrices

Average best $m$ -term approximation