Fetching the paper…
Reading the bibliography…
We consider the problem of selective inference after solving a (randomized) convex statistical learning program in the form of a penalized or constrained loss function.
Hotelling, H. (1939), ‘Tubes and spheres in n n -spaces and a class of statistical problems’, American Journal of Mathematics
1939
Earlier work this paper cites.
Weyl, H. (1939), ‘On the volume of tubes’, American Journal of Mathematics
1939
Earlier work this paper cites.
Federer, H. (1959), ‘Curvature measures’, Transactions of the American Mathematical Society
1959
Earlier work this paper cites.
Cox, D. (1975), ‘A note on data-splitting for the evaluation of significance levels’, Biometrika
1975
Earlier work this paper cites.
Efron, B. and Hinkley, D. V. (1978), ‘Assessing the Accuracy of the Maximum Likelihood Estimator: Observed Versus Expected Fisher Information’, Biometrika
1978
Earlier work this paper cites.
Barndorff-Nielsen, O. (1983), ‘On a formula for the distribution of the maximum likelihood estimator’, Biometrika
1983
Earlier work this paper cites.
Besag, J. and Clifford, P. (1989), ‘Generalized monte carlo significance tests’, Biometrika
1989
Earlier work this paper cites.
Johnstone, I. and Siegmund, D. (1989), ‘On Hotelling’s formula for the volume of tubes and Naiman’s inequality’, The Annals of Statistics
1989
Earlier work this paper cites.
Schneider, R. (1993), Convex Bodies: the Brunn-Minkowski Theory
1993
Earlier work this paper cites.
Sun, J. (1993), ‘Tail probabilities of the maxima of Gaussian random fields’, The Annals of Probability
1993
Earlier work this paper cites.
Efron, B. and Tibshirani, R. (1996), ‘Using specially designed exponential families for density estimation’, The Annals of Statistics
1996
Earlier work this paper cites.
Tibshirani, R. (1996 a
1996
Earlier work this paper cites.
Chen, S., Donoho, D. and Saunders, M. (1998), ‘Atomic decomposition for basis pursuit’, SIAM Journal on Scientific Computing
1998
Earlier work this paper cites.
Diaconis, P. and Sturmfels, B. (1998), ‘Algebraic algorithms for sampling from conditional distributions’, The Annals of Statistics
1998
Earlier work this paper cites.
Hillier, G. and Armstrong, M. (1999), ‘The Density of the Maximum Likelihood Estimator’, Econometrica
1999
Earlier work this paper cites.
Takemura, A. and Kuriki, S. (2002), ‘Maximum of Gaussian field on piecewise smooth domain: Equivalence of tube method and Euler characteristic method.’, Ann. of Appl. Prob
2002
Earlier work this paper cites.
Ming, Y. and Lin, Y. (2005), ‘Model selection and estimation in regression with grouped variables’, Journal of the Royal Statistical Society: Series B
2005
Earlier work this paper cites.
Zou, H. and Hastie, T. (2005), ‘Regularization and variable selection via the elastic net’, Journal of the Royal Statistical Society: Series B
2005
Earlier work this paper cites.
Meinshausen, N. and Bühlmann, P. (2006), ‘High-dimensional graphs and variable selection with the lasso’, The Annals of Statistics
2006
Earlier work this paper cites.
Taylor, J. E. (2006), ‘A Gaussian kinematic formula’, The Annals of Probability
2006
Earlier work this paper cites.
Zhao, P. and Yu, B. (2006), ‘On model selection consistency of lasso’, The Journal of Machine Learning Research
2006
Earlier work this paper cites.
Adler, R. J. and Taylor, J. (2007), Random Fields and Geometry
2007
Earlier work this paper cites.
arXiv: 1404.2007. http://arxiv.org/abs/1404.2007
Sabourin, J., Valdar, W. and Nobel, A. (2014), ‘A Permutation Approach for Selecting the Penalty Parameter in Penalized Model Selection’, arXiv preprint arXiv:1404.2007 · 2007
Cited alongside, same era.
Friedman, J., Hastie, T. and Tibshirani, R. (2008), ‘Sparse inverse covariance estimation with the graphical lasso’, Biostatistics
2008
Cited alongside, same era.
Van de Geer, S. A. (2008), ‘High-dimensional generalized linear models and the lasso’, The Annals of Statistics
2008
Cited alongside, same era.
Taylor, J. E. and Adler, R. J. (2009), ‘Gaussian processes, kinematic formulae and Poincare’s limit’, The Annals of Probability
2009
Cited alongside, same era.
Wainwright, M. J. (2009), ‘Sharp thresholds for high-dimensional and noisy sparsity recovery using-constrained quadratic programming (lasso)’, Information Theory, IEEE Transactions on
arXiv: 1404.5609. http://arxiv.org/abs/1404.5609
Barber, R. F. and Candes, E. (2014), ‘Controlling the false discovery rate via knockoffs’, arXiv:1404.5609 [math, stat] · 2014
Later among the works it cites.
arXiv: 1105.1475. http://arxiv.org/abs/1105.1475
Belloni, A., Chernozhukov, V. and Wang, L. (2014), ‘Pivotal estimation via square-root Lasso in nonparametric regression’, The Annals of Statistics · 2014
Later among the works it cites.
arXiv: 1410.8260. http://arxiv.org/abs/1410.8260
Choi, Y., Taylor, J. and Tibshirani, R. (2014), ‘Selecting the number of principal components: estimation of the true rank of a noisy matrix’, arXiv preprint arXiv:1410.8260 · 2014
Later among the works it cites.
arXiv: 1410.2597. http://arxiv.org/abs/1410.2597
Fithian, W., Sun, D. and Taylor, J. (2014), ‘Optimal Inference After Model Selection’, arXiv preprint arXiv:1410.2597 · 2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.
Benjamini, Y. (2010), ‘Simultaneous and selective inference: Current successes and future challenges’, Biometrical Journal. Biometrische Zeitschrift
2010
Cited alongside, same era.
Friedman, J., Hastie, T. and Tibshirani, R. (2010), ‘Regularization paths for generalized linear models via coordinate descent’, Journal of Statistical Software
2010
Cited alongside, same era.
Meinshausen, N. and Bühlmann, P. (2010), ‘Stability selection’, Journal of the Royal Statistical Society: Series B (Statistical Methodology)
2010
Cited alongside, same era.
2010
Cited alongside, same era.
2011
Cited alongside, same era.
arXiv: 1104.4595. http://arxiv.org/abs/1104.4595
Sun, T. and Zhang, C.-H. (2011), ‘Scaled Sparse Linear Regression’, arXiv preprint arXiv:1104.4595 · 2011
Cited alongside, same era.
Tibshirani, R. (1996 b
2011
Cited alongside, same era.
Frick, K., Munk, A. and Sieling, H. (2014), ‘Multiscale change point inference’, Journal of the Royal Statistical Society: Series B (Statistical Methodology)
2014
Later among the works it cites.
Lee, J. D. and Taylor, J. E. (2014), Exact Post Model Selection Inference for Marginal Screening, in
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
arXiv: 1401.4425. http://arxiv.org/abs/1401.4425
Zhou, Q. (2014), ‘Monte Carlo Simulation for Lasso-Type Problems by Estimator Augmentation’, Journal of the American Statistical Association · 2014
Later among the works it cites.
2015
Later among the works it cites.
Dwork, C., Feldman, V., Hardt, M., Pitassi, T., Reingold, O. and Roth, A. (2015), ‘The reusable holdout: Preserving validity in adaptive data analysis’, Science
2015
Later among the works it cites.
2015
Later among the works it cites.
arXiv: 1504.08031. http://arxiv.org/abs/1504.08031
Tian, X., Loftus, J. R. and Taylor, J. E. (2015), ‘Selective inference with unknown variance via the square-root LASSO’, arXiv preprint arXiv:1504.08031 · 2015
Later among the works it cites.
arXiv: 1507.06739. http://arxiv.org/abs/1507.06739
Tian, X. and Taylor, J. E. (2015), ‘Selective inference with a randomized response’, arXiv preprint arXiv:1507.06739 · 2015
Later among the works it cites.
Tibshirani, R. J. (2015), ‘A General Framework for Fast Stagewise Algorithms’, Journal of Machine Learning Research
2015
Later among the works it cites.
2016
Closest in time.
Lee, J. D., Sun, D. L., Sun, Y. and Taylor, J. E. (2016), ‘Exact post-selection inference with the lasso’, The Annals of Statistics
2016
Closest in time.
2016
Closest in time.
2016
Closest in time.
2016
Closest in time.
2016
Closest in time.