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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence / EAAI-20

Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds

February 1, 2023

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Authors

Tingran Gao

University of Chicago


Shahab Asoodeh

University of Chicago


Yi Huang

University of Chicago


James Evans

University of Chicago


DOI:

10.1609/aaai.v33i01.33013630


Abstract:

Inspired by recent interests of developing machine learning and data mining algorithms on hypergraphs, we investigate in this paper the semi-supervised learning algorithm of propagating ”soft labels” (e.g. probability distributions, class membership scores) over hypergraphs, by means of optimal transportation. Borrowing insights from Wasserstein propagation on graphs [Solomon et al. 2014], we re-formulate the label propagation procedure as a message-passing algorithm, which renders itself naturally to a generalization applicable to hypergraphs through Wasserstein barycenters. Furthermore, in a PAC learning framework, we provide generalization error bounds for propagating one-dimensional distributions on graphs and hypergraphs using 2-Wasserstein distance, by establishing the algorithmic stability of the proposed semisupervised learning algorithm. These theoretical results also shed new lights upon deeper understandings of the Wasserstein propagation on graphs.

Topics: AAAI

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HOW TO CITE:

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds Proceedings of the AAAI Conference on Artificial Intelligence (2019) 3630-3637.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds AAAI 2019, 3630-3637.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans (2019). Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds. Proceedings of the AAAI Conference on Artificial Intelligence, 3630-3637.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans. Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds. Proceedings of the AAAI Conference on Artificial Intelligence 2019 p.3630-3637.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans. 2019. Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds. "Proceedings of the AAAI Conference on Artificial Intelligence". 3630-3637.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans. (2019) "Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds", Proceedings of the AAAI Conference on Artificial Intelligence, p.3630-3637

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans, "Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds", AAAI, p.3630-3637, 2019.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans. "Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds". Proceedings of the AAAI Conference on Artificial Intelligence, 2019, p.3630-3637.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans. "Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds". Proceedings of the AAAI Conference on Artificial Intelligence, (2019): 3630-3637.

Tingran Gao||Shahab Asoodeh||Yi Huang||James Evans. Wasserstein Soft Label Propagation on Hypergraphs: Algorithm and Generalization Error Bounds. AAAI[Internet]. 2019[cited 2023]; 3630-3637.


ISSN: 2374-3468


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