Extended cauchy{schwarz inequality and its application for the two-class fisher discriminant analysis

MACIEJ SABLIK; KATARZYNA STAPOR

doi:10.1556/012.2020.57.4.1474

Extended cauchy{schwarz inequality and its application for the two-class fisher discriminant analysis

MACIEJ SABLIK
, KATARZYNA STAPOR

Department of Applied Informatics (RAU/RAU7)

University of Silesia in Katowice

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

Abstract

We present the sufficient condition for a classical two-class problem from Fisher discriminant analysis has a solution. Actually, the solution was presented up to our knowledge with a necessary condition only. We use an extended Cauchy{Schwarz inequality as a tool.

Original language	English
Pages (from-to)	427-435
Number of pages	9
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	57
Issue number	4
DOIs	https://doi.org/10.1556/012.2020.57.4.1474
Publication status	Published - Dec 2020

Keywords

Cauchy- Schwarz inequality
Classifier
Two-class Fisher discriminant analysis

ASJC Scopus subject areas

General Mathematics

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10.1556/012.2020.57.4.1474

Cite this

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title = "Extended cauchy\{schwarz inequality and its application for the two-class fisher discriminant analysis",

abstract = "We present the sufficient condition for a classical two-class problem from Fisher discriminant analysis has a solution. Actually, the solution was presented up to our knowledge with a necessary condition only. We use an extended Cauchy\{Schwarz inequality as a tool.",

keywords = "Cauchy- Schwarz inequality, Classifier, Two-class Fisher discriminant analysis",

author = "MACIEJ SABLIK and KATARZYNA STAPOR",

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year = "2020",

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AU - SABLIK, MACIEJ

AU - STAPOR, KATARZYNA

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AB - We present the sufficient condition for a classical two-class problem from Fisher discriminant analysis has a solution. Actually, the solution was presented up to our knowledge with a necessary condition only. We use an extended Cauchy{Schwarz inequality as a tool.

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KW - Classifier

KW - Two-class Fisher discriminant analysis

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DO - 10.1556/012.2020.57.4.1474

M3 - Article

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JO - Studia Scientiarum Mathematicarum Hungarica

JF - Studia Scientiarum Mathematicarum Hungarica

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Extended cauchy{schwarz inequality and its application for the two-class fisher discriminant analysis

Abstract

Keywords

ASJC Scopus subject areas

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