133 citations · 139 across the 3 of their papers we have counts for
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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…