Codes MSC :
62F03 - Hypothesis testing
62J05 - Linear regression
62J07 - "Ridge regression; James-Stein estimators"

Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2146/Slides/Wang.pdf

Voir aussi

• [Virtualconference] Experimenting in equilibrium / Auteur de la Conférence Wager, Stefan. CIRM
  
• [Virtualconference] Structure learning for CTBN's / Auteur de la Conférence Miasojedow, Błażej. CIRM
  
• [Virtualconference] Scaling of scoring rules / Auteur de la Conférence Wallin, Jonas. CIRM
  
• [Virtualconference] Hierarchical bayes modeling for large-scale inference / Auteur de la Conférence Yekutieli, Daniel. CIRM
  
• [Virtualconference] Change: detection, estimation, segmentation / Auteur de la Conférence Siegmund, David. CIRM
  
• [Virtualconference] High-dimensional, multiscale online changepoint detection / Auteur de la Conférence Samworth, Richard. CIRM
  
• [Virtualconference] The smoothed multivariate square-root Lasso: an optimization lens on concomitant estimation / Auteur de la Conférence Salmon, Joseph. CIRM
  
• [Virtualconference] Knockoff genotypes: value in counterfeit / Auteur de la Conférence Sabatti, Chiara. CIRM
  
• [Virtualconference] Optimal and maximin procedures for multiple testing problems / Auteur de la Conférence Rosset, Saharon. CIRM
  
• [Virtualconference] Sparse multiple testing: can one estimate the null distribution ? / Auteur de la Conférence Roquain, Etienne. CIRM
  
• [Virtualconference] Bayesian spatial adaptation / Auteur de la Conférence Rockova, Veronika. CIRM
  
• [Virtualconference] Universal inference using the split likelihood ratio test / Auteur de la Conférence Ramdas, Aaditya K.. CIRM
  
• [Virtualconference] How to estimate a density on a spider web ? / Auteur de la Conférence Picard, Dominique. CIRM
  
• [Virtualconference] Post hoc bounds on false positives using reference families / Auteur de la Conférence Neuvial, Pierre. CIRM
  
• [Virtualconference] Quasi logistic distributions and Gaussian scale mixing / Auteur de la Conférence Letac, Gerard. CIRM
  
• [Virtualconference] Shrinkage estimation of mean for complex multivariate normal distribution with unknown covariance when p > n / Auteur de la Conférence Konno, Yoshihiko. CIRM
  
• [Virtualconference] Treatment effect estimation with missing attributes / Auteur de la Conférence Josse, Julie. CIRM
  
• [Virtualconference] Floodgate: inference for model-free variable importance / Auteur de la Conférence Janson, Lucas. CIRM
  
• [Virtualconference] On Cholesky structures on real symmetric matrices and their applications / Auteur de la Conférence Ishi, Hideyuki. CIRM
  
• [Virtualconference] Optimal control of false discovery criteria in the general two-group model / Auteur de la Conférence Heller, Ruth. CIRM
  
• [Virtualconference] Isotonic Distributional Regression (IDR) - leveraging monotonicity, uniquely so! / Auteur de la Conférence Gneiting, Tilmann. CIRM
  
• [Virtualconference] De-biasing arbitrary convex regularizers and asymptotic normality / Auteur de la Conférence Bellec, Pierre C.. CIRM
  
• [Virtualconference] Consistent model selection criteria and goodness-of-fit test for common time series models / Auteur de la Conférence Bardet, Jean-Marc. CIRM
  
• [Virtualconference] High-dimensional classification by sparse logistic regression / Auteur de la Conférence Abramovich, Felix. CIRM
  

ANDERSON, Theodore W. An introduction to multivariate statistical analysis. 1958. -


BARANIUK, Richard, DAVENPORT, Mark, DEVORE, Ronald, et al. A simple proof of the restricted isometry property for random matrices. Constructive Approximation, 2008, vol. 28, no 3, p. 253-263. - https://doi.org/10.1007/s00365-007-9003-x


BAYATI, Mohsen et MONTANARI, Andrea. The dynamics of message passing on dense graphs, with applications to compressed sensing. IEEE Transactions on Information Theory, 2011, vol. 57, no 2, p. 764-785. - https://doi.org/10.1109/TIT.2010.2094817


BAYATI, Mohsen et MONTANARI, Andrea. The LASSO risk for Gaussian matrices. IEEE Transactions on Information Theory, 2011, vol. 58, no 4, p. 1997-2017. - https://doi.org/10.1109/TIT.2011.2174612


BICKEL, Peter J., RITOV, Ya’acov, TSYBAKOV, Alexandre B., et al. Simultaneous analysis of Lasso and Dantzig selector. The Annals of Statistics, 2009, vol. 37, no 4, p. 1705-1732. - http://dx.doi.org/10.1214/08-AOS620


BÜHLMANN, P. Invited discussion on” regression shrinkage and selection via the lasso: a retrospective (r. tibshirani)”. Journal of the Royal Statistical Society: Series B, 2011, vol. 73, p. 277-279. - https://doi.org/10.1111/j.1467-9868.2011.00771.x


BÜHLMANN, Peter et VAN DE GEER, Sara. Statistics for high-dimensional data: methods, theory and applications. Springer Science & Business Media, 2011. - http://dx.doi.org/10.1007/978-3-642-20192-9


CANDES, Emmanuel J. et TAO, Terence. Decoding by linear programming. IEEE transactions on information theory, 2005, vol. 51, no 12, p. 4203-4215. - https://doi.org/10.1109/TIT.2005.858979


DONOHO, David et MONTANARI, Andrea. High dimensional robust m-estimation: Asymptotic variance via approximate message passing. Probability Theory and Related Fields, 2016, vol. 166, no 3-4, p. 935-969. - http://dx.doi.org/10.1007/s00440-015-0675-z


DONOHO, David et TANNER, Jared. Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, vol. 367, no 1906, p. 4273-4293. - https://doi.org/10.1098/rsta.2009.0152


DONOHO, David L., MALEKI, Arian, et MONTANARI, Andrea. Message-passing algorithms for compressed sensing. Proceedings of the National Academy of Sciences, 2009, vol. 106, no 45, p. 18914-18919. - https://doi.org/10.1073/pnas.0909892106


DONOHO, David L., JAVANMARD, Adel, et MONTANARI, Andrea. Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. IEEE transactions on information theory, 2013, vol. 59, no 11, p. 7434-7464. - https://doi.org/10.1109/TIT.2013.2274513


EFRON, Bradley, HASTIE, Trevor, JOHNSTONE, Iain, et al. Least angle regression. The Annals of statistics, 2004, vol. 32, no 2, p. 407-499. - http://dx.doi.org/10.1214/009053604000000067


FAN, Jianqing, SONG, Rui, et al. Sure independence screening in generalized linear models with NP-dimensionality. The Annals of Statistics, 2010, vol. 38, no 6, p. 3567-3604. - http://dx.doi.org/10.1214/10-AOS798


BARBER, Rina Foygel, CANDÈS, Emmanuel J., et al. A knockoff filter for high-dimensional selective inference. The Annals of Statistics, 2019, vol. 47, no 5, p. 2504-2537. - http://dx.doi.org/10.1214/18-AOS1755


G'SELL, Max Grazier, WAGER, Stefan, CHOULDECHOVA, Alexandra, et al. Sequential selection procedures and false discovery rate control. Journal of the royal statistical society: series B (statistical methodology), 2016, vol. 78, no 2, p. 423-444. - https://doi.org/10.1111/rssb.12122


JANSON, Lucas, SU, Weijie, et al. Familywise error rate control via knockoffs. Electronic Journal of Statistics, 2016, vol. 10, no 1, p. 960-975. - http://dx.doi.org/10.1214/16-EJS1129


MONTANARI, Andrea et RICHARD, Emile. Non-negative principal component analysis: Message passing algorithms and sharp asymptotics. IEEE Transactions on Information Theory, 2015, vol. 62, no 3, p. 1458-1484. - https://doi.org/10.1109/TIT.2015.2457942


MOUSAVI, Ali, MALEKI, Arian, BARANIUK, Richard G., et al. Consistent parameter estimation for LASSO and approximate message passing. The Annals of Statistics, 2018, vol. 46, no 1, p. 119-148. - http://dx.doi.org/10.1214/17-AOS1544


POKAROWSKI, Piotr et MIELNICZUK, Jan. Combined l1 and greedy l0 penalized least squares for linear model selection. Journal of Machine Learning Research, 2015, vol. 16, no 5, p. 961-992. - http://www.jmlr.org/papers/volume16/pokarowski15a/pokarowski15a.pdf


REEVES, Galen et GASTPAR, Michael C. Approximate sparsity pattern recovery: Information-theoretic lower bounds. IEEE Transactions on Information Theory, 2013, vol. 59, no 6, p. 3451-3465. - https://doi.org/10.1109/TIT.2013.2253852


RHEE, Soo-Yon, TAYLOR, Jonathan, WADHERA, Gauhar, et al. Genotypic predictors of human immunodeficiency virus type 1 drug resistance. Proceedings of the National Academy of Sciences, 2006, vol. 103, no 46, p. 17355-17360. - https://doi.org/10.1073/pnas.0607274103


SISKIND, Victor. Second moments of inverse Wishart-matrix elements. Biometrika, 1972, vol. 59, no 3, p. 690-691. - https://doi.org/10.1093/biomet/59.3.690


SU, Weijie, BOGDAN, Małgorzata, CANDES, Emmanuel, et al. False discoveries occur early on the lasso path. The Annals of statistics, 2017, vol. 45, no 5, p. 2133-2150. - http://dx.doi.org/10.1214/16-AOS1521


SU, Weijie J. When is the first spurious variable selected by sequential regression procedures?. Biometrika, 2018, vol. 105, no 3, p. 517-527. - https://doi.org/10.1093/biomet/asy032


TIBSHIRANI, Robert. Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society: Series B (Methodological), 1996, vol. 58, no 1, p. 267-288. - https://doi.org/10.1111/j.2517-6161.1996.tb02080.x


WAINWRIGHT, Martin J. Sharp thresholds for High-Dimensional and noisy sparsity recovery using $\ell _ {1} $-Constrained Quadratic Programming (Lasso). IEEE transactions on information theory, 2009, vol. 55, no 5, p. 2183-2202. - https://doi.org/10.1109/TIT.2009.2016018


WAINWRIGHT, Martin J. Information-theoretic limits on sparsity recovery in the high-dimensional and noisy setting. IEEE Transactions on Information Theory, 2009, vol. 55, no 12, p. 5728-5741. - https://doi.org/10.1109/TIT.2009.2032816


WAINWRIGHT, Martin J. High-dimensional statistics: A non-asymptotic viewpoint. Cambridge University Press, 2019. - https://doi.org/10.1017/9781108627771