Download Distributed Optimi...

Neal Parikh

Format: Paperback

Language: English

Pages: 140

Publisher: Now Publishers Inc (May 23, 2011)

ISBN: 160198460X

Format: PDF / Kindle / ePub

Size: 7.1 MB

Downloadable formats: PDF

Many difficulties of modern curiosity in records and desktop studying should be posed within the framework of convex optimization. as a result explosion in dimension and complexity of recent datasets, it really is more and more very important in an effort to clear up issues of a truly huge variety of gains or education examples. accordingly, either the decentralized assortment or garage of those datasets in addition to accompanying disbursed answer tools are both important or no less than hugely fascinating. allotted Optimization and Statistical studying through the Alternating course approach to Multipliers argues that the alternating course approach to multipliers is definitely fitted to disbursed convex optimization, and specifically to large-scale difficulties bobbing up in records, computing device studying, and similar parts. the strategy was once built within the Seventies, with roots within the Fifties, and is an identical or heavily concerning many different algorithms, reminiscent of twin decomposition, the tactic of multipliers, Douglas-Rachford splitting, Spingarn's approach to partial inverses, Dykstra's alternating projections, Bregman iterative algorithms for ℓ1 difficulties, proximal tools, and others. After in short surveying the idea and heritage of the set of rules, it discusses purposes to a large choice of statistical and computing device studying difficulties of contemporary curiosity, together with the lasso, sparse logistic regression, foundation pursuit, covariance choice, help vector machines, etc. It additionally discusses basic dispensed optimization, extensions to the nonconvex environment, and effective implementation, together with a few information on allotted MPI and Hadoop MapReduce implementations

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