奇异类内离差矩阵条件下的Fisher最优判据

特征提取是模式分类与识别的重要环节，Fisher最优判据是特征提取的基本方法之一．本文提出了一种计算奇异类内离差矩阵条件下Fisher最优判据的新方法，并给出了计算步骤．     

A Unified Approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information

Local quantum uncertainty and interferometric power were introduced by Girolami et al. as geometric quantifiers of quantum correlations. The aim of the present paper is to discuss their properties in a unified manner by means of the metric adjusted skew information defined by Hansen.     

Quality Assessment of Honey Using Modern Analytical Tools

The quality of eighteen honey samples collected from the Western district of Saudi Arabia was assessed according to the International Honey regulatory standards using modern analytical methods. A number of quality criteria were measured to determine the botanical and geographical origin of honey. Hydroxymethylfurfural (HMF) as an adulteration marker was analyzed and detected quantitatively via high performance liquid chromatography (HPLC). The moisture content was assessed by Karl Fisher coulometric method using an automatic potentiometric titrator. While, mineral content and toxic heavy metal ions were determined using an inductively coupled plasma-atomic emission spectrometry (ICP-AES) technique after microwave digestion. All the investigated honey samples were of good quality. The elements with the highest frequency were K, Se, and Cd. High content of Cd and Se were found in samples (7 and 9). The maximum residues limit of the most dangerous metal for the human health lead was below European Standards.     

东亚地区大气环流的季节划分及其时空变化特征

利用NCEP-DOE Reanalysis 2 1979-2009年位势高度场、温度场、湿度场和风场逐日再分析资料,采用考虑面积权重的区域多要素最优分割法,对东亚地区大气环流的季节进行划分,并分析了四季起始时间的时空变化特征.研究结果表明:1)东亚地区春季最早始于中高纬地区的平流层和副热带的对流层中下层;夏季最早始于中高纬的平流层和副热带、中纬度地区的对流层中上层;秋、冬季开始最早的地区集中在东亚地区东部和东北部的对流层中低层,以及中高纬的平流层. 2)季节变化与环流形势密切相关,且对流层各个层次的夏季和冬季起始时间的分布均有较好的垂直一致性,平流层与对流层各季节起始时间分布有较大的差异性,平流层中层和下层也并不一致. 3)华北地区四季平均起始时间距平序列的逐年演变特征表明近30年该地区出现了6个四季起始时间异常偏早的年份,与El Niño活跃年份相一致,反映了海温等外强迫对大气环流季节变化的影响. 关键词： 季节划分 东亚地区 区域多要素最优分割法     

基于Fisher准则的两组判别分析方法在夏季降水预报中的应用

根据1959—2004年(12月到次年3月)逐月大气环流特征量资料,运用基于F isher准则的两组判别分析方法,预报安徽宣城夏季降水量.结果表明,历史拟合率高,在预报业务中具有实用价值.     

基于R软件的Bayes判别分析在医学中的应用

Bayes判别在进行判别分析时考虑到各总体出现的先验概率、预报的先验概率及错判造成的损失,其判别效能优于其他判别方法.对Bayes判别方法详细介绍的基础上,利用R软件对一组舒张压和胆固醇数据分别进行Bayes判别分析、Fisher判别分析和基于距离的判别分析,对比三种不同方法下得到的判别结果,结果表明Bayes判别分析得到的分类结果精度较高,Bayes判别分析在医学领域有较好的应用前景.     

竞争市场均衡问题的内点算法

本文应用最优化方法求解经济学中的经典问题-竞争市场均衡问题.本文对Ye的算法(Ye首先提出了解Fisher问题的原始-对偶路径跟踪算法)做了改进,分别给出了步长调整和迭代方向分解后的原始-对偶路径跟踪算法,并对算法做了理论证明和复杂性分析.最后分析了初始点的求法,做了初步的数值计算.计算结果表明算法能在有效时间内求得问题的解.     

n维数据统计信息增益的度量及应用

采样数据的增加究竟有多少相应的有效Fisher信息增益,这是测量数据处理、图像数据融合等应用领域中关心的问题.以(共轭)正态分布为基础,利用统计推断理论,导出一定相关性下样本数据的增加与统计信息(Fisher信息)增益之间的关系,并经一维航天测量数据和二维图像超分辨仿真算例验证.     

Mixed finite element methods for a fourth order reaction diffusion equation

Mixed finite element methods are applied to a fourth order reaction diffusion equation with different types of boundary conditions. Some a priori bounds are established with the help of Lyapunov functional. The semidiscrete schemes are derived using C⁰‐piecewise linear finite elements in spatial direction and error estimates are obtained. The semidiscrete problem is then discretized in the temporal direction using backward Euler method and the wellposedness of the completely discrete scheme is discussed. Finally, a priori error estimates are established. While deriving a priori error estimates, Gronwall's lemma is applied and the constants involved in the error bounds do not depend exponentially on $\frac{1}{\gamma}$, where γ is a parameter appeared in the fourth order derivative. © 2011Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012     

基于图像边缘信息和Fisher准则的钢板表面缺陷分割研究

针对钢板表面缺陷图像信噪比低、缺陷目标小且形态差别大等特点,提出了一种基于边缘信息和Fisher准则相结合的图像分割方法。该方法首先采用梯度算子检测出缺陷图像的边缘,并对边缘检测所得的梯度图进行灰度拉伸,提高梯度图的对比度;然后利用Fisher准则寻找最佳阈值,分割出缺陷;最后运用数学形态学滤除噪声,实现了缺陷的自动分割和定位。实验证明,该方法不仅能够识别出弱小的缺陷,而且实现了在线实时检测。