Gaussian Kernel Based SVR Model for Short-Term Photovoltaic MPP Power Prediction

Predicting the power obtained at the output of the photovoltaic(PV)system is fundamental for the optimum use of the PV system.However,it varies at different times of the day depending on intermittent and nonlinear environmen-tal conditions including solar irradiation,temperature and the wind speed,Short-term power prediction is vital in PV systems to reconcile generation and demand in terms of the cost and capacity of the reserve.In this study,a Gaussian kernel based Support Vector Regression(SVR)prediction model using multiple input variables is proposed for estimating the maximum power obtained from using per-turb observation method in the different irradiation and the different temperatures for a short-term in the DC-DC boost converter at the PV system.The performance of the kernel-based prediction model depends on the availability of a suitable ker-nel function that matches the learning objective,since an unsuitable kernel func-tion or hyper parameter tuning results in significantly poor performance.In this study for thefirst time in the literature both maximum power is obtained at max-imum power point and short-term maximum power estimation is made.While evaluating the performance of the suggested model,the PV power data simulated at variable irradiations and variable temperatures for one day in the PV system simulated in MATLAB were used.The maximum power obtained from the simu-lated system at maximum irradiance was 852.6 W.The accuracy and the perfor-mance evaluation of suggested forecasting model were identified utilizing the computing error statistics such as root mean square error(RMSE)and mean square error(MSE)values.MSE and RMSE rates which obtained were 4.5566*10-04 and 0.0213 using ANN model.MSE and RMSE rates which obtained were 13.0000*10-04 and 0.0362 using SWD-FFNN model.Using SVR model,1.1548*10-05 MSE and 0.0034 RMSE rates were obtained.In the short-term maximum power prediction,SVR gave higher prediction performance according to ANN and SWD-FFNN.

Theoretical convergence analysis of complex Gaussian kernel LMS algorithm

With the vigorous expansion of nonlinear adaptive filtering with real-valued kernel functions,its counterpart complex kernel adaptive filtering algorithms were also sequentially proposed to solve the complex-valued nonlinear problems arising in almost all real-world applications.This paper firstly presents two schemes of the complex Gaussian kernel-based adaptive filtering algorithms to illustrate their respective characteristics.Then the theoretical convergence behavior of the complex Gaussian kernel least mean square（LMS） algorithm is studied by using the fixed dictionary strategy.The simulation results demonstrate that the theoretical curves predicted by the derived analytical models consistently coincide with the Monte Carlo simulation results in both transient and steady-state stages for two introduced complex Gaussian kernel LMS algonthms using non-circular complex data.The analytical models are able to be regard as a theoretical tool evaluating ability and allow to compare with mean square error（MSE） performance among of complex kernel LMS（KLMS） methods according to the specified kernel bandwidth and the length of dictionary.

Stochastic Economic Dispatch Considering the Dependence of Multiple Wind Farms Using Multivariate Gaussian Kernel Copula

Wind farms usually cluster in areas with abundant wind resources.Therefore,spatial dependence of wind speeds among nearby wind farms should be taken into account when modeling a power system with large-scale wind power penetration.This paper proposes a novel non-parametric copula method,multivariate Gaussian kernel copula(MGKC),to describe the dependence structure of wind speeds among multiple wind farms.Wind speed scenarios considering the dependence among different wind farms are sampled from the MGKC by the quasi-Monte Carlo(QMC)method,so as to solve the stochastic economic dispatch(SED)problem,for which an improved meanvariance(MV)model is established,which targets at minimizing the expectation and risk of fuel cost simultaneously.In this model,confidence interval is applied in the wind speed to obtain more practical dispatch solutions by excluding extreme scenarios,for which the quantile-copula is proposed to construct the confidence interval constraint.Simulation studies are carried out on a modified IEEE 30-bus power system with wind farms integrated in two areas,and the results prove the superiority of the MGKC in formulating the dependence among different wind farms and the superiority of the improved MV model based on quantilecopula in determining a better dispatch solution.

Gaussian kernel operators on white noise functional spaces

The Gaussian kernel operators on white noise functional spaces, including second quantization, Fourier-Mehler transform, scaling, renormalization, etc. are studied by means of symbol calculus, and characterized by the intertwining relations with annihilation and creation operators. The infinitesimal generators of the Gaussian kernel operators are second order white noise operators of which the number operator and the Gross Laplacian are particular examples.

Comparison of Uniform and Kernel Gaussian Weight Matrix in Generalized Spatial Panel Data Model

Panel data combine cross-section data and time series data. If the cross-section is locations, there is a need to check the correlation among locations. ρ and λ are parameters in generalized spatial model to cover effect of correlation between locations. Value of ρ or λ will influence the goodness of fit model, so it is important to make parameter estimation. The effect of another location is covered by making contiguity matrix until it gets spatial weighted matrix (W). There are some types of W—uniform W, binary W, kernel Gaussian W and some W from real case of economics condition or transportation condition from locations. This study is aimed to compare uniform W and kernel Gaussian W in spatial panel data model using RMSE value. The result of analysis showed that uniform weight had RMSE value less than kernel Gaussian model. Uniform W had stabil value for all the combinations.

An Efficient Local Radial Basis Function Method for Image Segmentation Based on the Chan-Vese Model

In this paper,we consider the Chan–Vese(C-V)model for image segmentation and obtain its numerical solution accurately and efficiently.For this purpose,we present a local radial basis function method based on a Gaussian kernel(GA-LRBF)for spatial discretization.Compared to the standard radial basis functionmethod,this approach consumes less CPU time and maintains good stability because it uses only a small subset of points in the whole computational domain.Additionally,since the Gaussian function has the property of dimensional separation,the GA-LRBF method is suitable for dealing with isotropic images.Finally,a numerical scheme that couples GA-LRBF with the fourth-order Runge–Kutta method is applied to the C-V model,and a comparison of some numerical results demonstrates that this scheme achieves much more reliable image segmentation.

利用SE-GPR模型对甲醇/柴油混合燃料柴油机性能的预测

为了对柴油机的经济性和排放参数进行高效、准确的预测,根据4190型船用柴油机实验数据与边界参数,建立AVL-BOOST甲醇/柴油混合燃料柴油机仿真模型;利用模型进行仿真实验,并建立甲醇掺混比、废气再循环(exhaust gas recirculation,EGR)率、喷油提前角和进气压力4个控制参数对有效油耗率和NO x排放预测数据集;利用该数据集对5种不同核函数的高斯过程回归(Gaussian process regression,GPR)模型进行训练;最后将最优的平方指数高斯过程回归(squared exponential-Gaussian process regression,SE-GPR)模型、AVL-BOOST仿真数据和柴油机实验数据进行对比。结果表明:在数据量为180组时,SE-GPR模型对有效油耗率和NO x排放均取得拟合关联度99%以上,均方根误差(root mean square error,RMSE)分别为1.859,0.3445,平均绝对误差(mean absolute error,MAE)分别为0.954,0.2489;并且,相较于AVL-BOOST仿真实验,SE-GPR模型对实验数据具有更好的拟合性。

利用Gaussian核对多元函数的近似逼近及其误差估计

V.Maz’ya首次提出了近似逼近法,其主要是研究定义在全空间上的光滑函数的逼近情况,但它不能有效的处理积分和拟微分算子的高阶求积公式问题及利用更有效的数值和半数值方法解决数学物理的边界等问题.F.M櫣ller和W.Varnhorn给出了一维紧区间上函数的近似逼近方法,而且还可以控制近似逼近的截断误差.根据上述思想,采用近似逼近法,利用Gaussian核对二维紧空间上光滑函数进行逼近,并考察由这种近似逼近法所产生的误差情况.

基于WGKSOM-DRCA自适应即时学习的转炉炼钢终点碳温软测量方法

转炉炼钢终点碳温的准确预测是实现转炉终点控制的关键。针对转炉生产过程数据存在波动性大和非线性特点引起传统即时学习度量的算法学习集质量低,进而削弱模型预测性能的问题,提出了一种基于加权高斯核自组织映射动态相关成分分析(WGKSOM-DRCA)自适应即时学习软测量建模方法用于转炉炼钢终点碳温预测。首先,采用引入标签信息的WGK度量准则构造WGKSOM聚类算法引导聚类方向,提高算法的聚类质量并降低类簇数据波动性对于建模的影响;其次,利用高斯后验概率计算待测样本的隶属度并通过引入动态因子构建DRCA度量策略,从而实现自适应的样本选择,进一步提升待测样本对应的局部算法学习集质量并用于局部模型训练,最终输出终点碳温的预测结果。实验表明,所提算法在转炉炼钢终点碳温预测上相对于其他算法有更好的表现,在±0.02%的预测误差范围,碳含量的预测精度为92%,在±10℃的误差范围,温度的预测精度为93.5%。

Gaussian小波SVM及其混沌时间序列预测

为了提高混沌时间序列的预测精度,针对小波有利于信号细微特征提取的优点,结合小波技术和SVM的核函数方法,提出基于Gaussian小波SVM的混沌时间序列预测模型。证明了偶数阶Gaussian小波函数满足SVM平移不变核条件,并构建相应的Gaussian小波SVM。对混沌时间序列进行相空间重构,将重构相空间中的向量作为SVM的输入参量。用Gaussian小波SVM与常用的径向基SVM及Morlet小波SVM进行对比实验,通过对Chens混沌时间序列和负荷混沌时间序列的预测,结果表明,Gaussian小波SVM的效果比其他两种SVM更好。

Gaussian核SVM在抗噪语音识别中的应用

为提高机器学习的推广能力,解决语音识别系统在噪声环境中识别率变差等问题,采用改进的MFCC语音特征参数,用Gaussian核支持向量机(SVM)作为语音识别网络,对SVM多类分类问题采用"一对一"分类算法,实现了一个汉语孤立词非特定人中等词汇量的抗噪语音识别系统。通过实验,分析了Gaussian核参数和误差惩罚参数C对SVM推广能力的影响。实验结果表明,当工作在不同信噪比情况下,使用最优参数的Gaussion核SVM的识别率比使用RBF神经网络有较大的提高,训练时间能大为缩减,鲁棒性也较好。

A Kernel-Based Nonlinear Representor with Application to Eigenface Classification

This paper presents a classifier named kernel-based nonlinear representor (KNR) for optimal representation of pattern features. Adopting the Gaussian kernel, with the kernel width adaptively estimated by a simple technique, it is applied to eigenface classification. Experimental results on the ORL face database show that it improves performance by around 6 points, in classification rate, over the Euclidean distance classifier.

基于核极限学习机的下肢关节力矩预测方法

针对极限学习机(extreme learning machine,ELM)预测下肢关节力矩时,随机初始化输入权重和偏置影响模型准确度问题,提出一种基于核极限学习机(kernel based extreme learning machine,KELM)的下肢康复机器人关节力矩预测方法。该方法将高斯核函数与ELM相融合,并采用遗传算法(genetic algorithm,GA)与粒子群优化(particle swarm optimization,PSO)结合的基因粒子群GAPSO对KELM的参数进行优化。首先,采集1位在跑步机上以0.4、0.5、0.6、0.7和0.8 m/s等5个不同速度行走的右下肢偏瘫患者运动数据并对数据进行预处理;其次,通过GAPSO对KELM进行优化,获得最优正则化系数C和核函数宽度参数S,将输出关节力矩与反向生物力学分析计算的关节作比较;最后,利用均方根误差(root mean square error,RMSE)和相关系数P来评价算法优越性。实验结果表明,基于GAPSO优化后的KELM(GAPSO-KELM)算法相对于PSO-KELM算法、KELM算法和ELM算法的平均最大均方根误差分别降低14%、18%、28%,且P除了0.8 m/s右侧踝关节内外翻是0.79外,其余P最小是0.84,GAPSO-KELM算法进一步提高预测精度,使其为康复治疗提供更有效的算法支持。

复Gaussian小波核函数及多参数同步优化策略

对复Gauss-ian小波满足M ercy条件及其在H ilbert空间具有再生性的命题作了证明.用复Gauss-ian小波构建出一种核函数,与主成分分析方法相结合,对非线性非平稳信号进行参数辨识和预测.针对多参数模型优化时间过长,不利于工程应用的问题,提出了一种多参数同步优化策略.仿真实验验证了该方法的可行性和有效性,表明该方法具有较好的实用价值.

基于改进SSA-DBN的质子交换膜燃料电池水故障智能分类方法

为了实现质子交换膜燃料电池(PEMFC)系统水故障的高效快速分类,提出了基于改进麻雀搜索算法(SSA)优化深度置信网络(DBN)的PEMFC故障分类方法。采用归一化处理消除故障数据参数之间量纲不同的影响,使用核主成分分析对数据进行故障特征提取,有效地缩减了原始数据维度,降低了运算复杂度,并避免低贡献度数据对故障分类造成干扰。引入柯西-高斯变异策略改进SSA,并利用SSA对DBN进行参数寻优,确定网络结构,通过优化后的DBN实现对PEMFC水故障的快速分类。对3 000组PEMFC水故障数据进行测试,结果表明:所提方法可以快速准确地识别PEMFC的正常状态、膜干故障、水淹故障3种健康状态;总体的分类准确率为98.67%,运算时间为0.89 s,相比支持向量机、概率神经网络方法,所提方法的故障分类精度分别提升了4%、3.34%,运算时间分别减少了15.35、0.35 s。

基于PCA多模型融合的滚动轴承性能退化指标构建

单模型构建的滚动轴承性能健康指标仅能从本身的“单角度”来描述滚动轴承的性能退化状态,具有一定的局限性。为解决这个问题,提出一种基于主成分分析(principal component analysis,PCA)多模型融合的滚动轴承健康指标构建方法。该方法分别采用支持向量数据描述(support vector data description,SVDD)模型、自联想核回归(auto-associative kernel regression,AAKA)模型和高斯混合模型(gaussian mixture module,GMM)构建相应单模型的健康指标,再将3个单模型的健康指标经主成分分析(PCA)融合,并选取第一主成分作为能够包含“多角度”性能退化信息的健康指标(SAG-HI)。试验结果表明,相比于各单模型的健康指标,SAG-HI与滚动轴承保持可靠度的灰置信水平达到98.38%,其相关性、单调性和鲁棒性也均表现为最优,且通过包络谱分析验证了其能够准确且及时监测到早期故障发生时刻。

Gaussian核与具有共同光滑性的Sobolev类的学习误差

逼近误差和回归函数的正规性有关。文章研究了Gaussian核和Sobolev共同光滑回归函数的逼近误差,并得到其对数收敛阶。这个结果推广了周定轩有关Sobolev光滑回归函数的逼近误差研究。

基于KPCA-GaussianNB的电子商务信用风险分类

用核主成分分析(KPCA)和高斯朴素贝叶斯(GaussianNB)构建电子商务信用风险分类模型(KPCAGaussianNB)。首先,通过KPCA方法将电子商务信用风险涉及的指标进行主要特征提取;其次,应用GaussianNB方法构造电子商务信用风险分类模型;最后,使用18家电子商务企业的真实数据进行实证检验,并依据检验结果提出应对风险的措施。验证结果表明:通过对比GaussianNB、PCA-GaussianNB和KPCA-GaussianNB的平均准确率,KPCA-GaussianNB的平均准确率最高。

Soft sensor modeling based on Gaussian processes

In order to meet the demand of online optimal running, a novel soft sensor modeling approach based on Gaussian processes was proposed. The approach is moderately simple to implement and use without loss of performance. It is trained by optimizing the hyperparameters using the scaled conjugate gradient algorithm with the squared exponential covariance function employed. Experimental simulations show that the soft sensor modeling approach has the advantage via a real-world example in a refinery. Meanwhile, the method opens new possibilities for application of kernel methods to potential fields.

联合自然梯度和AdamW算法的RSF图像分割模型

关键零件内部复杂结构的精密测量是高端制造领域攻克的难题。当采用工业CT技术实现对象内部结构精密测量时,面临目标图像灰度不均匀性、边缘模糊、伪影等问题。有鉴于此,本文研究了局部能量最小化模型(RSF)的图像分割方法,引入自然梯度和AdamW算法分别提高了RSF模型的收敛速度和参数自适应性。首先,在统计流形上计算自然梯度,提高梯度下降效率和RSF模型收敛速度;其次,采用AdamW算法实现RSF模型的高斯核函数尺度大小自适应控制。与经典RSF模型相比,改进后的RSF模型迭代次数减少了1353次,迭代次数降低约76.79%,迭代时间减少约43.61%,测针球面半径和航空燃油喷嘴圆柱直径测量误差均较小,既保持了原模型亚像素分割精度,又大幅提高了模型收敛速度和鲁棒性。