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	Author	Fernando Vilariño; Debora Gil; Petia Radeva
	Title	A Novel FLDA Formulation for Numerical Stability Analysis			Type	Book Chapter
	Year	2004	Publication	Recent Advances in Artificial Intelligence Research and Development	Abbreviated Journal
	Volume	113	Issue		Pages	77-84
	Keywords	Supervised Learning; Linear Discriminant Analysis; Numerical Stability; Computer Vision
	Abstract	Fisher Linear Discriminant Analysis (FLDA) is one of the most popular techniques used in classification applying dimensional reduction. The numerical scheme involves the inversion of the within-class scatter matrix, which makes FLDA potentially ill-conditioned when it becomes singular. In this paper we present a novel explicit formulation of FLDA in terms of the eccentricity ratio and eigenvector orientations of the within-class scatter matrix. An analysis of this function will characterize those situations where FLDA response is not reliable because of numerical instability. This can solve common situations of poor classification performance in computer vision.
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	Corporate Author				Thesis
	Publisher	IOS Press	Place of Publication		Editor	J. Vitrià, P. Radeva and I. Aguiló
	Language		Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN		ISBN	978-1-58603-466-5	Medium
	Area		Expedition		Conference
	Notes	MV;IAM;MILAB;SIAI			Approved	no
	Call Number	IAM @ iam @ VGR2004			Serial	1663
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