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7 papers · 1 filter
Dimension-free PAC-Bayesian bounds for matrices, vectors, and linear least squares regression
Olivier Catoni, Ilaria Giulini
This paper is focused on dimension-free PAC-Bayesian bounds, under weak polynomial moment assumptions, allowing for heavy tailed sample distributions. It covers the estimation of t…
High-dimensional robust regression and outliers detection with SLOPE
Alain Virouleau, Agathe Guilloux, Stéphane Gaïffas +1
The problems of outliers detection and robust regression in a high-dimensional setting are fundamental in statistics, and have numerous applications. Following a recent set of work…
Asymptotic enumeration of perfect matchings in -barrel fullerene graphs
Afshin Behmaram, Cédric Boutillier
A connected planar cubic graph is called an -barrel fullerene and denoted by , if it has the following structure: The first circle is an -gon. Then -gon is bounded…
Permanental vectors with nonsymmetric kernels
Nathalie Eisenbaum
A permanental vector with a symmetric kernel and index is a squared Gaussian vector. The definition of permanental vectors is a natural extension of the definition of squared G…
Phase transition for a non-attractive infection process in heterogeneous environment
Marinus Gottschau, Markus Heydenreich, Kilian Matzke +1
We consider a non-attractive three state contact process on and prove that there exists a regime of survival as well as a regime of extinction. In more detail, the proc…
A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff
Nicolas Fournier
We consider the spatially homogeneous Boltzmann equation for hard potentials with angular cutoff. This equation has a unique conservative weak solution , once the…