Machine learning model based on non-convex penalized huberized-SVM

The support vector machine(SVM)is a classical machine learning method.Both the hinge loss and least absolute shrinkage and selection operator(LASSO)penalty are usually used in traditional SVMs.However,the hinge loss is not differentiable,and the LASSO penalty does not have the Oracle property.In this paper,the huberized loss is combined with non-convex penalties to obtain a model that has the advantages of both the computational simplicity and the Oracle property,contributing to higher accuracy than traditional SVMs.It is experimentally demonstrated that the two non-convex huberized-SVM methods,smoothly clipped absolute deviation huberized-SVM(SCAD-HSVM)and minimax concave penalty huberized-SVM(MCP-HSVM),outperform the traditional SVM method in terms of the prediction accuracy and classifier performance.They are also superior in terms of variable selection,especially when there is a high linear correlation between the variables.When they are applied to the prediction of listed companies,the variables that can affect and predict financial distress are accurately filtered out.Among all the indicators,the indicators per share have the greatest influence while those of solvency have the weakest influence.Listed companies can assess the financial situation with the indicators screened by our algorithm and make an early warning of their possible financial distress in advance with higher precision.

Drag Coefficient of a Non-Convex Polygonal Plate during Free Fall

Waterside creatures or aquatic organisms use a fin or web to generate a thrust force. These fins or webs have a non-convex section, referred to as a non-convex shape. We investigate the drag force acting on a non-convex plate during unsteady motion. We perform the experiment in a water tank during free fall. We fabricate the non-convex plate by cutting isosceles triangles from the side of a convex hexagonal plate. The base angle of the triangle is between 0° to 45°. The base angle is 0 indicates the convex hexagonal thin plate. We estimate the drag coefficient with the force balance acting on the model based on the image analysis technique. The results indicate that increasing the base angle by more than 30° increased the drag coefficient. The drag coefficient during unsteady motion changed with the growth of the vortex behind the model. The vortex has small vortices in the shear layer, which is related to the Kelvin-Helmholtz instabilities.

Impact Force Localization and Reconstruction via ADMM-based Sparse Regularization Method

In practice,simultaneous impact localization and time history reconstruction can hardly be achieved,due to the illposed and under-determined problems induced by the constrained and harsh measuring conditions.Although l_(1) regularization can be used to obtain sparse solutions,it tends to underestimate solution amplitudes as a biased estimator.To address this issue,a novel impact force identification method with l_(p) regularization is proposed in this paper,using the alternating direction method of multipliers(ADMM).By decomposing the complex primal problem into sub-problems solvable in parallel via proximal operators,ADMM can address the challenge effectively.To mitigate the sensitivity to regularization parameters,an adaptive regularization parameter is derived based on the K-sparsity strategy.Then,an ADMM-based sparse regularization method is developed,which is capable of handlingl_(p) regularization with arbitrary p values using adaptively-updated parameters.The effectiveness and performance of the proposed method are validated on an aircraft skin-like composite structure.Additionally,an investigation into the optimal p value for achieving high-accuracy solutions vial_(p) regularization is conducted.It turns out that?_(0.6)regularization consistently yields sparser and more accurate solutions for impact force identification compared to the classicl_(1) regularization method.The impact force identification method proposed in this paper can simultaneously reconstruct impact time history with high accuracy and accurately localize the impact using an under-determined sensor configuration.

Homotopy Method for Non-convex Programming in Unbonded Set

In the past few years, much and much attention has been paid to the method for solving non-convex programming. Many convergence results are obtained for bounded sets. In this paper, we get global convergence results for non-convex programming in unbounded sets under suitable conditions.

Polyhedral symmetry and quantum mechanics

A thorough study of regular and quasi-regular polyhedra shows that the symmetries of these polyhedra identically describe the quantization of orbital angular momentum, of spin, and of total angular momentum, a fact which permits one to assign quantum states at the vertices of these polyhedra assumed as the average particle positions. Furthermore, if the particles are fermions, their wave function is anti-symmetric and its maxima are identically the same as those of repulsive particles, e.g., on a sphere like the spherical shape of closed shells, which implies equilibrium of these particles having average positions at the aforementioned maxima. Such equilibria on a sphere are solely satisfied at the vertices of regular and quasi-regular polyhedra which can be associated with the most probable forms of shells both in Nuclear Physics and in Atomic Cluster Physics when the constituent atoms possess half integer spins. If the average sizes of the constituent particles are known, then the average sizes of the resulting shells become known as well. This association of Symmetry with Quantum Mechanics leads to many applications and excellent results.

Simulation of bacterial flagellar phase transition by non-convex and non-local continuum modeling

Bacterial flagellar filament can undergo a stress-induced polymorphic phase transition in both vitro and vivo environments.The filament has 12 different helical forms(phases) characterized by different pitch lengths and helix radii.When subjected to the frictional force of flowing fluid,the filament changes between a left-handed normal phase and a right-handed semi-coiled phase via phase nucleation and growth.This paper develops non-local finite element method(FEM) to simulate the phase transition under a displacement-controlled loading condition(controlled helix-twist).The FEM formulation is based on the Ginzburg-Landau theory using a one-dimensional non-convex and non-local continuum model.To describe the processes of the phase nucleation and growth,viscosity-type kinetics is also used.The non-local FEM simulation captures the main features of the phase transition:two-phase coexistence with an interface of finite thickness,phase nucleation and phase growth with interface propagation.The non-local FEM model provides a tool to study the effects of the interfacial energy/thickness and loading conditions on the phase transition.

金属有机多面体材料的制备及应用进展

金属有机多面体(MOPs)是由无机金属离子和具有特定结构的有机配体通过自组装的形式合成的。MOPs是一种高度有序和离散分子结构的无机有机杂化材料,具有高孔隙率、可调节的孔径、化学稳定性以及可定制的功能等特点,应用前景广阔。总结了MOPs的制备方法及应用进展,指出了MOPs材料发展的制约因素及未来MOPs材料的发展方向。

金属玻璃切削中原子结构演化分子动力学研究

金属玻璃具有中短程有序、长程无序的结构特性,这些中短程有序结构对金属玻璃的加工过程极为敏感。为研究金属玻璃原子结构的特点,分析在纳米切削过程中金属玻璃原子结构的演化趋势,应用分子动力学方法,以0.1 K/s的冷却速率制备Zr52Cu20Ti16Ni12金属玻璃模型,并对模型进行室温纳米切削模拟。采用径向分布函数分析法和Voronoi多面体分析法对纳米切削过程中原子组态的演化进行分析,分析结果表明,配位数为12的原子结构是局域应变的主要承担者。

A Positioning Method and Realization on Single Satellites in Different Orbits Using TDOA

The main geolocation technology currently used in COSPAS-SARSAT system is TDOA/FDOA or three-star TDOA,the principle is to determine the location of the signal source by using the difference in arrival time and frequency of the wireless signal between different receivers.Therefore,ground monitoring stations need to be equipped with more than two antenna receiving stations,and multiple satellites should be able to simultaneously relay the distress signal from the target source in order to achieve the geolocation function.However,when the ground receiving system has only one antenna receiving station,or the target source is in a heavily obscured environment,the ground side is unable to receive the forwarded signals from multiple satellites at the same time,which will make it impossible to locate.To address these problems,in this paper,a time-sharing single satellite geolocations method based on different orbits is proposed for the first time.This method uses one or several low-earth orbit satellites(LEO)and mediumearth orbit satellites(MEO)in the visible area,and the receiving station only needs one pair of receiving antennas to complete the positioning.It can effectively compensate for the shortcomings of the traditional TDOA using the same moment and have better positioning accuracy compared with the single satellite in the same orbit.Due to the limited experimental conditions,this paper tests the navigation satellite using different orbit time-sharing single satellite geolocations,and proves that the positioning method has high positioning accuracy and has certain promotion and application value.

Enhancing photoresponsiveness of metal-organic polyhedra by modifying microenvironment

Photoresponsiveness of materials is critical to their tunability and efficiency in terminal applications.Photoresponsive metal-organic polyhedra(PMOPs)feature intrinsic pores and remote controllability,but aggregation of PMOPs in solid state hampers their photoresponsiveness seriously.Herein,we report the construction of a new PMOP(Cu_(24)(C_(16)H_(12)N_(2)O_(4))_(12)(C_(18)H_(22)O_(5))12,denoted as MOP-PR-LA),where long alkyl(LA)chains act as the intermolecular poles,propping against adjacent PMOP molecules to create individual microenvironment benefiting the isomerization of photoresponsive(PR)moieties.Upon ultraviolet(UV)-and visible-light irradiation,MOP-PR-LA is much easier to isomerize than the counterpart MOP-PR without LA.For propylene adsorption,MOP-PR has a low change of adsorption capacity(9.9%),while that of MOP-PR-LA reaches 58.6%.Density functional theory calculations revealed that PR in the cis state has a negative effect on adsorption,while the trans state of PR favors adsorption.This work might open an avenue for the construction of photoresponsive materials with high responsiveness and controllability.

Non-Convex Optimization of Resource Allocation in Fog Computing Using Successive Approximation

Fog computing can deliver low delay and advanced IT services to end users with substantially reduced energy consumption.Nevertheless,with soaring demands for resource service and the limited capability of fog nodes,how to allocate and manage fog computing resources properly and stably has become the bottleneck.Therefore,the paper investigates the utility optimization-based resource allocation problem between fog nodes and end users in fog computing.The authors first introduce four types of utility functions due to the diverse tasks executed by end users and build the resource allocation model aiming at utility maximization.Then,for only the elastic tasks,the convex optimization method is applied to obtain the optimal results;for the elastic and inelastic tasks,with the assistance of Jensen’s inequality,the primal non-convex model is approximated to a sequence of equivalent convex optimization problems using successive approximation method.Moreover,a two-layer algorithm is proposed that globally converges to an optimal solution of the original problem.Finally,numerical simulation results demonstrate its superior performance and effectiveness.Comparing with other works,the authors emphasize the analysis for non-convex optimization problems and the diversity of tasks in fog computing resource allocation.

形成多角体的杆状病毒载体系统的建立

用具有多聚A信号、不带翻译起始密码子ATG或含三种读码框ATG的寡聚核苷酸为聚合接头,构建了含多角体蛋白基因、并能利用人工合成启动序列和多角体蛋白XIV启动子表达外源基因的转移载体质粒pSXIVVI^+X_3系列。为便于重组毒株的筛选,还组建了含合成启动子和β-半乳糖苷酶基因的无包含体粉纹夜蛾核型多角体病毒株TnNPV-SVI^-G,并由此建立起以上述质粒为转移载体,形成多角体及能在X-gal半固体培养基中呈白斑,具有易于辨认遗传标志的TnNP V表达载体系统。

多面体的Minkowski和计算研究综述

Minkowski和是计算几何和机器人学研究重要内容之一,在几何推理、路径规划和计算机辅助制造等领域有着重要的作用.经过近三十年的发展,研究人员已经给出了一些精确有效的Minkowski和计算方法.本文介绍Minkowski和的基本概念、性质和主要计算方法,说明了Minkowski和计算的要点和关键环节,对主要计算方法从可行性、精度、效率和适用性四个方面进行了对比分析,综述了Minkowski和计算的研究进展情况,最后讨论了目前存在的主要问题并指出下一步深入研究的思路和方向,为Minkowski和计算的理论研究和实践应用提供了有价值的参考.

基于阈值剖分的多面体Minkowski和计算

Minkowski和在几何推理、路径规划和碰撞检测等领域有着重要应用.针对非凸多面体Minkowski和计算过程中剖分和合并复杂度过高的问题,提出一种基于阈值剖分的非凸多面体Minkowski和计算方法,采用剖分测度、相对剖分测度对多面体剖分部分的显著性水平进行度量,通过给定的阈值确定有效剖分,在阈值化剖分的基础上进一步优化Minkowski和的计算过程和合并步骤.实验结果表明,所提出的方法具有较高的实用性和适用性,能够有效地解决非凸多面体Minkowski和计算的瓶颈问题,为多面体Minkowski和计算的理论研究和实践应用提供了有价值的理论参考.

绳牵引并联机构拉力分布优化

由于绳只能承受拉力,绳牵引并联机构必须采用冗余驱动。这种驱动冗余性导致无法平凡地求解各根绳的拉力值。而机构运动控制必须实时计算各根绳的拉力。为寻找绳拉力的优化解,必须研究绳拉力分布的优化问题。引入Verhoeven将绳拉力优化问题转换成一个在凸多面体上的非线性优化问题的研究方法,即将绳拉力的优化解表示成最低解和最高解的线性插值。由于优化解在某些情况下不连续,有必要将优化解做p-范数近似表达。探讨优化解的p-范数近似表达的实际算法,并对4根绳牵引的2自由度并联机构的最高解和最低解求解进行实例仿真。

硫酸盐类晶体中[SO_4]^(2-)四面体的结晶方位与晶体的形貌

本文从硫酸盐类晶体中负离子配位多面体的结晶方位和相互联结的稳定性出发，探讨了硫酸盐类晶体中[SO4]2-结晶方位与晶体结晶形貌之间的关系;认为[SO4]2-四面体与金属阳离子（Ba2+、Ca2+、Mg2+…）结合时，由于晶体结构和生长条件（如温度、过饱和度等）的不同，在晶体各族晶面上的叠合速率和取向不同;晶体的结晶形貌迥然有别.晶体的结晶形貌与[SO4]2-四面体在晶体中的结晶方位密切相关，四面体的面和棱的法线（L2）所对向的晶面，生长速率慢，顽强显露，均属晶体的板面;四面体的顶角所指向的晶面，生长速率快，显露面积小，经常消失.

极性晶体结晶习性的形成机理

将负离子配位多面体生长基元模型应用于对极性晶体结晶习性的研究。从结晶化学角度探讨了晶体中负离子配位多面体的结晶方位与晶体各族晶面显露规律，提出负离子配位多面体在晶体各族晶面上联结的稳定性决定了晶面的生长速率。在不同的生长温度和溶液碱浓度下，负离子配住多面体相互联结构成不同维度的生长基元，而不同维度的生长基元往晶体各族晶面上叠合的速率比例是在变化的，这是导致晶体结晶形态多变性的主要原因。同时提出：如果把PBC模型中的化学键链设定为配位多面体相联结的键链，使得极性晶体结晶习性中难以解释的问题就会迎刃而解，从而使PBC理论模型的应用会得到更进一步的拓宽。

水热条件下Cu_2O的连生习性

Cu2 O具有立方体、八面体、菱形十二面体、四角三八面体、三角三八面体等多种单形。其形貌特征因不同的制备方法而各异。本文首次发现在水热条件下 ,Cu2 O出现取向连生的形貌特征。{ 10 0 }面为连生面。

一种面向地理信息系统的空间索引方法

空间检索技术是有效地管理和操纵空间数据的一种必要手段。本文分析了目前常用的空间检索方法在地理信息系统应用上的局限性 ,提出了一种基于凸多边形的空间索引技术。本文首先介绍了目前常用的几类空间索引技术及其特点 ,接着讨论了面向地理信息的空间索引技术面临的基本问题 ,提出了基于凸多边形的空间索引结构—— CP-树 ,并侧重分析了其空间运算算法及时空效率 ,最后指出了空间索引技术所存在的问题及下一步的研究方向。