Dimensionality reduction methods play an important role in face recognition. Principal component analysis(PCA) and two-dimensional principal component analysis(2DPCA) are two kinds of important methods in this field. ...Dimensionality reduction methods play an important role in face recognition. Principal component analysis(PCA) and two-dimensional principal component analysis(2DPCA) are two kinds of important methods in this field. Recent research seems like that 2DPCA method is superior to PCA method. To prove if this conclusion is always true, a comprehensive comparison study between PCA and 2DPCA methods was carried out. A novel concept, called column-image difference(CID), was proposed to analyze the difference between PCA and 2DPCA methods in theory. It is found that there exist some restrictive conditions when2 DPCA outperforms PCA. After theoretical analysis, the experiments were conducted on four famous face image databases. The experiment results confirm the validity of theoretical claim.展开更多
Driven by the challenge of integrating large amount of experimental data, classification technique emerges as one of the major and popular tools in computational biology and bioinformatics research. Machine learning m...Driven by the challenge of integrating large amount of experimental data, classification technique emerges as one of the major and popular tools in computational biology and bioinformatics research. Machine learning methods, especially kernel methods with Support Vector Machines （SVMs） are very popular and effective tools. In the perspective of kernel matrix, a technique namely Eigen- matrix translation has been introduced for protein data classification. The Eigen-matrix translation strategy has a lot of nice properties which deserve more exploration. This paper investigates the major role of Eigen-matrix translation in classification. The authors propose that its importance lies in the dimension reduction of predictor attributes within the data set. This is very important when the dimension of features is huge. The authors show by numerical experiments on real biological data sets that the proposed framework is crucial and effective in improving classification accuracy. This can therefore serve as a novel perspective for future research in dimension reduction problems.展开更多
核主成分分析(Kernel principal component analysis,KPCA)是一种非线性降维工具,在降低数据流分类处理量方面发挥着积极作用.然而,由于复杂性太高,导致KPCA的降维能力有限.为此,本文给出了一种增量核主成分分析算法(Incremental KPCA f...核主成分分析(Kernel principal component analysis,KPCA)是一种非线性降维工具,在降低数据流分类处理量方面发挥着积极作用.然而,由于复杂性太高,导致KPCA的降维能力有限.为此,本文给出了一种增量核主成分分析算法(Incremental KPCA for dimensionality-reduction,IKDR),该算法在每步迭代估计中只需线性内存开销,大大降低了复杂性.在IKDR的基础上,结合BP(Back propagation)神经网络提出了数据流在线分类框架:IKOCFrame(Online classificationframe based on IKDR).通过一系列真实和人工数据集上的实验,检验了IKDR算法的收敛性,并且验证了IKOCFrame相对于同类基于成分分析的分类算法的优越性.展开更多
基金Projects(50275150,61173052)supported by the National Natural Science Foundation of China
文摘Dimensionality reduction methods play an important role in face recognition. Principal component analysis(PCA) and two-dimensional principal component analysis(2DPCA) are two kinds of important methods in this field. Recent research seems like that 2DPCA method is superior to PCA method. To prove if this conclusion is always true, a comprehensive comparison study between PCA and 2DPCA methods was carried out. A novel concept, called column-image difference(CID), was proposed to analyze the difference between PCA and 2DPCA methods in theory. It is found that there exist some restrictive conditions when2 DPCA outperforms PCA. After theoretical analysis, the experiments were conducted on four famous face image databases. The experiment results confirm the validity of theoretical claim.
基金supported by Research Grants Council of Hong Kong under Grant No.17301214HKU CERG Grants,Fundamental Research Funds for the Central Universities+2 种基金the Research Funds of Renmin University of ChinaHung Hing Ying Physical Research Grantthe Natural Science Foundation of China under Grant No.11271144
文摘Driven by the challenge of integrating large amount of experimental data, classification technique emerges as one of the major and popular tools in computational biology and bioinformatics research. Machine learning methods, especially kernel methods with Support Vector Machines （SVMs） are very popular and effective tools. In the perspective of kernel matrix, a technique namely Eigen- matrix translation has been introduced for protein data classification. The Eigen-matrix translation strategy has a lot of nice properties which deserve more exploration. This paper investigates the major role of Eigen-matrix translation in classification. The authors propose that its importance lies in the dimension reduction of predictor attributes within the data set. This is very important when the dimension of features is huge. The authors show by numerical experiments on real biological data sets that the proposed framework is crucial and effective in improving classification accuracy. This can therefore serve as a novel perspective for future research in dimension reduction problems.
文摘核主成分分析(Kernel principal component analysis,KPCA)是一种非线性降维工具,在降低数据流分类处理量方面发挥着积极作用.然而,由于复杂性太高,导致KPCA的降维能力有限.为此,本文给出了一种增量核主成分分析算法(Incremental KPCA for dimensionality-reduction,IKDR),该算法在每步迭代估计中只需线性内存开销,大大降低了复杂性.在IKDR的基础上,结合BP(Back propagation)神经网络提出了数据流在线分类框架:IKOCFrame(Online classificationframe based on IKDR).通过一系列真实和人工数据集上的实验,检验了IKDR算法的收敛性,并且验证了IKOCFrame相对于同类基于成分分析的分类算法的优越性.
