{"product_id":"dimensionality-reduction-for-classification-with-siva-tian-9783639288681","title":"Dimensionality Reduction for Classification with High-Dimensional Data","description":"High-dimensional data refers to data with a large number of variables. Classifying these data is a difficult problem because the enormous number of variables poses challenges to conventional classification methods and renders many classical techniques impractical. A natural solution is to add a dimensionality reduction step before a classification technique is applied. We Propose three methods to deal with this problem: a simulated annealing (SA) based method, a multivariate adaptive stochastic search (MASS) method, and a functional adaptive classification (FAC) method. The third method considers functional predictors. They all utilize stochastic search algorithms to select a handful of optimal transformation directions from a large number of random directions in each iteration. These methods are designed to mimic variable selection type methods, such as the Lasso, or variable combination methods, such as PCA, or a method that combines the two approaches. We demonstrate the strengths of our methods on an extensive range of simulation and real-world studies.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Siva Tian\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3639288688\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783639288681\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e VDM Verlag\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/25\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 124\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.42lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.29d","brand":"Siva Tian","offers":[{"title":"Paperback","offer_id":47424585892095,"sku":"9783639288681","price":63.72,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_a960b5e8-307c-4feb-b6fa-ed662483cdb4.jpg?v=1761531212","url":"https:\/\/www.whiterainbookhouse.com\/products\/dimensionality-reduction-for-classification-with-siva-tian-9783639288681","provider":"WR Book House","version":"1.0","type":"link"}