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Novel meshes for multivariate interpolation and approximation

Published: 29 March 2018 Publication History

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.

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cover image ACM Conferences
ACMSE '18: Proceedings of the 2018 ACM Southeast Conference
March 2018
246 pages
ISBN:9781450356961
DOI:10.1145/3190645
  • Conference Chair:
  • Ka-Wing Wong,
  • Program Chair:
  • Chi Shen,
  • Publications Chair:
  • Dana Brown
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Publication History

Published: 29 March 2018

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Author Tags

  1. approximation
  2. interpolation
  3. multivariate
  4. regression
  5. splines

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  • Research-article

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ACM SE '18
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ACM SE '18: Southeast Conference
March 29 - 31, 2018
Kentucky, Richmond

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ACMSE '18 Paper Acceptance Rate 34 of 41 submissions, 83%;
Overall Acceptance Rate 502 of 1,023 submissions, 49%

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