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20062026
most citedPerceptual Adversarial Networks for Image-to-Image Transformation

396 citations

Showing 2011 · math.PRShow all

6 papers · 2 filters

math.PR2011★ 32 cited

Smoothness and asymptotic estimates of densities for SDEs with locally smooth coefficients and applications to square root-type diffusions

Stefano De Marco

We study smoothness of densities for the solutions of SDEs whose coefficients are smooth and nondegenerate only on an open domain . We prove that a smooth density exists on …

math.PR2011

A Mean-Reverting SDE on Correlation matrices

Abdelkoddousse Ahdida, Aurélien Alfonsi

We introduce a mean-reverting SDE whose solution is naturally defined on the space of correlation matrices. This SDE can be seen as an extension of the well-known Wright-Fisher dif…

math.PR2011★ 14 cited

Tail estimates for norms of sums of log-concave random vectors

Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2

We establish new tail estimates for order statistics and for the Euclidean norms of projections of an isotropic log-concave random vector. More generally, we prove tail estimates f…

math.PR2011★ 4 cited

Chevet type inequality and norms of submatrices

Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2

We prove a Chevet type inequality which gives an upper bound for the norm of an isotropic log-concave unconditional random matrix in terms of expectation of the supremum of "symmet…

math.PR2011★ 12 cited

Geometry of log-concave Ensembles of random matrices and approximate reconstruction

Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2

We study the Restricted Isometry Property of a random matrix with independent isotropic log-concave rows. To this end, we introduce a parameter that controls uniforml…

math.PR2011★ 65 cited

Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples

Florence Merlevède, Magda Peligrad

The aim of this paper is to propose new Rosenthal-type inequalities for moments of order higher than 2 of the maximum of partial sums of stationary sequences including martingales…