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Structured sparsity through convex optimization
Francis Bach, Rodolphe Jenatton, Julien Mairal +1
Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. While naturally cast as a combinatorial optimization problem, variable or…
Optimization with Sparsity-Inducing Penalties
Francis Bach, Rodolphe Jenatton, Julien Mairal +1
Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extens…
Convex and Network Flow Optimization for Structured Sparsity
Julien Mairal, Rodolphe Jenatton, Guillaume Obozinski +1
We consider a class of learning problems regularized by a structured sparsity-inducing norm defined as the sum of l_2- or l_infinity-norms over groups of variables. Whereas much ef…