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An Accelerated Symmetric Nonnegative Matrix Factorization Algorithm Using Extrapolation [PDF]

open access: yesSymmetry, 2020
Symmetric nonnegative matrix factorization (SNMF) approximates a symmetric nonnegative matrix by the product of a nonnegative low-rank matrix and its transpose. SNMF has been successfully used in many real-world applications such as clustering. In this paper, we propose an accelerated variant of the multiplicative update (MU) algorithm of He et al ...
Zhaoshui He, Ji Tan, Beihai Tan
exaly   +3 more sources

Randomized Algorithms for Symmetric Nonnegative Matrix Factorization

open access: yesSIAM Journal on Matrix Analysis and Applications
Abstract. Symmetric Nonnegative Matrix Factorization (SymNMF) is a technique in data analysis and machine learning that approximates a symmetric matrix with a product of a nonnegative, low-rank matrix and its transpose. To design faster and more scalable algorithms for SymNMF, we develop two randomized algorithms for its computation ...
Haesun Park   +2 more
exaly   +8 more sources
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Efficient Algorithm for Sparse Symmetric Nonnegative Matrix Factorization

Pattern Recognition Letters, 2019
Abstract Symmetric Nonnegative Matrix Factorization (symNMF) is a special case of the standard Nonnegative Matrix Factorization (NMF) method which is the most popular linear dimensionality reduction technique for analyzing nonnegative data. Examples of symmetric matrices that arise in real-life applications include covariance matrices in finance ...
Melisew Belachew
exaly   +3 more sources

A Collaborative Neurodynamic Approach to Symmetric Nonnegative Matrix Factorization

Lecture Notes in Computer Science, 2018
This paper presents a collaborative neurodynamic approach to symmetric nonnegative matrix factorization (SNMF). First, a formulated nonconvex optimization problem of SNMF is described. To solve this problem, a neurodynamic model based on an augmented Lagrangian function is proposed and proven to be convergent to a strict local optimal solution under ...
Jun Wang, Hangjun Che
exaly   +2 more sources

Block-Diagonal Guided Symmetric Nonnegative Matrix Factorization

IEEE Transactions on Knowledge and Data Engineering, 2021
Symmetric nonnegative matrix factorization (SNMF) is effective to cluster nonlinearly separable data, which uses the constructed graph to capture the structure of inherent clusters. Nevertheless, many SNMF-based clustering approaches implicitly enforce either the sparseness constraint or the smoothness constraint with the limited supervised information
Yalan Qin   +3 more
openaire   +2 more sources

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