Unveiling Latent Structure of Venture Capital Syndication Networks

Venture capital (VC) is a form of private equity financing provided by VC institutions to startups with high growth potential due to innovative technology or novel business models but also high risks. To against uncertainties and benefit from mutual complementarity and sharing resources and information, making joint-investments with other VC institutions on the same startup are pervasive, which forms an ever-growing complex syndication network. Attaining objective classifications of VC institutions and revealing the latent structure of joint-investment behaviors between them can deepen our understanding of the VC industry and boost the healthy development of the market and economy. In this work, we devise an iterative Loubar method based on the Lorenz curve to make objective classification of VC institutions automatically, which does not require setting arbitrary thresholds and the number of categories. We further reveal distinct investment behaviors across categories, where the top-ranked group enters more industries and investment stages with a better performance. Through network embedding of joint investment relations, we unveil the existence of possible territories of top-ranked VC institutions, and the hidden structure of relations between VC institutions.     

Asymptotic convergence of a simulated annealing algorithm for multiobjective optimization problems

In this paper we consider a simulated annealing algorithm for multiobjective optimization problems. With a suitable choice of the acceptance probabilities, the algorithm is shown to converge asymptotically, that is, the Markov chain that describes the algorithm converges with probability one to the Pareto optimal set.     

Generalized expression of exergy in the thermodynamics

Exergy is the ability of the maximum work done to the objective (relative) outside when the system changes from any state to its dead state. Exergy stems from the gaps of intensive properties between its present state and its dead state. Generalized differential expression of exergy is advanced without any premise conditions, which is composed of generalized intensive and extensive (additive) properties. Any form of exergy can be deduced out from this generalized expression, only if its characteristic intensive and extensive parameters are known. That the exergy of any closed system is never below zero has been proved.     

相干光学系统实现Hough变换

本文介绍了在图像处理、模式识别领域中常用的Hough变换（HT），推导出了HT与傅里叶变换之间的关系，通过对光的传播、傅里叶光学及物镜变化的研究，实现了短的、节省的Hough物镜。     

DETERMINATION OF EFFICIENT RANGE OF TARGET LEVELS IN MULTIPLE OBJECTIVE PLANNING

This paper describes a nonlinear programming model combined with a binary search technique that systematically searches for the minimum value of a given objective within the nondominated solution set. The procedure provides a way of determining the range of efficient target levels for any multiobjective planning problem using information contained in the pay-off table. The method is illustrated using a numerical example.     

On proper and improper efficient solutions of optimal problems with multicriteria

The properness of the efficient solution of the optimal problem with multicriteria has been independently defined by Kuhn and Tucker, Geoffrion, and Klinger. A theorem of Geoffrion describes the relation between Geoffrion's and Kuhn and Tucker's properness. In this paper, the dual part of the theorem is given, and some geometric approach is applied to derive the optimal conditions of proper efficient solutions and improper efficient solutions.     

影响用户换手机的关键因素及其效应研究——基于中国移动西安分公司的样本数据

影响用户换手机的因素有客观因素和主观因素,本研究基于中国移动西安分公司的用户信息数据,根据用户的实际消费和相关非线性多元回归理论,探索了影响用户换手机的客观因素及其效应。研究发现:较长的总通话次数、较大的平均流量和较小的手机屏幕(在用手机)等因素能促进用户换手机;换手机的主要驱动力不是经济能力的差异而是在用手机的屏幕大小;用户的年龄差异对是否换手机的影响可以忽略;城乡标识对是否换手机的影响显著,用户品牌的影响不显著。另外,手机捆绑销售方式的存在,本研究最后站在制造商和运营商的角度,根据以上影响效果给出了提高手机制造商和运营商竞争力的相关建议。     

自适应桁架形状控制中主动杆多目标最优配置

导出自适应桁架结构静态形状控制方程，这些方程在线弹性范围内适用；一般主动杆件数远小于结构杆件数目，且主动杆件的配置问题取决于控制能量和杆件强度等因素，因此基于最短行程和最小导出内力指标和模态退火组合优化算法进行了主动杆件的多目标最优配置；通过算例分析验证了本文分析方法的可行性和有效性。     

A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers

This paper presents an extension of the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method with objective criteria weights for Group Decision Making (GDM) with Interval Numbers (INs). The proposed method is an alternative to popular and often used methods that aggregate the decision matrices provided by the decision makers (DMs) into a single group matrix, which is the basis for determining objective criteria weights and ranking the alternatives. It does not use an aggregation operator, but a transformation of the decision matrices into criteria matrices, in the case of determining objective criteria weights, and into alternative matrices, in the case of the ranking of alternatives. This ensures that all the decision makers’ evaluations are taken into account instead of their certain average. The numerical example shows the ease of use of the proposed method, which can be implemented into common data analysis software such as Excel.