Semisupervised Sparse Multilinear Discriminant Analysis

Various problems are encountered when adopting ordinary vector space algorithms for high-order tensor data input. Namely, one must overcome the Small Sample Size （SSS） and overfitting problems. In addition, the structural information of the original tensor signal is lost during the vectorization process. Therefore, comparable methods using a direct tensor input are more appropriate. In the case of electrocardiograms （ECGs）, another problem must be overcome; the manual diagnosis of ECG data is expensive and time consuming, rendering it difficult to acquire data with diagnosis labels. However, when effective features for classification in the original data are very sparse, we propose a semisupervised sparse multilinear discriminant analysis （SSSMDA） method. This method uses the distribution of both the labeled and the unlabeled data together with labels discovered through a label propagation Mgorithm. In practice, we use 12-lead ECGs collected from a remote diagnosis system and apply a short-time-fourier transformation （STFT） to obtain third-order tensors. The experimental results highlight the sparsity of the ECG data and the ability of our method to extract sparse and effective features that can be used for classification.     

型腔体组件装配尺寸检测技术分析与运用

为解决型腔体组件装配尺寸的检测问题,以某枪型的型腔体组件为例,分析该型腔体组件的结构特点,设计组合型检测装置,实现准确检测目的.归纳总结了型腔体组件装配尺寸检测技术运用过程中检测装置的设计要领,采用设计与被测型腔体组件相匹配的组合型检测装置,有效解决了型腔体组件装配尺寸检测过程中的定位困难、操作繁琐、检测准确性差等问题.该检测技术对确保型腔体组件装配尺寸的检测稳定性、检测可操作性、检测准确性等方面具有现实的指导意义.     

Influence of initial chain conformation on the formation of mesoglobule phase in a dilute heteropolymer solution

We have observed, for the first time, that when the initial chain conformation changed from coil to globule, the association of linear poly(N-vinylcaprolactam-co-sodium acrylate) chains could gradually change from a reaction limited to diffusion limited process, reflected in a change of the fractal dimension of the resultant aggregates from ∼2.5 to ∼1.6. Such an influence of the initial chain conformation has been overlooked in past studies of the formation of the mesoglobule phase in a dilute heteropolymer solution.     

水泥颗粒微观分维与宏观流动性关系的研究

将微观分维作为表征水泥颗粒的形态参数；用数字显微系统测算了5种水泥颗粒样品的微观分维，研究了水泥微观分维及其与粉体流动性指数的关系，结果表明：水泥粉体微观分维与其流动性指数呈线性负相关。     

多反应体系热力学中的元素组成法(Ⅱ):剩余性质、混合变化性质及超额性质之间的关系

Based on the concept of “element” and the fundamental thermodynamic principle,the relationships of the residual properties,the property changes of mixing,excess properties,fugacity coefficients and activity coefficients between the hypothetical solution of elemental species and the equilibrated solution of actual species were established.The hypothetical solution of elemental species provides a way of reducing the dimensionality of problem, simplifying the analysis and visualizing the phase behavior.     

二维参数化图形技术研究进展

近几年来，参数化图形技术得到了不断的发展。目前已有多种参数化图形方法及系统。这些参数化图形方法可分为３种，即变分几何法、几何推理法和过程法。主要介绍这３种方法的研究进展。     

Probabilistic pseudo-morphology for grayscale and color images

Mathematical morphology offers popular image processing tools, successfully used for binary and grayscale images. Recently, its extension to color images has become of interest and several approaches were proposed. Due to various issues arising from the vectorial nature of the data, none of them imposed as a generally valid solution. We propose a probabilistic pseudo-morphological approach, by estimating two pseudo-extrema based on Chebyshev inequality. The framework embeds a parameter which allows controlling the linear versus non-linear behavior of the probabilistic pseudo-morphological operators. We compare our approach for grayscale images with the classical morphology and we emphasize the impact of this parameter on the results. Then, we extend the approach to color images, using principal component analysis. As validation criteria, we use the estimation of the color fractal dimension, color textured image segmentation and color texture classification. Furthermore, we compare our proposed method against two widely used approaches, one morphological and one pseudo-morphological.     

非均匀卵砾石粗糙床面的分形特征

针对传统方法刻画粗糙床面总体特征存在缺陷的问题,将分形几何理论引入非均匀卵砾石粗糙床面特征研究,以卵砾石床面激光扫描试验资料为基础,探讨了分形尺度区宽度与中值粒径d50的关系,分析了覆盖基准面对分形维数的影响,研究了床面整体与局部分形维数的特征与联系,获得了分形维数随床面颗粒组成及高程统计参数的变化规律。结果表明:分形尺度区宽度与床面颗粒中值粒径d50有关,上临界尺度可取为1.5d50;分形维数与覆盖基准面位置有关,覆盖基准面距平均床面的距离越大,分形维数越大且逐渐失真,为有效量化和区分床面粗糙特征,覆盖基准面宜取平均床面;粗糙床面分形维数具有良好的稳定性,局部分形维数变异性很小,并与整体分形维数接近;粗糙床面的分形维数与颗粒大小、级配组成及床面高程统计参数有关,中值粒径越大,颗粒组成越均匀,床面高程极差、标准差、偏度(绝对值)和峰度越大,分形维数越小。     

伴有生物质热解的流化床中的混沌传递现象

Experiments of biomass pyrolysis were carried out in a fiuidized bed, and dynamic signals of pressure and temperature were recorded. Correlation dimension was employed to characterize the chaotic behavior of pressure and temperature signals. Both pressure and temperature signals exhibit chaotic behavior, and the chaotic behavior of temperature signals is always weaker than that of pressure signals. Chaos transfer theory was advanced to explain the above phenomena. The discussion on the algorithm of the correlation dimension shows that the distance definition based on rhombic neighborhood is a better choice than the traditional one based on spherical neighborhood. The former provides a satisfactory result in a much shorter time.     

分形在陶瓷微观结构中的应用

分形作为一种数学方法 ,其应用范围日益扩大 ,已经逐渐渗入各学科领域。本文简要介绍了分形的概念以及它在陶瓷微观结构中的应用情况 ,重点介绍了位错、晶粒度、晶界的分形