Fetching the paper…
Reading the bibliography…
This paper studies robust regression in the settings of Huber's $\epsilon$-contamination models.
Robust estimation of a location parameter
Peter J Huber · 1964
Earlier work this paper cites.
A robust version of the probability ratio test
Peter J Huber · 1965
Earlier work this paper cites.
Lower bounds for approximation by nonlinear manifolds
Hugh E Warren · 1968
Earlier work this paper cites.
Robust regression: Asymptotics, conjectures and monte carlo
Peter J Huber · 1973
Earlier work this paper cites.
Minimax tests and the Neyman-Pearson lemma for capacities
Peter J Huber and Volker Strassen · 1973
Earlier work this paper cites.
Mathematics and the picturing of data
John W Tukey · 1975
Earlier work this paper cites.
Robust regression using repeated medians
Andrew F Siegel · 1982
Earlier work this paper cites.
Robust regression based on infinitesimal neighbourhoods
PJ Bickel · 1984
Earlier work this paper cites.
Robust regression by means of s-estimators
Peter Rousseeuw and Victor Yohai · 1984
Earlier work this paper cites.
Robust Regression and Outlier Detection
Annick M Leroy and Peter J Rousseeuw · 1987
Earlier work this paper cites.
Symmetric Multivariate and Related Distributions
Kai-Tai Fang, Samuel Kotz, and Kai Wang Ng · 1990
Earlier work this paper cites.
Geometrizing rates of convergence, III
David L Donoho and Richard C Liu · 1991
Earlier work this paper cites.
Regression depth
Peter J Rousseeuw and Mia Hubert · 1999
Cited alongside, same era.
Halfspace depth and regression depth characterize the empirical distribution
Anja J Struyf and Peter J Rousseeuw · 1999
Cited alongside, same era.
Regression depth and center points
Nina Amenta, Marshall Bern, David Eppstein, and S-H Teng · 2000
Cited alongside, same era.
Multivariate regression depth
Marshall Bern and David Eppstein · 2000
Cited alongside, same era.
On depth and deep points: a calculus
Ivan Mizera · 2002
Cited alongside, same era.
High-dimensional graphs and variable selection with the lasso
Nicolai Meinshausen and Peter Bühlmann · 2006
Cited alongside, same era.
Modeling appearances with low-rank svm
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
Vladimir Koltchinskii, Karim Lounici, and Alexandre B Tsybakov · 2011
Later among the works it cites.
Oracle inequalities and optimal inference under group sparsity
Karim Lounici, Massimiliano Pontil, Sara van de Geer, and Alexandre B Tsybakov · 2011
Later among the works it cites.
Minimax rates of estimation for high-dimensional linear regression over-balls
Garvesh Raskutti, Martin J Wainwright, and Bin Yu · 2011
Later among the works it cites.
Estimating sparse precision matrix: Optimal rates of convergence and adaptive estimation
T Tony Cai, Weidong Liu, and Harrison H Zhou · 2012
Later among the works it cites.
Combinatorial methods in density estimation
Luc Devroye and Gábor Lugosi · 2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Lior Wolf, Hueihan Jhuang, and Tamir Hazan · 2007
Cited alongside, same era.
Introduction to Nonparametric Estimation
Alexandre B Tsybakov · 2008
Cited alongside, same era.
Rate minimaxity of the lasso and dantzig selector for the l q l_{q} loss in l r l_{r} balls
Fei Ye and Cun-Hui Zhang · 2010
Cited alongside, same era.
High dimensional inverse covariance matrix estimation via linear programming
Ming Yuan · 2010
Cited alongside, same era.
Optimal selection of reduced rank estimators of high-dimensional matrices
Florentina Bunea, Yiyuan She, Marten H Wegkamp, et al · 2011
Cited alongside, same era.
Gaussian estimation: Sequence and wavelet models
Iain M Johnstone · 2011
Cited alongside, same era.
Nicolas Verzelen · 2012
Later among the works it cites.
Robust estimation of high-dimensional mean regression
Jianqing Fan, Quefeng Li, and Yuyan Wang · 2014
Later among the works it cites.
Adaptive sparse reduced-rank regression
Zongming Ma and Tingni Sun · 2014
Later among the works it cites.
Variance breakdown of huber (m)-estimators: n / p → m ∈ ( 1 , ∞ ) n/p\rightarrow m\in(1,\infty)
David L Donoho and Andrea Montanari · 2015
Later among the works it cites.
Po-Ling Loh and Xin Lu Tan · 2015
Later among the works it cites.
Asymptotic normality and optimalities in estimation of large gaussian graphical models
Zhao Ren, Tingni Sun, Cun-Hui Zhang, and Harrison H Zhou · 2015
Later among the works it cites.
Agnostic estimation of mean and covariance
Kevin A Lai, Anup B Rao, and Santosh Vempala · 2016
Later among the works it cites.