Further insights into subspace methods with applications in face recognition

Subspace methods such as Linear Discriminant Analysis (LDA) are efficient in dimension reduction and statistical feature extraction. They are widely applied to multi-class pattern classification problems, such as face recognition, which often involve high dimensional and large data set. In this thes...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Zhu, Yan
مؤلفون آخرون: Sung Eric
التنسيق: Theses and Dissertations
اللغة:English
منشور في: 2009
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/15161
الوسوم: إضافة وسم
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المؤسسة: Nanyang Technological University
اللغة: English
id sg-ntu-dr.10356-15161
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spelling sg-ntu-dr.10356-151612023-07-04T17:27:14Z Further insights into subspace methods with applications in face recognition Zhu, Yan Sung Eric School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Biometrics Subspace methods such as Linear Discriminant Analysis (LDA) are efficient in dimension reduction and statistical feature extraction. They are widely applied to multi-class pattern classification problems, such as face recognition, which often involve high dimensional and large data set. In this thesis, we provide further insights into the subspace methods to resolve some prolonged issues. Firstly, we propose the Margin-Maximization Discriminant Analysis (MMDA) based on an additive-form of discriminant function, which can extract features that approximately maximize the average projected margin between the classes. Secondly, an analytical relevance measure of subspace feature vectors is derived and used to weigh the LDA features. This leads to a scheme called Relevance-Weighted Discriminant Analysis (RWDA). It completely eliminates the peaking phenomenon of LDA and also suggests a new insight into the root cause of overfitting for classifiers using distance metric. Finally, 2D subspace methods which represent images as 2D matrices are investigated, in order to tackle the computation intractability of large-scale pattern classification problems. DOCTOR OF PHILOSOPHY (EEE) 2009-04-08T00:56:25Z 2009-04-08T00:56:25Z 2009 2009 Thesis Zhu, Y. (2009). Further insights into subspace methods with applications in face recognition. Doctoral thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/15161 10.32657/10356/15161 en 130 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Biometrics
spellingShingle DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Biometrics
Zhu, Yan
Further insights into subspace methods with applications in face recognition
description Subspace methods such as Linear Discriminant Analysis (LDA) are efficient in dimension reduction and statistical feature extraction. They are widely applied to multi-class pattern classification problems, such as face recognition, which often involve high dimensional and large data set. In this thesis, we provide further insights into the subspace methods to resolve some prolonged issues. Firstly, we propose the Margin-Maximization Discriminant Analysis (MMDA) based on an additive-form of discriminant function, which can extract features that approximately maximize the average projected margin between the classes. Secondly, an analytical relevance measure of subspace feature vectors is derived and used to weigh the LDA features. This leads to a scheme called Relevance-Weighted Discriminant Analysis (RWDA). It completely eliminates the peaking phenomenon of LDA and also suggests a new insight into the root cause of overfitting for classifiers using distance metric. Finally, 2D subspace methods which represent images as 2D matrices are investigated, in order to tackle the computation intractability of large-scale pattern classification problems.
author2 Sung Eric
author_facet Sung Eric
Zhu, Yan
format Theses and Dissertations
author Zhu, Yan
author_sort Zhu, Yan
title Further insights into subspace methods with applications in face recognition
title_short Further insights into subspace methods with applications in face recognition
title_full Further insights into subspace methods with applications in face recognition
title_fullStr Further insights into subspace methods with applications in face recognition
title_full_unstemmed Further insights into subspace methods with applications in face recognition
title_sort further insights into subspace methods with applications in face recognition
publishDate 2009
url https://hdl.handle.net/10356/15161
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