Optimization with Sparsity-Inducing Penalties (Foundations and Trends (R) in Machine Learning)

by Francis Bach, Rodolph Jenatton, Julien Mairal, and Guillaume Obozinski

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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 extensions have now emerged such as structured sparsity or kernel selection. It turns out that many of the related estimation problems can be cast as convex optimization problems by regularizing the empirical risk with appropriate nonsmooth norms.

Optimization with Sparsity-Inducing Penalties presents optimization tools and techniques dedicated to such sparsity-inducing penalties from a general perspective. It covers proximal methods, block-coordinate descent, reweighted ?2-penalized techniques, working-set and homotopy methods, as well as non-convex formulations and extensions, and provides an extensive set of experiments to compare various algorithms from a computational point of view.

The presentation of this book is essentially based on existing literature, but the process of constructing a general framework leads naturally to new results, connections and points of view. It is an ideal reference on the topic for anyone working in machine learning and related areas.
  • ISBN13 9781601985101
  • Publish Date 4 January 2012
  • Publish Status Active
  • Publish Country US
  • Imprint now publishers Inc