DC Field | Value | Language |
---|---|---|
dc.contributor.author | Shin, Yeonjong | ko |
dc.contributor.author | Xiu, Dongbin | ko |
dc.date.accessioned | 2022-07-06T02:00:53Z | - |
dc.date.available | 2022-07-06T02:00:53Z | - |
dc.date.created | 2022-07-06 | - |
dc.date.issued | 2016-12 | - |
dc.identifier.citation | JOURNAL OF COMPUTATIONAL PHYSICS, v.326, pp.931 - 946 | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | http://hdl.handle.net/10203/297256 | - |
dc.description.abstract | We present a sampling strategy of least squares polynomial regression. The strategy combines two recently developed methods for least squares method: Christoffel least squares algorithm and quasi-optimal sampling. More specifically, our new strategy first choose samples from the pluripotential equilibrium measure and then re-order the samples by the quasi-optimal algorithm. A weighted least squares problem is solved on a (much) smaller sample set to obtain the regression result. It is then demonstrated that the new strategy results in a polynomial least squares method with high accuracy and robust stability at almost minimal number of samples. (C) 2016 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | On a near optimal sampling strategy for least squares polynomial regression | - |
dc.type | Article | - |
dc.identifier.wosid | 000386067400048 | - |
dc.identifier.scopusid | 2-s2.0-84988815047 | - |
dc.type.rims | ART | - |
dc.citation.volume | 326 | - |
dc.citation.beginningpage | 931 | - |
dc.citation.endingpage | 946 | - |
dc.citation.publicationname | JOURNAL OF COMPUTATIONAL PHYSICS | - |
dc.identifier.doi | 10.1016/j.jcp.2016.09.032 | - |
dc.contributor.localauthor | Shin, Yeonjong | - |
dc.contributor.nonIdAuthor | Xiu, Dongbin | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Polynomial regression | - |
dc.subject.keywordAuthor | Least squares | - |
dc.subject.keywordAuthor | Christoffel function | - |
dc.subject.keywordPlus | EQUILIBRIUM MEASURES | - |
dc.subject.keywordPlus | BERGMAN KERNELS | - |
dc.subject.keywordPlus | PROJECTION | - |
dc.subject.keywordPlus | POINTS | - |
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