Results 31 to 40 of about 19,436 (200)
On the Tensor SVD and the Optimal Low Rank Orthogonal Approximation of Tensors [PDF]
SIAM Journal on Matrix Analysis and Applications, 2009 It is known that a higher order tensor does not necessarily have an optimal low rank approximation, and that a tensor might not be orthogonally decomposable (i.e., admit a tensor SVD). We provide several sufficient conditions which lead to the failure of the tensor SVD, and characterize the existence of the tensor SVD with respect to the higher order ...
Jie Chen, Yousef Saad
openaire +1 more source
Вестник рентгенологии и радиологии, 2019 Objective. To compare diffusion-tensor imaging (DTI) measures in different anatomic regions of the brain in patients with an isolated Alzheimer's disease (AD) and patients with AD and small-vessel disease (SVD).Material and methods.
V. A. Perepelov +6 more
doaj +1 more source
Mechanisms of cognitive impairment in cerebral small vessel disease: multimodal MRI results from the St George's cognition and neuroimaging in stroke (SCANS) study. [PDF]
PLoS ONE, 2013 Cerebral small vessel disease (SVD) is a common cause of vascular cognitive impairment. A number of disease features can be assessed on MRI including lacunar infarcts, T2 lesion volume, brain atrophy, and cerebral microbleeds.
Andrew J Lawrence +6 more
doaj +1 more source
A Geometric Perspective on the Singular Value Decomposition [PDF]
, 2015 This is an introductory survey, from a geometric perspective, on the Singular Value Decomposition (SVD) for real matrices, focusing on the role of the Terracini Lemma.
Ottaviani, Giorgio, Paoletti, Raffaella
core +3 more sources
Robust Tensor Completion Using Transformed Tensor SVD
, 2019 In this paper, we study robust tensor completion by using transformed tensor singular value decomposition (SVD), which employs unitary transform matrices instead of discrete Fourier transform matrix that is used in the traditional tensor SVD. The main motivation is that a lower tubal rank tensor can be obtained by using other unitary transform matrices
Song, Guangjing +2 more
openaire +2 more sources
Serum Neurofilament Light Chain Levels Are Related to Small Vessel Disease Burden [PDF]
Journal of Stroke, 2018 Background and Purpose Neurofilament light chain (NfL) is a blood marker for neuroaxonal damage. We assessed the association between serum NfL and cerebral small vessel disease (SVD), which is highly prevalent in elderly individuals and a major cause of ...
Marco Duering +16 more
doaj +1 more source
Matrix Product Representation of Locality Preserving Unitaries [PDF]
, 2017 The matrix product representation provides a useful formalism to study not only entangled states, but also entangled operators in one dimension. In this paper, we focus on unitary transformations and show that matrix product operators that are unitary ...
Bi, Feng +3 more
core +3 more sources
Rank revealing‐based tensor completion using improved generalized tensor multi‐rank minimization
IET Signal Processing, 2021 The authors address the problem of tensor completion from limited samplings. An improved generalized tubal Kronecker decomposition is first proposed to reveal the tensor structure of the targeted data, and the improved generalized tensor tubal‐rank and ...
Wei Z. Sun, Peng Zhang, Bo Zhao
doaj +1 more source
A constructive arbitrary-degree Kronecker product decomposition of tensors [PDF]
, 2016 We propose the tensor Kronecker product singular value decomposition~(TKPSVD) that decomposes a real $k$-way tensor $\mathcal{A}$ into a linear combination of tensor Kronecker products with an arbitrary number of $d$ factors $\mathcal{A} = \sum_{j=1}^R ...
Batselier, Kim, Wong, Ngai
core +2 more sources