A note on the optimality of the Karhunen-Loeve expansion

Jerome P. Keating; Joel E. Michalek; James T. Riley

doi:10.1016/0167-8655(83)90025-9

A note on the optimality of the Karhunen-Loeve expansion

Jerome P. Keating
, Joel E. Michalek
, James T. Riley

Department of Population Health Sciences

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

2 Scopus citations

Abstract

A simple proof of the optimality of the Karhunen-Loeve expansion, which is prominent in pattern recognition, is established through an application of the Poincaré Separation Theorem.

Original language	English (US)
Pages (from-to)	203-204
Number of pages	2
Journal	Pattern Recognition Letters
Volume	1
Issue number	4
DOIs	https://doi.org/10.1016/0167-8655(83)90025-9
State	Published - May 1983

Keywords

Entropy
mean squared error

ASJC Scopus subject areas

Software
Signal Processing
Computer Vision and Pattern Recognition
Artificial Intelligence

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10.1016/0167-8655(83)90025-9

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title = "A note on the optimality of the Karhunen-Loeve expansion",

abstract = "A simple proof of the optimality of the Karhunen-Loeve expansion, which is prominent in pattern recognition, is established through an application of the Poincar{\'e} Separation Theorem.",

keywords = "Entropy, mean squared error",

author = "Keating, \{Jerome P.\} and Michalek, \{Joel E.\} and Riley, \{James T.\}",

year = "1983",

month = may,

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AU - Keating, Jerome P.

AU - Michalek, Joel E.

AU - Riley, James T.

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N2 - A simple proof of the optimality of the Karhunen-Loeve expansion, which is prominent in pattern recognition, is established through an application of the Poincaré Separation Theorem.

AB - A simple proof of the optimality of the Karhunen-Loeve expansion, which is prominent in pattern recognition, is established through an application of the Poincaré Separation Theorem.

KW - Entropy

KW - mean squared error

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UR - https://www.scopus.com/pages/publications/48749143341#tab=citedBy

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DO - 10.1016/0167-8655(83)90025-9

M3 - Article

AN - SCOPUS:48749143341

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VL - 1

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JO - Pattern Recognition Letters

JF - Pattern Recognition Letters

IS - 4

ER -

A note on the optimality of the Karhunen-Loeve expansion

Abstract

Keywords

ASJC Scopus subject areas

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