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.

不平衡数据集的DC-SMOTE过采样方法

针对不平衡数据集在分类任务中表现不佳的问题,提出基于局部密度与集中度的过采样算法。针对数据集中所有的少数类样本点,分别利用高斯核函数与局部引力来计算局部密度与集中度;对于局部密度较小的部分有针对性地合成第一类新样本,解决类内不平衡问题。根据集中度的不同,区分出少数类样本的边界,有针对性地合成第二类新样本,达到强化边界的作用;同时,通过自适应生成新样本,有效解决大部分过采样算法没有明确过采样量或者盲目追求样本平衡度相等的问题。最后,在公开的12个不平衡数据集上进行了实验,实验结果表明,本算法在低不平衡数据集与高不平衡数据集上的应用均拥有良好的表现。

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。

概率扩充和改进OIM损失的多目标跟踪算法

为解决多目标跟踪中联合目标检测和重识别训练时间过长、多分支特征不对齐和目标相互遮挡的身份转换问题,提出一种高效的多目标跟踪算法。在特征提取阶段利用深层聚合网络联合多层次特征,在重识别阶段通过三元组对在线实例匹配损失进行增强,缓解特征不对齐问题。加入高斯核函数对训练样本进行概率扩充,缩短训练时间。利用运动、外观特征与卡尔曼滤波实现高效的在线关联,利用轨迹池暂存丢失的轨迹,提高目标相互遮挡时的跟踪性能。算法在MOT15和MOT17数据集上的准确度分别达到了60.1%与74.2%,MOT17上的FPS也达到21.6 Hz。

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。

基于神经核网络高斯过程回归的甲板运动预测

甲板运动预测与补偿是舰载机自动着舰的关键技术之一。传统甲板运动预测方法依赖于运动建模的准确性和参数调整,面临复杂海况、不同舰型、航态变化时具有适应性差、预测时长短、结果可靠性低等问题。提出一种基于神经核网络高斯过程回归(NKN-GPR)的甲板运动预测模型,使用神经核网络(NKN)实现高斯过程回归(GPR)模型自动复合核构造,有效改善基于规则库自动核搜索(ACKS)算法依赖人工先验知识的不足。以正弦波组合模型和功率谱模型构造仿真数据,对NKN-GPR模型和基于最小二乘法的自回归(AR)模型进行对比仿真验证,仿真结果表明,NKN-GPR模型在运动预测精度、平滑性、预测时长等方面具有显著优势,证明了所提算法的有效性,可为舰载机自动安全着舰提供理论支撑。

基于高斯过程回归的岩石抗剪强度参数不确定性估测

为克服以往岩石抗剪强度参数估测方法无法反映并量化其不确定性的问题,提出一种基于高斯过程回归(Gaussian processregression,GPR)的岩石抗剪强度参数不确定性估测方法,实现具有概率意义的不确定性分析。基于岩石强度参数数据集,利用高斯过程理论建立不同核函数下岩石单轴抗压强度(uniaxial compressive strength,UCS)和抗拉强度(uniaxial tensilestrength,UTS)与抗剪强度参数的映射关系。通过最大化对数边缘似然函数优化GPR模型超参数,然后根据预测效果与不确定性程度,确定合适的核函数及其GPR模型。结果表明,在给定UCS和UTS数据下,建议采用Matérn核函数构建黏聚力GPR模型,采用有理二次核函数构建内摩擦角GPR模型。对比传统机器学习方法,GPR方法不仅可准确地预测岩石抗剪强度参数,还给出了预测结果的不确定性程度,具有较强的科学性和可解释性,证明了GPR模型的可行性与有效性。

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DL和GKDE的松花江流域土壤侵蚀类型的概率评价研究

[目的]为科学判别流域尺度土壤侵蚀类型并给出相应的发生概率。[方法]构建基于深度学习(deep learning,DL)的松花江流域土壤侵蚀模数(erosion modulu,EM)计算模型,并计算不同类型的侵蚀模数。以降雨、气温、风速3个侵蚀模数影响因子为随机变量,利用数值模拟和高斯核密度估计法(gaussian kernel density estimation,GKDE)构建EM概率评价方法,给出不同土壤侵蚀强度组合的发生概率。[结果]EM计算模型验证期的R^(2)均>0.86。流域内平均每年有74.47%发生微度水蚀与微度风蚀;12.86%的面积发生轻度及以上水蚀与微度风蚀;12.56%的面积发生轻度及以上风蚀与微度水蚀;0.11%的面积水蚀强度与风蚀强度均在轻度及以上。36个典型像元中,发生微度水蚀与微度风蚀的平均概率为57.45%;发生微度水蚀与轻度风蚀的平均概率为30.26%;发生微度水蚀与中度风蚀的平均概率为8.03%;发生轻度水蚀与微度风蚀的平均概率为2.11%;发生微度水蚀与重度风蚀的平均概率为2.08%;发生其余强度组合的平均概率在0.05%以下。[结论]构建的松花江流域EM计算模型精度较高,揭示了松花江流域土壤侵蚀类型空间分布特征,并给出不同土壤侵蚀强度组合的发生概率,为松花江流域土壤侵蚀治理提供依据。

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。

基于相位统计信息特征的相移键控类信号识别

为解决非协作通信中,相移键控类信号由于相位相似,导致在复杂环境下的分类识别困难的问题,本文在高斯噪声下通过对信号相位信息概率密度的推导,并使用高斯核密度估计的方法得到了一种恢复信号相位信息特征的方法。通过仿真实验将该方法从加性高斯噪声推广到加性Alpha稳态分布噪声中。在该方法下,本文提出的特征对BPSK、QPSK、OQPSK、π/4_DQPSK、8 PSK 5类信号在Alpha噪声下可以准确识别。研究表明:使用支持向量机方法可以在信噪比0 dB以上时使信号的总体识别率达到90%以上。

基于高斯核函数的差分隐私技术联合聚类算法在医疗数据安全中的应用

目的针对数据隐私泄露的风险,提出一种基于高斯核函数的差分隐私技术联合聚类算法。通过对医疗数据的处理和保护,旨在提供一种保证医疗数据隐私安全的解决方案。方法通过介绍医疗数据在机器学习过程中隐私暴露的问题以及差分隐私技术原理、差分隐私模糊C均值聚类算法(Differential Privacy Fuzzy C-means Algorithm,DPFCM)和基于高斯核函数的差分隐私模糊C均值聚类算法(Differential Privacy Fuzzy C-means Algorithm Based on Gaussian Kernel Function,DPFCM_GF)的构建过程,采用最大距离法确定初始中心点,使用聚类中心点的高斯值来计算隐私预算分配比率,使用拉普拉斯噪声完成差分隐私保护。通过收集整理心脏病、乳腺癌、甲状腺疾病、糖尿病的公开数据对各算法进行验证。结果DPFCM_GF和DPFCM对不同数据集的聚类效果随隐私预算的增加逐渐改善。DPFCM_GF限值隐私预算分别为1.31、0.85、0.66、1.75,相对DPFCM减少了41.78%、50.29%、53.52%、38.38%,具有较快的收敛迭代速度,增幅差异具有统计学意义(P<0.05)。结论在医疗数据分析中,DPFCM_GF在一定程度上能够保护医疗数据的隐私,同时可提供具有较高准确性的聚类结果,具有潜在的应用前景和市场价值。