6.4k citations · 14.8k across the 73 of their papers we have counts for
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Correlated variables in regression: clustering and sparse estimation
Peter Bühlmann, Philipp Rütimann, Sara van de Geer +1
We consider estimation in a high-dimensional linear model with strongly correlated variables. We propose to cluster the variables first and do subsequent sparse estimation such as…
Hypersurfaces and their singularities in partial correlation testing
Shaowei Lin, Caroline Uhler, Bernd Sturmfels +1
An asymptotic theory is developed for computing volumes of regions in the parameter space of a directed Gaussian graphical model that are obtained by bounding partial correlations.…
-penalized maximum likelihood for sparse directed acyclic graphs
Sara van de Geer, Peter Bühlmann
We consider the problem of regularized maximum likelihood estimation for the structure and parameters of a high-dimensional, sparse directed acyclic graphical (DAG) model with Gaus…
Two Optimal Strategies for Active Learning of Causal Models from Interventional Data
Alain Hauser, Peter Bühlmann
From observational data alone, a causal DAG is only identifiable up to Markov equivalence. Interventional data generally improves identifiability; however, the gain of an intervent…
L1-Penalization for Mixture Regression Models
Nicolas Städler, Peter Bühlmann, Sara van de Geer
We consider a finite mixture of regressions (FMR) model for high-dimensional inhomogeneous data where the number of covariates may be much larger than sample size. We propose an l1…
Introduction to the Lehmann special section
Peter Bühlmann, Tony Cai
The current Special Issue of The Annals of Statistics contains three invited articles. Javier Rojo discusses Erich's scientific achievements and provides complete lists of his scie…