新颖人脸检测的核方法

核主成分分析（kernel PCA）是PCA的非线性扩展。该研究将kernel PCA应用于新颖人脸检测。作为训练数据的人脸图像被映射到高维特征空间。在特征空间中,kernel PCA抽取数据分布的主成分,构成主子空间。在该子空间中,通过优化方法寻找包含训练数据的最小超平面,作为新颖检测的决策界面。该新方法在ORL人脸图像库的数据集中进行了实验,测试精度较线性PCA方法有所提高。     

非线性特征提取和LSSVM在化工过程故障诊断中应用

提出利用非线性特征提取（核主成分分析（KPCA）和核独立成分分析）消除数据的不相关性,降低维数。核主成分分析利用核函数把输入数据映射到特征空间,进行线性主成分分析计算提取特征;核独立成分分析在KPCA白化空间进行线性独立成分分析（ICA）变换提取独立成分。提取的特征作为最小二乘支持向量机分类器的输入,构建融合非线性特征提取和最小二乘支持向量机的智能故障分类方法。研究了该方法应用到某石化企业润滑油生产过程的故障诊断中的有效性和可行性。     

Online identification of nonlinear system using reduced kernel principal component analysis

The Principal Component Analysis (PCA) is a powerful technique for extracting structure from possibly high-dimensional data sets. It is readily performed by solving an eigenvalue problem, or by using iterative algorithms that estimate principal components. This paper proposes a new method for online identification of a nonlinear system modelled on Reproducing Kernel Hilbert Space (RKHS). Therefore, the PCA technique is tuned twice, first we exploit the Kernel PCA (KPCA) which is a nonlinear extension of the PCA to RKHS as it transforms the input data by a nonlinear mapping into a high-dimensional feature space to which the PCA is performed. Second, we use the Reduced Kernel Principal Component Analysis (RKPCA) to update the principal components that represent the observations selected by the KPCA method.     

一种融合KPCA和KDA的人脸识别新方法

核判别分析（KDA）和核主成分分析（KPCA）分别是线性判别分析（LDA）和主成分分析（PCA）在核空间中的非线性推广,提出了一种融合KDA和KPCA的特征提取方法并应用于人脸识别中,该方法综合利用KDA和KPCA 的优点来提高人脸识别的性能。此外,还提出了一种广义最近特征线(GNFL)方法来构造有效的分类器。实验结果证明：提出的方法获得了更好的识别结果。     

概率核主成分分析及其应用

主成分分析（PCA）、核主成分分析（KPCA）和概率主成分分析（PPCA）是已经取得广泛应用的特征提取方法。提出一种基于概率核主成分分析（PKPCA）的检测液晶屏幕亮点的方法。作为对PPCA的一种非线性扩展,PKPCA在PPCA的基础上引入了核函数方法,因而其捕获模式非线性特征的能力更强。在KPCA和PPCA的基础上推导了PKPCA过程公式,并在检测液晶屏幕亮点的应用中将PKPCA、PPCA、PCA算法进行比较。实验结果表明,PKPCA的检测率和局部信噪比优于其他两者。     

Detecting influential observations in Kernel PCA

Kernel Principal Component Analysis extends linear PCA from a Euclidean space to any reproducing kernel Hilbert space. Robustness issues for Kernel PCA are studied. The sensitivity of Kernel PCA to individual observations is characterized by calculating the influence function. A robust Kernel PCA method is proposed by incorporating kernels in the Spherical PCA algorithm. Using the scores from Spherical Kernel PCA, a graphical diagnostic is proposed to detect points that are influential for ordinary Kernel PCA.     

核参数判别选择方法在核主元分析中的应用

针对核主元分析(KPCA)中高斯核参数β的经验选取问题,提出了核主元分析的核参数判别选择方法。依据训练样本的类标签计算类内、类间核窗宽,在以上核窗宽中经判别选择方法确定核参数。根据判别选择核参数所确定的核矩阵,能够准确描述训练空间的结构特征。用主成分分析(PCA)对特征空间进行分解,提取主成分以实现降维和特征提取。判别核窗宽方法在分类密集区域选择较小窗宽,在分类稀疏区域选择较大窗宽。将判别核主成分分析(Dis-KPCA)应用到数据模拟实例和田纳西过程(TEP),通过与KPCA、PCA方法比较,实验结果表明,Dis-KPCA方法有效地对样本数据降维且将三个类别数据100%分开,因此,所提方法的降维精度更高。     

基于30°角同心圆环形取样的室内人员检测方法

在现有基于信道状态信息的室内无源定位方法中,取样点的选取对指纹库的特征匹配准确率以及定位精度具有较大影响.根据WiFi信号的传输特性和信道的衰落特征,提出一种30°角同心圆环形取样法.离线阶段,按照同心圆对检测区域实现环形划分并每隔30.进行一次取样,运用主成分分析算法提取差异化信号特征并构建指纹库.在线阶段,通过陆地移动距离算法进行入侵检测,当检测到有人存在时,利用改进的支持向量回归算法并引入高斯核函数对数据进行特征匹配,最终实现人员的精确定位.实验结果表明,与CSI-MIMO、FIFS方法相比,该方法定位精度更高,定位误差更小.     

基于KPCA和CPSO的故障检测方法

提出一种基于核主元分析(KPCA)和混沌粒子优化群(CPSO)算法的非线性故障检测方法。通过核函数完成非线性变换,将变量由非线性的输入空间转换到线性的特征空间来计算主元,构造平方预测误差统计量检测故障是否发生。为避免粒子群算法的早熟现象,利用混沌优化的搜索特性,将CPSO算法应用到KPCA核参数的优化中。变压器故障检测结果表明,与基于PCA、KPCA和 PSO-KPCA的故障检测方法相比,该方法的检测正确率较高。     

Location Fingerprinting In A Decorrelated Space

We present a novel approach to the problem of the indoor localization in wireless environments. The main contribution of this paper is fourfold: 1) we show that by projecting the measured signal into a decorrelated signal space, the positioning accuracy is improved, since the cross correlation between each AP is reduced, 2) we demonstrate that this novel approach achieves a more efficient information compaction and provides a better scheme to reduce online computation (the drawback of AP selection techniques is overcome, since we reduce the dimensionality by combing features, and each component in the decorrelated space is the linear combination of all APs; therefore, a more efficient mechanism is provided to utilize information of all APs while reducing the computational complexity), 3) experimental results show that the size of training samples can be greatly reduced in the decorrelated space; that is, fewer human efforts are required for developing the system, and 4) we carry out comparisons between RSS and three classical decorrelated spaces, including Discrete Cosine Transform (DCT), Principal Component Analysis (PCA), and Independent Component Analysis (ICA) in this paper. Two AP selection criteria proposed in the literature, MaxMean and InfoGain are also compared. Testing on a realistic WLAN environment, we find that PCA achieves the best performance on the location fingerprinting task.     

基于余弦角距离的主成分分析与核主成分分析

PCA和KPCA都是基于欧氏距离提出的,这种距离对离群数据点比较敏感,而余弦角距离对离群数据更为鲁棒,在很多情况下具有更好的性能。充分利用余弦角距离的优势,提出两种新的特征抽取算法——基于余弦角距离的主成分分析（PCAC）和基于余弦角距离的核主成分分析（KPCAC）。在YALE人脸数据库与PolyU掌纹数据库上的实验表明,PCAC比PCA取得了更好的效果,KPCAC也表现出了很好的性能。     

Dimensionality reduction by Mixed Kernel Canonical Correlation Analysis

In this paper, we propose a novel method named Mixed Kernel CCA (MKCCA) to achieve easy yet accurate implementation of dimensionality reduction. MKCCA consists of two major steps. First, the high dimensional data space is mapped into the reproducing kernel Hilbert space (RKHS) rather than the Hilbert space, with a mixture of kernels, i.e. a linear combination between a local kernel and a global kernel. Meanwhile, a uniform design for experiments with mixtures is also introduced for model selection. Second, in the new RKHS, Kernel CCA is further improved by performing Principal Component Analysis (PCA) followed by CCA for effective dimensionality reduction. We prove that MKCCA can actually be decomposed into two separate components, i.e. PCA and CCA, which can be used to better remove noises and tackle the issue of trivial learning existing in CCA or traditional Kernel CCA. After this, the proposed MKCCA can be implemented in multiple types of learning, such as multi-view learning, supervised learning, semi-supervised learning, and transfer learning, with the reduced data. We show its superiority over existing methods in different types of learning by extensive experimental results.     

单向阀的小波包核主元分析故障检测

高压活塞隔膜泵是管道输送的最重要动力源,为了解决其内部单向阀故障的在线监测问题,提出一种基于声发射信号的小波包时频及核主元分析(KPCA)的检测方法。首先采用小波包对声发射数据进行处理,求出信号各频率段的能量值;然后采用KPCA方法对能量值在高维空间进行分解建立特征模型,利用特征模型中的SPE和T2统计量对故障信号进行检测;最后对GEHO型隔膜泵单向阀的声发射数据进行实验验证。通过与主元分析方法的比对,表明所提方法能够快速、准确地对单向阀故障进行在线检测,在高压活塞隔膜泵无损故障检测领域具有良好的应用前景。     

用于特征筛选的最近邻（KNN）法

把基于分类的最近邻（KNN）算法用于模式识别的特征筛选过程,并与传统的基于线性分析的模式识别特征筛选方法主成分回归（PCA）、偏最小二乘法（PLS）和K＿W检验等做比较,证明KNN方法对包容型数据的特征变量筛选尤其有效。为包容型数据的特征筛选提供了一种有力的工具。     

基于互信息的主成分分析特征选择算法

主成分分析是一种常用的特征选择算法,经典方法是计算各个特征之间的相关,但是相关无法评估变量间的非线性关系.互信息可用于衡量两个变量间相互依赖的强弱程度,且不局限于线性相关,鉴于此,提出一种基于互信息的主成分分析特征选择算法.该算法计算特征间的互信息,以互信息矩阵的特征值作为评价准则确定主成分的个数,并衡量主成分分析特征选择的效果.通过实例对所提出方法和传统主成分分析方法进行比较,并以神经网络为分类器分析分类效果.     

ECG biometric authentication based on non-fiducial approach using kernel methods

Identity recognition faces several challenges especially in extracting an individual's unique features from biometric modalities and pattern classifications. Electrocardiogram (ECG) waveforms, for instance, have unique identity properties for human recognition, and their signals are not periodic. At present, in order to generate a significant ECG feature set, non-fiducial methodologies based on an autocorrelation (AC) in conjunction with linear dimension reduction methods are used. This paper proposes a new non-fiducial framework for ECG biometric verification using kernel methods to reduce both high autocorrelation vectors' dimensionality and recognition system after denoising signals of 52 subjects with Discrete Wavelet Transform (DWT). The effects of different dimensionality reduction techniques for use in feature extraction were investigated to evaluate verification performance rates of a multi-class Support Vector Machine (SVM) with the One-Against-All (OAA) approach. The experimental results demonstrated higher test recognition rates of Gaussian OAA SVMs on random unknown ECG data sets with the use of the Kernel Principal Component Analysis (KPCA) as compared to the use of the Linear Discriminant Analysis (LDA) and Principal Component Analysis (PCA).     

基于核主成分分析特征提取的客户流失预测

将核主成分分析(KPCA)引入到客户流失预测中,提出了相应的特征提取算法。将KPCA与Logistic回归结合,设计了预测模型。通过对某电信公司客户流失预测的试验结果表明：该方法获得的命中率、覆盖率、准确率和提升系数高于原始属性集和主成分分析(PCA)特征提取法。这表明KPCA能提取客户数据的非线性特征,是研究客户流失预测问题的有效方法。     

Kernel PCA for novelty detection

Kernel principal component analysis (kernel PCA) is a non-linear extension of PCA. This study introduces and investigates the use of kernel PCA for novelty detection. Training data are mapped into an infinite-dimensional feature space. In this space, kernel PCA extracts the principal components of the data distribution. The squared distance to the corresponding principal subspace is the measure for novelty. This new method demonstrated a competitive performance on two-dimensional synthetic distributions and on two real-world data sets: handwritten digits and breast-cancer cytology.     

鲁棒主元分析在掌纹识别中的应用

为了对存在异常值的图像构建低维线性子空间的描述,提出用鲁棒主元分析(RPCA)的新方法进行掌纹识别。运用图像下抽样方法降低掌纹空间的维数,在低维图像上应用RPCA提取低维的投影向量,然后将训练图像和待识别图像向投影向量上投影得到鲁棒主元特征,计算特征向量间的余弦距离进行掌纹匹配。运用PolyU掌纹图像库进行测试,结果表明,与主元分析(PCA)、独立元分析(ICA)和核主元分析(KPCA)相比,RPCA算法的识别率最高为99%,特征提取和匹配总时间0.032 s,满足了实时系统的要求。