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Efficient Basis Change for Sparse-Grid Interpolating Polynomials with Application to T-Cell Sensitivity Analysis
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Sparse-grid interpolation provides good approximations to smooth functions in high dimensions based on relatively few function evaluations, but in standard form it is expressed in Lagrange polynomials.
Here, we give a block-diagonal factorization of the basis-change matrix to give an efficient conversion of a sparse-grid interpolant to a tensored orthogonal polynomial (or gPC) representation.
We describe how to use this representation to give an efficient method for estimating Sobol' sensitivity coefficients and apply this method to analyze and efficiently approximate a complex model of T-cell signaling events.
American Psychological Association (APA)
Buzzard, Gregery T.. 2013. Efficient Basis Change for Sparse-Grid Interpolating Polynomials with Application to T-Cell Sensitivity Analysis. Computational Biology Journal،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-480986
Modern Language Association (MLA)
Buzzard, Gregery T.. Efficient Basis Change for Sparse-Grid Interpolating Polynomials with Application to T-Cell Sensitivity Analysis. Computational Biology Journal No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-480986
American Medical Association (AMA)
Buzzard, Gregery T.. Efficient Basis Change for Sparse-Grid Interpolating Polynomials with Application to T-Cell Sensitivity Analysis. Computational Biology Journal. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-480986
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480986