具有无穷时滞的细胞神经网络的全局稳定性分析

对具有无穷时滞的细胞神经网络平衡点的存在性、唯一性和全局渐近稳定性进行了分析．在放弃了激活函数的有界性、单调性和可微性假设的情况下,得到了系统的平衡点的存在性条件．利用向量Liapunov函数法的思想,构造适当的含有变时滞和无穷时滞的微分-积分不等式,通过对微分-积分不等式的稳定性分析,得到了神经网络系统的全局渐近稳定的充分条件．     

模糊ART神经网络在运动目标识别中的应用

本文在讨论模糊ＡＲＴ神经网络及其算法的基础上，研究和提出了一种三维运动目标识别方法，利用模糊ＡＲＴ神经网络对运动目标的目标侧面图形进行学习和模式识别。模拟实验表明了该方法的有效性。     

工业企业经济效益的模糊评价

本文利用模糊数学的理论对工业企业经济效益进行综合评价,从而提供了一条对企业经济效益进行定量分析有效的新途径。     

基于PSO_Trainlm BP模型的图像去噪研究

针对在使用BP模型进行图像去噪时,模型存在的对初始权阈值敏感、易陷入局部极小值和收敛速度慢的问题.为了提高模型去噪效率,提出采用改进粒子群神经网络模型进行图像去噪.首先运用改进粒子群算法对BP神经网络权阈值进行初始寻优,再用trainlm BP算法对优化的网络权阈值进一步精确优化,随后建立基于粒子群算法的BP神经网络去噪模型,并将其应用到图像去噪研究中.仿真结果表明,新模型结合了粒子群算法的全局寻优能力和BP算法的局部搜索能力,减小了模型对初始权阈值的敏感性,有效防止了模型陷入局部极小值的可能,提高了图像去噪模型的速度和质量.     

神经网络在轴承故障诊断中的应用

本文以轴承的故障诊断为例用神经网络理论在此方面进行了探索。即通过轴承的频谱信号对一个反向繁殖神经网络的识别功能进行确认，包括一个三层的神经网络模型和用于故障识别的六个特征频谱带设置，所训练的网络可对工业轴承常见的故障进行诊断。实验结果表明神经网络在机械故障振动分析方面无疑是一条走出困境的可行路径。     

基于神经网络的课堂教学质量综合评估

研究了神经网络对课堂教学质量进行综合评估的原理、方法和过程,并成功地应用于实际中,结果表明该方法简洁,准确,并能克服各种人为因素.     

基于GAAA-RBF神经网络的工程估价方法

利用遗传-蚁群混合算法(GAAA),对RBF神经网络的主要结构参数中心矢量、基宽向量和网络权重进行组合优化,建立了GAAA-RBF神经网络组合算法的工程估价模型.将55个工程造价案例,随机抽取10个作为预测样本,剩下的45个作为训练样本.通过与相同结构的RBF神经网络相比较,结果表明算法克服了RBF神经网络易陷于局部极值、搜索质量差和精度不高的缺点,改善了RBF神经网络的泛化能力,收敛速度快,输出稳定性好,提高了工程造价的预测精度.     

财务危机预警中财务比率的选择研究

本文采用定性与定量相结合的方法对财务危机预警中财务比率的选择进行了研究 .首先根据初选原则对财务比率进行了初步选择 ,然后提出了一种基于神经网络的变量选择方法 ,对初选的财务比率进行定量筛选并进行了实证研究 ,结果表明 ,这是一种科学、通用的变量选择方法     

日本模糊控制理论与应用研究的进展

本文通过大量日文期刊及其他文献的阅读，对日本模糊控制的发展过程的各阶段进行了综述与评价。     

基于改进的BP神经网络中国CPI运行预测研究

加强和改善宏观调控,保持价格平稳运行,促进经济持续健康发展是经济工作的重中之重.鉴于BP神经网络模型具有很好地模拟非线性系统的优点,对BP神经网络模型进行了新的改进,在对权值和阈值进行修改时加入了动量项α,并根据以往两次金融危机前后中国CPI运行具有较高相关性的特点,以1997年和2008年两次金融危机集中爆发前后数年数据为基础,运用该模型对中国CPI指数运行进行了拟合,并以2011年为例对中国CPI指数进行了预测,结果与实际运行数据基本一致,预测效果很好.此方法可为改进价格预测,加强价格调控提供重要借鉴意义.     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.