可见-近红外高光谱成像结合化学计量学分辨人面部信息

人的面部信息与指纹和虹膜一样可以用于人的身份鉴别,并且相比之下更容易实现远距离的分辨和识别。利用高光谱成像技术可以应用到人脸识别领域并获取丰富的信息和庞大的成像数据量,需要采用化学计量学方法才能充分提取其中包含的有效信息,并为计算机识别奠定基础。研究了可见-近红外高光谱成像技术对人的面部信息进行分析的可行性。结果表明,多元曲线分辨-交替最小二乘方法不同于主成分分析,能够通过主成分纯光谱和相对浓度等具有具体物理化学意义的数据表征人的面部信息,而且可以方便地根据成像数据的特点施加运算中的约束。另外,采用偏最小二乘判别分析的方法实现了对不同肤色的皮肤信号光谱进行分类。白种人和黄种人的面部高光谱信息特征相似,分类难度高于深色皮肤人种。     

连续区间策略下二人零和对策问题研究

考虑连续区间策略下的二人零和对策问题,研究其均衡策略的存在性。首先分析了完全信息下的二人零和对策问题,证明了该问题均衡策略的存在性并给出求解方法。然后进一步研究了收益函数不确定的不完全信息二人零和对策问题,在各局中人都认为对方是风险厌恶型的假设下,分析该类对策纯策略均衡的存在性,并通过研究纯策略均衡存在的充要条件给出判断并寻找纯策略均衡解的方法。最后给出一个数值算例,验证本文所提出方法的可行性。     

On Regularization of a Source Identification Problem in a Parabolic PDE and its Finite Dimensional Analysis

We consider the inverse problem of identifying a general source term, which is a function of both time variable and the spatial variable, in a parabolic PDE from the knowledge of boundary measurements of the solution on some portion of the lateral boundary. We transform this inverse problem into a problem of solving a compact linear operator equation. For the regularization of the operator equation with noisy data, we employ the standard Tikhonov regularization, and its finite dimensional realization is done using a discretization procedure involving the space $L^2(0,\tau;L^2(Ω))$. For illustrating the specification of an a priori source condition, we have explicitly obtained the range space of the adjoint of the operator involved in the operator equation.     

参数未知的不同阶数混沌系统广义同步及参数估计

采用扩阶方法(使响应系统和驱动系统的维数相同)，把不同阶数混沌系统的广义同步问题转化为相同阶数混沌系统之间的广义同步，基于Lyapunov稳定性定理和自适应控制方法(用于相同阶数混沌系统的同步)，给出了自适应控制器和参数自适应律，进而实现了不同阶数混沌系统的广义同步.将该方法应用于参数未知的超Lü，Lorenz，广义Lorenz和Liu等系统之间的广义混沌同步，理论证明了该方法可以使这些系统达到渐近广义同步，并且可以辨识驱动系统和响应系统的所有参数，数值模拟进一步证明了该方法的有效性.     

用近场声学测量信息可视化多个三维障碍物的一种快速算法

提出了用点声源散射场的近场信息来可视化多个三维障碍物的一种简单快速算法,它是通过利用一个线性方程组的解的三维等值线图来实现这种可视化的.这个算法的一个特别吸引人的性质是,它避开了迭代技术的应用,而且不需要关于障碍物的任何几何和物理的先验信息.此外,它只需要散射场在测量表面的某个有限范围中若干个观测点处的近场测量信息,就能得到障碍物的一个很理想的可视化.数值算例保证了这个可视化算法是有效和实用的 关键词： 声散射 反问题 物形反演     

The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers

In a recent paper Dattoli and Srivastava [3], by resorting to umbral calculus, conjectured several generating functions involving harmonic numbers. In this sequel to their work our aim is to rigorously demonstrate the truth of the Dattoli-Srivastava conjectures by making use of simple analytical arguments. In addition, one of these conjectures is stated and proved in more general form.     

量子态的概率克隆和认证

随机地选自一组非正交的量子态不可能通过幺正过程精确克隆。但是如果 幺正演化和选择性测量过程结合起来,则可以以一定的概率精确地克隆上述输入态,文章简述了概率克隆研究的最新进展,并同它和量子态认证之间的密切联系。     

拉曼光谱在宝玉石鉴定中的应用

:利用拉曼光谱鉴定宝石越来越受到宝石学界的关注。本文测定了许多宝石的拉曼光谱 ,其中包括宝石、玉石、人造宝石和一些贵重宝石的代用品。这些谱图可以作为宝石鉴定的标准对照谱。文中还讨论了宝石拉曼光谱鉴定的一些特点     

On the numerical determination of optimal inputs

The design of optimal inputs for linear and nonlinear system identification involves the maximization of a quadratic performance index subject to an input energy constraint. In the classical approach, a Lagrange multiplier is introduced whose value is an unknown constant. In recent papers, the Lagrange multiplier has been determined by plotting a curve of the Lagrange multiplier as a function of the critical interval length or a curve of input energy versus the interval length. A new approach is presented in this paper in which the Lagrange multiplier is introduced as a state variable and evaluated simultaneously with the optimal input. Numerical results are given for both a linear and a nonlinear dynamic system.     

The design of a Tort law to control accidents

In this paper we analyse a two-stage game involving the government and n agents who engage in a single activity (driving). The government establishes the legal policy setting and the agents proceed to play a non-cooperative game of incomplete information with a risk of accident in which their behavioral strategy is their level of care. We examine the Nash-equilibrium conditions for single-activity accidents between heterogeneous agents, ‘good’ drivers or ‘bad’ drivers allowing a variable damage function and a liability rule defined on the cube. The relative desirability for society of alternative equilibria and the conditions under which they can obtain are discussed. The constraints which circumscribe the ability of the government to induce an equilibrium involving careful driving are demonstrated. It transpires that when the proportion of good drivers increases, it becomes more difficult to sustain a careful equilibrium whereas an equilibrium of reckless behavior becomes easier to sustain. Various extensions of the models are also presented.