Novel meshes for multivariate interpolation and approximation

Thomas C.H. Lux, Li Xu, Layne T. Watson, Godmar Back, Ali R. Butt, Kirk W. Cameron, Danfeng Yao, Tyler H. Chang, Jon Bernard, Bo Li, Xiaodong Yu, Yili Hong

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

A rapid increase in the quantity of data available is allowing all fields of science to generate more accurate models of multivariate phenomena. Regression and interpolation become challenging when the dimension of data is large, especially while maintaining tractable computational complexity. This paper proposes three novel techniques for multivariate interpolation and regression that each have polynomial complexity with respect to number of instances (points) and number of attributes (dimension). Initial results suggest that these techniques are capable of effectively modeling multivariate phenomena while maintaining flexibility in different application domains.

Original languageEnglish
Title of host publicationProceedings of the ACMSE 2018 Conference
ISBN (Electronic)9781450356961
DOIs
StatePublished - 29 Mar 2018
Event2018 Annual ACM Southeast Conference, ACMSE 2018 - Richmond, United States
Duration: 29 Mar 201831 Mar 2018

Publication series

NameProceedings of the ACMSE 2018 Conference
Volume2018-January

Conference

Conference2018 Annual ACM Southeast Conference, ACMSE 2018
Country/TerritoryUnited States
CityRichmond
Period29/03/1831/03/18

Keywords

  • Approximation
  • Interpolation
  • Multivariate
  • Regression
  • Splines

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