336 citations · 336 across the 4 of their papers we have counts for
4 papers
Holdout cross-validation for large non-Gaussian covariance matrix estimation using Weingarten calculus
Lamia Lamrani, Benoît Collins, Jean-Philippe Bouchaud
Cross-validation is one of the most widely used methods for model selection and evaluation; its efficiency for large covariance matrix estimation appears robust in practice, but li…
Operator-valued Khintchine inequality for -free semicircles
Benoît Collins, Akihiro Miyagawa
We exhibit several bounds for operator norms of the sum of -free semicircular random variables introduced in the paper of Speicher and Wysoczański. In particular, using the firs…
Variations on quantum de Finetti theorems and operator valued Martin boundaries: a Choquet-Deny approach
Benoît Collins, Thierry Giordano, Ryosuke Sato
We revisit the quantum de Finetti theorem. We state and prove a couple of variants thereof. In parallel, we introduce an operator version of the Martin boundary on quantum groups a…
Theoretical Limits on Extrasolar Terrestrial Planet Detection with Coronagraphs
O. Guyon, E. A. Pluzhnik, M. J. Kuchner +2
Many high contrast coronagraph designs have recently been proposed. In this paper, their suitability for direct imaging of extrasolar terrestrial planets is reviewed. We also devel…