Geometric Matrix Completion: A Functional View

September 29, 2020 · Entered Twilight · 🏛 arXiv.org

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Repo contents: LICENSE, README.md, functional-matrix-completion.ipynb, synthetic_netflix.mat, training_test_dataset.mat, training_test_dataset_10_NNs.mat

Authors Abhishek Sharma, Maks Ovsjanikov arXiv ID 2009.14343 Category cs.LG: Machine Learning Cross-listed cs.CV, cs.SI, stat.ML Citations 1 Venue arXiv.org Repository https://github.com/Not-IITian/functional-matrix-completion ⭐ 2 Last Checked 2 months ago

Abstract

We propose a totally functional view of geometric matrix completion problem. Differently from existing work, we propose a novel regularization inspired from the functional map literature that is more interpretable and theoretically sound. On synthetic tasks with strong underlying geometric structure, our framework outperforms state of the art by a huge margin (two order of magnitude) demonstrating the potential of our approach. On real datasets, we achieve state-of-the-art results at a fraction of the computational effort of previous methods. Our code is publicly available at https://github.com/Not-IITian/functional-matrix-completion