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Positive tensor factorization

Pattern Recognition Letters, 2001
Summary: A novel fixed point algorithm for Positive Tensor Factorization (PTF) is introduced. The update rules efficiently minimize the reconstruction error of a positive tensor over positive factors. Tensors of arbitrary order can be factorized, which extends earlier results in the literature.
Welling, Max, Weber, Markus
openaire   +1 more source

A faster tensor robust PCA via tensor factorization

International Journal of Machine Learning and Cybernetics, 2020
Many kinds of real-world multi-way signal, like color images, videos, etc., are represented in tensor form and may often be corrupted by outliers. To recover an unknown signal tensor corrupted by outliers, tensor robust principal component analysis (TRPCA) serves as a robust tensorial modification of the fundamental PCA.
An-Dong Wang, Zhong Jin, Jing-Yu Yang
openaire   +1 more source

Factorized Tensor Dictionary Learning for Visual Tensor Data Completion

IEEE Transactions on Multimedia, 2021
This paper aims at developing a dictionary-learning-based method for completing the visual tensor data with missing elements. Traditional dictionary learning approaches suffer from very high computational costs when processing high-dimensional tensor data.
Ruotao Xu, Yong Xu, Yuhui Quan
openaire   +1 more source

Coupled graph tensor factorization

2016 50th Asilomar Conference on Signals, Systems and Computers, 2016
Factorization of a single matrix or tensor has been used widely to reveal interpretable factors or predict missing data. However, in many cases side information may be available, such as social network activities and user demographic data together with Netflix data.
Ahmed S. Zamzam   +2 more
openaire   +1 more source

Transit Pattern Detection Using Tensor Factorization

INFORMS Journal on Computing, 2019
Understanding citywide transit patterns is important for transportation management, including city planning and route optimization. The wide deployment of automated fare collection (AFC) systems in public transit vehicles has enabled us to collect massive amounts of transit records, which capture passengers’ traveling activities. Based on such transit
Bowen Du   +4 more
openaire   +1 more source

UNBRAIDING TRANSFORMATIONS FOR BRAIDED TENSOR FACTORS

Modern Physics Letters A, 2001
Two quantum group covariant algebras [Formula: see text] can be embedded in a larger one through the so-called braided tensor product, whereby they do not commute with each other. We briefly report on our transformations of generators8 which allow to express this braided tensor product algebra as an ordinary tensor product algebra of [Formula: see ...
FIORE, GAETANO, H. STEINHACKER, J. WESS
openaire   +2 more sources

Probabilistic Latent Tensor Factorization

2010
We develop a probabilistic framework for multiway analysis of high dimensional datasets. By exploiting a link between graphical models and tensor factorization models we can realize any arbitrary tensor factorization structure, and many popular models such as CP or TUCKER models with Euclidean error and their non-negative variants with KL error appear ...
Y. Kenan Yılmaz, A. Taylan Cemgil
openaire   +1 more source

Tensor Independent Component Analysis and Tensor Non-Negative Factorization

2009
In this chapter, we describe two tensor-based subspace analysis approaches (tensor ICA and tensor NMF) that can be used in many fields like face recognition and other biometric recognition. Section 10.1 gives the background and development of the two tensor-based subspace analysis approaches.
David Zhang   +3 more
openaire   +1 more source

Logarithmic Norm Regularized Low-Rank Factorization for Matrix and Tensor Completion

IEEE Transactions on Image Processing, 2021
Lin Chen, Xue Jiang, Xingzhao Liu
exaly  

Nonlocal Sparse Tensor Factorization for Semiblind Hyperspectral and Multispectral Image Fusion

IEEE Transactions on Cybernetics, 2020
Renwei Dian, Chengchao Li, Leyuan Fang
exaly  

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