张量分解(一):基础知识 )Khatri-Rao product:其实就是Kronecker product列元素上的匹配: 8)Hadamard product:按元素相乘,因此两个tensor的维度必须相同: 以上,便是张量分解领域部分比较常见的知识点,下一篇文章,我将讲解一个常见的张量分解算法:CP decomposition. 参考:tensor decompositions and application 浅谈张量分...
·R ao product of the specif i c matri·· ces ,such as positive matrix ,semi— positive matrix ,nonnegative matrix ,H ermite matrix are presented.The opera— tion of conjugate transpose on t h e generalized Khatri— Rao product is deduced out.Moreover,some impor t ant ine- qualities ...
generalizedKhatri2Raoproductoftheinversematricesandsquarematricesareproved.Atlast,propertiesontheeigenvalueofthegeneralizedKhatri2Raoproductofthesemi2matricesarepresented.Keywordsmatrix;Khatri2Raoproduct;Hadamardproduct;Kroneckerproduct文[1～2]分别给出了Kronecker积,Hadamared积与Khatri2Rao积的基本定义与性质,本文在...
矩阵广义khatri-Rao积的一些性质及不等式 杜鹃;冯思臣;范啸涛 【摘要】在Kronecker积,Hadamared积与Khatri-Bao积的基础上给出了矩阵A,B的广义Khatri-Rao积f(A,B)的定义.并给出了广义Khatri-Bao积f(A,B)的一些普遍性质,得到正定矩阵、半正定矩阵、非负矩阵、Hermite矩阵的广义Khatri-Rao积的特殊性质.推出了...
本文通过矩阵Schur补和分块矩阵的特殊性质建立了有限个矩阵的Khatri-Rao乘积和Tracy-Singh乘积之间的特殊联系,进一步给出了若干关于矩阵Khatri-Rao乘积的矩阵不等式,其中一些已有的研究成果可以看成本文主要结论的特例. 参考文献: [1]Johnson C R.Partitioned and Hadamard product matrix inequalities[J].Journal of Re...
关键词分块矩阵;Khatri—Rao积{Kroneeker积;Hadamard积;撇阵不等式;酶缝蘧不等式;迹不等式。巾图分类号0151.21AbstractInthisdissertation,westudyakindofblockmatrixKroneckerproductwhichisclaimedKhatri—Raoproductandestablishsomeinequalitie 君,已阅读到文档的结尾了呢~~...
巾图分类号0151.21 Abstract Inthis akindofblock dissertation,we matrixKroneckerwhichis study product claimedKhatri—Raoandestablishsome ofthe product block inequalities product。 Theresults consistofthreeinthis mainly parts paper. 1llthefirst Khatri-RanandKroneckeroftwomatricesare part,the products A.B re...
巾图分类号0151.21 Abstract Inthisdissertation,westudy akindofblockmatrixKronecker product whichis claimedKhatri—Rao product andestablishsome inequalities oftheblock product。 Theresults mainly consistofthree parts inthis paper. 1ll thefirst part,the Khatri-RanandKronecke ...