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We study two empirical process of special structure: firstly, the centred multiplier process indexed by a class $F$, $f \to \left|\sum_{i=1}^N (\xi_i f(X_i) - \E \xi f)\right|$, where the i.i.d.
X. Fernique, Régularité des trajectoires des fonctiones aléatoires gaussiennes, Ecole d’Eté de Probabilités de St-Flour 1974, Lecture Notes in Mathematics 480, 1–96, Springer-Verlag 1975
1975
Earlier work this paper cites.
E. Giné and J. Zinn, Some limit theorems for empirical processes, Annals of Probability 12(4), 929-989, 1984
1984
Earlier work this paper cites.
M. Talagrand, Regularity of Gaussian processes, Acta Math. 159, 99-149, 1987
1987
Earlier work this paper cites.
S.J. Montgomery-Smith, The distribution of Rademacher sums. Proceedings of the AMS 109(2) 517–522, 1990
1990
Earlier work this paper cites.
M. Talagrand, The supremum of some canonical processes, American Journal of Mathematics 116, 283–325, 1994
1994
Earlier work this paper cites.
E. D. Gluskin, S. Kwapien, Tail and moment estimates for sums of independent random variables with logarithmically concave tails, Studia math. 114, 303-309, 1995
1995
Earlier work this paper cites.
A.W. Van der Vaart, J.A. Wellner,
1996
Cited alongside, same era.
R. Latała, Estimation of moments of sums of independent real random variables, Annals of Probability 25, 1502-1513, 1997
1997
Cited alongside, same era.
R.M. Dudley,
1999
Cited alongside, same era.
S.G. Bobkov, F.L. Nazarov, On convex bodies and log-concave probability measures with unconditional basis, Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics 1807, 53-69, 2003
2003
Cited alongside, same era.
S. Mendelson, A. Pajor, N. Tomczak-Jaegermann, Reconstruction and subgaussian operators, Geometric and Functional Analysis, 17(4), 1248-1282, 2007
2007
Cited alongside, same era.
S. Mendelson, Empirical processes with a bounded
2010
R. Adamczak, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann, Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling, Constructive Approximation, 34, 61-88, 2011
2011
Later among the works it cites.
S. Mendelson, G. Paouris, On generic chaining and the smallest singular values of random matrices with heavy tails, Journal of Functional Analysis, 262(9), 3775-3811, 2012
2012
Later among the works it cites.
M. Talagrand,
2014
Closest in time.
S. Dirksen, Tail bounds via generic chaining, Electronic Journal of Probability 20 (53), 1–29, 2015
2015
Closest in time.
R. Latała, T. Tkocz, A note on suprema of canonical processes based on random variables with regular moments, Electronic Journal of Probability, 20(36), 1-17, 2015
2015
Closest in time.
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Cited alongside, same era.
W. Bednorz, Concentration via chaining method and its applications, preprint, Arxiv:1405.0676
Cited in the paper.
S. Mendelson, Learning without concentration for a general loss function, preprint, Arxiv 1410.3192
Cited in the paper.
S. Mendelson, Learning without concentration, Journal of the ACM, 62(3), article 21, 1-25, 2015
2015
Closest in time.