基于自适应权重的函数型数据聚类方法研究

基于有限维离散数据的传统聚类分析并不能直接用于函数型数据的分类挖掘。本文针对函数型数据的稀疏性和无穷维特殊性展开讨论,在综合剖析现有函数型聚类方法优势与不足的基础上,依据聚类指标的信息量差异重构加权主成分距离为函数相似性测度,提出了一种函数型数据的自适应权重聚类分析。相对同类函数型聚类算法,新方法的核心优势在于:(1)自适应赋权的距离函数体现了聚类指标分类效率的差异,并且有充分的理论基础保证其必要性和客观合理性;(2)基于有限维离散数据的聚类实现了无限维连续函数的聚类,能够显著降低计算成本。实证检验表明,新方法的分类正确率明显提高,能够有效解决传统聚类算法极端情形下的失效问题,有着复杂函数型数据分类问题下的灵活性和普遍适用性。     

基于变分贝叶斯优化的近邻采样 PF-SLAM 算法

针对移动机器人同时定位与地图构建（SLAM）中观测噪声随时间变化及粒子滤波(PF)中粒子多样性易丧失问题,提出基于变分贝叶斯优化的近邻采样PF-SLAM算法。采用高斯混合模型对时变的观测噪声建模,使用变分贝叶斯方法,迭代估算出混合模型中的未知参数;同时根据粒子权重将粒子划分为保留粒子和调整粒子,通过两种粒子间的近邻位置分布关系优化调整粒子位置,在处理时变观测噪声同时,解决粒子多样性丧失问题,使得优化的粒子集更好地表示机器人位置概率分布。实验表明,改进算法与传统PF-SLAM算法相比,定位与建图误差降低76%,较期望最大化算法下的定位与建图误差降低了54%,进一步验证了所提算法的可行性与有效性,为移动机器人同时定位与建图提供一定参考。     

Optimization designed large-stroke MEMS micromirror for adaptive optics

A novel micromirror based on the PolyMUMPs process is designed and presented. The hexagonal micromirror with a diameter of 450 μm consists of three supporting bilayer cantilevers and a mirror plate. The bilayer cantilevers, formed with a polysilicon layer and a gold layer, elevate the mirror plate according to residual stress-induced bending. Both analytical and finite element analysis (FEA) models are built to calculate the elevated height of the free end of the cantilever. The analytical solution is in accordance with the FEA simulation results, with longitudinal stresses applied only. Results of a three-dimensional (3D) simulation with two direction stresses applied also show the elevated height to be proportional to the width of the cantilever and the length of the gold layer. Due to the torque of the joint, the elevated heights of the two kinds of cantilevers assembled with the mirror plates are much smaller than those of the free end of the cantilevers. Both micromirrors with different cantilevers are fabricated. The elevated heights of the fabricated micromirrors are measured using Veeco optical profiler, which show good coincidence with simulation results.     

高温烧蚀初始印记及其发展的研究

直接驱动惯性约束聚变（ICF）中，高温烧蚀初始印记（Imprint）产生的密度调制经过瑞和泰勒（RT）不稳定性发展得到放大，会破坏对称压缩，降低聚变增益，甚至导致点火失败。为此，从实验上研究了调制深度约为1／5的正弦调制激光作用厚CH靶（驱动激光结束时刻，靶背未开始移动）时的Imprint及其发展情况，并进行了初步的模拟计算分析。     

THEORY OF DIELECTRIC ELASTOMERS

In response to a stimulus, a soft material deforms, and the deformation provides a function. We call such a material a soft active material （SAM）. This review focuses on one class of soft active materials： dielectric elastomers. When a membrane of a dielectric elastomer is subject to a voltage through its thickness, the membrane reduces thickness and expands area, possibly straining over 100%. The dielectric elastomers are being developed as transducers for broad applications, including soft robots, adaptive optics, Braille displays, and electric generators. This paper reviews the theory of dielectric elastomers, developed within continuum mechanics and thermodynamics, and motivated by molecular pictures and empirical observations. The theory couples large deformation and electric potential, and describes nonlinear and nonequilibrium behavior, such as electromechanical instability and viscoelasticity. The theory enables the finite element method to simulate transducers of realistic configurations, predicts the efficiency of electromechanical energy conversion, and suggests alternative routes to achieve giant voltage-induced deformation. It is hoped that the theory will aid in the creation of materials and devices.     

Analytical Solitary Wave Solutions to a （3＋1）-Dimensional Gross-Pitaevskii Equation with Variable Coefficients

A （3＋1）-dimensional Gross-Pitaevskii （GP） equation with time variable coefficients is considered, and is transformed into a standard nonlinear Schrodinger （NLS） equation. Exact solutions of the （3＋1）D GP equation are constructed via those of the NLS equation. By applying specific time-modulated nonlinearities, dispersions, and potentials, the dynamics of the solutions can be controlled. Solitary and periodic wave solutions with snaking and breathing behavior are reported.     

Control of a Unified Chaotic System via Single Variable Feedback

Based on the LaSalle invariance principle, we propose a simple adaptive-feedback for controlling the unified chaotic system. We show explicitly with numerical proofs that our method can easily achieve the control of chaos in the unified chaotic system using only a single variable feedback. The present controller, to our knowledge, is the simplest control scheme for controlling a unified chaotic system.     

反射面形状对光纤位移传感器光强调制特性的影响

为了分析反射面形状对单模光纤照射的光纤位移传感器光强调制特性的影响,建立了反射面不为平面时的光强调制特性函数模型.该模型基于单模光纤出射光场为修正近似高斯分布假设,通过引入反射面形状因子,分析了反射面形状因子对光强调制特性的影响规律.仿真结果表明,随着凹形反射面曲率半径值的增大,传感器特性曲线的前坡无显著变化,而后坡灵敏度增大,线性范围减小;随着凸形反射面曲率半径值的增大,传感器特性曲线的前坡仍无显著变化,而后坡灵敏度减小,线性范围增大;当曲率半径增大的一定值时,反射面的非平面性影响较小,其作用趋近于平面.     

闪光照相CCD图像的自适应中值滤波方法

中值滤波是一种在去除噪声的同时能较好地保护图像边缘细节的非线性图像处理方法。为了滤除闪光照相CCD图像中的脉冲噪声，同时能更好地保护图像边缘，提出了一种改进的自适应中值滤波方法。该方法采用局部中值和局部方差作为判断噪声点的阈值，实现了局部自适应的中值滤波，克服了传统自适应中值滤波方法的缺点，对椒盐噪声和随机脉冲噪声均有较好的滤波效果。实验结果表明，该方法消除图像脉冲噪声十分有效，对闪光照相CCD图像的处理结果也较好。     

色散磁导率对异向介质中的调制不稳定性的影响

基于Drude模型研究了异向介质的色散磁导率对调制不稳定性的影响. 结果表明，在反常色散情形，赝五阶非线性在异向介质的负折射区中增大了调制频谱的范围及增益值，这与常规正折射介质中出现的现象正好相反；自陡峭效应在异向介质中有可能为负值，但无论正负，也无论在正折射区还是负折射区，它都抑制调制不稳定性的产生；二阶非线性色散效应在正、负折射区中分别促进和抑制调制不稳定性的产生. 在正常色散情形，由于二阶非线性色散效应的作用，使本来在常规正折射介质中不可能出现的调制不稳定性现象也能出现，这一特性为在正常色散区形成孤