Global Optimization in Any Minkowski Metric: A Permutation-Translation Simulated Annealing Algorithm for Multidimensional Scaling

It is well known that considering a non-Euclidean Minkowski metric in Multidimensional Scaling, either for the distance model or for the loss function, increases the computational problem of local minima considerably. In this paper, we propose an algorithm in which both the loss function and the composition rule can be considered in any Minkowski metric, using a multivariate randomly alternating Simulated Annealing procedure with permutation and translation phases. The algorithm has been implemented in Fortran and tested over classical and simulated data matrices with sizes up to 200 objects. A study has been carried out with some of the common loss functions to determine the most suitable values for the main parameters. The experimental results confirm the theoretical expectation that Simulated Annealing is a suitable strategy to deal by itself with the optimization problems in Multidimensional Scaling, in particular for City-Block, Euclidean and Infinity metrics.     

A non-commutative time-frequency tomography

The characterization of non-stationary signal requires joint time and frequency information. However, time and frequency are a pair of non-commuting variables that cannot constitute a joint probability density in the time-frequency plane. The time-frequency distributions have difficult interpretation problems arising from negative and complex values or spurious components. In this paper, we get time-frequency information from the marginal distributions in rotated directions in the time-frequency plane. The rigorous probability interpretation of the marginal distributions is without any ambiguities. This time-frequency transformation is similar to the computerized axial tomography (CT or CAT) and is applied to signal analysis and signal detection and reveals a lot of advantages especially in the signal detection of the low signal/noise (S/N).     

ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS

In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results.     

逆向物流网络结构研究

文章介绍了逆向物流概念,分析了发展逆向物流的必要性和紧迫性,从逆向物流的结构特征出发,以不同的角度对逆向物流系统做了分类研究,然后从逆向物流的网络着手,分析了逆向物流网络的构建环境、网络特征和网络类型。     

A theoretical model for mid-and low-latitude ionospheric electric fields in realistic geomagnetic fields

The geomagnetic fields, which play important roles in the ionospheric dynamo, can greatly affect the global distribution of ionospheric electric fields, currents and other ionospheric electrodynamics phenomena. In the study of ionospheric electrodynamics phenomena, such as the longitudinal variations of ionospheric electric fields, the non-dipolar component of the geomagnetic fields must be taken into account. In this paper, we deduce a theoretical electric field model for ionospheric dynamo at mid- and low-latitude which adopt a modified magnetic apex coordinates system. In the new electric field model, the geomagnetic fields can be calculated from either the IGRF model or the dipole field model, and the neutral winds and conductivities are calculated based on empirical models. Then the dynamo equation for the electric potential is finally solved in terms of the line-by-line iteration method, and the ionospheric electric fields and currents are derived from the calculated potential. Our model can reproduce the main features of the ionospheric electrodynamics processes, so it will be a useful tool for the investigation of the upper atmosphere and ionosphere.     

透过况周颐看梦窗"七宝楼台"——谈梦窗词艺术体性

“七宝楼台”是人们对梦窗词的流行看法。而清末词学大家况周颐却从其炫目的形式美之外,看到梦窗词具有的内在“魄力”,并从“重、拙、大”的词学思想出发,肯定了梦窗词的成就。     

水稻新品种海科115的选育

本文介绍水稻新品种海科115的选育。要选育高产、优质、高抗的新品种应该注重:根据海南气候的特点和生产实际需要;选择主要性状互补性强、优点多缺点少的品种作亲本;选育过程、重视库源比,通过长粒化来达大粒化和提高结实率;注重抗源的利用和抗病性状的选择。     

一种求解刚体3D运动参数的鲁棒算法

提出一种基于鲁棒统计学中位数的３Ｄ运动参数估计方法，能够有效地克服由于出格点造成的粗差，并且不需任何参数初始值，整个算法计算简便，计算机模拟显示，其估计精度是令人满意的。     

水电站钢蜗壳与外围混凝土结构的受力特性研究

应用三维有限元法，结合我国龙羊峡，岩滩，宝珠寺水电站的厂房蜗壳结构，研究了钢蜗壳与外围混凝土之间设置软垫层情况下的蜗壳与外围混凝土结构的位移及应力分布规律，给出了钢蜗壳及外围混凝土结构的几个主要受力特性。     

世界经济层内进化浅论

本文将物理系统层内进化扩展到世界经济系统中去，通过对世界经济循环结构与物理系统进化的层次结构关系的探讨，论述了世界经济周期的特征及经济周期的熨平作用。