{"product_id":"symmetric-neural-networks-theory-9789810898106","title":"Symmetric Neural Networks Theory","description":"\u003cp\u003eSymmetric functions, which take as input an unordered, fixed-size s et, find practical application in myriad physical settings based on indistinguishable points or particles, and are also used as intermediate building blocks to construct networks with other invariances. Symmetric functions\u003c\/p\u003e\u003cp\u003eare known to be universally representable by neural networks that enforce permutation invariance. However the theoretical tools that characterize the approximation, optimization and generalization of typical networks fail to adequately characterize architectures that enforce invariance.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Shetty Publishers\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/13\/2024\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9789810898106\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 142\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.44lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.30d","brand":"Seymour L. Purvis","offers":[{"title":"Default Title","offer_id":51280805855413,"sku":"9789810898106","price":24.65,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/files\/img_e1447a3d-11a9-4820-9559-2d33f58d5c4b.jpg?v=1751469129","url":"https:\/\/pastforward.org\/products\/symmetric-neural-networks-theory-9789810898106","provider":"Past Forward","version":"1.0","type":"link"}