粒子群优化BP神经网络预测温度:MATLAB源码解析

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"优化预测粒子群算法优化BP神经网络预测温度的MATLAB源代码" 粒子群算法(Particle Swarm Optimization,PSO)是一种优化技术,源于对自然界中如鸟群和鱼群群体行为的观察。该算法由James Kennedy和Russell Eberhart在1995年提出,灵感来自生物学家对鸟类飞行模式的研究。在PSO中,每个解决方案被比喻为一个“粒子”,在解空间中移动,寻找最优解。粒子依据其当前位置、个人最佳位置(Pbest)和全局最佳位置(Gbest)调整其速度和方向。这种算法的优势在于其简单性和易于实现,使得它在解决复杂优化问题时具有广泛应用。 BP(Backpropagation)神经网络是一种常用的监督学习算法,用于非线性建模和预测。然而,BP网络存在收敛速度慢、容易陷入局部极小值等问题。通过结合粒子群算法,可以优化BP神经网络的权重和阈值更新,提高其学习效率和预测精度。 在预测温度的场景中,BP神经网络可以学习历史温度数据的模式,然后对未来温度进行预测。但单纯使用BP网络可能会导致预测效果不佳,因为网络可能在训练过程中遇到过拟合或欠拟合的问题。粒子群算法可以用来调整BP网络的参数,以找到最优的网络结构和权重配置,从而改善预测性能。 在MATLAB中实现粒子群优化的BP神经网络,首先需要定义粒子群的参数,如粒子数量、速度范围、学习因子等。然后,定义网络结构,包括输入层、隐藏层和输出层的神经元数量。接着,初始化粒子的位置和速度,进入迭代过程。在每次迭代中,每个粒子会根据PSO的规则更新其位置(网络参数),并评估当前位置的适应度(预测误差)。个人最佳位置和全局最佳位置也会根据适应度不断更新。迭代直到满足停止条件(如达到最大迭代次数或误差阈值)。 这个MATLAB源码结合了粒子群算法和BP神经网络,旨在提高温度预测的准确性和稳定性。通过优化网络参数,能够更好地拟合历史数据,从而提升对未来温度变化的预测能力。这种优化方法对于气象预测、能源管理以及其他依赖气候条件的领域具有重要的实际应用价值。
2013-05-28 上传
粒子群优化算法是一种新颖的仿生、群智能优化算法。该算法原理简单、需调整的参数少、收敛速度快而且易于实现,因此近年来粒子群算法引起了广大学者的关注。然而到目前为止粒子群算法的在理论分析和实践应用方面尚未成熟,仍有大量的问题需进一步研究。本文针对粒子群算法易出现“早熟”陷入局部极小值问题对标准粒子群算法进行改进并将改进的粒子群算法应用于BP神经网络中。本文的主要工作如下:本文首先介绍了粒子群算法的国内外的研究现状与发展概况,较系统地分析了粒子群优化算法的基本理论,总结常见的改进的粒子群优化算法。其次介绍了Hooke-Jeeves模式搜索法的算法分析、基本流程及应用领域。针对标准粒子群优化算法存在“早熟”问题,易陷入局部极小值的缺点,本文对标准粒子群算法进行改进。首先将原始定义的初始种群划分为两个相同的子种群,采用基于适应度支配的思想分别将每个子种群划分为两个子集,Pareto子集和N_Pareto子集;然后将两个子群中的适应度较优的两个Pareto子集合为新种群。Griewank和Rastrigin由于新种群的参数设置区别于标准粒子群算法的参数设置,新的粒子与标准种群中的粒子飞行轨迹不同,种群的探索范围扩大,从而使算法的全局搜索能力有所提高。 为平衡粒子群算法的全局寻优能力和局部寻优能力,提高粒子群算法的求解精度和效率,本文在新种群寻优过程中引入具有强收敛能力Hooke-Jeeves搜索法,提出了IMPSO算法。雅文网www.lunwendingzhi.com,并用IMPSO算法对标准基准测试函数进行实验,将得到的实验结果并与标准粒子群算法对基准函数的实验结果进行对比,仿真结果证明了该改进的粒子群算法的有效性。 最后本文研究改进的粒子群算法在BP神经网络中的应用。首先介绍人工神经网络的原理及基于BP算法的多层前馈神经网络,其次用IMPSO算法训练BP神经网络并给出训练流程图。 将IMPSO算法训练的BP神经网络分别应用于齿轮热处理中硬化层深的预测以及用于柴油机的缸盖与缸壁的故障诊断中,并将预测结果、诊断结果与BP神经网络、标准粒子群优化算法训练的BP神经网络的实验结果进行对比,实验结果证明了改进的粒子群算法训练BP网络具有更强的优化性能和学习能力。 英文简介: Particle swarm optimization algorithm is a novel bionic, swarm intelligence optimization algorithm. The algorithm principle is simple, less need to adjust the parameters and convergence speed is fast and easy to implement, so in recent years, particle swarm optimization (pso) to cause the attention of many scholars. So far, however, the particle swarm algorithm are not mature in theory analysis and practice applications, there are still a lot of problems need further research. Based on particle swarm algorithm is prone to "premature" into a local minimum value problem to improve the standard particle swarm algorithm and improved particle swarm optimization (pso) algorithm was applied to BP neural network. This paper's main work is as follows: at first, this paper introduces the particle swarm algorithm in the general situation of the research status and development at home and abroad, systematically analyzes the basic theory of particle swarm optimization algorithm, summarizes the common improved particle swarm optimization algorithm. Secondly introduces the analysis method of Hooke - Jeeves pattern search algorithm, the basic process and application fields. In view of the standard particle swarm optimization algorithm "precocious" problems, easy to fall into local minimum value, in this paper, the standard particle swarm algorithm was improved. First of all, the original definition of the initial population is divided into two identical sub populations, based on the fitness of thought respectively each child population is divided into two subsets, and Pareto subset N_Pareto subset; And then has a better fitness of two subgroups of two Pareto set for the new population. Griewank and Rastrigin because of the new population parameter setting differs from the standard particle swarm algorithm of the parameter is set, the new particles and particle trajectories in the different standard population, population expanding, which makes the algorithm's global search ability have improved. To balance the global search capability of the particle swarm algorithm and local optimization ability, and improve the precision and efficiency of particle swarm optimization (pso) algorithm, introduced in this article in the new population optimization process has a strong convergence ability to search method of Hooke - Jeeves, IMPSO algorithm is proposed. And standard benchmark test functions with IMPSO algorithm experiment, will receive the results with the standard particle swarm algorithm, comparing the experimental results of benchmark functions, the simulation results prove the validity of the improved particle swarm algorithm. At the end of the paper research the improved particle swarm algorithm in the application of the BP neural network. First this paper introduces the principle of artificial neural network and based on the multi-layer feed-forward neural network BP algorithm, secondly by IMPSO algorithm training the BP neural network and training flow chart is given. IMPSO algorithm training the BP neural network respectively used in the gear heat treatment hardening layer depth prediction and used for fault diagnosis of diesel engine cylinder head and cylinder wall, and the predicted results, the diagnostic results, the standard particle swarm optimization algorithm with BP neural network of training BP neural network, comparing the experimental results of the experimental results show that the improved particle swarm optimization (pso) training BP network has better optimization performance and learning ability.
2018-05-24 上传
This add-in to the PSO Research toolbox (Evers 2009) aims to allow an artificial neural network (ANN or simply NN) to be trained using the Particle Swarm Optimization (PSO) technique (Kennedy, Eberhart et al. 2001). This add-in acts like a bridge or interface between MATLAB’s NN toolbox and the PSO Research Toolbox. In this way, MATLAB’s NN functions can call the NN add-in, which in turn calls the PSO Research toolbox for NN training. This approach to training a NN by PSO treats each PSO particle as one possible solution of weight and bias combinations for the NN (Settles and Rylander ; Rui Mendes 2002; Venayagamoorthy 2003). The PSO particles therefore move about in the search space aiming to minimise the output of the NN performance function. The author acknowledges that there already exists code for PSO training of a NN (Birge 2005), however that code was found to work only with MATLAB version 2005 and older. This NN-addin works with newer versions of MATLAB till versions 2010a. HELPFUL LINKS: 1. This NN add-in only works when used with the PSORT found at, http://www.mathworks.com/matlabcentral/fileexchange/28291-particle-swarm-optimization-research-toolbox. 2. The author acknowledges the modification of code used in an old PSO toolbox for NN training found at http://www.mathworks.com.au/matlabcentral/fileexchange/7506. 3. User support and contact information for the author of this NN add-in can be found at http://www.tricia-rambharose.com/ ACKNOWLEDGEMENTS The author acknowledges the support of advisors and fellow researchers who supported in various ways to better her understanding of PSO and NN which lead to the creation of this add-in for PSO training of NNs. The acknowledged are as follows: * Dr. Alexander Nikov - Senior lecturer and Head of Usaility Lab, UWI, St. Augustine, Trinidad, W.I. http://www2.sta.uwi.edu/~anikov/ * Dr. Sabine Graf - Assistant Professor, Athabasca University, Alberta, Canada. http://scis.athabascau.ca/scis/staff/faculty.jsp?id=sabineg * Dr. Kinshuk - Professor, Athabasca University, Alberta, Canada. http://scis.athabascau.ca/scis/staff/faculty.jsp?id=kinshuk * Members of the iCore group at Athabasca University, Edmonton, Alberta, Canada.