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Improved Kernel Possibilistic Fuzzy Clustering Algorithm Based on Invasive Weed Optimization 被引量:1
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作者 赵小强 周金虎 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第2期164-170,共7页
Fuzzy c-means(FCM) clustering algorithm is sensitive to noise points and outlier data, and the possibilistic fuzzy c-means(PFCM) clustering algorithm overcomes the problem well, but PFCM clustering algorithm has some ... Fuzzy c-means(FCM) clustering algorithm is sensitive to noise points and outlier data, and the possibilistic fuzzy c-means(PFCM) clustering algorithm overcomes the problem well, but PFCM clustering algorithm has some problems: it is still sensitive to initial clustering centers and the clustering results are not good when the tested datasets with noise are very unequal. An improved kernel possibilistic fuzzy c-means algorithm based on invasive weed optimization(IWO-KPFCM) is proposed in this paper. This algorithm first uses invasive weed optimization(IWO) algorithm to seek the optimal solution as the initial clustering centers, and introduces kernel method to make the input data from the sample space map into the high-dimensional feature space. Then, the sample variance is introduced in the objection function to measure the compact degree of data. Finally, the improved algorithm is used to cluster data. The simulation results of the University of California-Irvine(UCI) data sets and artificial data sets show that the proposed algorithm has stronger ability to resist noise, higher cluster accuracy and faster convergence speed than the PFCM algorithm. 展开更多
关键词 data mining clustering algorithm possibilistic fuzzy c-means(PFCM) kernel possibilistic fuzzy c-means algorithm based on invasiv
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Adaptive Kernel Firefly Algorithm Based Feature Selection and Q-Learner Machine Learning Models in Cloud
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作者 I.Mettildha Mary K.Karuppasamy 《Computer Systems Science & Engineering》 SCIE EI 2023年第9期2667-2685,共19页
CC’s(Cloud Computing)networks are distributed and dynamic as signals appear/disappear or lose significance.MLTs(Machine learning Techniques)train datasets which sometime are inadequate in terms of sample for inferrin... CC’s(Cloud Computing)networks are distributed and dynamic as signals appear/disappear or lose significance.MLTs(Machine learning Techniques)train datasets which sometime are inadequate in terms of sample for inferring information.A dynamic strategy,DevMLOps(Development Machine Learning Operations)used in automatic selections and tunings of MLTs result in significant performance differences.But,the scheme has many disadvantages including continuity in training,more samples and training time in feature selections and increased classification execution times.RFEs(Recursive Feature Eliminations)are computationally very expensive in its operations as it traverses through each feature without considering correlations between them.This problem can be overcome by the use of Wrappers as they select better features by accounting for test and train datasets.The aim of this paper is to use DevQLMLOps for automated tuning and selections based on orchestrations and messaging between containers.The proposed AKFA(Adaptive Kernel Firefly Algorithm)is for selecting features for CNM(Cloud Network Monitoring)operations.AKFA methodology is demonstrated using CNSD(Cloud Network Security Dataset)with satisfactory results in the performance metrics like precision,recall,F-measure and accuracy used. 展开更多
关键词 Cloud analytics machine learning ensemble learning distributed learning clustering classification auto selection auto tuning decision feedback cloud DevOps feature selection wrapper feature selection Adaptive kernel Firefly algorithm(AKFA) Q learning
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Rebound of Region of Interest (RROI), a New Kernel-Based Algorithm for Video Object Tracking Applications
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作者 Andres Alarcon Ramirez Mohamed Chouikha 《Journal of Signal and Information Processing》 2014年第4期97-103,共7页
This paper presents a new kernel-based algorithm for video object tracking called rebound of region of interest (RROI). The novel algorithm uses a rectangle-shaped section as region of interest (ROI) to represent and ... This paper presents a new kernel-based algorithm for video object tracking called rebound of region of interest (RROI). The novel algorithm uses a rectangle-shaped section as region of interest (ROI) to represent and track specific objects in videos. The proposed algorithm is constituted by two stages. The first stage seeks to determine the direction of the object’s motion by analyzing the changing regions around the object being tracked between two consecutive frames. Once the direction of the object’s motion has been predicted, it is initialized an iterative process that seeks to minimize a function of dissimilarity in order to find the location of the object being tracked in the next frame. The main advantage of the proposed algorithm is that, unlike existing kernel-based methods, it is immune to highly cluttered conditions. The results obtained by the proposed algorithm show that the tracking process was successfully carried out for a set of color videos with different challenging conditions such as occlusion, illumination changes, cluttered conditions, and object scale changes. 展开更多
关键词 VIDEO OBJECT Tracking Cluttered Conditions kernel-Based algorithm
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Interior-Point Algorithm for Linear Optimization Based on a New Kernel Function 被引量:2
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作者 CHEN Donghai ZHANG Mingwang LI Weihua 《Wuhan University Journal of Natural Sciences》 CAS 2012年第1期12-18,共7页
In this paper, we design a primal-dual interior-point algorithm for linear optimization. Search directions and proximity function are proposed based on a new kernel function which includes neither growth term nor barr... In this paper, we design a primal-dual interior-point algorithm for linear optimization. Search directions and proximity function are proposed based on a new kernel function which includes neither growth term nor barrier term. Iteration bounds both for large-and small-update methods are derived, namely, O(nlog(n/c)) and O(√nlog(n/ε)). This new kernel function has simple algebraic expression and the proximity function has not been used before. Analogous to the classical logarithmic kernel function, our complexity analysis is easier than the other pri- mal-dual interior-point methods based on logarithmic barrier functions and recent kernel functions. 展开更多
关键词 linear optimization interior-point algorithms pri- mal-dual methods kernel function polynomial complexity
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Semi-supervised kernel FCM algorithm for remote sensing image classification
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作者 刘小芳 HeBinbin LiXiaowen 《High Technology Letters》 EI CAS 2011年第4期427-432,共6页
These problems of nonlinearity, fuzziness and few labeled data were rarely considered in traditional remote sensing image classification. A semi-supervised kernel fuzzy C-means (SSKFCM) algorithm is proposed to over... These problems of nonlinearity, fuzziness and few labeled data were rarely considered in traditional remote sensing image classification. A semi-supervised kernel fuzzy C-means (SSKFCM) algorithm is proposed to overcome these disadvantages of remote sensing image classification in this paper. The SSKFCM algorithm is achieved by introducing a kernel method and semi-supervised learning technique into the standard fuzzy C-means (FCM) algorithm. A set of Beijing-1 micro-satellite's multispectral images are adopted to be classified by several algorithms, such as FCM, kernel FCM (KFCM), semi-supervised FCM (SSFCM) and SSKFCM. The classification results are estimated by corresponding indexes. The results indicate that the SSKFCM algorithm significantly improves the classification accuracy of remote sensing images compared with the others. 展开更多
关键词 remote sensing image classification semi-supervised kernel fuzzy C-means (SSKFCM)algorithm Beijing-1 micro-satellite semi-supcrvisod learning tochnique kernel method
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Kernel Factor Analysis Algorithm with Varimax
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作者 夏国恩 金炜东 张葛祥 《Journal of Southwest Jiaotong University(English Edition)》 2006年第4期394-399,共6页
Kernal factor analysis (KFA) with vafimax was proposed by using Mercer kernel function which can map the data in the original space to a high-dimensional feature space, and was compared with the kernel principle com... Kernal factor analysis (KFA) with vafimax was proposed by using Mercer kernel function which can map the data in the original space to a high-dimensional feature space, and was compared with the kernel principle component analysis (KPCA). The results show that the best error rate in handwritten digit recognition by kernel factor analysis with vadmax (4.2%) was superior to KPCA (4.4%). The KFA with varimax could more accurately image handwritten digit recognition. 展开更多
关键词 kernel factor analysis kernel principal component analysis Support vector machine Varimax algorithm Handwritten digit recognition
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实验室安全ISBOA-KELM多传感器数据融合预警模型
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作者 葛亮 周女青 +3 位作者 车洪磊 肖国清 赖希 曾文 《中国安全科学学报》 北大核心 2026年第1期63-71,共9页
为解决传统实验室环境信息复杂、单传感器检测不准确且精度有限等问题,提出一种面向实验室安全的改进型鹭鹰优化算法(ISBOA)-核极限学习机(KELM)多传感器数据融合预警算法模型。首先,分析KELM的数据融合机制,并通过引入正则化项来有效... 为解决传统实验室环境信息复杂、单传感器检测不准确且精度有限等问题,提出一种面向实验室安全的改进型鹭鹰优化算法(ISBOA)-核极限学习机(KELM)多传感器数据融合预警算法模型。首先,分析KELM的数据融合机制,并通过引入正则化项来有效缓解模型过拟合问题;然后,利用改进ISBOA对KELM中的正则化参数C和核参数σ进行自适应优化,构建ISBOA-KELM多传感器数据融合模型,从而避免人工选取KELM参数所导致的故障诊断准确率低的问题;最后,以模拟数据和试验数据为基础,分别与未改进的鹭鹰优化算法(SBOA)、粒子群算法(PSO)以及灰狼优化算法(GWO)进行性能对比分析。试验结果表明:ISBOA-KELM算法模型相较于其他3种模型准确率分别提高4%、3%、2%,且在实际测试实验室环境下火灾等4种情况的准确率均高于96%,漏报率低于6%,显著提升安全事故预警的可靠性与鲁棒性。 展开更多
关键词 实验室安全 改进型鹭鹰优化算法(ISBOA) 核极限学习机(KELM) 多传感器数据融合 智能预警
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Kernel-Kmeans:一种基于核密度估计的空间聚类算法 被引量:10
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作者 张登荣 杜要 +1 位作者 寻丹丹 刘婷 《杭州师范大学学报(自然科学版)》 CAS 2017年第3期324-329,共6页
利用核密度估计的非参数检验特性,提出了一种基于核密度估计的Kmeans改进算法KernelKmeans.该算法综合了基于划分的聚类思想以及基于密度的聚类思想,首先由核密度估计算法计算样本点的密度分布,然后对密度分布栅格进行窗口计算并取极大... 利用核密度估计的非参数检验特性,提出了一种基于核密度估计的Kmeans改进算法KernelKmeans.该算法综合了基于划分的聚类思想以及基于密度的聚类思想,首先由核密度估计算法计算样本点的密度分布,然后对密度分布栅格进行窗口计算并取极大值来初步确定聚类中心以及聚类数量,最后将聚类中心和聚类数量作为参数输入Kmeans算法得到聚类结果.以OpenStreetMap发布的京津冀城市群点数据开展实验研究,采用算法运算时间与轮廓系数为验证指标,与Kmeans算法、极大极小改进Kmeans算法进行了对比验证,结果表明Kernel-Kmeans算法的精度高于后两者. 展开更多
关键词 核密度估计 Kmeans算法 轮廓系数
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基于Kernel K-means的负荷曲线聚类 被引量:34
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作者 赵文清 龚亚强 《电力自动化设备》 EI CSCD 北大核心 2016年第6期203-207,共5页
电力负荷曲线聚类是配用电系统的基础,对负荷管理具有重大意义。采用基于核方法的聚类算法提高负荷曲线聚类的准确性,通过点积的方式构造核矩阵,再将数据映射到高维空间中进行聚类,进而加大数据的可分性。同时,针对核矩阵的规模大、计... 电力负荷曲线聚类是配用电系统的基础,对负荷管理具有重大意义。采用基于核方法的聚类算法提高负荷曲线聚类的准确性,通过点积的方式构造核矩阵,再将数据映射到高维空间中进行聚类,进而加大数据的可分性。同时,针对核矩阵的规模大、计算复杂的问题,提出使用核主成分与缩减矩阵规模对该方法进行优化。实验过程中采用美国能源部开发能源信息网站提供的负荷数据进行聚类,并以Davies-Bouldin聚类有效性指标评估效果。结果表明该方法具有较好的划分能力,可以提高负荷曲线聚类的准确性。 展开更多
关键词 负荷曲线 聚类算法 核矩阵 核主成分分析 削减矩阵
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基于OLHS-IAOO-KELM的尾矿坝渗透系数反演模型及应用
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作者 管子懿 沈振中 《水电能源科学》 北大核心 2026年第1期138-142,197,共6页
尾矿坝是由尾砂长期堆积而成的,分层复杂、渗透系数不均一,为获取能反映其整体渗透特性的代表性渗透系数,提出一种新的反演方法。采用最优拉丁超立方抽样(OLHS)获取均布的尾矿坝渗透系数组合样本,将其代入有限元模型进行正分析得到测点... 尾矿坝是由尾砂长期堆积而成的,分层复杂、渗透系数不均一,为获取能反映其整体渗透特性的代表性渗透系数,提出一种新的反演方法。采用最优拉丁超立方抽样(OLHS)获取均布的尾矿坝渗透系数组合样本,将其代入有限元模型进行正分析得到测点水头值样本,两者结合构成数据集,通过核极限学习机(KELM)建立从渗透系数到测点水头的非线性映射关系,利用融合拉丁超立方抽样初始化种群、重心反向学习和自适应趋优边界改进的不实野燕麦优化(IAOO)算法对KELM的超参数进行优化,建立了基于OLHS-IAOO-KELM的尾矿坝渗透系数反演模型,并将其应用于工程实例中。通过该模型反演得到的尾矿坝渗透系数值合理,7个测点经渗流正分析得到的计算水头和实测水头的相对误差不超过2.08%,满足工程精度要求,且尾矿坝典型断面的渗流场位势分布符合一般规律。与其他模型相比较,该模型的反演结果误差最小。该模型的准确性和鲁棒性高,在尾矿坝渗透系数反演中具有实用价值。 展开更多
关键词 尾矿坝 渗透系数 反演分析 改进不实野燕麦优化算法 核极限学习机
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基于新代数等价变换求解Fisher市场均衡问题的全牛顿步内点算法
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作者 迟晓妮 张璐 +1 位作者 刘三阳 张所滨 《工程数学学报》 北大核心 2026年第1期1-14,共14页
权互补问题是互补问题的一类重要推广,当权向量为零向量时,该问题就化为互补问题。非零权向量的存在使得权互补问题的理论和算法更为复杂。权互补问题的应用广泛,科学、经济等领域中的一大类均衡问题都可以转化为权互补问题进行求解,比... 权互补问题是互补问题的一类重要推广,当权向量为零向量时,该问题就化为互补问题。非零权向量的存在使得权互补问题的理论和算法更为复杂。权互补问题的应用广泛,科学、经济等领域中的一大类均衡问题都可以转化为权互补问题进行求解,比如Fisher市场均衡问题可化为一种斜对称的权互补问题。提出了一种求解Fisher市场均衡问题的线性权互补模型的新全牛顿步内点算法。基于中心方程的新代数等价变换形式,运用核函数φ(t)=t2计算搜索方向。该核函数首次被用于求解线性权互补问题。算法每次迭代仅使用一个全牛顿步,无需进行线搜索,节省运行内存。证明算法的收敛性及多项式复杂度,最后通过数值算例验证了算法的有效性。 展开更多
关键词 线性权互补问题 Fisher市场均衡 全牛顿步 内点算法 核函数 代数等价变换
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基于改进支持向量机的有源配电网单相断线故障检测方法
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作者 吴宇轩 欧阳森 +3 位作者 杨向宇 陈汉栋 黎人玮 廖键 《发电技术》 2026年第1期185-194,共10页
【目的】断线故障的及时、准确检测对保障配电网的正常安全运行至关重要,而目前的单相断线故障检测的传统判据在有源配电网中的应用存在一定的局限性,因此,提出了一种基于改进支持向量机对多种电气特征量进行融合的单相断线故障检测方... 【目的】断线故障的及时、准确检测对保障配电网的正常安全运行至关重要,而目前的单相断线故障检测的传统判据在有源配电网中的应用存在一定的局限性,因此,提出了一种基于改进支持向量机对多种电气特征量进行融合的单相断线故障检测方法。【方法】首先,建立了兼具启动判据、传统判据、有源判据的电气特征量指标体系。其次,通过开关量化法对启动判据进行处理。然后,通过核主成分分析方法从启动判据以外的特征指标体系中筛除低贡献率的特征指标。最后,将降维后的数据输入支持向量机,通过麻雀搜索算法完成支持向量机参数优化,得到断线故障检测模型。【结果】在改进IEEE15节点模型上进行的仿真算例表明,所提方法可将有效实现特征量的降维,较单一判据提升了8.87%的检测准确率。【结论】该方法解决了单相断线故障检测的传统判据容易失效的问题,能有效完成不同场景下的故障检测。 展开更多
关键词 有源配电网 单相断线 支持向量机 麻雀搜索算法 核主成分分析
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SPI阈值智能优化算法
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作者 韩玉信 陈金锤 +2 位作者 罗海波 任磊 孙磊 《电子工艺技术》 2026年第1期54-58,共5页
随着电子产品微型化、高密度集成化的发展趋势,印制电路板(PCB)设计复杂度持续提升,对SMT锡膏印刷的工艺要求也日趋严苛。当前产线普遍依赖焊膏检测设备(Solder Paste Inspection,SPI)来拦截和管控印刷缺陷,然而,SPI阈值参数的确定主要... 随着电子产品微型化、高密度集成化的发展趋势,印制电路板(PCB)设计复杂度持续提升,对SMT锡膏印刷的工艺要求也日趋严苛。当前产线普遍依赖焊膏检测设备(Solder Paste Inspection,SPI)来拦截和管控印刷缺陷,然而,SPI阈值参数的确定主要依赖于工程经验,缺乏基于数据的科学分析,导致相对于最终加工结果的“漏检”或“误报”。鉴于此,提出一种基于工业大数据分析的SPI阈值智能设定方法,旨在优化锡膏印刷质量管控体系。 展开更多
关键词 印刷质量控制 SPI阈值 高斯核密度估计 遗传算法
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基于KPCA-ISSA-KELM的铁路隧道煤与瓦斯突出预测模型
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作者 李时宜 代鑫 +2 位作者 刘骞 左明辉 高旭 《铁道标准设计》 北大核心 2026年第1期143-151,共9页
为了能够更为准确地预测铁路隧道煤与瓦斯突出,有效保障铁路隧道施工安全性。首先根据煤与瓦斯突出影响因素,选取瓦斯压力、地质构造、瓦斯放散初速度、煤体结构类型、煤体坚固系数和埋深作为耦合指标,由SPSS 27软件通过皮尔逊相关系数... 为了能够更为准确地预测铁路隧道煤与瓦斯突出,有效保障铁路隧道施工安全性。首先根据煤与瓦斯突出影响因素,选取瓦斯压力、地质构造、瓦斯放散初速度、煤体结构类型、煤体坚固系数和埋深作为耦合指标,由SPSS 27软件通过皮尔逊相关系数矩阵分析各指标间的相关性,而后利于核主成分分析法(KPCA)对原始数据进行主成分提取。其次引入Sine混沌映射、动态自适应权重、Levy飞行策略以及融合柯西变异的反向学习对麻雀搜索算法(SSA)进行改进,以提升其全局搜索能力,而后利用改进的麻雀搜索算法(ISSA)优化KELM中核参数γ和正则化系数C,构建一种基于KPCA-ISSA-KELM的铁路隧道煤与瓦斯突出预测模型。引入PSO-BPNN、PSO-SVM、SSA-SVM模型,对比测试原始数据和降维后的数据,表明使用KPCA进行数据处理能够提升模型预测准确率,同时由其预测结果可知,在使用KPCA降维后的数据时,ISSA-KELM模型相较于其他模型在测试样本中的Ac分别提高0.22、0.22、0.11,P分别提高0.2、0.23、0.1,R分别提高0.24、0.25、0.14,F1-Score分别提高0.22、0.24、0.12。最后,将ISSA-KELM模型应用于西南部某铁路隧道,验证该模型的可靠性和稳定性,表明其更适合于铁路隧道煤与瓦斯突出预测,可为相似瓦斯隧道设计与施工提供借鉴。 展开更多
关键词 瓦斯隧道 煤与瓦斯突出 核主成分分析(KPCA) 麻雀搜索算法(SSA) 核极限学习机(KELM) 预测模型
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FSS-kernel与FastICA融合的盲源分离算法研究 被引量:1
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作者 汪道德 何鹏举 龙莉莉 《计算机工程与应用》 CSCD 北大核心 2015年第2期209-212,270,共5页
Fast ICA算法有着比传统ICA算法更快、更稳健的收敛速度,但由于其选用的非线性函数不能很好地符合源信号的统计特性,恢复结果并不理想。针对该问题,提出了一种有限支持样本核函数(FSS-kernel)与Fast ICA融合的盲源分离算法。该方法是通... Fast ICA算法有着比传统ICA算法更快、更稳健的收敛速度,但由于其选用的非线性函数不能很好地符合源信号的统计特性,恢复结果并不理想。针对该问题,提出了一种有限支持样本核函数(FSS-kernel)与Fast ICA融合的盲源分离算法。该方法是通过FSS-kernel算法估计得出源信号概率密度函数,结合Fast ICA算法,实现混合信号的盲分离。仿真结果表明,该方法能够有效地完成混叠信号的分离,通过与传统ICA算法及Fast ICA算法比较,证明了该方法具有更高的分离精度和自适应能力。 展开更多
关键词 快速独立分量分析(Fast ICA)算法 有限支持样本核函数(FSS-kernel)算法 盲源分离 算法融合
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基于SFOA-VMD-CMBE和SFOA-KELM的电机滚动轴承故障诊断
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作者 秦锦程 胡业林 《科学技术与工程》 北大核心 2026年第1期163-171,共9页
针对电机滚动轴承故障特征提取和故障诊断,提出了一种海星算法(starfish optimization algorithm, SFOA)优化变分模态分解(variational mode decomposition, VMD)结合复合多尺度气泡熵(composite multiscale bubble entropy, CMBE)为基... 针对电机滚动轴承故障特征提取和故障诊断,提出了一种海星算法(starfish optimization algorithm, SFOA)优化变分模态分解(variational mode decomposition, VMD)结合复合多尺度气泡熵(composite multiscale bubble entropy, CMBE)为基础的特征提取技术,同时也引入了海星优化算法优化核极限学习机(kernel extreme learning machine, KELM)的故障诊断模型。首先,利用SFOA算法对VMD参数优化,再将振动信号有效分解为多个本征模态分量(intrinsic mode functions, IMFs)。通过计算各IMF与原信号之间的皮尔逊相关系数,筛选出相关系数最大的两个分量;其次,将两个分量重构并计算其复合多尺度气泡熵构成特征向量矩阵;最后,将特征向量矩阵输入SFOA-KELM故障诊断模型进行诊断。实验结果表明,此方法对于故障诊断准确率高达100%,且相比于其他模型在提取故障特征方面表现优异,显著提高了故障诊断的准确率,具有重要应用价值。 展开更多
关键词 变分模态分解 海星优化算法 复合多尺度气泡熵 核极限学习机 轴承故障诊断
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基于kernel K-means算法的城市交通客流量分析 被引量:4
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作者 闫明月 《物流技术》 北大核心 2013年第9期158-160,213,共4页
基于核函数这种基于统计学习理论的方法,介绍了kernel K-means算法的基本原理与步骤,与传统的K-means算法进行了对比分析,无论是运算速度还是算法有效性,kernel K-means算法都优于传统的K-means算法,并应用于实际的城市交通客流量数据... 基于核函数这种基于统计学习理论的方法,介绍了kernel K-means算法的基本原理与步骤,与传统的K-means算法进行了对比分析,无论是运算速度还是算法有效性,kernel K-means算法都优于传统的K-means算法,并应用于实际的城市交通客流量数据分析实验,结果验证了方法的有效性,为城市交通规律分析、城市规划与交通政策的制定提供了依据。 展开更多
关键词 传统K-means算法 kernel K-MEANS算法 核函数 城市交通 客流量
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Substation clustering based on improved KFCM algorithm with adaptive optimal clustering number selection 被引量:1
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作者 Yanhui Xu Yihao Gao +4 位作者 Yundan Cheng Yuhang Sun Xuesong Li Xianxian Pan Hao Yu 《Global Energy Interconnection》 EI CSCD 2023年第4期505-516,共12页
The premise and basis of load modeling are substation load composition inquiries and cluster analyses.However,the traditional kernel fuzzy C-means(KFCM)algorithm is limited by artificial clustering number selection an... The premise and basis of load modeling are substation load composition inquiries and cluster analyses.However,the traditional kernel fuzzy C-means(KFCM)algorithm is limited by artificial clustering number selection and its convergence to local optimal solutions.To overcome these limitations,an improved KFCM algorithm with adaptive optimal clustering number selection is proposed in this paper.This algorithm optimizes the KFCM algorithm by combining the powerful global search ability of genetic algorithm and the robust local search ability of simulated annealing algorithm.The improved KFCM algorithm adaptively determines the ideal number of clusters using the clustering evaluation index ratio.Compared with the traditional KFCM algorithm,the enhanced KFCM algorithm has robust clustering and comprehensive abilities,enabling the efficient convergence to the global optimal solution. 展开更多
关键词 Load substation clustering Simulated annealing genetic algorithm kernel fuzzy C-means algorithm Clustering evaluation
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Numerical Algorithms for Solving One Type of Singular Integro-Differential Equation Containing Derivatives of the Time Delay States 被引量:1
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作者 Shihchung Chiang Terry L. Herdman 《Applied Mathematics》 2015年第8期1294-1301,共8页
This study presents numerical algorithms for solving a class of equations that partly consists of derivatives of the unknown state at previous certain times, as well as an integro-differential term containing a weakly... This study presents numerical algorithms for solving a class of equations that partly consists of derivatives of the unknown state at previous certain times, as well as an integro-differential term containing a weakly singular kernel. These equations are types of integro-differential equation of the second kind and were originally obtained from an aeroelasticity problem. One of the main contributions of this study is to propose numerical algorithms that do not involve transforming the original equation into the corresponding Volterra equation, but still enable the numerical solution of the original equation to be determined. The feasibility of the proposed numerical algorithm is demonstrated by applying examples in measuring the maximum errors with exact solutions at every computed nodes and calculating the corresponding numerical rates of convergence thereafter. 展开更多
关键词 Integro-Differential Equation of the Second KIND WEAKLY SINGULAR kernel Numerical algorithms Rates of Convergence
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Prediction of Time Series Empowered with a Novel SREKRLS Algorithm 被引量:3
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作者 Bilal Shoaib Yasir Javed +6 位作者 Muhammad Adnan Khan Fahad Ahmad Rizwan Majeed Muhammad Saqib Nawaz Muhammad Adeel Ashraf Abid Iqbal Muhammad Idrees 《Computers, Materials & Continua》 SCIE EI 2021年第5期1413-1427,共15页
For the unforced dynamical non-linear state–space model,a new Q1 and efficient square root extended kernel recursive least square estimation algorithm is developed in this article.The proposed algorithm lends itself ... For the unforced dynamical non-linear state–space model,a new Q1 and efficient square root extended kernel recursive least square estimation algorithm is developed in this article.The proposed algorithm lends itself towards the parallel implementation as in the FPGA systems.With the help of an ortho-normal triangularization method,which relies on numerically stable givens rotation,matrix inversion causes a computational burden,is reduced.Matrix computation possesses many excellent numerical properties such as singularity,symmetry,skew symmetry,and triangularity is achieved by using this algorithm.The proposed method is validated for the prediction of stationary and non-stationary Mackey–Glass Time Series,along with that a component in the x-direction of the Lorenz Times Series is also predicted to illustrate its usefulness.By the learning curves regarding mean square error(MSE)are witnessed for demonstration with prediction performance of the proposed algorithm from where it’s concluded that the proposed algorithm performs better than EKRLS.This new SREKRLS based design positively offers an innovative era towards non-linear systolic arrays,which is efficient in developing very-large-scale integration(VLSI)applications with non-linear input data.Multiple experiments are carried out to validate the reliability,effectiveness,and applicability of the proposed algorithm and with different noise levels compared to the Extended kernel recursive least-squares(EKRLS)algorithm. 展开更多
关键词 kernel methods square root adaptive filtering givens rotation mackey glass time series prediction recursive least squares kernel recursive least squares extended kernel recursive least squares square root extended kernel recursive least squares algorithm
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