Fast Circulant Tensor Power Method for High-Order Principal Component Analysis
To understand high-order intrinsic key patterns in high-dimensional data, tensor decomposition is a more versatile tool for data analysis than standard flat-view matrix models. Several existing tensor models aim to achieve rapid computation of high-order
Taehyeon Kim, Yoonsik Choe
doaj +1 more source
DeepTensor: Low-Rank Tensor Decomposition With Deep Network Priors [PDF]
DeepTensor is a computationally efficient framework for low-rank decomposition of matrices and tensors using deep generative networks. We decompose a tensor as the product of low-rank tensor factors (e.g., a matrix as the outer product of two vectors ...
Vishwanath Saragadam +3 more
semanticscholar +1 more source
Block Row Kronecker-Structured Linear Systems With a Low-Rank Tensor Solution
Several problems in compressed sensing and randomized tensor decomposition can be formulated as a structured linear system with a constrained tensor as the solution.
Stijn Hendrikx +3 more
doaj +1 more source
Searching to Sparsify Tensor Decomposition for N-ary Relational Data [PDF]
Tensor, an extension of the vector and matrix to the multi-dimensional case, is a natural way to describe the N-ary relational data. Recently, tensor decomposition methods have been introduced into N-ary relational data and become state-of-the-art on ...
Shimin Di, Quanming Yao, Lei Chen
semanticscholar +1 more source
N Dimensional Tensor Decomposition Recommendation Algorithm Based on User’s Neighbors [PDF]
Recommendation algorithm based on tensor factorization has low accuracy and data sparseness problem.Therefore,on the basic of the traditional tensor decomposition model,this paper introduces the user nearest neighbor information,and proposes N ...
CHEN Jianmei,SUN Yajun
doaj +1 more source
A Contemporary and Comprehensive Survey on Streaming Tensor Decomposition
Tensor decomposition has been demonstrated to be successful in a wide range of applications, from neuroscience and wireless communications to social networks. In an online setting, factorizing tensors derived from multidimensional data streams is however
Thanh Trung LE +3 more
semanticscholar +1 more source
DOA Estimation for Transmit Beamspace MIMO Radar via Tensor Decomposition With Vandermonde Factor Matrix [PDF]
We address the problem of tensor decomposition in application to direction-of-arrival (DOA) estimation for two-dimensional transmit beamspace (TB) multiple-input multiple-output (MIMO) radar.
Feng Xu, M. Morency, S. Vorobyov
semanticscholar +1 more source
Tensor Decomposition-Inspired Convolutional Autoencoders for Hyperspectral Anomaly Detection
Anomaly detection from hyperspectral images (HSI) is an important task in the remote sensing domain. Considering the three-order characteristics of HSI, many tensor decomposition based hyperspectral anomaly detection (HAD) models have been proposed and ...
Bangyong Sun +4 more
doaj +1 more source
Skew-symmetric tensor decomposition [PDF]
We introduce the “skew apolarity lemma” and we use it to give algorithms for the skew-symmetric rank and the decompositions of tensors in [Formula: see text] with [Formula: see text] and [Formula: see text]. New algorithms to compute the rank and a minimal decomposition of a tritensor are also presented.
Enrique Esteban Arrondo +3 more
openaire +5 more sources
EA-ADMM: noisy tensor PARAFAC decomposition based on element-wise average ADMM
Tensor decomposition is widely used to exploit the internal correlation in multi-way data analysis and process for communications and radar systems.
Gang Yue, Zhuo Sun
doaj +1 more source

