I神经网络在数据拟合方面的应用摘要本文将讲述人工神经网络及其数据拟合中的应用。人工神经网络是从信息处理角度对人脑神经元网络进行抽象，建立某种简单模型，按不同的连接方式组成不同的网络。它在模式识别、智能机器人、自动控制、预测估计、生物、医学、经济等领域得到广泛的应用。本文主要研究神经网络在数据拟合中的应用，通过对背景、基础知识及其神经网络的相关理论，推出神经网络的发展历程及其模型，最后得出神经网络在数据拟合中的算法的设计与实现。本文通过实例介绍了用神经网络来进行数据拟合处理的方法。关键词：人工神经网络;拟合;径向基结构;MATLABIIAbstractThispaperwilldescribetheapplicationofartificialneuralnetworkanditsdatafitting.Artificialneuralnetworkisakindofsimplemodel,whichisbasedontheinformationprocessingpointofviewofthehumanbrainneuralnetworktoestablishasimplemodel.Thedifferentconnectionwaysformdifferentnetworks.Itiswidelyusedinpatternrecognition,intelligentrobot,automaticcontrol,predictionandestimation,biology,medicine,economyandsoon.Thispaperstudiedtheneuralnetworkinthedatafittingapplication.Bythebackground,basicknowledgeandneuralnetworktheory,weintroducedthedevelopmentprocessofneuralnetworkanditsmodels,andfinallywegotthedesignandimplementationofalgorithmofneuralnetworkindatafitting.Thispaperintroducedthemethodofusingneuralnetworktofitthedatathroughanexample.KeyWords:Curvefitting;Surfacefitting;Least-squaresmethod;EngineeringapplicationsIII目录摘要................................................................错误！未定义书签。Abstract...........................................................错误！未定义书签。第1章绪论.........................................................11.1课题国内外研究动态，课题研究背景及意义.......................11.1.1国内外的研究现状........................................11.1.2课题研究的意义..........................................21.2研究主要成果...............................................21.3发展趋势....................................................31.4研究的基本内容..............................................41.5论文的主要工作及结构安排....................................4第2章神经网络概述2.1神经网络基础知识..............................................52.1.1人工神经元模型........................................52.1.2神经网络结构..........................................52.1.3神经网络结构工作方式..................................62.1.4神经网络的训练与泛化..................................72.2径向基网络结构与应用.......................................72.3例题详解...................................................72.3.1例1....................................................72.3.2例2...................................................11第3章数据拟合的基本理论.........................................123.1最小二乘曲线拟合............................................123.1.1多项式拟合............................................143.1.2正交多项式作最小二乘拟合的原理........................143.1.3非线性最小二乘拟合....................................163.2多元最小二乘拟合............................................183.3最小二乘法的另一种数学表达..................................193.4本章小结....................................................21第4章数据拟合应用实例...........................................224.1数据拟合在物理实验中的应用..................................224.1.1多项式拟合............................................22IV4.1.2指数拟合.............
