Extrapolated Smoothing Descent Algorithm for Constrained Nonconvex and Nonsmooth Composite Problems*

In this paper, the authors propose a novel smoothing descent type algorithm with extrapolation for solving a class of constrained nonsmooth and nonconvex problems,where the nonconvex term is possibly nonsmooth. Their algorithm adopts the proximal gradient algorithm with extrapolation and a safe-guarding policy to minimize the smoothed objective function for better practical and theoretical performance. Moreover, the algorithm uses a easily checking rule to update the smoothing parameter to ensure that any accumulation point of the generated sequence is an (affine-scaled) Clarke stationary point of the original nonsmooth and nonconvex problem. Their experimental results indicate the effectiveness of the proposed algorithm.     

Elliptic Reconstruction and a Posteriori Error Estimates for Fully Discrete Semilinear Parabolic Optimal Control Problems

This article studies a posteriori error analysis of fully discrete finite element approximations for semilinear parabolic optimal control problems. Based on elliptic reconstruction approach introduced earlier by Makridakis and Nochetto [25], a residual based a posteriori error estimators for the state, co-state and control variables are derived. The space discretization of the state and co-state variables is done by using the piecewise linear and continuous finite elements, whereas the piecewise constant functions are employed for the control variable. The temporal discretization is based on the backward Euler method. We derive a posteriori error estimates for the state, co-state and control variables in the $L^\infty(0,T;L^2(\Omega))$-norm. Finally, a numerical experiment is performed to illustrate the performance of the derived estimators.     

基于财务会计概念框架的会计信息系统的重构

随着信息技术的不断发展和进步,对财务会计概念框架的影响逐渐深入,会计信息系统的完善和使用成为企业财务工作进展的必然工具。但是以概念框架为基础制定的会计准则表现出不完善和更新较慢等缺陷,本文就是在这一社会现实背景下,结合SAP R/3软件设计及会计目标等,对会计业务流程重组、网络财务报告语言(XBRL)做了进一步分析,从而实现了基于财务会计概念框架的会计信息系统的重构。     

纤锌矿结构GaAs(1010)表面特性的第一性原理研究

GaAs纳米线通常呈现纤锌矿结构(WZ),而WZ(1010)侧面已被实验所观测到。利用第一性原理计算了GaAs(1010)的表面弛豫和表面能,计算结果表明:(1010)A表面只出现原子的弛豫现象,表面能为40.6×1020meV/m2;而(1010)B表面却重构形成了GaGa和AsAs二聚体,表面能为63.5×1020meV/m2。相对于ZB(110)表面,WZ(1010)A面具有更低的表面能,(1010)A表面具有更好的稳定性,说明了在表面能占重要影响的纳米线中WZ结构存在的合理性。     

Strain profile reconstruction of fiber Bragg grating with gradient using chaos genetic algorithm and modified transfer matrix formulation

In this paper, a new heuristic approach based on chaos genetic algorithm and modified transfer matrix method is presented to demodulate the fiber Bragg grating strain sensors. To facilitate accurate calculation of the grating reflected intensity spectrum, the modified transfer matrix approach is applied. The motivation for using the spline smooth function scheme is to provide nice approximation of strain profiles from a scattered data set and overcome the difficulty of calculating the strain gradients in local period function of the modified T-matrix formulation for the piecewise constant strain field assumption. The chaos genetic algorithm is developed to improve the performance of GA and optimize the data of control nodes of the spline smooth function, and more valuably, the reconstructed strain profile is continuous with discretionary spatial resolution. The proposed method is verified through numerical example reconstructions of Bragg grating sensor simulated strain profile cases.     

CuPc molecules adsorbed on Au(1 1 0)-(1 × 2): growth morphology and evolution of valence band states

We present the growth morphology, the long-range ordering, and the evolution of the valence band electronic states of ultrathin films of copper phthalocyanine (CuPc) deposited on the Au(1 1 0)-(1 × 2) reconstructed surface, as a function of the organic molecule coverage. The low energy electron diffraction patterns present a (5 × 3) reconstruction from the early adsorption stages. High-resolution UV photoelectron spectroscopy data show the disappearance of the Au surface states related to the (1 × 2) reconstruction, and the presence of new electronic features related to the molecule-substrate interaction and to the CuPc molecular states. The CuPc highest occupied molecular orbital gradually emerges in the valence band, while the interface electronic states are quenched, upon increasing the coverage.     

探讨漫反射全息光路

在全息照相实验教学中,对漫反射全息光路探讨性地作了两方面的改革：(1)分析仪器本身的不完善之处,增加一个薄平板玻璃,解决了布置光路的困难。(2)在漫反射全息光路中,增加参考光的个数,就能增加全息呈像的个数,可以看到与参考光数目相同的衍射再现并排重像的个数。     

基于指数尺度间隔连续小波变换的相位提取算法

只需要一幅调制图像的光栅投影测量方法主要有傅里叶变换轮廓术(FTP)、小波变换轮廓术(WTP)等。采用基于指数尺度间隔的连续小波变换与重构方法,提取调制图像的瞬时相位。针对指数尺度间隔连续小波变换,指出了足够大的噪声能够改变小波变换脊的位置,并且该脊向上移动的概率最大。因此,为了重构载频信号,选择脊及其紧邻的较大的那个尺度所对应的小波系数,采用灰度图像阈值分割中最大类间方差法(OTSU),剔除掉幅值较小的系数;针对斑点噪声的影响,对OTSU算法的结果进行了修正;使用修正后的系数集合重构载频信号,并计算该信号的瞬时相位。理论分析和实验结果表明算法有效且具有稳健性。     

碎片超高速撞击防护结构粒子场三维重构

为模拟空间碎片超高速撞击航天器防护结构表面材料喷射/溅射粒子场演化过程,并获取粒子场相关物理信息,基于粒子场同轴激光全息图像开展了碎片撞击过程的三维重构技术研究.首先对全息图像进行边缘剪切和缩放,将其划分为分辨率300×300左右的子图像以便于进行网格剖分;对于粒子堆叠区域子图像,采用基于三角化的网格剖分算法;剖分后形成的单一粒子采用Sobel算子提取其二维轮廓,然后将其投影到特定的三维空间形成三维形体;基于MAXScript语言实现了粒子场演化过程模拟.重构结果表明,无论是粒子场静态三维重构结果还是其演化过程均与撞击试验全息图像吻合较好,从而验证了该重构技术的有效性,为研究空间碎片对航天器防护结构的损伤效应提供了一种新的思路.     

Phase Transitions in q-States Signal Reconstruction

Compressed sensing is a new signal acquisition method that acquires signal in a compressed form and then recovers the signal by the use of computational tools and techniques. This means fewer measurements of signal are needed and thus it will save huge amount of time and storage space. We, in this paper, consider the compressed sensing of sparse integer-valued signal (referred as “q-states signal” throughout the paper). In order to accelerate the speed of reconstruction, we adopt the sparse rather than dense measurement matrices. Using methods and tools developed in statistical physics, we locate the reconstruction limit for L₀-reconstruction method and propose a belief propagation-based algorithm that can deal with instance with large size and its typical reconstruction performance are also analyzed.