On properties of efficiency-balanced designs

We consider a class of efficiency-balanced block designs which are design patterns for the analytical simplification of statistical analysis. This paper consists of eight sections which investigate various problems (such as, bounds on parameters, characterizations, existence and nonexistence, and dual designs) for efficiency-balanced block designs.     

英语的“数”与相邻词语的关系辨析

探究和分析英语的＂数＂与相邻词语的关系,揭示了其中的一些规律。     

Improved construction for pooling design

Pooling design is a mathematical tool with many applications in molecular biology, specially to reduce the number of tests for DNA library screening. In this note, we study construction of pooling design and present an improvement to a recent new construction given by Du et al. (J. Comput. Biol. 13:990–995, 2006). P. Deng and W. Wu supported in part by National Science Foundation under grants CCF-0514796 and CNS-0524429. T. Znati supported in part by National Science Foundation under grant CCF-0548895.     

Percentage points of the largest characteristic root of the multivariate beta matrix

Upper quantiles of the distribution of the largest root of the multivariate beta matrix are tabulated in this paper. The tables extend the existing ones in regard to the range of one of the two degrees of freedom and are especially useful in tests of equality of two covariance matrices based on Roy's largest root criterion.     

双线性变换的计算实现

针对双线性变换在工程设计中存在的困难,通过计算机计算,由已知模拟系统传递函数各质量批示参数自动变换到数字城中,建立了一一对应的矩阵关系。进行矩阵运算后,得到所需的数字系统传递函数,它快速、方便、精度高、便于调整优化,在自动控制和数字信号处理中具有一定的价值。     

联系度在决策中的应用

介绍了集对分析的一个重要概念——联系度，讨论了用联系度进行单个方案决策及多个方案评优决策的方法。     

[HDDA] sparse subspace constrained partial least squares

ABSTRACT

In this paper, we investigate the objective function and deflation process for sparse Partial Least Squares (PLS) regression with multiple components. While many have considered variations on the objective for sparse PLS, the deflation process for sparse PLS has not received as much attention. Our work highlights a flaw in the Statistically Inspired Modification of Partial Least Squares (SIMPLS) deflation method when applied in sparse PLS regression. We also consider the Nonlinear Iterative Partial Least Squares (NIPALS) deflation in sparse PLS regression. To remedy the flaw in the SIMPLS method, we propose a new sparse PLS method wherein the direction vectors are constrained to be sparse and lie in a chosen subspace. We give insight into this new PLS procedure and show through examples and simulation studies that the proposed technique can outperform alternative sparse PLS techniques in coefficient estimation. Moreover, our analysis reveals a simple renormalization step that can be used to improve the estimation of sparse PLS direction vectors generated using any convex relaxation method.     

多维随机变量的特征函数及应用

傅立叶变换是数学中非常重要而有效的工具,将之应用到分布函数就产生了所谓的特征函数。通过特征函数可以使得概率中许多问题变得较为简单。本文通过介绍多维随机量特征函数的应用实例说明多维随机变量的特征函数在解决概率问题中的作用。     

基于模糊聚类的省域物流发展评价研究

采用模糊聚类方法对省域物流发展综合实力进行评价，利用建立的省域物流发展评价指标体系，运用模糊聚类方法对黑龙江省域物流发展进行聚类分析，提出黑龙江省省域物流发展可划分为哈大齐、哈牡绥、佳木斯城市群三个物流区域，根据其不同的特点制定相应的发展策略。     

关于光线投射算法的OpenGL高效实现

采用光线投射算法对二维(2D)图片实现三维(3D)重建,用3线性插值算法计算每个采样点的颜色值和不透明度,提高三维重建图像后的精度。该算法实现主要借助于OpenGL函数库及其三维观察矩阵,以其精确计算规则三维数据场在观察方向上的二维投影区域,减少了光线投射算法中投射光线数量。根据Phone光照模型为数据场预先计算和保存明暗表,并通过优化常规现实代码,有效地提高了光线投射体绘制算法的效率。该算法既保证了精度,又提高了显示的速度。