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A comprehensive and cutting-edge introduction to the foundations and modern applications of learning theory. Research has exploded in the field of machine learning resulting in complex mathematical arguments that are hard to grasp for new comers. . In this accessible textbook, Francis Bach presents the foundations and latest advances of learning theory for graduate students as well as researchers who want to acquire a basic mathematical understanding of the most widely used machine learning architectures. Taking the position that learning theory does not exist outside of algorithms that can be run in practice, this book focuses on the theoretical analysis of learning algorithms as it relates...
Reproduction of the original: Bach by C.F. Abdy Williams
Complete score of The Art of Fugue plus extensive commentary features all 14 fugues plus the four canons. The commentary outlines the fugues' contrapuntal devices and offers keen observations on the composer's craftsmanship.
This edition of Volume I of Bach's highly influential keyboard work features Sir Donald Francis Tovey's classic analyses of 24 preludes and 24 fugues, including suggestions for performance. A scholarly reference by a world-famous musicologist and Bach expert, this legendary, long-out-of-print version also contains Harold Samuel's fingerings for all pieces.
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 Optimization with Sparsity-Inducing Penalties 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.
In 1971 a curious new character appeared on the London academic scene, her name was Charlotte Bach. She was a former lecturer at the University of Budapest and she had a new theory of sex and evolution. At the height of her cult status, she would be compared to Einstein and Freud.