{"product_id":"improved-classification-rates-for-localized-algorithms-under-margin-conditions-von-ingrid-karin-blaschzyk","title":"Improved Classification Rates for Localized Algorithms under Margin Conditions","description":"Support vector machines (SVMs) are one of the most successful algorithms on small and medium-sized data sets, but on large-scale data sets their training and predictions become computationally infeasible. The author considers a spatially defined data chunking method for large-scale learning problems, leading to so-called localized SVMs, and implements an in-depth mathematical analysis with theoretical guarantees, which in particular include classification rates. The statistical analysis relies on a new and simple partitioning based technique and takes well-known margin conditions into account that describe the behavior of the data-generating distribution. It turns out that the rates outperform known rates of several other learning algorithms under suitable sets of assumptions. From a practical point of view, the author shows that a common training and validation procedure achieves the theoretical rates adaptively, that is, without knowing the margin parameters in advance.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783658295905\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783658295905","offer_id":39448129110109,"sku":"9783658295905","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/67b37774-9e21-4436-91cd-66a3d6f51acd.jpg?v=1772174476","url":"https:\/\/shop.autorenwelt.de\/products\/improved-classification-rates-for-localized-algorithms-under-margin-conditions-von-ingrid-karin-blaschzyk","provider":"Autorenwelt Shop","version":"1.0","type":"link"}