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The Dantzig selector: Statistical estimation when p is much larger than n

Data up to Jan 2025

Published2007
Citations3,026
References53

Total Citations Per Year

Abstract

References (53)

A new look at the statistical model identification

1974 • 46,507 citations

Regression Shrinkage and Selection Via the Lasso

1996 • 45,633 citations

Estimating the Dimension of a Model

1978 • 43,634 citations

Convex Optimization

2004 • 32,626 citations

Compressed sensing

2006 • 21,277 citations

Compressed sensing

2004 • 17,943 citations

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

2006 • 15,406 citations

Nonlinear total variation based noise removal algorithms

1992 • 14,826 citations

Ideal spatial adaptation by wavelet shrinkage

1994 • 7,603 citations

Decoding by Linear Programming

2005 • 7,139 citations

Stable signal recovery from incomplete and inaccurate measurements

2006 • 7,038 citations

Atomic Decomposition by Basis Pursuit

1998 • 6,927 citations

Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?

2006 • 6,838 citations

A New Look at the Statistical Model Identification

1974 • 4,189 citations

Sparse Approximate Solutions to Linear Systems

1995 • 2,686 citations

For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution

2006 • 2,526 citations

Ideal Spatial Adaptation by Wavelet Shrinkage

1994 • 2,442 citations

More Comments onCp

1995 • 2,192 citations

Sparsity and incoherence in compressive sampling

2007 • 2,078 citations

Uncertainty principles and ideal atomic decomposition

2001 • 1,996 citations

More Comments on C P

1995 • 1,139 citations

Nonconcave penalized likelihood with a diverging number of parameters

2004 • 978 citations

A new approach to variable selection in least squares problems

2000 • 861 citations

A generalized uncertainty principle and sparse representation in pairs of bases

2002 • 680 citations

Risk bounds for model selection via penalization

1999 • 670 citations

For most large underdetermined systems of equations, the minimal 𝓁1‐norm near‐solution approximates the sparsest near‐solution

2006 • 641 citations

Signal Reconstruction From Noisy Random Projections

2006 • 619 citations

On the LASSO and Its Dual

2000 • 600 citations

On Sparse Representations in Arbitrary Redundant Bases

2004 • 577 citations

The Risk Inflation Criterion for Multiple Regression

1994 • 531 citations

Minimum complexity density estimation

1991 • 512 citations

Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions

2005 • 510 citations

<title>A new compressive imaging camera architecture using optical-domain compression</title>

2006 • 503 citations

Gaussian model selection

2001 • 495 citations

Regularization of Wavelet Approximations

2001 • 486 citations

Sparsity oracle inequalities for the Lasso

2007 • 479 citations

Aggregation for Gaussian regression

2007 • 375 citations

Undersampled projection reconstruction applied to MR angiography

2000 • 371 citations

Persistence in high-dimensional linear predictor selection and the virtue of overparametrization

2004 • 370 citations

From Model Selection to Adaptive Estimation

1997 • 352 citations

Practical Signal Recovery from Random Projections

2005 • 296 citations

Error correction via linear programming

2005 • 272 citations

On the conditioning of random subdictionaries

2007 • 232 citations

Improved time bounds for near-optimal sparse Fourier representations

2005 • 219 citations

Breast disease: dynamic spiral MR imaging.

1998 • 184 citations

Condition numbers of random matrices

1991 • 172 citations

Highly Robust Error Correction byConvex Programming

2008 • 169 citations

Block Coordinate Relaxation Methods for Nonparametric Wavelet Denoising

2000 • 165 citations

Model selection for regression on a fixed design

2000 • 103 citations

Block Coordinate Relaxation Methods for Nonparametric Wavelet Denoising

2000 • 85 citations

Statistics: Challenges and Opportunities for the Twenty-First Century

2003 • 13 citations

Sure Independence Screening for Ultra-High Dimensional Feature Space

2006 • 13 citations

Deleted Work

1955 • 0 citations

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