基于最小二乘支持向量机和证据理论的交通数据融合

针对基于浮动车辆数据(floating car data,FCD)的城市道路交通信息采集系统存在的问题,提出一种基于最小二乘支持向量机(LS-SVM)和证据理论的数据融合方法,通过融合地感线圈采集的交通流量信息,提高FCD系统交通速度信息采集的准确性.利用LS-SVM回归得到速度-流量关系曲线的临界速度参数,再根据历史数据库用统计方法计算出流量-速度关联规则的可信度矩阵,在得到这些经验知识的基础上,定义了两种证据源的基本概率分配函数.最后,通过D-S证据理论对两种证据源进行数据融合,获得融合后的速度信息.实地跑车实验结果论证了融合算法的有效性和可靠性.     

涉及积和式的切比雪夫型不等式的一个新证明

主旨是借助于代数和分析工具给出如下涉及积和式的切比雪夫型不等式 perA/^n П（i=1） ^n ∑（j=1） αi,j ≤perB/^n П（i=1） ^n ∑（j=1） bi,j 的一个新证明，同时也展示了该结果的一个新的应用．     

次对称矩阵的一些性质

研究了次对称矩阵的性质,次对称矩阵与次对合矩阵,次正交矩阵的关系,并加以理论证明,得到了一些重要的结论。     

广义次正定矩阵的性质

讨论了广义次正定矩阵乘积的性质及广义次正定矩阵的代数结构,推广了著名的Minkowski不等式和Ostrowski-Taussy不等式.     

区间数判断矩阵满意一致性递推排序方法研究

研究了区间数判断矩阵的一致性和递推排序方法. 根据区间数判断矩阵的概念给出了区间数判断矩阵的完全一致性定义, 通过对完全一致性性质的讨论演绎出区间数判断矩阵的一致性和满意一致性定义及其判别方法，并且研究了一致性和满意一致性定义的合理性, 提出了求解区间数判断矩阵排序向量的递推排序方法, 最后用算例验证了方法的有效性.     

Stability analysis of BAM neural networks with time-varying delays

Some new criteria for the global asymptotic stability of the equilibrium point for the bi-directional associative memory neural networks with time varying delays are presented. The obtained results present the structure of linear matrix inequality which can be solved efficiently. The comparison with some previously reported results in the literature demonstrates that the results in this paper provide one more set of criteria for determining the stability of the bi-directional associative memory neural networks with delays.     

Mercer核的等价定义的证明的验证

支持向量机是一类新型机器学习方法,由于其出色的学习性能,该技术已成为当前国际机器学习界的研究热点[1]。而Mercer核是支持向量机的重要内容,本文通过Delta函数对Mercer核的等价定义的证明进行了验证。     

Control of group velocity in an annular chain of microring coupled-resonator optical waveguides

In order to control group velocity,an annular chain of microring coupled-resonator optical waveguides was analyzed,and its transmission spectra were obtained using the transfer matrix method. The result showed that the curvature of the chain caused the dispersion curves to shift and the resonance fre-quency got fixed. It is therefore concluded that the group velocity of light in the annular chain of mi-croring coupled-resonator optical waveguides can be controlled by adjusting the curvature of the chain. We believe that such an annular chain can be used as an optical buffer or signal retarder for optical communication.     

Wavelet Numerical Solutions for Weakly Singular Fredholm Integral Equations of the Second Kind

Daubechies interval wavelet is used to solve numerically weakly singular Fredholm integral equations of the second kind. Utilizing the orthogonality of the wavelet basis,the integral equation is reduced into a linear system of equations. The vanishing moments of the wavelet make the wavelet coefficient matrices sparse,while the continuity of the derivative functions of basis overcomes naturally the singular problem of the integral solution. The uniform convergence of the approximate solution by the wavelet method is proved and the error bound is given. Finally,numerical example is presented to show the application of the wavelet method.     

分块矩阵广义逆的几种表达式

受分块矩阵的逆矩阵形式的启发，给出了分块矩阵A=（A11 A12 A21 A22）的广义逆A^（1，3），A^（2），A^＋，Ad和Ag可以表示为X=（S1^α-A11^αA12S2^α -A11^αA21S1^α S2^α）的条件；然后运用这些结果，得到分块矩阵A的M—P逆的几个表达式；最后给出一个求分块矩阵M—P逆的例子．