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Best subset selection (BSS) is widely known as the holy grail for high-dimensional variable selection.
Some comments on c p c_{p}
Mallows, C. L · 1973
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A new look at the statistical model identification
Akaike, H · 1974
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Estimating the dimension of a model
Schwarz, G · 1978
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Regression shrinkage and selection via the lasso
Tibshirani, R · 1996
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Information theory and an extension of the maximum likelihood principle
Akaike, H · 1998
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Atomic decomposition by basis pursuit
Chen, S. S · 1998
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Risk bounds for model selection via penalization
Barron, A · 1999
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Variable selection via nonconcave penalized likelihood and its oracle properties
Fan, J · 2001
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Least angle regression
Efron, B · 2004
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Nonconcave penalized likelihood with a diverging number of parameters
Fan, J · 2004
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Regularization and variable selection via the elastic net
Zou, H · 2005
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On model selection consistency of Lasso
Zhao, P · 2006
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The adaptive Lasso and its oracle properties
Zou, H · 2006
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Iterative thresholding for sparse approximations
Blumensath, T · 2008
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Sure independence screening for ultrahigh dimensional feature space
Fan, J · 2008
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Iterative hard thresholding for compressed sensing
Blumensath, T · 2009
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Cosamp: Iterative signal recovery from incomplete and inaccurate samples
Needell, D · 2009
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High dimensional variable selection
Wasserman, L · 2009
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Nearly unbiased variable selection under minimax concave penalty
Zhang, C.-H · 2010
Cited alongside, same era.
Statistics for High-Dimensional Data: Methods, Theory and Applications
Bühlmann, P · 2011
Cited alongside, same era.
Better subset regression
Xiong, S · 2014
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Variable selection is hard
Foster, D · 2015
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Regularized M-estimators with nonconvexity: Statistical and algorithmic theory for local optima
Loh, P.-L · 2015
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Best subset selection via a modern optimization lens
Bertsimas, D · 2016
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FRED-MD: A monthly database for macroeconomic research
McCracken, M. W · 2016
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Probability in high dimension
van Handel, R · 2016
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Extended comparisons of best subset selection, forward stepwise selection, and the lasso
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Fan, J · 2011
Cited alongside, same era.
UPS delivers optimal phase diagram in high-dimensional variable selection
Ji, P · 2012
Cited alongside, same era.
Likelihood-based selection and sharp parameter estimation
Shen, X · 2012
Cited alongside, same era.
A general theory of concave regularization for high-dimensional sparse estimation problems
Zhang, C.-H · 2012
Cited alongside, same era.
Hanson-Wright inequality and sub-Gaussian concentration
Rudelson, M · 2013
Cited alongside, same era.
On constrained and regularized high-dimensional regression
Shen, X · 2013
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Hastie, T · 2017
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Support recovery without incoherence: A case for nonconvex regularization
Loh, P.-L · 2017
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I-LAMM for sparse learning: Simultaneous control of algorithmic complexity and statistical error
Fan, J · 2018
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High-Dimensional Statistics: A Non-Asymptotic Viewpoint
Wainwright, M. J · 2019
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Sparse high-dimensional regression: Exact scalable algorithms and phase transitions
Bertsimas, D · 2020
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Statistical Foundations of Data Science
Fan, J · 2020
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Which bridge estimator is the best for variable selection?
Wang, S · 2020
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