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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence

Active Learning in the Geometric Block Model

February 1, 2023

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Authors

Eli Chien

University of Illinois Urbana-Champaign


Antonia Tulino

Nokia Bell Labs


Jaime Llorca

Nokia Bell Labs


DOI:

10.1609/aaai.v34i04.5772


Abstract:

The geometric block model is a recently proposed generative model for random graphs that is able to capture the inherent geometric properties of many community detection problems, providing more accurate characterizations of practical community structures compared with the popular stochastic block model. Galhotra et al. recently proposed a motif-counting algorithm for unsupervised community detection in the geometric block model that is proved to be near-optimal. They also characterized the regimes of the model parameters for which the proposed algorithm can achieve exact recovery. In this work, we initiate the study of active learning in the geometric block model. That is, we are interested in the problem of exactly recovering the community structure of random graphs following the geometric block model under arbitrary model parameters, by possibly querying the labels of a limited number of chosen nodes. We propose two active learning algorithms that combine the use of motif-counting with two different label query policies. Our main contribution is to show that sampling the labels of a vanishingly small fraction of nodes (sub-linear in the total number of nodes) is sufficient to achieve exact recovery in the regimes under which the state-of-the-art unsupervised method fails. We validate the superior performance of our algorithms via numerical simulations on both real and synthetic datasets.

Topics: AAAI

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HOW TO CITE:

Eli Chien||Antonia Tulino||Jaime Llorca Active Learning in the Geometric Block Model Proceedings of the AAAI Conference on Artificial Intelligence (2020) 3641-3648.

Eli Chien||Antonia Tulino||Jaime Llorca Active Learning in the Geometric Block Model AAAI 2020, 3641-3648.

Eli Chien||Antonia Tulino||Jaime Llorca (2020). Active Learning in the Geometric Block Model. Proceedings of the AAAI Conference on Artificial Intelligence, 3641-3648.

Eli Chien||Antonia Tulino||Jaime Llorca. Active Learning in the Geometric Block Model. Proceedings of the AAAI Conference on Artificial Intelligence 2020 p.3641-3648.

Eli Chien||Antonia Tulino||Jaime Llorca. 2020. Active Learning in the Geometric Block Model. "Proceedings of the AAAI Conference on Artificial Intelligence". 3641-3648.

Eli Chien||Antonia Tulino||Jaime Llorca. (2020) "Active Learning in the Geometric Block Model", Proceedings of the AAAI Conference on Artificial Intelligence, p.3641-3648

Eli Chien||Antonia Tulino||Jaime Llorca, "Active Learning in the Geometric Block Model", AAAI, p.3641-3648, 2020.

Eli Chien||Antonia Tulino||Jaime Llorca. "Active Learning in the Geometric Block Model". Proceedings of the AAAI Conference on Artificial Intelligence, 2020, p.3641-3648.

Eli Chien||Antonia Tulino||Jaime Llorca. "Active Learning in the Geometric Block Model". Proceedings of the AAAI Conference on Artificial Intelligence, (2020): 3641-3648.

Eli Chien||Antonia Tulino||Jaime Llorca. Active Learning in the Geometric Block Model. AAAI[Internet]. 2020[cited 2023]; 3641-3648.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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