小数据集贝叶斯网络多父节点参数的修复

具有已知结构的小数据集贝叶斯网络多父节点参数学习是一个重要而困难的研究课题,由于信息不充分,使得无法直接对多父节点参数进行有效的估计,如何修复这些参数便是问题的核心.针对问题提出了一种有效的小数据集多父节点参数修复方法,该方法首先使用Bootstrap抽样扩展小数据集,然后分别将Gibbs抽样与最大似然树和贝叶斯网络相结合,通过依次对扩展数据按一定比例的迭代修正来实现对多父节点参数的修复.实验结果表明,这种方法能够有效地使大部分多父节点参数得到修复.     

基于MAP的全局运动估计算法

常见的全局运动算法存在的问题是仅仅考虑像素的残差,而忽略了相邻像素和分割信息等因素对算法的影响。为了解决上述问题,该文提出一个基于最大后验概率（MAP）的全局运动估计算法。通过MAP算法定义系统能量,引入先验能量来描述像素的相邻关系和分割信息,将系统能量作为目标函数通过LM算法估计全局运动参数。实验结果证明了该算法的有效性。     

Using capture-recapture data and hybrid Monte Carlo sampling to estimate an animal population affected by an environmental catastrophe

We propose a dynamic model for the evolution of an open animal population that is subject to an environmental catastrophe. The model incorporates a capture-recapture experiment often conducted for studying wildlife population, and enables inferences on the population size and possible effect of the catastrophe. A Bayesian approach is used to model unobserved quantities in the problem as latent variables and Markov chain Monte Carlo (MCMC) is used for posterior computation. Because the particular interrelationship between observed and latent variables negates the feasibility of standard MCMC methods, we propose a hybrid Monte Carlo approach that integrates a Gibbs sampler with the strategies of sequential importance sampling (SIS) and acceptance-rejection (AR) sampling for model estimation. We develop results on how to construct effective proposal densities for the SIS scheme. The approach is illustrated through a simulation study, and is applied to data from a mountain pygmy possum (Burramys Parvus) population that was affected by a bushfire.     

Gibbs artifact reduction for POCS super-resolution image reconstruction

The topic of super-resolution image reconstruction has recently received considerable attention among the research community. Super-resolution image reconstruction methods attempt to create a single high-resolution image from a number of low-resolution images (or a video sequence). The method of projections onto convex sets (POCS) for super-resolution image reconstruction attracts many researchers’ attention. In this paper, we propose an improvement to reduce the amount of Gibbs artifacts presenting on the edges of the high-resolution image reconstructed by the POCS method. The proposed method weights the blur PSF centered at an edge pixel with an exponential function, and consequently decreases the coefficients of the PSF in the direction orthogonal to the edge. Experiment results show that the modification reduces effectively the visibility of Gibbs artifacts on edges and improves obviously the quality of the reconstructed high-resolution image.     

FLASK-SG: A program to compute chemical equilibria in metamorphic petrology

Chemical equilibrium calculation program for metamorphic petrology, FLASK-SG, was written for Unix variants (Linux, IRIX, Tru64 UNIX). It is also ported to Windows 95/98. The user specifies a temperature, pressure, and substance amounts (in moles of any chemical formula in C–H–O–Si–Al–Ti–Fe–Mn–Mg–Ca–Na–K system) to this program, then it calculates the stable mineral assemblage, mineral amounts, and gas composition under the given conditions using Gibbs free energy minimization method with the Holland and Powell (1990) data set. Searching algorithm for the stable mineral assemblage is the Metropolis Monte Carlo method. The coding language is C++, and experimental object oriented programming style is adopted to make the main program part as a class library. Model-dependent functions such as fugacity coefficients and activities are implemented as virtual methods of the “systems” class, so they can be easily changed as methods of inherited class from the “systems” class. These characteristics are aimed for a future “simulation kit”.     

S=2的单轴各向异性横向Ising模型的基态磁性质

对处于外界横向磁场中,单自旋S=2的具有单轴各向异性场的Ising铁磁体模型,采用平均场理论(MFA),基于Bogoliubov不等式,以Gibbs自由能为判据,推导出系统基态磁矩及自由能的理论公式,重点考察了单轴各向异性场D和横场Ω对自旋系统基态磁化曲线及自由能的影响,并且从磁化曲线可观察系统一阶、二阶相变的特征。研究发现随着单轴各向异性场和横场的变化,磁化曲线可分成3种:系统的磁矩由2跃变到1,发生一阶有序-有序相变;系统的磁矩由2或1跃变到0,发生一阶有序-无序相变;系统的磁矩由2或1平滑地变化到0,发生二阶有序-无序相变。在m-D/(zJ)基态磁化曲线中随着Ω的增加,系统的磁矩由2到1,1到0的一阶相变现象相继消失;同样在m-Ω/(zJ)基态磁化曲线中随着D的增加,也相继消失。通过对基态自由能曲线的分析还发现当Ω增加或D增加时,自由能总是呈下降的趋势。     

Convergence Diagnostics for Gibbs Sampler via Maximum Likelihood Estimation

A diagnostic procedure based on maximum likelihood estimation, to study the convergence of the Markov chain produced by Gibbs sampler, is presented. The unbiasedness, consistent and asymptotic normality are considered for the estimation of the parameters produced by the procedure. An example is provided to illustrate the procedure, and the numerical result is consistent with the theoretical one.     

水利水电工程地质勘察中取土器及取样方法的探讨

为了提高工程地质勘察中提取原状土样的质量 ,针对不同的地层情况选择合理技术参数的取土器非常重要 ,本文介绍了几种取土器 ,并对所研制的取土器的管靴刃口形式的局部改进和取土方法进行了说明     

取样器测湿修正新方法

空调系统通过取样器测湿时，对结果必须修正．原有修正方法只适用于干湿球湿度计，使用不便．本文提出一种新修正方法，适用于各种类型湿度传感器．     

关于标准生成吉布斯自由能的一种计算方法及绘图实例

根据目前国际上流行的数学和工程计算软件IVIATCAB能很好地帮助工程师和科学家解决实际工程和技术问题的特点，针对热力学标准生成吉布斯自由能对材料合成和加工过程中的物质的反应和相变分析具有密切关系的情况，介绍了一种用MATLB软件计算标准生成吉布斯自由能及绘图的简便方法，并通过实例进行了说明。