Comparison of Kernel Entropy Component Analysis with Several Dimensionality Reduction Methods

Dimensionality reduction techniques play an important role in data mining. Kernel entropy component analysis( KECA) is a newly developed method for data transformation and dimensionality reduction. This paper conducted a comparative study of KECA with other five dimensionality reduction methods,principal component analysis( PCA),kernel PCA( KPCA),locally linear embedding( LLE),laplacian eigenmaps( LAE) and diffusion maps( DM). Three quality assessment criteria, local continuity meta-criterion( LCMC),trustworthiness and continuity measure(T&C),and mean relative rank error( MRRE) are applied as direct performance indexes to assess those dimensionality reduction methods. Moreover,the clustering accuracy is used as an indirect performance index to evaluate the quality of the representative data gotten by those methods. The comparisons are performed on six datasets and the results are analyzed by Friedman test with the corresponding post-hoc tests. The results indicate that KECA shows an excellent performance in both quality assessment criteria and clustering accuracy assessing.

Description and Classification of Leather Defects Based on Principal Component Analysis

The accurate extraction and classification of leather defects is an important guarantee for the automation and quality evaluation of leather industry. Aiming at the problem of data classification of leather defects,a hierarchical classification for defects is proposed.Firstly,samples are collected according to the method of minimum rectangle,and defects are extracted by image processing method.According to the geometric features of representation, they are divided into dot,line and surface for rough classification. From analysing the data which extracting the defects of geometry,gray and texture,the dominating characteristics can be acquired. Each type of defect by choosing different and representative characteristics,reducing the dimension of the data,and through these characteristics of clustering to achieve convergence effectively,realize extracted accurately,and digitized the defect characteristics,eventually establish the database. The results showthat this method can achieve more than 90% accuracy and greatly improve the accuracy of classification.

Multi-state Information Dimension Reduction Based on Particle Swarm Optimization-Kernel Independent Component Analysis

The precision of the kernel independent component analysis( KICA) algorithm depends on the type and parameter values of kernel function. Therefore,it's of great significance to study the choice method of KICA's kernel parameters for improving its feature dimension reduction result. In this paper, a fitness function was established by use of the ideal of Fisher discrimination function firstly. Then the global optimal solution of fitness function was searched by particle swarm optimization( PSO) algorithm and a multi-state information dimension reduction algorithm based on PSO-KICA was established. Finally,the validity of this algorithm to enhance the precision of feature dimension reduction has been proven.

Model-based Predictive Control for Spatially-distributed Systems Using Dimensional Reduction Models

In this paper, a low-dimensional multiple-input and multiple-output （MIMO） model predictive control （MPC） configuration is presented for partial differential equation （PDE） unknown spatially-distributed systems （SDSs）. First, the dimension reduction with principal component analysis （PCA） is used to transform the high-dimensional spatio-temporal data into a low-dimensional time domain. The MPC strategy is proposed based on the online correction low-dimensional models, where the state of the system at a previous time is used to correct the output of low-dimensional models. Sufficient conditions for closed-loop stability are presented and proven. Simulations demonstrate the accuracy and efficiency of the proposed methodologies.

Optimizing progress variable definition in flamelet-based dimension reduction in combustion

An automated method to optimize the definition of the progress variables in the flamelet-based dimension reduction is proposed. The performance of these optimized progress variables in coupling the flamelets and flow solver is presented. In the proposed method, the progress variables are defined according to the first two principal components （PCs） from the principal component analysis （PCA） or kernel-density-weighted PCA （KEDPCA） of a set of flamelets. These flamelets can then be mapped to these new progress variables instead of the mixture fraction/conventional progress variables. Thus, a new chemistry look-up table is constructed. A priori validation of these optimized progress variables and the new chemistry table is implemented in a CH4/N2/air lift-off flame. The reconstruction of the lift-off flame shows that the optimized progress variables perform better than the conventional ones, especially in the high temperature area. The coefficient determinations （R2 statistics） show that the KEDPCA performs slightly better than the PCA except for some minor species. The main advantage of the KEDPCA is that it is less sensitive to the database. Meanwhile, the criteria for the optimization are proposed and discussed. The constraint that the progress variables should monotonically evolve from fresh gas to burnt gas is analyzed in detail.

Two linear subpattern dimensionality reduction algorithms

This paper presents two novel algorithms for feature extraction-Subpattern Complete Two Dimensional Linear Discriminant Principal Component Analysis (SpC2DLDPCA) and Subpattern Complete Two Dimensional Locality Preserving Principal Component Analysis (SpC2DLPPCA). The modified SpC2DLDPCA and SpC2DLPPCA algorithm over their non-subpattern version and Subpattern Complete Two Dimensional Principal Component Analysis (SpC2DPCA) methods benefit greatly in the following four points: (1) SpC2DLDPCA and SpC2DLPPCA can avoid the failure that the larger dimension matrix may bring about more consuming time on computing their eigenvalues and eigenvectors. (2) SpC2DLDPCA and SpC2DLPPCA can extract local information to implement recognition. (3)The idea of subblock is introduced into Two Dimensional Principal Component Analysis (2DPCA) and Two Dimensional Linear Discriminant Analysis (2DLDA). SpC2DLDPCA combines a discriminant analysis and a compression technique with low energy loss. (4) The idea is also introduced into 2DPCA and Two Dimensional Locality Preserving projections (2DLPP), so SpC2DLPPCA can preserve local neighbor graph structure and compact feature expressions. Finally, the experiments on the CASIA(B) gait database show that SpC2DLDPCA and SpC2DLPPCA have higher recognition accuracies than their non-subpattern versions and SpC2DPCA.

Nonlinear Dynamic Analysis of MPEG-4 Video Traffic

The main research motive is to analysis and to veiny the inherent nonlinear character of MPEG-4 video. The power spectral density estimation of the video trafiic describes its 1/f^β and periodic characteristics.The priraeipal compohems analysis of the reconstructed space dimension shows only several principal components can be the representation of all dimensions. The correlation dimension analysis proves its fractal characteristic. To accurately compute the largest Lyapunov exponent, the video traffic is divided into many parts.So the largest Lyapunov exponent spectrum is separately calculated using the small data sets method. The largest Lyapunov exponent spectrum shows there exists abundant nonlinear chaos in MPEG-4 video traffic. The conclusion can be made that MPEG-4 video traffic have complex nonlinear be havior and can be characterized by its power spectral density,principal components, correlation dimension and the largest Lyapunov exponent besides its common statistics.

Analysis of Chaotic Characters for the Monthly Runoff Se-ries at Fudedian Station in Liaohe Bain

The evolution of monthly runoff is affected both by climate environment and human activities, and its characteristics play an important role in runoff prediction and simulation. In this paper, the G-P and the principal component analysis method, which are both based on the reconstruction theory of the phase space, are used to study the chaos characteristics of the monthly runoff series at Fudedian station in Liaohe basin. The results show that the monthly runoff series have a large probability of chaos.

Comparison of Attribute Reduction Methods for Coronary Heart Disease Data by Decision Tree Classification

Attribute reduction is necessary in decision making system. Selecting right attribute reduction method is more important. This paper studies the reduction effects of principal components analysis (PCA) and system reconstruction analysis (SRA) on coronary heart disease data. The data set contains 1723 records, and 71 attributes in each record. PCA and SRA are used to reduce attributes number (less than 71 ) in the data set. And then decision tree algorithms, C4.5, classification and regression tree ( CART), and chi-square automatic interaction detector ( CHAID), are adopted to analyze the raw data and attribute reduced data. The parameters of decision tree algorithms, including internal node number, maximum tree depth, leaves number, and correction rate are analyzed. The result indicates that, PCA and SRA data can complete attribute reduction work,and the decision-making rate on the reduced data is quicker than that on the raw data; the reduction effect of PCA is better than that of SRA, while the attribute assertion of SRA is better than that of PCA. PCA and SRA methods exhibit goodperformance in selecting and reducing attributes.

基于双子空间PCA降维的脑力负荷分类

人类社会至今的飞速发展使得大量体力劳动被机械工程替代,工作者的任务重心也从体力劳动逐渐转变为脑力劳动,对操作者脑力负荷进行实时评估以增强工作效率在当下有着重大意义。目前人类对于脑力负荷评估共有3种方式,有研究表明,采用生物电信号进行脑力负荷分类效果较其余两种方法更客观。但脑电信号经过特征提取后维数极高,所需数据量和运算量巨大,需要对其进行降维。目前降维方面最广泛运用的两种算法为主成分分析(principal component analysis,PCA)和线性判别分析(linear discriminate analysis,LDA)。针对PCA的非监督性和LDA的特征冗余敏感性,提出一种二分类下基于双子空间主成分分析的降维算法,分别对不同类别的训练集数据进行主成分分析,并将所有训练集数据映射到生成的空间中,再次进行PCA-LDA降维,以此提高降维后数据的可分性。实验结果表明,双子空间PCA-LDA降维算法在二分类任务下测试集精度整体高于单子空间PCA-LDA算法,以此为脑力负荷分类领域和高维数据降维领域提供了新思路。

基于“社-校-家-生”四维的大学生学业预警影响因素相关性分析——以安徽中医药大学中西医临床医学专业为例

通过回归分析探讨“社-校-家-生”四维影响因素对学业预警机制的相关性,对安徽中医药大学中西医临床医学专业的421名学生展开调研,采用主成分分析法,建立多因素回归分析模型。建立模型后,发现其中影响最大的五方面因素分别是家庭、课外活动、学习基础、人际关系、就业情况。其中,重要性分析中,父母最高文化水平、生活费/月、挂科数目、户籍所在地、担任班委、辅导员联系家长情况排序前六。通过对四维因素进行逐步回归分析与交互分析,发现对学业预警影响最为显著的为家庭因素和学校因素,且两者不存在交互关系。基于回归分析结果显示对学业成绩影响的主要因素为家庭因素、学校因素,其中家庭维度方面主要是生活费/月、户籍所在地起主要作用,与学业成绩呈负相关,学校维度层面主要是辅导员与家长的联系情况以及相关制度的制定与开展影响较大,与学业成绩呈正相关。

基于模式识别技术的光电探测器故障辨识研究

当前光电探测器故障辨识错误率高,为提升光电探测器故障辨识效果,设计了基于模式识别技术的光电探测器故障辨识方法。首先采集光电探测器状态信号,并从光电探测器状态信号中提取特征,然后利用主成分分析算法对特征进行降维处理,得到最优光电探测器状态辨识特征,最后将光电探测器状态特征作为支持向量机的输入,光电探测器状态作为支持向量机输出,通过支持向量机学习设计光电探测器状态辨识器,实验结果表明,本方法可以有效辨识光电探测器辨识故障,光电探测器故障辨识正确率超过了90%,光电探测器故障辨识时间控制在20 ms以内,为光电探测器状态分析提供了理论依据。

泥石流频发区不同土地利用类型下土壤分形维数与理化性质的关联度

为综合评价泥石流频发区不同土地利用类型下土壤的结构稳定性,本研究以蒋家沟为例,选取耕地、草地、林地为研究对象,裸地作为参照,基于分形理论分析了不同土地利用类型下土壤的分形特征,利用主成分分析方法,分析了影响土壤结构稳定性的主要影响因子,同时利用关联耦合度方法构建了土壤分形维数与理化性质间的耦合模型。结果表明,不同土地利用类型下土壤的分形维数介于2.71~2.75,0.5~2 mm土壤颗粒含量决定了不同土地利用类型下土壤的分形维数;土壤颗粒的分形维数与土壤碱解氮、容重、有机质含量显著相关,两者之间属于中等关联,土壤理化性质对分形维数的影响大小依次为容重>碱解氮>有机质;分形维数与理化指标的系统耦合度属于弱协调,未达到最佳状态;不同土地利用类型的系统耦合协调程度按大小排序为林地>草地>耕地>裸地。研究结果表明,增加植被覆盖和减少人为扰动有利于稳定的土壤结构形成。研究结论可以为流域植被恢复及土壤结构特征描述提供一定的理论依据。

基于KPCA特征量降维的风电并网系统暂态电压稳定性评估

针对电力系统暂态电压稳定性评估中所需特征量数据庞大,影响模型训练时间,降低计算效率等问题,提出了一种基于核主成分分析方法KPCA和CPSO-BP组合的风电并网系统暂态电压稳定性评估方法.首先根据输入特征采集原始特征集,采用核主成分分析算法对特征量进行非线性数据处理,提取出最优的特征集.然后将降维后的特征集作为CPSO-BP神经网络输入量进行监督学习,将得到的模型按照临界故障切除时间裕度值的大小进行分类,将分类后的样本进行风电并网系统的暂态电压稳定性评估和临界故障切除时间裕度值预测.仿真分析结果表明,对输入特征进行降维,保留重要输入特征量,剔除冗余特征量,不仅简化了模型,还提高了网络评估的准确性和计算效率.

水下目标信号的Lofar谱图特征的主分量分析研究

研究一种基于 Lofar谱图特征和主分量分析的水下目标信号的特征处理方法。首先介绍了这种方法的应用背景 ,给出了舰船辐射噪声的结构和 Lofar谱特征的提取方法。在简单介绍了主分量分析的有关基础知识和数学解法后 ,对于海上测量获得的舰船辐射噪声信号进行特征提取 ,利用主分量分析的方法对提取的特征向量进行降维处理。针对主分量分析处理前后的特征向量 ,采用结构自适应模糊聚类神经网络分类器分类 ,与直接对Lofar谱特征分类相比 。

量纲统一在滑坡易发性评价中的影响分析

以往的区域性滑坡易发性评价研究多以对比不同评价模型结果和改进模型为主,而忽视了所选致灾因子的信息保留以及因子量纲如何统一的问题。为探究致灾因子的相关性和量纲对易发性评价结果的影响,以甘肃省靖远县北部地区作为研究区,选取高程、坡度、坡向和地形起伏度等12个因子,利用主成分分析提取的新因子参与易发性评价,并采用数据标准化、滑坡密度和信息量值替代法统一致灾因子的量纲,最后基于GIS平台绘制研究区滑坡易发性分区图。通过ROC曲线评估各模型的易发性评价结果精度。结果表明:在信息量模型、逻辑回归模型和感知机模型中,经主成分分析处理的因子得到的模型评价结果精度更高,采用信息量值替代法统一因子的量纲能够进一步提升逻辑回归和感知机模型的评价结果精度;同时,3种评价模型中感知机模型的结果精度最高(AUC=0.9367),优于信息量模型(AUC=0.9173)和逻辑回归模型(AUC=0.9272),是该研究区滑坡易发性评价的理想模型,应优先考虑。研究结果可为类似地区的防灾减灾工作提供基础数据和理论参考。

通信干扰下无线传感器网络中微弱信号检测

微弱信号检测是保证无线传感器网络高效使用的重要环节,但检测过程易受噪声信号、传感器性能、虚拟信号等因素的干扰,从而导致误检。为了解决上述问题,提出一种通信干扰下无线传感器网络微弱信号检测方法。通过局部投影降噪法剔除信号中的噪声,避免噪声对检测过程产生影响。采用主分量分析算法提取去噪信号的特征,并根据遗传算法优化支持向量参数,将提取的特征输入到向量机中,通过特征的分类完成通信干扰下无线传感器网络微弱信号的检测。实验结果表明,所提方法的信号检测结果与实际结果基本一致,检测时间在30ms内,且抗噪性能强。

低复杂度的OFDM信道估计算法

LS算法在频域对OFDM系统的信道进行估计方面,具有简单、易实现的优点。维纳滤波可以有效地改善LS估计器的性能,但会增加系统的计算复杂度。该文利用主分量分析的方法,提出了一种能有效地降低系统的复杂度的算法。该算法首先利用LS算法在频域对OFDM系统的信道参数进行粗略估计,然后利用改进后的低复杂度维纳滤波器对所获得的信道参数进行滤波。理论分析及仿真结果表明,该方法在估计性能损失不大的情况下,能有效地降低系统估计的计算复杂度。

边坡安全监测GPS-RTK信号的降噪算法研究

全球定位系统实时动态差分技术(global positioning system-real time kinematic, GPS-RTK)是解决路基边坡安全监测问题的重要手段,但GPS-RTK信号易受到多路径误差和共模误差的影响。基于小波变换(wavelet transform, WT)和主成分分析(principal component analysis, PCA)分别可以有效去除多路径误差和共模误差,提出WT-PCA算法去除信号误差。首先设置仿真信号,通过参数调优进一步提高单一算法的降噪效果。其次提出组合算法WT-PCA改进单一算法的缺陷,并与其他组合算法进行对比分析。最后,对十天高速路基边坡的GPS-RTK监测数据进行实例分析。结果表明,WT-PCA算法的信噪比和均方根误差较于WT-VMD优于66%和50%左右,算法可以有效地消除GPS-RTK信号的多路径误差和共模误差影响。提高边坡位移监测信号处理精度,进一步评估边坡结构形变及安全状态。

基于支持向量机的网格化电网负荷预测算法设计

针对电网负荷预测算法预测能力较差、效率偏低的问题,文中提出了一种PCA-PSO-SVM算法。其在经典粒子群算法的基础上引入主元分析法,使模型具有降低数据维度及算法冗余度的特性。同时通过改进的PCA-PSO算法对SVM模型的内置参数进行最优选取,从而使改进后的SVM模型具有最佳的分类性能。在实验测试中,采用PCA算法选取了91%贡献度内的6项数据特征进行样本数据训练。结果表明,相较于其他对比算法,该文算法预测结果的RMSE、MAE与MAPE误差值均为最小,证明其可对网格化电网负荷加以预测。此外,该算法还能提升传统算法的准确度,为电力负荷分配提供有力支持。