An Approximation Method of the Quadratic Discriminant Function and Its Application to Estimation of High-Dimensional Distribution(<Special Section>Image Recognition and Understanding)
スポンサーリンク
概要
- 論文の詳細を見る
In statistical pattern recognition, it is important to estimate the distribution of patterns precisely to achieve high recognition accuracy. In general, precise estimation of the parameters of the distribution requires a great number of sample patterns, especially when the feature vector obtained from the pattern is high-dimensional. For some pattern recognition problems, such as face recognition or character recognition, very high-dimensional feature vectors are necessary and there are always not enough sample patterns for estimating the parameters. In this paper, we focus on estimating the distribution of high-dimensional feature vectors with small number of sample patterns. First, we define a function, called simplified quadratic discriminant function (SQDF). SQDF can be estimated with small number of sample patterns and approximates the quadratic discriminant function (QDF). SQDF has fewer parameters and requires less computational time than QDF. The effectiveness of SQDF is confirmed by three types of experiments. Next, as an application of SQDF, we propose an algorithm for estimating the parameters of the normal mixture. The proposed algorithm is applied to face recognition and character recognition problems which require high-dimensional feature vectors.
- 社団法人電子情報通信学会の論文
- 2007-08-01
著者
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Omachi Shinichiro
Graduate School Of Engineering Tohoku University
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Omachi Shinichiro
Tohoku Univ. Sendai‐shi Jpn
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Omachi Shinichiro
Department Of Electrical And Communication Engineering Graduate School Of Engineering Tohoku Univers
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OMACHI Masako
Faculty of Science and Technology, Tohoku Bunka Gakuen University
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ASO Hirotomo
Graduate School of Engineering, Tohoku University
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ASO Hirotomo
College of Engineering, Nihon University
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Aso Hirotomo
Nihon Univ.
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Aso Hirotomo
Graduate School Of Engineering Tohoku University
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Omachi Masako
Faculty Of Science And Technology Tohoku Bunka Gakuen University
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Omachi Masako
Tohoku Bunka Gakuen Univ. Sendai‐shi Jpn
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