Fetching the paper…
Reading the bibliography…
Starting from concentration of measure hypotheses on $m$ random vectors $Z_1,\ldots, Z_m$, this article provides an expression of the concentration of functionals $\phi(Z_1,\ldots, Z_m)$ where the variations of $\phi$ on each variable depend on the product of the norms (or semi-norms) of the other variables (as if $\phi$ were a product).
Problemes concrets d’analyse fonctionnelle
Paul Lévy · 1951
Earlier work this paper cites.
Reflexivity and the supremum of linear functionals
Robert C. James · 1957
Earlier work this paper cites.
A bound on tail probabilities for quadratic forms in independent random variables
D. L. Hanson and F. T. Wright · 1971
Earlier work this paper cites.
A topological application of the isoperimetric inequality
Mikhael Gromov and Vitali D Milman · 1983
Earlier work this paper cites.
An isoperimetric theorem on the cube and the kintchine-kahane inequalities
Michel Talagrand · 1988
Earlier work this paper cites.
Moment estimates derived from poincaré and logarithmic sobolev inequalities
Shigeki Aida and Daniel Stroock · 1994
Earlier work this paper cites.
On the empirical distribution of eigenvalues of a class of large dimensional random matrices
J. W. Silverstein and Z. D. Bai · 1995
Earlier work this paper cites.
Concentration of measure and isoperimetric inequalities in product spaces
Michel Talagrand · 1995
Earlier work this paper cites.
The concentration of measure phenomenon
Michel Ledoux · 2005
Earlier work this paper cites.
A simple approach to the global regime of gaussian ensembles of random matrices
Leonid Pastur · 2005
Earlier work this paper cites.
Estimates of moments and tails of gaussian chaoses
Rafał Latała · 2006
Earlier work this paper cites.
A stability result for mean width of l p -centroid bodies
B. Fleury, O. Guédon, and G. Paouris · 2007
Cited alongside, same era.
A central limit theorem for convex sets
B. Klartag · 2007
Cited alongside, same era.
On the limiting empirical measure of the sum of rank one matrices with log-concave distribution
Alain Pajor and Leonid Pastur · 2009
Cited alongside, same era.
On the marchenko-pastur and circular laws for some classes of random matrices with dependent entries
Radoslaw Adamczak · 2011
Cited alongside, same era.
Concentration Inequalities: a Nonasymptotic Theory of Independence
Stéphane Boucheron, Gabor Lugosi, and Pascal Massart · 2013
Cited alongside, same era.
On robust regression with high-dimensional predictors
Noureddine El Karoui, Derek Bean, Peter J Bickel, Chinghway Lim, and Bin Yu · 2013
Fluctuations of eigenvalues and second order poincaré inequalities
Sourav Chatterjee · 2017
Later among the works it cites.
Asymptotic behavior of support vector machine for spiked population model
Hanwen Huang · 2017
Later among the works it cites.
High dimensional probability
R. Vershynin · 2017
Later among the works it cites.
Concentration of measure and large random matrices with an application to sample covariance matrices
Cosme Louart and Romain Couillet · 2018
Later among the works it cites.
A large scale analysis of logistic regression: Asymptotic performance and new insights
Xiaoyi Mai, Zhenyu Liao, and Romain Couillet · 2019
Later among the works it cites.
Kernel random matrices of large concentrated data : the example of gan-generated images
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
The central limit theorem for linear eigenvalue statistics of the sum of independent matrices of rank one
Olivier Guédon, Anna Lytova, Alain Pajor, and Leonid Pastur · 2014
Cited alongside, same era.
Random weighted projections, random quadratic forms and random eigen vectors
Van Vu and Ke Wang · 2014
Cited alongside, same era.
A note on the hanson-wright inequality for random vectors with dependencies
Radosław Adamczak · 2015
Cited alongside, same era.
Concentration inequalities for non-lipschitz functions with bounded derivatives of higher order
Radosław Adamczak and Paweł Wolff · 2015
Cited alongside, same era.
Moment estimates implied by modified log-sobolev inequalities
Radosław Adamczak, Witold Bednorz, and Paweł Wolff · 2017
Cited alongside, same era.
Mohamed El Amine Seddik, Mohamed Tamaazousti, and Romain Couillet · 2019
Later among the works it cites.
A model of double descent forhigh-dimensional binary linear classification
Zeyu Deng, Abla Kammoun, and Christos Thrampoulidis · 2020
Later among the works it cites.
Cosme Louart and Romain Couillet · 2021
Closest in time.
The unexpected deterministic and universal behavior of large softmax classifiers
Mohamed El Amine Seddik, Cosme Louart, Mohamed Tamaazousti, and Romain Couillet · 2021
Closest in time.
Sharp bounds for the concentration of the resolvent in convex concentration settings
Cosme Louart · 2022
Closest in time.