Hierarchical Alternating Least Squares Methods for Quaternion Nonnegative Matrix Factorizations

Document detail

ID

oai:arXiv.org:2407.15557

Topic

Mathematics - Numerical Analysis

Author

Pan, Junjun

Year

2024

listing date

7/24/2024

Keywords

nonnegative method

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Abstract

In this report, we discuss a simple model for RGB color and polarization images under a unified framework of quaternion nonnegative matrix factorization (QNMF) and present a hierarchical nonnegative least squares method to solve the factor matrices.

The convergence analysis of the algorithm is discussed as well.

We test the proposed method in the polarization image and color facial image representation.

Compared to the state-of-the-art methods, the experimental results demonstrate the effectiveness of the hierarchical nonnegative least squares method for the QNMF model.

Pan, Junjun, 2024, Hierarchical Alternating Least Squares Methods for Quaternion Nonnegative Matrix Factorizations

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