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arXiv · 2102.03233

Matrix Decomposition on Graphs: A Functional View

Abhishek Sharma·Maks Ovsjanikov
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Abstract

We propose a functional view of matrix decomposition problems on graphs such as geometric matrix completion and graph regularized dimensionality reduction. Our unifying framework is based on the key idea that using a reduced basis to represent functions on the product space is sufficient to recover a low rank matrix approximation even from a sparse signal. We validate our framework on several real and synthetic benchmarks (for both problems) where it either outperforms state of the art or achieves competitive results at a fraction of the computational effort of prior work.

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Abhishek Sharma, Maks Ovsjanikov. 2021-02-05. Matrix Decomposition on Graphs: A Functional View. https://arxiv.org/abs/2102.03233

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