A forecasting system for car fuel consumption using a radial basis function neural network

A predictive system for car fuel consumption using a radial basis function (RBF) neural network is proposed in this paper. The proposed work consists of three parts: information acquisition, fuel consumption forecasting algorithm and performance evaluation. Although there are many factors affecting the fuel consumption of a car in a practical drive procedure, in the present system the relevant factors for fuel consumption are simply decided as make of car, engine style, weight of car, vehicle type and transmission system type which are used as input information for the neural network training and fuel consumption forecasting procedure. In fuel consumption forecasting, to verify the effect of the proposed RBF neural network predictive system, an artificial neural network with a back-propagation (BP) neural network is compared with an RBF neural network for car fuel consumption prediction. The prediction results demonstrated the proposed system using the neural network is effective and the performance is satisfactory in terms of fuel consumption prediction.     

ACOA-RBF网络模型在短期负荷预测中的应用

为了进一步提高RBF神经网络的性能,实现准确、快速预测短期电力负荷的目的,将蚁群优化算法（ACOA）作为RBF神经网络的学习算法,建立了一种新的蚁群优化算法的RBF（ACOA-RBF）网络预测模型,利用山西某地区电网的历史数据进行短期负荷预测。仿真表明,这一算法与传统的RBF神经网络预测方法相比,能达到更好的预测效果。该优化算法改善了径向基神经网络的泛化能力,提高了山西电网短期负荷预测的精度,可有效用于电力系统的短期负荷预测。     

A Divide-and-Conquer Learning Approach to Radial Basis Function Networks

This paper presents a new divide-and-conquer based learning approach to radial basis function (RBF) networks, in which a conventional RBF network is divided into several RBF sub-networks. Each of them individually takes an input sub-space as its input. The original networks output then becomes a linear combination of the sub-networks outputs with the coefficients adaptively learned together with the system parameters of each sub-network. Since this approach reduces the structural complexity of a RBF network by describing a high-dimensional modelling problem via several low-dimensional ones, the networks learning speed is considerably improved as a whole with the comparable generalization capability. The empirical studies have shown its outstanding performance on forecasting two real time series as well as synthetic data. Besides, we have found that the performance of this approach generally varies with the different decompositions of the networks input and the hidden layer. We therefore further explore the decomposition rule with the results verified by the experiments.     

基于在线减法聚类的RBF神经网络结构设计

以设计最小径向基函数（RBF）神经网络结构为着眼点,提出一种在线RBF网络结构设计算法.该算法将在线减法聚类能实时跟踪工况的特性与RBF网络参数学习过程相结合,使得网络既能在线适应实时对象的变化又能维持紧凑的结构,有效地解决了RBF神经网络结构自组织问题.该算法只调整欧氏距离距实时工况最近的核函数,大大提高了网络的学习速度.通过对典型非线性函数逼近和混沌时间序列预测的仿真,表明所提出的算法具有良好的动态特性响应能力和逼近能力.     

基于模糊RBF神经网络的非线性滤波

该文从基本的智能技术——神经网络(NN)和模糊系统(FS)技术出发,探讨了神经网络与模糊系统相结合的基本理论,提出了一种基于模糊RBF神经网络的非线性滤波的方法。该方法将模糊逻辑的知识表达以及推理能力和RBF网络的快速学习和泛化能力结合起来,网络结构参数可按实际问题调整,对信号中有色噪声进行较高精度的逼近,来达到非线性滤波的目的。该滤波方法显示出很强的处理问题的能力,学习速度快,仿真结果表明了这种方法的有效性和可性行。     

基于ART 的RBF 网络结构设计

针对径向基函数(RBF)网络隐层结构难以确定的问题,基于自适应共振理论(ART)网络良好的在线分类特性,提出一种RBF网络结构设计算法。该算法将ART网络的聚类特性用于RBF网络结构设计中,通过对输入向量与已存模式的相似度比较将输入向量进行分类,确定隐含层节点个数和初始参数,使网络具有精简的结构。对典型非线性函数逼近的仿真结果表明,所提出的结构具有快速的学习能力和良好的逼近能力。     

Improvement of RBF neural networks using Fuzzy-OSD algorithm in an online radar pulse classification system

In this paper a new methodology for training radial basis function (RBF) neural networks is introduced and examined. This novel approach, called Fuzzy-OSD, could be used in applications, which need real-time capabilities for retraining neural networks. The proposed method uses fuzzy clustering in order to improve the functionality of the Optimum Steepest Descent (OSD) learning algorithm. This improvement is due to initialization of RBF units more precisely using fuzzy C-Means clustering algorithm that results in producing better and the same network response in different retraining attempts. In addition, adjusting RBF units in the network with great accuracy will result in better performance in fewer train iterations, which is essential when fast retraining of the network is needed, especially in the real-time systems. We employed this new method in an online radar pulse classification system, which needs quick retraining of the network once new unseen emitters detected. Having compared result of applying the new algorithm and Three-Phase OSD method to benchmark problems from Proben1 database and also using them in our system, we achieved improvement in the results as presented in this paper.     

径向基神经网络重建自由曲面的探讨

提出了采用神经网络重建自由曲面的方法,建立了用于曲面重建的径向基函数神经网络模型,提出并论证了神经网络用于密集散乱点曲面重建的方案,与常规的重构方法对比,分析了其优点和关键技术,着重讨论了径向基函数神经网络模型,仿真实验表明：采用二层的径向基函数网络,对单个曲面片的拟合精度和网络训练速度大大优于ＢＰ网,完全满足实用要求,具有一定的理论与实用意义。     

基于RBF神经网络的机械臂自适应控制方法

针对机械臂受内部摩擦和时变扰动等不确定性因素的影响,其轨迹跟踪控制系统的跟踪精度会下降,且影响系统的稳定性,提出一种基于径向基函数神经网络的自适应控制方法。首先,利用RBF神经网络采用离线训练和在线学习的方式对机械臂的动力学模型进行辨识;其次针对机械臂控制系统中的摩擦,设计RBF神经网络自适应控制算法对其进行逼近得到补偿控制量。针对时变扰动和神经网络逼近误差设计鲁棒项,以克服众多不确定性因素带来的影响,同时通过构造李亚普诺夫函数对所设计的控制系统进行稳定性分析;最后,仿真实验结果证明提出的控制方法具有较高的跟踪精度、抗干扰能力和较强的鲁棒性。     

一种基于高斯核的RBF神经网络学习算法

RBF神经网络中心等参数确定得是否合理将直接影响到RBF神经网络的学习性能。通过有监督学习的方法来确定RBF神经网络的中心等参数是最一般化的方法。在这种方法中,参数的初始化问题是关键问题。文章在分析RBF神经网络映射性能的基础上,提出了中心等参数初始化的一种方法,并借助于梯度下降法给出了RBF神经网络的学习算法。多种实例表明,所给出的学习算法是有效的。该研究为RBF神经网络的广泛应用提供了一定的技术保障。     

超平面中心的RBF神经网络及其新方法

在传统的径向基神经网络框架的基础上,通过引入中心超平面的概念,提出了超平面中心的径向基函数神经网络。在此网络中以点到中心超平面的距离代替传统的径向基神经网络中点到点的距离,其优势在于中心超平面作为数据中心包含了更多原始数据之间的信息。以函数逼近和数据分类的实验为例,证明了超平面中心的径向基神经网络相对于传统的网络有一定的优势。     

Application of radial basis function neural network for differential relaying of a power transformer

Function approximation has been found in many applications. The radial basis function network is one of the approaches which has shown a great promise in this sort of problems because of its faster learning capacity. The application of RBF neural network for differential relaying of power transformer is presented in this paper. Performance of this model is compared with feed-forward neural network (FFNN). The proposed method of power transformer protection is evaluated using simulation performed with EMTP package. The proposed model requires less training time and is more accurate in prediction as compared to FFNN.     

Optimal partition algorithm of the RBF neural network and its application to financial time series forecasting

A novel neural-network-based method of time series forecasting is presented in this paper. The method combines the optimal partition algorithm (OPA) with the radial basis function (RBF) neural network. OPA for ordered samples is used to perform the clustering for the samples. The centers and widths of the RBF neural network are determined based on the clustering. The difference of the objective functions of the clustering is used to adjust the structure of the neural network dynamically. Thus, the number of the hidden nodes is selected adaptively. The method is applied to stock price prediction. The results of numerical simulations demonstrate the effectiveness of the method. Comparisons with the hard c-means (HCM) algorithm show that the proposed OPA method possesses obvious advantages in the precision of forecasting, generalization, and forecasting trends. Simulations also show that the OPA–orthogonal least squares (OPA–OLS) algorithm, which combines OPA with the OLS algorithm, results in better performance for forecasting trends.     

一种基于模糊径向基函数神经网络的自学习控制器

提出了一种新型的基于模糊径向基函数 (RBF)的神经网络学习控制器 ,并应用于电液伺服系统 .由于RBF网络和模糊推理系统具有函数等价性 ,采用模糊经验值方法选取网络中心值和基函数数目 .与一般的神经网络自学习控制器不同 ,以系统动态误差作为网络输入量 ,RBF神经网络控制器学习的是整个系统的动态逆过程 ,因而控制性能明显提高 .对电液位置伺服系统的仿真和实验结果表明 ,该控制方案可以有效提高系统的控制精度和自适应能力     

FKCN优化的RBF神经网络

ＦＫＣＮ（Ｆｕｚｚｙ Ｋｏｈｏｎｅｎ ｃｌｕｓｔｅｒ ｎｅｔｗ ｏｒｋ）将模糊隶属度的概念用于Ｋｏｈｏｎｅｎ 神经网络的学习和更新策略中,改善了Ｋｏｈｏｎｅｎ 网络的性能,是一种更为快速有效的聚类网络。作者将ＦＫＣＮ用于优化ＲＢＦ（Ｒａｄｉａｌｂａｓｉｃ ｆｕｎｃｔｉｏｎ）神经网络基函数的中心,并将优化后的ＲＢＦ网络用于曲线拟合和非线性时间序列预测,同时与基于Ｃ－ＭＥＡＮＳ的ＲＢＦ网络进行比较。实验结果表明：采用ＦＫＣＮ优化的ＲＢＦ网络具有更好的拟合和预测能力,尤其在曲线拟合实验中,ＦＫＣＮ优化的ＲＢＦ网络可以达到最小学习误差,比Ｃ－ＭＥＡＮＳ的网络小一个数量级,可见用ＦＫＣＮ优化ＲＢＦ神经网络可以较好地提高ＲＢＦ神经网络的性能。     

径向函数网络对国民经济生产总值预测研究

为了建立国民经济生产总值（GDP）神经网络预测模型,构造了双层网络结构的基于径向基网络,通过学习训练,确定径向基数神经网络参数和结构。仿真结果表明,生成的径向基函数模型应用于国民经济预测比BP神经网络模型具有更高的预测精度和良好的泛化能力。     

基于径向基函数神经网络的非线性模型辨识

从径向基函数（RBF）神经网络原理分析出发，提出了一种基于RBF神经网络学习算法，用于对非线性对象模型的拟合与辩识，并将此方法用于实际非线性模型的学习与辩识。结果表明，基于RBF的神经网络可快速完成对样本的学习与拟合，对具有连续特性的线性与非线性模型，具有快速实时的学习速度和优良的学习性能。     

新型广义径向基函数神经网络结构研究

提出了一种新型的广义径向基函数(RBF)神经网络,并研究了该网络的学习方法.不同于传统三层结构的RBF网络,广义RBF网络增加了基函数输出加权层,并在输出层采用超曲面去逼近任意的非线性曲面.实例仿真结果表明,与传统的RBF网络相比,该网络具有良好的逼近性能,收敛速度快,可逼近任意多变量非线性函数.     

现代医院门诊量的灰色RBF神经网络预测

门诊量预测是现代医院电梯交通以及医疗资源优化配置的重要前提。为了有效地预测医院的门诊量,提出一种将灰色预测方法与RBF神经网络有机结合的灰色神经网络组合预测方法。该方法利用灰色预测中的累加生成运算（AGO）对原始观测数据进行变换,得到规律性较强的累加数据,作为神经网络的建模和训练样本。所提出的方法既避免了灰色预测方法存在的理论误差,又提高了神经网络的训练速度和预测精度,对短期的医院门诊量预测具有较强的实用价值。结果表明：所提出的方法具有良好的预测精度。     

属性重要性评分方法的改进

研究信息系统的属性重要性评分方法,通过引入敏感系数构建神经网络模型,提出属性重要性评分算法,将信息系统的各条件属性和决策属性构造一个径向基函数(RBF)神经网络。经训练和学习后,综合考虑各属性间的关系,动态调整RBF网络的拓扑结构,评分各属性的重要性。以红籽西瓜性状数据作为样本数据和测试数据进行实例分析,验证该方法的有效性。