{"title":"Addressing Common Misinterpretations of KART and UAT in Neural Network Literature","authors":"Vugar Ismailov","doi":"arxiv-2408.16389","DOIUrl":null,"url":null,"abstract":"This note addresses the Kolmogorov-Arnold Representation Theorem (KART) and\nthe Universal Approximation Theorem (UAT), focusing on their common\nmisinterpretations in some papers related to neural network approximation. Our\nremarks aim to support a more accurate understanding of KART and UAT among\nneural network specialists.","PeriodicalId":501347,"journal":{"name":"arXiv - CS - Neural and Evolutionary Computing","volume":"37 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Neural and Evolutionary Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.16389","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This note addresses the Kolmogorov-Arnold Representation Theorem (KART) and
the Universal Approximation Theorem (UAT), focusing on their common
misinterpretations in some papers related to neural network approximation. Our
remarks aim to support a more accurate understanding of KART and UAT among
neural network specialists.
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