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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 27 / No. 1: Twenty-Seventh AAAI Conference on Artificial Intelligence

Robust Discrete Matrix Completion

March 8, 2023

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Authors

Jin Huang

University of Texas at Arlington


Feiping Nie

University of Texas at Arlington


Heng Huang

University of Texas at Arlington


DOI:

10.1609/aaai.v27i1.8675


Abstract:

Most existing matrix completion methods seek the matrix global structure in the real number domain and produce predictions that are inappropriate for applications retaining discrete structure, where an additional step is required to post-process prediction results with either heuristic threshold parameters or complicated mappings. Such an ad-hoc process is inefficient and impractical. In this paper, we propose a novel robust discrete matrix completion algorithm that produces the prediction from the collection of user specified discrete values by introducing a new discrete constraint to the matrix completion model. Our method achieves a high prediction accuracy, very close to the most optimal value of competitive methods with threshold values tuning. We solve the difficult integer programming problem via incorporating augmented Lagrangian method in an elegant way, which greatly accelerates the converge process of our method and provides the asymptotic convergence in theory. The proposed discrete matrix completion model is applied to solve three real-world applications, and all empirical results demonstrate the effectiveness of our method.

Topics: AAAI

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HOW TO CITE:

Jin Huang|| Feiping Nie|| Heng Huang Robust Discrete Matrix Completion Proceedings of the AAAI Conference on Artificial Intelligence, 27 (2013) 424.

Jin Huang|| Feiping Nie|| Heng Huang Robust Discrete Matrix Completion AAAI 2013, 424.

Jin Huang|| Feiping Nie|| Heng Huang (2013). Robust Discrete Matrix Completion. Proceedings of the AAAI Conference on Artificial Intelligence, 27, 424.

Jin Huang|| Feiping Nie|| Heng Huang. Robust Discrete Matrix Completion. Proceedings of the AAAI Conference on Artificial Intelligence, 27 2013 p.424.

Jin Huang|| Feiping Nie|| Heng Huang. 2013. Robust Discrete Matrix Completion. "Proceedings of the AAAI Conference on Artificial Intelligence, 27". 424.

Jin Huang|| Feiping Nie|| Heng Huang. (2013) "Robust Discrete Matrix Completion", Proceedings of the AAAI Conference on Artificial Intelligence, 27, p.424

Jin Huang|| Feiping Nie|| Heng Huang, "Robust Discrete Matrix Completion", AAAI, p.424, 2013.

Jin Huang|| Feiping Nie|| Heng Huang. "Robust Discrete Matrix Completion". Proceedings of the AAAI Conference on Artificial Intelligence, 27, 2013, p.424.

Jin Huang|| Feiping Nie|| Heng Huang. "Robust Discrete Matrix Completion". Proceedings of the AAAI Conference on Artificial Intelligence, 27, (2013): 424.

Jin Huang|| Feiping Nie|| Heng Huang. Robust Discrete Matrix Completion. AAAI[Internet]. 2013[cited 2023]; 424.


ISSN: 2374-3468


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