Rank-one tensor injection: A novel method for canonical polyadic tensor decompositiondoi:10.1109/icassp.2016.7472137Anh-Huy PhanPetr TichavskyAndrzej CichockiIEEEInternational Conference on Acoustics, Speech, and Signal Processing
We derive several perturbative results that are relevant to the well-posedness of recovering rank-one structure from approximately-rank-one symmetric tensors. We also specialize the analysis of the shifted symmetric higher-order power method, an algorithm for computing symmetric tensor eigenvectors, to...
We show that sums of rank one tensors (or separable functions) representing the so-called Candecomp/Parafac or CP-decomposition is used effectively to solve the chemical master equations as in many cases the effective tensor rank of the probability distribution only grows slowly with time. Both ...
A Rank-One Tensor Updating Algorithm for Tensor Completion matrices, our optimization model directly employs the tensor nuclear norm ...amounts to computing the tensor spectral norm and the related rank-one ... Y Yang,Y Feng,JAK Suykens - 《IEEE Signal Processing Letters》 被引量: 18发表: ...
Quantics tensor train (QTT), a new data-sparse format for one- and multi-dimensional vectors, is based on a bit representation of mode indices followed by a separation of variables. A radix-2 recursion, that lays behind the famous FFT algorithm, can be efficiently applied to vectors in th...
The sublinear convergence rate estimate is in terms of the dimension and the order of the underlying tensor space. Then, we examine the concept of nondegenerate singular vector tuples and show that, if the sequence of HOPM converges to a nondegenerate singular vector tuple, then the global ...
通过构造证明了新的矩阵分解定理,并且我们证明了构造过程可以有效,稳定和准确地实现。本文给出了Matlab程序的URL。我们坚信,新的分解过程可作为解决具有几个二次约束的非凸二次优化的一种方法,对于许多其他潜在的工程应用也是有用的。 著录项 来源 《Mathematical Programming》|2011年第2期|p.253-283|共31页...
We then compute explicitly the group, under tensor product, of isomorphism classes of rank one solvable differential equations. Moreover, we get a canonical way to compute the rank one φ-module over $epsilon^dagger_{K_infty}$ attached to a rank one representation of $mathrm{Gal}(k(!(t)...
We investigate a family of isotropic volumetric-isochorically decoupled strain energies based on the Hencky-logarithmic (true, natural) strain tensor log U . The main result of this note is that for n =2 the considered energies are rank-... P Neff,I Ghiba,J Lankeit,... - 《Pamm》 被...
On the Limitation of Spectral Methods: From the Gaussian Hidden Clique Problem to Rank One Perturbations of Gaussian Tensors We consider the following detection problem: given a realization of a symmetric matrix X of dimension n , distinguish between the hypothesis that all upper... A Montanari,...