{"title":"Approximation Properties of Ridge Functions and Extreme Learning Machines","authors":"P. Jorgensen, D. Stewart","doi":"10.1137/20m1356348","DOIUrl":null,"url":null,"abstract":"For a compact set $D\\subset\\mathbb{R}^{m}$ we consider the problem of approximating a function $f$ over $D$ by sums of ridge functions ${x}\\mapsto\\varphi({w}^{T}{x})$ with ${w}$ in a given set $\\ma...","PeriodicalId":74797,"journal":{"name":"SIAM journal on mathematics of data science","volume":"100 1","pages":"815-832"},"PeriodicalIF":1.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM journal on mathematics of data science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/20m1356348","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 2
Abstract
For a compact set $D\subset\mathbb{R}^{m}$ we consider the problem of approximating a function $f$ over $D$ by sums of ridge functions ${x}\mapsto\varphi({w}^{T}{x})$ with ${w}$ in a given set $\ma...
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