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流形核与LPP相结合的毛杆折痕识别方法 被引量:4
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作者 岳洪伟 汪仁煌 +1 位作者 金迎迎 明俊峰 《光电工程》 CAS CSCD 北大核心 2014年第2期47-52,共6页
针对毛杆折痕难以检测问题,将非线性流形的思想引入到折痕识别领域。提出运用流形核函数与局部保持投影相结合的方法进行毛杆特征提取。首先基于区域图像构造协方差矩阵作为图像特征,利用仿射不变度量作为样本点的距离测度。然后通过定... 针对毛杆折痕难以检测问题,将非线性流形的思想引入到折痕识别领域。提出运用流形核函数与局部保持投影相结合的方法进行毛杆特征提取。首先基于区域图像构造协方差矩阵作为图像特征,利用仿射不变度量作为样本点的距离测度。然后通过定义的黎曼核函数选择流形上的近邻点,使得近邻点的选择符合数据呈非线性流形的假设,并结合数据类别信息构造相应的核矩阵。最后利用局部保持投影算法对毛杆图像进行降维。实验结果表明,本文算法能够有效克服光照不均和残余绒毛等外部因素影响,具有较好的稳健性和较高的识别率。 展开更多
关键词 羽毛杆折痕 黎曼流形 流形核 局部保持投影
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基于流形距离核的自适应迁移谱聚类算法 被引量:3
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作者 齐晓轩 都丽 洪振麒 《计算机应用与软件》 北大核心 2020年第8期265-273,共9页
谱聚类算法中,当样本的簇边缘分布不均匀或不同簇边缘分布密度相近时,会导致错分现象。通过对相似度矩阵的改进,提出基于流形距离核的自适应迁移谱聚类算法。使用流形距离作为构造相似度矩阵的度量方法,共享近邻方法对相似度矩阵进行自... 谱聚类算法中,当样本的簇边缘分布不均匀或不同簇边缘分布密度相近时,会导致错分现象。通过对相似度矩阵的改进,提出基于流形距离核的自适应迁移谱聚类算法。使用流形距离作为构造相似度矩阵的度量方法,共享近邻方法对相似度矩阵进行自适应调整,且使用加权距离自适应调节核参数,提高谱聚类对复杂数据集的处理能力。针对样本匮乏或受到污染时聚类效果不佳问题,引入迁移学习,利用源域知识指导目标域进行聚类。经实验验证,该算法性能优于传统谱聚类算法。 展开更多
关键词 相似度矩阵 流形距离 谱聚类 迁移学习 全局一致性 局部结构 自适应
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一种基于流形距离核的谱聚类和量子聚类融合算法
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作者 马宇红 李兴义 +1 位作者 薛生倩 王小小 《西北师范大学学报(自然科学版)》 CAS 北大核心 2023年第2期37-46,共10页
谱聚类是一种基于图谱划分理论的聚类算法,本质上是将聚类问题转化为图的最优划分问题;量子聚类可以充分挖掘数据样本的内在信息,是一种基于划分的无监督聚类算法.为了充分发挥谱聚类算法和量子聚类算法的优势,本文提出了一种基于流形... 谱聚类是一种基于图谱划分理论的聚类算法,本质上是将聚类问题转化为图的最优划分问题;量子聚类可以充分挖掘数据样本的内在信息,是一种基于划分的无监督聚类算法.为了充分发挥谱聚类算法和量子聚类算法的优势,本文提出了一种基于流形距离核的谱聚类和量子聚类融合算法(MFD-NJW-QC).首先,计算数据集的流形距离核矩阵,构造相应的拉普拉斯矩阵;其次,根据拉普拉斯矩阵的若干最大特征值对应的特征向量构造新数据集,并使用量子聚类算法对新构造的数据集进行聚类,从而得到原始数据的类标签;最后,基于7个人工数据集和5个UCI数据集验证MFD-NJW-QC算法的聚类性能.结果显示,MFD-NJW-QC算法能够明显提高聚类性能,尤其对于具有流形结构,且类簇大小不平衡、密度分布不均匀的数据集优势更为突出. 展开更多
关键词 流形距离 谱聚类 量子聚类 拉普拉斯矩阵 特征向量
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一种基于流形距离核的谱聚类算法 被引量:27
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作者 陶新民 宋少宇 +1 位作者 曹盼东 付丹丹 《信息与控制》 CSCD 北大核心 2012年第3期307-313,共7页
针对标准谱聚类算法中,基于欧氏距离的相似性度量不能完全反映数据聚类复杂的空间分布特性的问题,提出了一种基于流形距离核的谱聚类算法.它能充分挖掘数据集中的内在结构信息,较好地反映局部和全局一致性,并且可以很好地防止"桥&q... 针对标准谱聚类算法中,基于欧氏距离的相似性度量不能完全反映数据聚类复杂的空间分布特性的问题,提出了一种基于流形距离核的谱聚类算法.它能充分挖掘数据集中的内在结构信息,较好地反映局部和全局一致性,并且可以很好地防止"桥"噪声点的影响,提高算法的聚类性能.与传统的聚类算法和常见谱聚类算法进行了比较,在人工数据集和UCI数据集上的实验都验证了本算法能够获得更好的聚类效果. 展开更多
关键词 谱图理论 谱聚类 流形距离 自适应
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基于混合测度的并行仿射传播聚类算法 被引量:4
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作者 张建朋 陈福才 +1 位作者 李邵梅 于洪涛 《计算机科学》 CSCD 北大核心 2013年第7期167-172,195,共7页
针对仿射传播聚类(AP)算法应用于流形结构复杂、密度不均匀的数据集存在的不足,通过学习数据集的低维流形结构,提出了密度自适应的"流形距离核"(ad-MDK)的概念。该距离测度既考虑了数据点的局部密度信息,又包含了数据集全局... 针对仿射传播聚类(AP)算法应用于流形结构复杂、密度不均匀的数据集存在的不足,通过学习数据集的低维流形结构,提出了密度自适应的"流形距离核"(ad-MDK)的概念。该距离测度既考虑了数据点的局部密度信息,又包含了数据集全局结构信息,从而提高了算法对这类数据集的处理能力。同时,针对引入流形距离所带来的计算复杂问题,提出了算法的并行化设计方法,有效提高了算法处理效率。通过在多个数据集上的实验验证了所提算法在处理大规模多尺度数据集上的性能优于传统AP算法。 展开更多
关键词 仿射传播聚类 流形距离 共享最近邻 并行计算
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Improving in plasticity of orthorhombic Ti_2AlNb-based alloys sheet by high density electropulsing 被引量:6
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作者 宋辉 王忠金 赫晓东 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第1期32-37,共6页
In order to optimize the ductility of orthorhombic Ti2AlNb-based alloys sheet,Ti22Al27Nb sheet was treated by high density electropulsing(J max =6.80 7.09 kA/mm2,tp =110 μs) under ambient condition.Microstructures ... In order to optimize the ductility of orthorhombic Ti2AlNb-based alloys sheet,Ti22Al27Nb sheet was treated by high density electropulsing(J max =6.80 7.09 kA/mm2,tp =110 μs) under ambient condition.Microstructures were observed by SEM,and the tensile properties were also studied using uniaxial tension tests.The experimental results show that electropulsing can refine the microstructures of Ti22Al27Nb sheets.The specimen with the fine and homogeneous microstructures has good plasticity,and its elongation reaches 19.4%.The mechanism about the effect of electropulsing treatment on the microstructure of Ti22Al27Nb sheets was discussed.It was thought that the increase in nucleation rate during phase transformation and a very short treating time were regarded as the main reasons of producing smaller grains and increase in the plasticity by electropulsing. 展开更多
关键词 Ti2AlNb-based alloys electropulsing treatment PLASTICITY grain refinement microstructure nucleation rate phase transformation
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C_(p,q)^(s+α)-forms Solution of _b-equ ation and Its L_(p,q)~s Estimates
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作者 MA Zhong-tai (Department of Mathematics, China Coal Economic College, Yantai 264005, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期234-241,共8页
In this paper, by using holomorphic support f unction of strictly pseudoconvex domain on Stein manifolds and the kernel define d by DEMAILY J P and Laurent Thiebaut, we construct two integral operators T q and S q whi... In this paper, by using holomorphic support f unction of strictly pseudoconvex domain on Stein manifolds and the kernel define d by DEMAILY J P and Laurent Thiebaut, we construct two integral operators T q and S q which are both belong to C s+α p,q-1 (D) and ob tain integral representation of the solution of (p,q)-form b-equation on the boundary of pseudoconvex domain in Stein manifolds and the L s p,q extimates for the solution. 展开更多
关键词 inhomogeneous tangential Cauchy-Riemann equations i ntegral representation of b-solving the kernel of Demaily mand Laurent Thiebaut Chern connection Stein manifold L s p q estim ates
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The HeatKernel ofthe Sym m etric Space P_n
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作者 卢克平 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第4期64-69, ,共6页
In this paper the heat kernel of the symmetric space P n is obtained.
关键词 heat kernel symmetric space METRIC invariant differential operator
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Nucleation and early stages of growth of lead onto copper electrodes from dilute electrolytes 被引量:2
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作者 Nebojsa D.NIKOLIC SanjaI.STEVANOVIC Goran BRANKOVIC 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第12期3274-3282,共9页
The processes of nucleation and growth of lead from the dilute electrolytes on copper substrates were investigated bychronoamperometry and by scanning electron microscopic (SEM) analysis of the deposits obtained in th... The processes of nucleation and growth of lead from the dilute electrolytes on copper substrates were investigated bychronoamperometry and by scanning electron microscopic (SEM) analysis of the deposits obtained in the potentiostatic regime ofelectrolysis. In the dependence of electrodeposition conditions, the nucleation of Pb followed either progressive or instantaneoustype. The type of nucleation changed from progressive to instantaneous one with increasing the concentration of Pb(II) ions and theoverpotential of electrodeposition. Regardless of the type nucleation, a novel type of Pb particles like cobweb was formed by thepotentiostatic electrodeposition in the moment of nucleation and at the early stages of growth. On the basis of the shape ofcobweb-like particles and the electrodeposition conditions leading to their formation, these particles were situated in the group ofspongy-like ones. Also, comparative morphological analysis of Pb deposits obtained in the conditions of progressive andinstantaneous nucleation confirmed the existence of two limiting types of nucleation. 展开更多
关键词 ELECTRODEPOSITION LEAD NUCLEATION GROWTH morphology CHRONOAMPEROMETRY
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Integral Representation of the Manifold Solution for New Class of the Volterra Type Integral Equation with a Boundary Singularity in the Case, When Kernel Contain Logarithmic Singularity and its Power
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作者 Nusrat Rajabov 《Journal of Mathematics and System Science》 2016年第1期23-37,共15页
In this work we suggestion new methods investigation the model Volterra type integral equation with logarithmic singularity, kernel which consisting from composition polynomial function with logarithmic singularity an... In this work we suggestion new methods investigation the model Volterra type integral equation with logarithmic singularity, kernel which consisting from composition polynomial function with logarithmic singularity and function with singular point. The problem investigation this type integral equation at n = 2m reduce to problem investigate the Volterra type integral equation (1) for n = 2 the theory for which was constructed in [2]. In this work, we investigation integral equation (1) at = 2m + 1 In this case, we investigate integral equation (1) reduction it's to m integral equation type [2] φ(x)+∫xa[p1+p2 ln(x-a/t-a)]φ(t)/t-a dt=f(x)and one the following integral equation [1] ω(x)+p3∫xω(t)/ a t-adt=g(x). 展开更多
关键词 singular kernel volterra type integral equation boundary singularity logarithmic singularity.
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Holomorphic Lefschetz Fixed Point Formula for Non-compact Khler Manifolds
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作者 Boyong CHEN Yang LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2008年第6期679-686,共8页
The authors obtain a holomorphic Lefschetz fixed point formula for certain non-compact “hyperbolic” Kǎihler manifolds (e.g. Kǎihler hyperbolic manifolds, bounded domains of holomorphy) by using the Bergman kerne... The authors obtain a holomorphic Lefschetz fixed point formula for certain non-compact “hyperbolic” Kǎihler manifolds (e.g. Kǎihler hyperbolic manifolds, bounded domains of holomorphy) by using the Bergman kernel. This result generalizes the early work of Donnelly and Fefferman. 展开更多
关键词 Lefschetz fixed point formula Bergman kernel
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