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We present a simple and effective algorithm for the problem of \emph{sparse robust linear regression}.
Least absolute deviations curve-fitting
P. Bloomfield and W. Steiger · 1980
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Stable signal recovery from incomplete and inaccurate measurements
E. J. Candès, J. Romberg, and T. Tao · 2006
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The price of privacy and the limits of lp decoding
Cynthia Dwork, Frank McSherry, and Kunal Talwar · 2007
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Robust regression shrinkage and consistent variable selection through the lad-lasso
Hansheng Wang, Guodong Li, and Guohua Jiang · 2007
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Exact signal recovery from sparsely corrupted measurements through the pursuit of justice
Jason N Laska, Mark A Davenport, and Richard G Baraniuk · 2009
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The limits of error correction with lp decoding
Meng Wang, Weiyu Xu, and Ao Tang · 2010
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Robust statistics
Peter J Huber · 2011
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Robust lasso with missing and grossly corrupted observations
Nasser M Nasrabadi, Trac D Tran, and Nam Nguyen · 2011
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Compressed sensing and matrix completion with constant proportion of corruptions
Xiaodong Li · 2013
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Exact recoverability from dense corrupted observations via l1-minimization
Nam H Nguyen and Trac D Tran · 2013
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Corrupted sensing: Novel guarantees for separating structured signals
Rina Foygel and Lester Mackey · 2014
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Robust regression via hard thresholding
Kush Bhatia, Prateek Jain, and Purushottam Kar · 2015
Cited alongside, same era.
Consistent robust regression
Kush Bhatia, Prateek Jain, Parameswaran Kamalaruban, and Purushottam Kar · 2017
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Robust linear regression: A review and comparison
Chun Yu and Weixin Yao · 2017
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Sever: A robust meta-algorithm for stochastic optimization
Ilias Diakonikolas, Gautam Kamath, Daniel M. Kane, Jerry Li, Jacob Steinhardt, and Alistair Stewart · 2018
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Efficient Algorithms and Lower Bounds for Robust Linear Regression
I. Diakonikolas, W. Kong, and A. Stewart · 2018
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Efficient algorithms for outlier-robust regression
Adam R. Klivans, Pravesh K. Kothari, and Raghu Meka · 2018
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Liu Liu, Yanyao Shen, Tianyang Li, and Constantine Caramanis · 2018
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