Maxi-Min discriminant analysis via online learning
Xu, Bo; Huang, Kaizhu; Liu, Cheng-Lin
发表期刊NEURAL NETWORKS
2012-10-01
卷号34页码:56-64
文章类型Article
摘要Linear Discriminant Analysis (LDA) is an important dimensionality reduction algorithm, but its performance is usually limited on multi-class data. Such limitation is incurred by the fact that LDA actually maximizes the average divergence among classes, whereby similar classes with smaller divergence tend to be merged in the subspace. To address this problem, we propose a novel dimensionality reduction method called Maxi-Min Discriminant Analysis (MMDA). In contrast to the traditional LDA, MMDA attempts to find a low-dimensional subspace by maximizing the minimal (worst-case) divergence among classes. This "minimal" setting overcomes the problem of LDA that tends to merge similar classes with smaller divergence when used for multi-class data. We formulate MMDA as a convex problem and further as a large-margin learning problem. One key contribution is that we design an efficient online learning algorithm to solve the involved problem, making the proposed method applicable to large scale data. Experimental results on various datasets demonstrate the efficiency and the efficacy of our proposed method against five other competitive approaches, and the scalability to the data with thousands of classes. (C) 2012 Elsevier Ltd. All rights reserved.
关键词Linear Discriminant Analysis Dimensionality Reduction Multi-category Classification Handwritten Chinese Character Recognition
WOS标题词Science & Technology ; Technology ; Life Sciences & Biomedicine
关键词[WOS]CHINESE CHARACTER-RECOGNITION ; DIMENSIONALITY REDUCTION ; OPTIMIZATION
收录类别SCI
语种英语
WOS研究方向Computer Science ; Neurosciences & Neurology
WOS类目Computer Science, Artificial Intelligence ; Neurosciences
WOS记录号WOS:000308842300007
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被引频次:15[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/3083
专题多模态人工智能系统全国重点实验室_模式分析与学习
作者单位Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
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Xu, Bo,Huang, Kaizhu,Liu, Cheng-Lin. Maxi-Min discriminant analysis via online learning[J]. NEURAL NETWORKS,2012,34:56-64.
APA Xu, Bo,Huang, Kaizhu,&Liu, Cheng-Lin.(2012).Maxi-Min discriminant analysis via online learning.NEURAL NETWORKS,34,56-64.
MLA Xu, Bo,et al."Maxi-Min discriminant analysis via online learning".NEURAL NETWORKS 34(2012):56-64.
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