Orbits of A Group Action as Optimal Designs

Michael M. Schein

doi:10.1007/s00009-013-0343-4

Orbits of A Group Action as Optimal Designs

Michael M. Schein

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

To determine an unknown function belonging to a known n-dimensional space, it suffices to evaluate the function at n generic points. We apply the character theory of finite groups towards finding optimal designs of such points.

Original language	English
Pages (from-to)	89-96
Number of pages	8
Journal	Mediterranean Journal of Mathematics
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s00009-013-0343-4
State	Published - Feb 2014

Keywords

Optimal design
character theory

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00009-013-0343-4

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title = "Orbits of A Group Action as Optimal Designs",

abstract = "To determine an unknown function belonging to a known n-dimensional space, it suffices to evaluate the function at n generic points. We apply the character theory of finite groups towards finding optimal designs of such points.",

keywords = "Optimal design, character theory",

author = "Schein, {Michael M.}",

note = "Funding Information: This work was supported by German–Israeli Foundation for Scientific Research and Development grant 2264/2010 and by a grant from the Pollack Family Foundation.",

year = "2014",

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doi = "10.1007/s00009-013-0343-4",

language = "الإنجليزيّة",

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N1 - Funding Information: This work was supported by German–Israeli Foundation for Scientific Research and Development grant 2264/2010 and by a grant from the Pollack Family Foundation.

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N2 - To determine an unknown function belonging to a known n-dimensional space, it suffices to evaluate the function at n generic points. We apply the character theory of finite groups towards finding optimal designs of such points.

AB - To determine an unknown function belonging to a known n-dimensional space, it suffices to evaluate the function at n generic points. We apply the character theory of finite groups towards finding optimal designs of such points.

KW - Optimal design

KW - character theory

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U2 - 10.1007/s00009-013-0343-4

DO - 10.1007/s00009-013-0343-4

M3 - مقالة

SN - 1660-5446

VL - 11

SP - 89

EP - 96

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 1

ER -

Orbits of A Group Action as Optimal Designs

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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