{"product_id":"tensor-networks-for-dimensionality-reduction-and-large-scale-optimization-part-2-applications-and-future-perspectives-9781680832761","title":"Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 2 Applications and Future Perspectives","description":"\u003cp\u003eThis monograph builds on \u003cem\u003eTensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions\u003c\/em\u003e by discussing tensor network models for super-compressed higher-order representation of data\/parameters and cost functions, together with an outline of their applications in machine learning and data analytics. A particular emphasis is on elucidating, through graphical illustrations, that by virtue of the underlying low-rank tensor approximations and sophisticated contractions of core tensors, tensor networks have the ability to perform distributed computations on otherwise prohibitively large volume of data\/parameters, thereby alleviating the curse of dimensionality. The usefulness of this concept is illustrated over a number of applied areas, including generalized regression and classification, generalized eigenvalue decomposition and in the optimization of deep neural networks. The monograph focuses on tensor train (TT) and Hierarchical Tucker (HT) decompositions and their extensions, and on demonstrating the ability of tensor networks to provide scalable solutions for a variety of otherwise intractable large-scale optimization problems.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eTensor Networks for Dimensionality Reduction and Large-scale Optimization\u003c\/em\u003e Parts 1 and 2 can be used as stand-alone texts, or together as a comprehensive review of the exciting field of low-rank tensor networks and tensor decompositions.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eSee also: \u003cem\u003eTensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions. \u003c\/em\u003eISBN 978-1-68083-222-8\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-536399\"\u003eAndrzej Cichocki\u003c\/a\u003e, \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-10854263\"\u003eNamgil Lee\u003c\/a\u003e, \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-10151503\"\u003eIvan Oseledets\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Now Publishers\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/30\/2017\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 262\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.82lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.55d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9781680832761\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 168083276X\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-COM\"\u003eComputers\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-COM014000\"\u003eComputer Science\u003c\/a\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-COM\"\u003eComputers\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-COM037000\"\u003eMachine Theory\u003c\/a\u003e\u003cbr\u003e","brand":"Now Publishers","offers":[{"title":"Default Title","offer_id":44696322539757,"sku":"9781680832761","price":132.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_accce375-7696-4619-99ee-2650a56e4405.jpg?v=1703797121","url":"https:\/\/sureshotbooks.com\/es\/products\/tensor-networks-for-dimensionality-reduction-and-large-scale-optimization-part-2-applications-and-future-perspectives-9781680832761","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}