Results 31 to 40 of about 207,171 (287)

A Spectral Theory for Tensors [PDF]

open access: yes, 2011
In this paper we propose a general spectral theory for tensors. Our proposed factorization decomposes a tensor into a product of orthogonal and scaling tensors.
Elgammal, Ahmed   +2 more
core   +2 more sources

Sparse Deep Nonnegative Matrix Factorization

open access: yesBig Data Mining and Analytics, 2020
Nonnegative Matrix Factorization (NMF) is a powerful technique to perform dimension reduction and pattern recognition through single-layer data representation learning. However, deep learning networks, with their carefully designed hierarchical structure,
Zhenxing Guo, Shihua Zhang
doaj   +1 more source

Quaternion Matrix Factorization for Low-Rank Quaternion Matrix Completion

open access: yesMathematics, 2023
The main aim of this paper is to study quaternion matrix factorization for low-rank quaternion matrix completion and its applications in color image processing.
Jiang-Feng Chen   +3 more
doaj   +1 more source

Localization of Matrix Factorizations [PDF]

open access: yesFoundations of Computational Mathematics, 2014
Matrices with off-diagonal decay appear in a variety of fields in mathematics and in numerous applications, such as signal processing, statistics, communications engineering, condensed matter physics, and quantum chemistry. Numerical algorithms dealing with such matrices often take advantage (implicitly or explicitly) of the empirical observation that ...
Krishtal, Ilya   +2 more
openaire   +4 more sources

Face Recognition Based on Wavelet Kernel Non-Negative Matrix Factorization

open access: yesCybernetics and Information Technologies, 2014
In this paper a novel face recognition algorithm, based on wavelet kernel non-negative matrix factorization (WKNMF), is proposed. By utilizing features from multi-resolution analysis, the nonlinear mapping capability of kernel nonnegative matrix ...
Bai, Lin, Li Yanbo, Hui Meng
doaj   +1 more source

Content-boosted Matrix Factorization Techniques for Recommender Systems [PDF]

open access: yes, 2013
Many businesses are using recommender systems for marketing outreach. Recommendation algorithms can be either based on content or driven by collaborative filtering.
Nguyen, Jennifer, Zhu, Mu
core   +1 more source

Quivers from Matrix Factorizations [PDF]

open access: yesCommunications in Mathematical Physics, 2012
We discuss how matrix factorizations offer a practical method of computing the quiver and associated superpotential for a hypersurface singularity. This method also yields explicit geometrical interpretations of D-branes (i.e., quiver representations) on a resolution given in terms of Grassmannians. As an example we analyze some non-toric singularities
Aspinwall, Paul S., Morrison, David R.
openaire   +2 more sources

Network Embedding Using Deep Robust Nonnegative Matrix Factorization

open access: yesIEEE Access, 2020
As an effective technique to learn low-dimensional node features in complicated network environment, network embedding has become a promising research direction in the field of network analysis.
Chaobo He   +5 more
doaj   +1 more source

Discriminant projective non-negative matrix factorization. [PDF]

open access: yesPLoS ONE, 2013
Projective non-negative matrix factorization (PNMF) projects high-dimensional non-negative examples X onto a lower-dimensional subspace spanned by a non-negative basis W and considers W(T) X as their coefficients, i.e., X≈WW(T) X.
Naiyang Guan   +4 more
doaj   +1 more source

Guided Semi-Supervised Non-Negative Matrix Factorization

open access: yesAlgorithms, 2022
Classification and topic modeling are popular techniques in machine learning that extract information from large-scale datasets. By incorporating a priori information such as labels or important features, methods have been developed to perform ...
Pengyu Li   +6 more
doaj   +1 more source

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