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Selective inference is a recent research topic that tries to perform valid inference after using the data to select a reasonable statistical model.
A note on data-splitting for the evaluation of significance levels
DR Cox · 1975
Earlier work this paper cites.
Hit-and-run algorithms for generating multivariate distributions
Claude JP Bélisle, H Edwin Romeijn, and Robert L Smith · 1993
Earlier work this paper cites.
Regression shrinkage and selection via the lasso
Robert Tibshirani · 1996
Earlier work this paper cites.
Testing Statistical Hypotheses
Erich L. Lehman · 1997
Earlier work this paper cites.
Regularization and variable selection via the elastic net
Hui Zou and Trevor Hastie · 2005
Earlier work this paper cites.
High-dimensional graphs and variable selection with the lasso
Nicolai Meinshausen and Peter Bühlmann · 2006
Earlier work this paper cites.
Genotypic predictors of human immunodeficiency virus type 1 drug resistance
Soo-Yon Rhee, Jonathan Taylor, Gauhar Wadhera, Asa Ben-Hur, Douglas L Brutlag, and Robert W Shafer · 2006
Earlier work this paper cites.
On model selection consistency of lasso
Peng Zhao and Bin Yu · 2006
Earlier work this paper cites.
High-dimensional generalized linear models and the lasso
Sara A Van de Geer · 2008
Cited alongside, same era.
Sharp thresholds for high-dimensional and noisy sparsity recovery using-constrained quadratic programming (lasso)
Martin J Wainwright · 2009
Cited alongside, same era.
High dimensional variable selection
Larry Wasserman and Kathryn Roeder · 2009
Cited alongside, same era.
Stability selection
Nicolai Meinshausen and Peter Bühlmann · 2010
Cited alongside, same era.
A unified framework for high-dimensional analysis of $m$-estimators with decomposable regularizers
Sahand Negahban, Pradeep Ravikumar, Martin J Wainwright, and Bin Yu · 2010
Cited alongside, same era.
P-values for high-dimensional regression
Nicolai Meinshausen, Lukas Meier, and Peter Bühlmann · 2012
Valid post-selection inference
Richard Berk, Lawrence Brown, Andreas Buja, Kai Zhang, and Linda Zhao · 2013
Later among the works it cites.
Exact post-selection inference with the lasso
Jason D. Lee, Dennis L. Sun, Yuekai Sun, and Jonathan E. Taylor · 2013
Later among the works it cites.
Optimal inference after model selection
William Fithian, Dennis Sun, and Jonathan Taylor · 2014
Later among the works it cites.
Sampling from a log-concave distribution with Projected Langevin Monte Carlo
S. Bubeck, R. Eldan, and J. Lehec · 2015
Later among the works it cites.
Selective inference with unknown variance via the square-root LASSO
Xiaoying Tian, Joshua R. Loftus, and Jonathan E. Taylor · 2015
Later among the works it cites.
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Cited alongside, same era.
Robust adaptive metropolis algorithm with coerced acceptance rate
Matti Vihola · 2012
Cited alongside, same era.
Selective inference with a randomized response
Xiaoying Tian and Jonathan E. Taylor · 2015
Later among the works it cites.
Post-selection inference for l1-penalized likelihood models
Jonathan Taylor and Robert Tibshirani · 2016
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