133 citations · 139 across the 3 of their papers we have counts for
5 papers
A Unified Framework for Pattern Recovery in Penalized and Thresholded Estimation and its Geometry
Piotr Graczyk, Ulrike Schneider, Tomasz Skalski +1
We consider the framework of penalized estimation where the penalty term is given by a real-valued polyhedral gauge, which encompasses methods such as LASSO, generalized LASSO, SLO…
Pattern recovery by SLOPE
Małgorzata Bogdan, Xavier Dupuis, Piotr Graczyk +4
SLOPE is a popular method for dimensionality reduction in the high-dimensional regression. Indeed some regression coefficient estimates of SLOPE can be null (sparsity) or can be eq…
The Geometry of Uniqueness, Sparsity and Clustering in Penalized Estimation
Ulrike Schneider, Patrick Tardivel
We provide a necessary and sufficient condition for the uniqueness of penalized least-squares estimators whose penalty term is given by a norm with a polytope unit ball, covering a…
On the sign recovery by LASSO, thresholded LASSO and thresholded Basis Pursuit Denoising
Patrick J. C. Tardivel, Malgorzata Bogdan
Basis Pursuit (BP), Basis Pursuit DeNoising (BPDN), and LASSO are popular methods for identifying important predictors in the high-dimensional linear regression model, i.e. when th…
Create, run, share, publish, and reference your LC-MS, FIA-MS, GC-MS, and NMR data analysis workflows with the Workflow4Metabolomics 3.0 Galaxy online infrastructure for metabolomics
Yann Guitton, Marie Tremblay-Franco, Gildas Le Corguillé +13
Metabolomics is a key approach in modern functional genomics and systems biology. Due to the complexity of metabolomics data, the variety of experimental designs, and the variety o…