University of Luxembourg

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19932026

most citedSchNet - a deep learning architecture for molecules and materials

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Showing 2019 · math.PRShow all

4 papers · 2 filters

math.PR2019★ 8 cited

Multivariate stable approximation in Wasserstein distance by Stein's method

Peng Chen, Ivan Nourdin, Lihu Xu +1

By a delicate analysis for the Stein's equation associated to the $α$ -stable law approximation with $α \in (0, 2)$ , we prove a quantitative stable central limit theorem in Wasserstei…

math.PR2019★ 10 cited

Phase transition for the volume of high-dimensional random polytopes

Gilles Bonnet, Zakhar Kabluchko, Nicola Turchi

The beta polytope $P_{n, d}^{β}$ is the convex hull of $n$ i.i.d. random points distributed in the unit ball of $R^{d}$ according to a density proportional to $(1-\lVert{x}\rVe…

math.PR2019★ 16 cited

Gaussian Random Measures Generated by Berry's Nodal Sets

Giovanni Peccati, Anna Vidotto

We consider vectors of random variables, obtained by restricting the length of the nodal set of Berry's random wave model to a finite collection of (possibly overlapping) smooth co…

math.PR2019★ 4 cited

Non-integrable stable approximation by Stein's method

Peng Chen, Ivan Nourdin, Lihu Xu +2

We develop Stein's method for $α$ -stable approximation with $α \in (0, 1]$ , continuing the recent line of research by Xu \cite{lihu} and Chen, Nourdin and Xu \cite{C-N-X} in the case…