A simple and efficient algorithm for fused lasso signal approximator with convex loss function

We consider the augmented Lagrangian method (ALM) as a solver for the fused lasso signal approximator (FLSA) problem. The ALM is a dual method in which squares of the constraint functions are added as penalties to the Lagrangian. In order to apply this method to FLSA, two types of auxiliary variables are introduced to transform the original unconstrained minimization problem into a linearly constrained minimization problem. Each updating in this iterative algorithm consists of just a simple one-dimensional convex programming problem, with closed form solution in many cases. While the existing literature mostly focused on the quadratic loss function, our algorithm can be easily implemented for general convex loss. We also provide some convergence analysis of the algorithm. Finally, the method is illustrated with some simulation datasets.     

Relativistic Mean Field Study of the Z=117 Isotopic Chain

The properties of the Z = 117 isotopic chain are studied within the framework of the axially deformed relativistic mean field theory （RMFT） in the blocked BCS approximation. The ground-state properties, such as hinging energies, deformations as well as the possible α decay energies and lifetimes are calculated with the parameter set of NL-Z2 and compared with results from the finite range droplet model. The analysis by RMFT shows that the isotopes in the range of mass number A =291 ~ 300 exhibit higher stability, which suggests that they may be promising nuclei to be hopefully synthesized in the lab among the nuclei Z = 117.     

Li,N双受主共掺杂实现p型ZnO的第一性原理研究

基于密度泛函理论,采用第一性原理平面波超软赝势法,首先对六方纤锌矿结构的ZnO晶体和N,Li分别掺杂ZnO以及Li-N共掺杂ZnO晶体的几何结构分别进行了优化计算,在此基础上计算得到了未掺杂ZnO晶体和不同掺杂情况下ZnO晶体的能带结构、总体态密度、分波态密度和电荷布居数.利用计算的结果,从理论上分析了Li-N共掺杂ZnO更容易得到稳定的p型ZnO. 关键词： ZnO 电子结构 第一性原理 p型共掺杂     

脉冲成形网络参数对轨道型电磁驱动系统效率的影响

针对分布馈电式(DES)轨道型电磁驱动系统,建立了基于PSpice的电路模型;采用最常见的电容储能方式构成脉冲成形网络(PFN);负载模型充分考虑电枢运动时的滑动摩擦,以及导轨电感、电阻等非线性因素。由仿真结果得到的电流值可以计算出电枢所承受的电磁力,从而得到电枢的加速度、速度,以及动能。分别选取不同电容器组的电容量或初始电压,脉冲成形电感器的电感量,主放电开关的闭合时间间隔,以及PFN模块参数(包括模块的数量、结构等),进行仿真分析,得出在各种参数下的系统效率,并加以比较,确定了几种可以有效提高轨道型电磁驱动系统效率的方法或者最优化的参数。仿真结果表明:在电枢质量与加速距离不变的条件下,电容器组的电容量或初始电压越高,电枢初速度越大,而系统效率随着电压的升高先增大后减小;脉冲成形电感器的电感量越大,电感器中的剩余能量越大,系统效率越低;主放电开关的闭合时间间隔越短,系统的效率越高;在初始能量一定的前提下,电源的模块数越多,电枢的出膛速度越大,系统效率也越高,可以通过采用多组小电容值的电容,来提高系统的效率;优化的PFN模块参数设计能够提高系统的效率。     

高能X射线源焦斑尺寸的时间分辨诊断

将门控分幅相机与快闪烁晶体结合,构成时间分辨X射线诊断系统,对神龙一号直线感应加速器产生的高能脉冲X射线源焦斑进行了测量,在时间间隔为10 ns的情况下,获得了焦斑尺寸随时间的变化曲线。在此基础上,设计了单像素尺寸为0.78 mm×0.78 mm的LYSO闪烁晶体阵列,并进行了X射线照射晶体阵列发光的初步实验,结果表明该阵列可用于高能X射线源焦斑的时间分辨诊断,并能显著提高成像的空间分辨力。     

氢化硅薄膜光吸收近似特性研究

利用等离子体化学气相沉积系统在直流电压源和射频源的双重激励下,以康宁7059玻璃为衬底制备了氢化硅薄膜．过测定氢化硅薄膜Raman光谱,对薄膜微结构进行了表征;建立氢化硅薄膜的光吸收模型,计算出薄膜的光吸收系数和光学带隙,和实验结果基本一致,说明该模型符合实验结果;并利用该模型计算的光吸收系数和光学带隙,结合AMPS软件对设计的太阳电池结构进行了模拟,给出的I-V特性曲线变化趋势与实验结果基本符合,同时对实验结果与模拟结果存在差异的原因进行了分析,并给出合理解释． 关键词： 氢化硅薄膜 光吸收系数 光吸收模型     

矩阵不等式约束下矩阵方程AX=B的双对称解

本文讨论矩阵不等式CXD≥E 约束下矩阵方程AX=B的双对称解,即给定矩阵A,B,C,D和 E, 求双对称矩阵X, 使得AX=B 和 CXD≥E, 其中CXD≥E表示矩阵CXD-E非负.本文将问题转化为矩阵不等式最小非负偏差问题,利用极分解理论给出了求其解的迭代方法,并结合相关矩阵理论说明算法的收敛性.最后给出数值算例验证算法的有效性.     

Nuclear structure around ~(80)Zr

Recent years have witnessed intense activity concerning the study of nuclei with equal numbers of neutrons and protons (N = Z). Exotic properties have been exhibited in the N = Z nuclei, especially in those with atomic masses around 80. In the present paper, the projected shell model(PSM)together with a relativistic Hartree-Bogoliubov (RHB) theory is used to study the nuclear structure near the N = Z line in the mass A ≈ 80 region. For three Zr isotopes 80,82,84Zr, the projected potential energy surfaces and ground state bands are calculated. It is shown that shape coexistence occurs in all of these nuclei. Moreover, we find that the residual neutron-proton interaction strongly affects the ground state band of 80Zr; however, it slightly modifies those of 82Zr and 84Zr.     

大规模富社团网络的时空混沌同步

以Plankton时空混沌系统作为网络节点,通过非线性耦合构成富社团(rich-club,RC)网络,研究其时空混沌同步规律.首先给出了RC网络中连接节点之间的非线性耦合函数的一般性选取原则.进而基于Lyapunov稳定性定理,理论分析了实现网络同步的条件.最后,通过仿真模拟检验了网络的时空混沌同步效果.仿真研究表明,RC网络中各富节点之间以及这些富节点各自星形连接的子网络中的所有节点均实现了完全同步。     

Operators’s-parameterized ordering and its classical correspondence in quantum optics theory

In reference to the Weyl ordering xmpn→(1/2)mΣι=0m(ιm)Xm-ιPnXι , where X and P are coordinate and momentum operator, respectively, this paper examines operators’s-parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondence ((1-s)/2)(n+m)/2Hm,n((2/(1-s))～(1/2)α,(2/(1-s))～(1/2)α)→a+man,and its complementary relation αnα*m→(-i)n+m((1-s)/2)(m+n)/2:Hm,n(i(2/(1-s))～(1/2)a+,i((2/(1-s))～(1/2)a):,where H m,n is the two-variable Hermite polynomial, a, a+ are bosonic annihilation and creation operators respectively, s is a complex parameter. The s’-ordered operator power-series expansion of s-ordered operator sa+mans in terms of the two-variable Hermite polynomial is also derived. Application of operators’s-ordering formula in studying displaced-squeezed chaotic field is discussed.