Riccati方程的几种可积类型及其通积分公式

用初等变量代换的方法,讨论了可用分离变量法求解的Riccati方程的几种形式,得到了Riccati方程四个新的可积性判据,并给出了这四种情况的通积分公式.     

随机粗糙表面近红外光散射特性数值研究

为了研究随机粗糙表面的近红外光散射现象,采用线性滤波法生成高斯分布随机粗糙表面,使用基于矩量法的蒙特卡罗方法计算波长为1.064μm的S和P线偏振入射光照射下的良导体和电介质表面的散射分布、散射峰值及其位置等.数值计算结果表明,良导体和电介质表面的散射特征具有显著差异.该结果对提高激光雷达目标识别能力具有重要意义.     

Semiparametric Preference Learning

Unlike traditional supervised learning problems,preference learning learns from data available in the form of pairwise preference relations between instances.Existing preference learning methods are either parametric or nonparametric in nature.We propose in this paper a semiparametric preference learning model,abbreviated as SPPL,with the aim of combining the strengths of the parametric and nonparametric approaches.SPPL uses multiple Gaussian processes which are linearly coupled to determine the preference relations between instances.SPPL is more powerful than previous models while keeping the computational complexity low （linear in the number of distinct instances）.We devise an efficient algorithm for model learning.Empirical studies have been conducted on two real-world data sets showing that SPPL outperforms related preference learning methods.     

Semantic image annotation based on GMM and random walk model

Automatic image annotation has been an active topic of research in computer vision and patternrecognition for decades.A two stage automatic image annotation method based on Gaussian mixturemodel (GMM) and random walk model (abbreviated as GMM-RW) is presented.To start with,GMM fitted by the rival penalized expectation maximization (RPEM) algorithm is employed to estimatethe posterior probabilities of each annotation keyword.Subsequently, a random walk processover the constructed label similarity graph is implemented to further mine the potential correlations ofthe candidate annotations so as to capture the refining results, which plays a crucial role in semanticbased image retrieval.The contributions exhibited in this work are multifold.First, GMM is exploitedto capture the initial semantic annotations, especially the RPEM algorithm is utilized to train themodel that can determine the number of components in GMM automatically.Second, a label similaritygraph is constructed by a weighted linear combination of label similarity and visual similarity ofimages associated with the corresponding labels, which is able to avoid the phenomena of polysemyand synonym efficiently during the image annotation process.Third, the random walk is implementedover the constructed label graph to further refine the candidate set of annotations generated byGMM.Conducted experiments on the standard Corel5k demonstrate that GMM-RW is significantlymore effective than several state-of-the-arts regarding their effectiveness and efficiency in the task of automatic image annotation.     

多变量非高斯脉动风压模拟的非迭代法

基于多变量非高斯随机过程间的相关性,将发展的单变量非高斯过程的非迭代算法扩展至多变量非高斯过程的模拟.通过多变量高斯过程的相干函数来考虑多变量非高斯过程的互相关性,建立多变量非高斯过程的非迭代模拟算法.多变量非高斯风压的数值模拟表明:非迭代模拟算法能有效地模拟低、中、高斜度的多变量非高斯过程.     

ARFIMA approximation and forecasting of the limiting aggregate structure of long‐memory process

This article studies Man and Tiao's (2006) low‐order autoregressive fractionally integrated moving‐average (ARFIMA) approximation to Tsai and Chan's (2005b) limiting aggregate structure of the long‐memory process. In matching the autocorrelations, we demonstrate that the approximation works well, especially for larger d values. In computing autocorrelations over long lags for larger d value, using the exact formula one might encounter numerical problems. The use of the ARFIMA(0, d, d?₁) model provides a useful alternative to compute the autocorrelations as a really close approximation. In forecasting future aggregates, we demonstrate the close performance of using the ARFIMA(0, d, d?₁) model and the exact aggregate structure. In practice, this provides a justification for the use of a low‐order ARFIMA model in predicting future aggregates of long‐memory process. Copyright © 2008 John Wiley & Sons, Ltd.     

采用自定义阈值的计算奇异扰动在构建二甲醚简化机理上的应用

将自定义误差阈值的计算奇异扰动(CSP)应用于包含55种物质和290步反应的二甲醚的详细机理上，构建了包含26种物质和20步反应的简化机理.开发了一套基于该算法的计算机程序--I-CSP.程序的输入数据包括:① 详细的反应机理；② 在Chemkin中计算的结果；③ 准稳态物质的数量.然后,将简化机理在均匀的反应器(包括自燃反应器和完全搅拌器)中进行验证.结果发现，计算结果与详细机理相比符合得相当好; 但当在非均匀反应器(一维、稳态、自由扩展预混合火焰)中验证时，结果显示出一定偏差.     

二重级数收敛性研究

研究了二重级数和累次级数收敛问题,提出了二重级数与累次级数收敛的判别法并给出了证明,在此基础上研究了二者之间的关系,丰富了级数基本理论.     

饱和大骨料混凝土动态双轴受压力学性能试验研究

分别通过试验研究了饱和与干燥大骨料混凝土试件在动态双轴受压状态下的强度特征.试验采用大型混凝土静、动态三轴液压伺服试验系统,设定了4个数量级的应变率(10-5、10-4、10-3、10-2 s-1)和5种应力比(0∶1、0.25∶1、0.50∶1、0.75∶1、1∶1).根据试验结果,分析了孔隙水对大骨料混凝土动态双轴极限抗压强度的影响,并提出了饱和大骨料混凝土动态受压破坏准则.研究表明,饱和大骨料试件在动态条件下的强度与干燥混凝土试件相比提高明显,而在准静态条件下有所降低.在相同应变率下,与单轴相比,双轴极限抗压强度在应力比为0.50∶1时最大.     

基于改进LGDF模型的超声图像自动分割方法

基于局部高斯分布拟合能量(LGDF)模型的图像分割方法,对初始轮廓选取及参数选择较敏感.如果初始轮廓手动选取不当会由于陷入局部极小值而导致分割失败,且分割速度较慢.针对以上不足,提出了一种改进的LGDF模型的超声图像自动分割方法.该方法的正则化项由具有双极值点的势函数构成,在水平集函数进化过程中,可以避免由单极值点势函数造成的水平集函数震荡和扭曲,从而加快了收敛;另外,将局部熵阈值分割的结果作为LGDF模型的初始轮廓,接近真实轮廓,可以克服手动选取初始轮廓的影响.实验结果表明,该方法能自动获取合适的超声图像初始轮廓,并得到较好的分割结果,同时大大提高了分割速度.