基于信息增益和Bagging集成学习算法的个人信用评估模型研究

机器算法中存在许多不同类型和方式的运行模式,而在诸多算法之中,集成学习的算法是一种基于统计理论以计算机实现的良好机器学习方法.阐述了集成学习的基本思想和实现步骤,运用Bagging集成学习算法试图建立一个个人信用评估模型,以期取得更好的预测结果.运用信息增益法筛选指标,采用V折交叉确认法,利用UCI的信用数据对单个分类器、Bagging集成分类器模型的分类精度和稳健性进行试验比较.结果表明,Bagging-决策树有效的提高了样本的精确性,在个人信用评估的分析中占有较强的优势.     

Gompertz模型和Logistic模型的拟合

常见的三参数 S形生长模型有 Gompertz模型和 L ogistic模型 .它们在拐点处的坐标、导数与它们的参数是能够相互唯一确定的 .当利用拟事隐函数曲线的 GNL 法对这两种模型进行最小二乘拟合时 ,可根据这一性质对单个未线性化参数的初始值进行搜索 .有时也可对该初始值直接进行搜索 .最后以几个实例成功地对这种算法进行了验证     

基于二次运输函数博弈方法的应用研究

博弈论在市场竞争分析中具有广泛的应用,通过构建基于二次运输函数的市场竞争模型,运用博弈论方法研究产品市场竞争情况.放松厂商定位的约束条件,市场竞争的空间扩大了.结果表明,当市场中两垄断厂商定位不局限于消费者分布的线性空间时,市场环境加剧了厂商之间的竞争,但厂商博弈的均衡仍然存在.该模型是研究网络环境下产品市场竞争策略的有效方法.     

高维泊松回归的模型平均方法

当有很多候选模型并且不确定使用哪个模型时,模型平均是一种值得采用的方法.相对于单个模型,模型平均通常能够提高预测精度.文章提出了高维泊松回归的模型平均方法,证明了其最优性质,并通过数值模拟发现该方法能够提高计数变量的预测精度.同时,考虑到高维数据下,候选模型过多的问题,文章也提出了一种新的模型筛选方法:基于最小角回归(LARS)的LASSO(或ALASSO)修正算法的模型筛选方法.该种方法,可以大大减少计算负担.数值模拟也显示了该方法有很好的表现.     

能谱CT投影域降噪算法的比较研究

能谱CT的光子计数探测器可以将较宽的能谱按照选定的能量段进行计数,得到物体在不同能段的成像信息.由于能谱CT需要确定能量通道,且单个窄谱通道探测的光子数为总光子数的一部分,数目减少,导致窄谱投影数据的噪声增大.为降低低能噪声对成像结果的影响,将传统MAP降噪算法,基于各向异性模型的改进MAP算法及SB(Split Bregman)算法引入能谱CT投影域去噪中.首先通过选定一个能量来验证三种算法对能谱CT的适用性.然后分别对三个确定的能量通道添加高斯噪声,使用上述算法分别去噪,并对去噪后投影使用FBP,OS-SART算法重建,结果表明三种算法均可以有效去噪,且改进的MAP算法优于传统MAP算法,SB算法去噪效果最佳.     

价格领先模型中Cartel的稳定值特征

采用一个三阶段价格领先博弈模型研究Cartel的稳定值特征.发现当产业规模较小的时候,Cartel稳定值可以是全联盟或者包含大多数厂商.另外,稳定Cartel的规模受厂商的成本水平影响,产业中的厂商越是成本有效,结果越趋于全合作.然而,当产业规模足够大且厂商成本足够高时,均衡结果只包含3个厂商.     

信息技术投入对市场均衡的影响及厂商策略分析

主要利用Hotelling模型分析厂商采取信息技术降低生产成本时对于市场均衡的影响,证明了信息技术投入多、具有信息技术优势的厂商的厂商与信息技术投入少、信息技术劣势的厂商相比,前者拥有更低的成本与价格,以及更高的市场份额与利润.并且随着信息技术对于降低成本的贡献率的不断增大,信息技术优势厂商所获得的利润也不断增多.回答了当存在信息技术水平不同时,厂商相应的策略选择问题.     

一类客户预订商品的最优契约设计模型

在假设厂商不会违约的前提下,建立了预订商品最优契约设计模型,讨论了定金优化选择问题.模型指出最优的定金ω-恰是厂商所售产品的利润,而主合同中规定客户购买该产品续交的资金ω恰为产品的成本c.最后指出,厂商向客户提供预订服务能够增加交易的总剩余,提高市场交易的福利.     

基于云模型的极端峰态神经元概念表达

近年来,深度学习在很多领域获得了广泛的应用.但是,由于深度学习的不可解释性,人类不能信任它的处理结果.本文针对这个问题,尝试使用云模型来表达特征空间中单个神经元的概念.经过逆向云变换算法得到的概念内涵可以表达概念的成熟度.在卷积神经网络(CNN)中,峰态系数过高或者过低的概念数量很多.现有逆向云发生器在转换这些概念时会...     

基于最小延误时间和经济成本的空中高速路匝口排序研究

空中高速路是解决空域资源紧缺问题的一种新途径.在建立延误时间成本最小的空中高速路匝口航班排序模型的基础上,分析并得出了航班延误经济成本函数,建立了基于最小延误时间和经济成本的空中高速路匝口航班排序模型,并利用NSGAII算法进行求解.最后利用不同时段的航班数据进行算例仿真,计算航空器进入空中高速路的时刻及其延误成本.结果表明,与先到先服务策略相比,提出的优化模型对于单个航班的延误时间成本、经济成本和累积经济成本分别降低47.2%,51.3%和54.4%,模型与解法可行.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

正~~     

Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].