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2006 JMLR JMLR 2006

Universal Kernels

Abstract

In this paper we investigate conditions on the features of a continuous kernel so that it may approximate an arbitrary continuous target function uniformly on any compact subset of the input space. A number of concrete examples are given of kernels with this universal approximating property. [abs] [ pdf ][ bib ] © JMLR 2006. (edit, beta)

🧭 Keyword Pioneer — universal approximating property
🐣 Hot Topic Early Bird — function approximation
🐝 Cross-Pollinator — Artificial Intelligence, Computer Science, Computer Vision, Data Science & Analytics, Deep Learning, Healthcare & Medicine, Interdisciplinary, Knowledge & Reasoning, Machine Learning, Mathematics & Optimization, Natural Language Processing, Reinforcement Learning, Robotics, Security & Privacy, Speech & Audio

Authors

Charles A. Micchelli , Yuesheng Xu , Haizhang Zhang

Topics

Machine Learning > Core Methods > Representation Learning Machine Learning > Optimization & Theory > Theory

Keywords

function approximation feature space kernel methods universal approximating property continuous kernel
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