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Let $Z_1,\ldots,Z_n$ be i.i.d.
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1959
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1961
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1971
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Yehoram Gordon, Some inequalities for Gaussian processes and applications , Israel J. Math. 50
1985
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1988
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1991
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1993
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Iain M. Johnstone, On the distribution of the largest eigenvalue in principal components analysis , Ann. Statist. 29
2001
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Radosław Adamczak, Alexander E. Litvak, Alain Pajor, and Nicole Tomczak-Jaegermann, Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles , J. Amer. Math. Soc. 23
2010
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Shahar Mendelson, Empirical processes with a bounded ψ 1 \psi_{1} diameter , Geom. Funct. Anal. 20
2010
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Shahar Mendelson and Grigoris Paouris, On generic chaining and the smallest singular value of random matrices with heavy tails , J. Funct. Anal. 262
2012
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2013
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Michel Talagrand, Upper and lower bounds for stochastic processes , Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, vol. 60, Springer, Heidelberg, 2014, Modern methods and classical problems
2014
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Shiri Artstein-Avidan, Apostolos Giannopoulos, and Vitali D. Milman, Asymptotic geometric analysis. Part I , Mathematical Surveys and Monographs, vol. 202, American Mathematical Society, Providence, RI, 2015
2015
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Léo Miolane and Andrea Montanari, The distribution of the Lasso: uniform control over sparse balls and adaptive parameter tuning , Ann. Statist. 49
2021
Later among the works it cites.
2022
Closest in time.
T. Tony Cai, Rungang Han, and Anru R. Zhang, On the non-asymptotic concentration of heteroskedastic Wishart-type matrix , Electron. J. Probab. 27
2022
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2022
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Afonso S. Bandeira, March T. Boedihardjo, and Ramon van Handel, Matrix concentration inequalities and free probability , Invent. Math. 234
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Sjoerd Dirksen, Tail bounds via generic chaining , Electron. J. Probab. 20
2015
Cited alongside, same era.
Evarist Giné and Richard Nickl, Mathematical foundations of infinite-dimensional statistical models , Cambridge Series in Statistical and Probabilistic Mathematics, [40], Cambridge University Press, New York, 2016
2016
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Joel A. Tropp, The expected norm of a sum of independent random matrices: an elementary approach , High dimensional probability VII, Progr. Probab., vol. 71, Springer, [Cham], 2016, pp. 173–202
2016
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Vladimir Koltchinskii and Karim Lounici, Concentration inequalities and moment bounds for sample covariance operators , Bernoulli 23
2017
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Christopher Liaw, Abbas Mehrabian, Yaniv Plan, and Roman Vershynin, A simple tool for bounding the deviation of random matrices on geometric sets , Geometric aspects of functional analysis, Lecture Notes in Math., vol. 2169, Springer, Cham, 2017, pp. 277–299
2017
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Stanislav Minsker, On some extensions of Bernstein’s inequality for self-adjoint operators , Statist. Probab. Lett. 127
2017
Cited alongside, same era.
Ramon van Handel, Structured random matrices , Convexity and concentration, IMA Vol. Math. Appl., vol. 161, Springer, New York, 2017, pp. 107–156
2017
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Christos Thrampoulidis, Ehsan Abbasi, and Babak Hassibi, Precise error analysis of regularized M M -estimators in high dimensions , IEEE Trans. Inform. Theory 64
2018
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2023
Closest in time.
Michael Celentano, Andrea Montanari, and Yuting Wei, The Lasso with general Gaussian designs with applications to hypothesis testing , Ann. Statist. 51
2023
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Wei-Kuo Chen and Arnab Sen, On ℓ p \ell_{p} -Gaussian-Grothendieck problem , Int. Math. Res. Not. IMRN (2023), no. 3, 2344–2428
2023
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Qiyang Han, Noisy linear inverse problems under convex constraints: Exact risk asymptotics in high dimensions , Ann. Statist. 51
2023
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Qiyang Han and Yandi Shen, Universality of regularized regression estimators in high dimensions , Ann. Statist. 51
2023
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2023
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2023
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2024
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Nikita Zhivotovskiy, Dimension-free bounds for sums of independent matrices and simple tensors via the variational principle , Electron. J. Probab. 29
2024
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