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Big data can easily be contaminated by outliers or contain variables with heavy-tailed distributions, which makes many conventional methods inadequate.
Robust estimation of a location parameter
Huber, P. J · 1964
Earlier work this paper cites.
Robust regression: Asymptotics, conjectures and Monte Carlo
Huber, P. J · 1973
Earlier work this paper cites.
Mathematics and the picturing of data
Tukey, J. W · 1975
Earlier work this paper cites.
Asymptotic behavior of M M -estimators for the linear model
Yohai, V. J · 1979
Earlier work this paper cites.
Asymptotic behavior of M M estimators of p p regression parameters when p 2 / n p^{2}/n is large; II. Normal approximation
Portnoy, S · 1985
Earlier work this paper cites.
Mammen, E
1989
Earlier work this paper cites.
On a notion of data depth based on random simplices
Liu, R. Y · 1990
Earlier work this paper cites.
Lepski, O. V
1991
Earlier work this paper cites.
General notions of statistical depth function
Zuo, Y · 1991
Earlier work this paper cites.
Ledoux, M
1991
Earlier work this paper cites.
Lepski, O. V
1991
Earlier work this paper cites.
A general Bahadur representation of M M -estimators and its application to linear regression with nonstochastic designs
He, X · 1996
Earlier work this paper cites.
Regression shrinkage and selection via the lasso
Tibshirani, R · 1996
Earlier work this paper cites.
Friedline, J. A., Garrett, S. H., Somji, S., Todd, J. H
1998
Earlier work this paper cites.
Multivariate analysis by data depth: Descriptive statistics, graphics and inference, (with discussion and a rejoinder by Liu and Singh)
Liu, R. Y., Parelius, J. M · 1999
Earlier work this paper cites.
On parameters of increasing dimensions
He, X · 2000
Earlier work this paper cites.
Kretzschmar, M
2000
Earlier work this paper cites.
Ross, D. T
2000
Earlier work this paper cites.
Variable selection via nonconcave penalized likelihood and its oracle properties
Fan, J · 2001
Earlier work this paper cites.
On depth and deep points: A calculus
Mizera, I · 2002
Earlier work this paper cites.
Bousquet, O
2003
Earlier work this paper cites.
Least angle regression
Efron, B · 2004
Earlier work this paper cites.
Location-scale depth
Mizera, I · 2004
Cited alongside, same era.
Nakata, B
2004
Cited alongside, same era.
Quantile Regression
Koenker, R · 2005
Cited alongside, same era.
Oh, J. H., Yang, J. O., Hahn, Y., Kim, M. R., Byun, S. S., Jeon, Y. J., Kim, J. M., Song, K. S., Noh, S. M., Kim, S
2005
Cited alongside, same era.
Purdom, E
2005
Cited alongside, same era.
Shankavaram, U. T
2007
Cited alongside, same era.
Shehata, M., Bièche, I., Boutros, R., Weidenhofer, J., Fanayan, S., Spalding, L., Zeps, N., Byth, K., Bright, R. K., Lidereau, R
2008
Cited alongside, same era.
Rudelson, M
2013
Later among the works it cites.
2013
Later among the works it cites.
Adaptive robust variable selection
Fan, J · 2014
Later among the works it cites.
Landi, A., Vermeire, J., Iannucci, V., Vanderstraeten, H., Naessens, E., Bentahir, M
2014
Later among the works it cites.
SLOPE–Adaptive variable selection via convex optimization
Bogdan, M · 2015
Later among the works it cites.
Empirical risk minimization for heavy-tailed losses
Brownlees, C · 2015
Later among the works it cites.
Hastie, T., Tibshirani, R
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Wu, Y., Siadaty, M. S., Berens, M. E., Hampton, G. M
2008
Cited alongside, same era.
van de Geer, S. A
2008
Cited alongside, same era.
Simultaneous analysis of Lasso and Dantzig selector
Bickel, P. J · 2009
Cited alongside, same era.
Sharp thresholds for high-dimensional and noisy sparsity recovery using ℓ 1 \ell_{1} -constrained quadratic programming (Lasso)
Wainwright, M. J · 2009
Cited alongside, same era.
Bickel, P. J., Ritov, Y
2009
Cited alongside, same era.
2015
Later among the works it cites.
A high-dimensional nonparametric multivariate test for mean vector
Wang, L · 2015
Later among the works it cites.
Globally adaptive quantile regression with ultra-high dimensional data
Zheng, Q · 2015
Later among the works it cites.
Loh, P.-L
2015
Later among the works it cites.
Sub-Gaussian mean estimators
Devroye, L · 2016
Later among the works it cites.
Eklund, A
2016
Later among the works it cites.
Fan, J · 2016
Later among the works it cites.
2017
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Fan, J · 2017
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Robust PCA and pairs of projections in a Hilbert space. Electronic Journal of Statistics
Giulini, I · 2017
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Slope meets Lasso: Improved oracle bounds and optimality
Bellec, P. C · 2018
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2018
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