The lower tail of random quadratic forms, with applications to ordinary least squares and restricted eigenvalue properties

Limit of the smallest eigenvalue of a large dimensional sample covariance matrix

Z. D. Bai and Y. Q. Yin · 1993

Earlier work this paper cites.

Random vectors in the isotropic position

Mark Rudelson · 1999

Earlier work this paper cites.

The Concentration of Measure Phenomenon

Michel Ledoux · 2001

Earlier work this paper cites.

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John Langford and John Shawe-Taylor · 2002

Earlier work this paper cites.

On the dependence of the berry–esseen bound on dimension

V. Bentkus · 2003

Earlier work this paper cites.

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Emmanuel J. Candès, Justin K. Romberg, and Terence Tao · 2006

Earlier work this paper cites.

Compressed sensing

David L. Donoho · 2006

Earlier work this paper cites.

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Emmanuel Candès and Terence Tao · 2007

Earlier work this paper cites.

PAC-Bayesian supervised classification (The thermodynamics of statistical learning)

Olivier Catoni · 2007

Earlier work this paper cites.

Fast rates for estimation error and oracle inequalities for model selection

Peter L. Bartlett · 2008

Cited alongside, same era.

On sparse reconstruction from fourier and gaussian measurements

Mark Rudelson and Roman Vershynin · 2008

Cited alongside, same era.

Simultaneous analysis of LASSO and Dantzig selector

Peter J. Bickel, Ya’acov Ritov, and Alexandre B. Tsybakov · 2009

Cited alongside, same era.

On the conditions used to prove oracle results for the LASSO

Peter Buhlmann and Sara van der Geer · 2009

Cited alongside, same era.

Lasso-type recovery of sparse representations for high-dimensional data

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Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles

Radoslaw Adamczak, Alexander E. Litvak, Alain Pajor, and Nicole Tomczak-Jaegermann · 2010

Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling

Radoslaw Adamczak, Alexander E. Litvak, Alain Pajor, and Nicole Tomczak-Jaegermann · 2011

Later among the works it cites.

Sharp bounds on the rate of convergence of the empirical covariance matrix

Radoslaw Adamczak, Alexander E. Litvak, Alain Pajor, and Nicole Tomczak-Jaegermann · 2011

Later among the works it cites.

Robust linear least squares regression

Jean-Yves Audibert and Olivier Catoni · 2011

Later among the works it cites.

Statistics for High-Dimensional Data

Peter Buhlmann and Sara van der Geer · 2011

Later among the works it cites.

A probabilistic and ripless theory of compressed sensing

Emmanuel J. Candès and Yaniv Plan · 2011

Later among the works it cites.

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Peter L. Bartlett, Shahar Mendelson, and Joseph Neeman · 2012