Does SLOPE outperform bridge regression

Shuaiwen Wang, Haolei Weng, Arian Maleki

Type: Preprint

Publication Date: 2019-09-20

Citations: 11

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Does SLOPE outperform bridge regression?	2019	Shuaiwen Wang Haolei Weng Arian Maleki
+ PDF Chat	Does SLOPE outperform bridge regression?	2021	Shuaiwen Wang Haolei Weng Arian Maleki
+	SLOPE is adaptive to unknown sparsity and asymptotically minimax	2016	Weijie Su Emmanuel J. Candès
+	Asymptotics and Optimal Designs of SLOPE for Sparse Linear Regression	2019	Hong Hu Yue M. Lu
+	Asymptotics and Optimal Designs of SLOPE for Sparse Linear Regression	2019	Hong Hu Yue M. Lu
+	Improved bounds for Square-Root Lasso and Square-Root Slope	2017	Alexis Derumigny
+	SLOPE for Sparse Linear Regression:Asymptotics and Optimal Regularization	2019	Hu Hong Yue M. Lu
+	Improved bounds for Square-Root Lasso and Square-Root Slope	2017	Alexis Derumigny
+	SLOPE is Adaptive to Unknown Sparsity and Asymptotically Minimax	2015	Weijie Su Emmanuel J. Candès
+	Slope meets Lasso: improved oracle bounds and optimality	2016	Pierre Bellec Guillaume Lecué Alexandre B. Tsybakov
+	Slope meets Lasso: improved oracle bounds and optimality	2016	Pierre Bellec Guillaume Lecué Alexandre B. Tsybakov
+ PDF Chat	Slope meets Lasso: Improved oracle bounds and optimality	2018	Pierre Bellec Guillaume Lecué Alexandre B. Tsybakov
+ PDF Chat	Simple expressions of the LASSO and SLOPE estimators in low-dimension	2020	Patrick Tardivel Rémi Servien Didier Concordet
+	Improved bounds for Square-Root Lasso and Square-Root Slope	2018	Alexis Derumigny
+ PDF Chat	SLOPE for Sparse Linear Regression: Asymptotics and Optimal Regularization	2022	Hong Hu Yue M. Lu
+	Improved bounds for Square-Root Lasso and Square-Root Slope	2017	Alexis Derumigny
+	On the asymptotic properties of SLOPE	2019	Michał Kos Małgorzata Bogdan
+	On the asymptotic properties of SLOPE	2019	Michał Kos Małgorzata Bogdan
+ PDF Chat	On the Asymptotic Properties of SLOPE	2020	Michał Kos Małgorzata Bogdan
+	A note on sharp oracle bounds for Slope and Lasso	2021	Zhiyong Zhou

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	SLOPE for Sparse Linear Regression: Asymptotics and Optimal Regularization	2022	Hong Hu Yue M. Lu
+	Efficient Designs of SLOPE Penalty Sequences in Finite Dimension	2021	Yiliang Zhang Zhiqi Bu
+	Optimality of Least-squares for Classification in Gaussian-Mixture Models	2020	Hossein Taheri Ramtin Pedarsani Christos Thrampoulidis
+	Theoretical Insights Into Multiclass Classification: A High-dimensional Asymptotic View	2020	Christos Thrampoulidis Samet Oymak Mahdi Soltanolkotabi
+	Fundamental Limits of Ridge-Regularized Empirical Risk Minimization in High Dimensions	2020	Hossein Taheri Ramtin Pedarsani Christos Thrampoulidis
+ PDF Chat	Precise statistical analysis of classification accuracies for adversarial training	2022	Adel Javanmard Mahdi Soltanolkotabi
+ PDF Chat	Analytic Study of Double Descent in Binary Classification: The Impact of Loss	2020	Ganesh Ramachandra Kini Christos Thrampoulidis
+	Sharp global convergence guarantees for iterative nonconvex optimization: A Gaussian process perspective	2021	Kabir Aladin Chandrasekher Ashwin Pananjady Christos Thrampoulidis
+	Characterizing the SLOPE Trade-off: A Variational Perspective and the Donoho-Tanner Limit	2021	Zhiqi Bu Jason M. Klusowski Cynthia Rush Weijie Su
+	A Model of Double Descent for High-dimensional Binary Linear Classification	2019	Zeyu Deng Abla Kammoun Christos Thrampoulidis

Works Cited by This (38)

Action	Title	Year	Authors
+	SLOPE—Adaptive variable selection via convex optimization	2015	Małgorzata Bogdan E. van den Berg Chiara Sabatti Weijie Su Emmanuel J. Candès
+	Rényi Information Dimension: Fundamental Limits of Almost Lossless Analog Compression	2010	Yihong Wu Sergio Verdú
+ PDF Chat	High-Dimensional Centrally Symmetric Polytopes with Neighborliness Proportional to Dimension	2005	David L. Donoho
+	For most large underdetermined systems of linear equations the minimal 𝓁<sub>1</sub>‐norm solution is also the sparsest solution	2006	David L. Donoho
+	Upper-bounding $\ell_1$-optimization weak thresholds	2013	Mihailo Stojnic
+ PDF Chat	Simultaneous analysis of Lasso and Dantzig selector	2009	Peter J. Bickel Ya’acov Ritov Alexandre B. Tsybakov
+ PDF Chat	Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?	2006	Emmanuel J. Candès Terence Tao
+ PDF Chat	Minimax Rates of Estimation for High-Dimensional Linear Regression Over $\ell_q$-Balls	2011	Garvesh Raskutti Martin J. Wainwright Bin Yu
+	Sparse nonnegative solution of underdetermined linear equations by linear programming	2005	David L. Donoho Jared Tanner
+	ASYMPTOTIC APPROXIMATIONS TO INTEGRALS	1980