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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 10: AAAI-21 Technical Tracks 10

Improved Mutual Information Estimation

February 1, 2023

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Authors

Youssef Mroueh

IBM Research AI


Igor Melnyk

IBM Research AI


Pierre Dognin

IBM Research AI


Jarret Ross

IBM Research AI


Tom Sercu

IBM Research AI


DOI:

10.1609/aaai.v35i10.17089


Abstract:

We propose to estimate the KL divergence using a relaxed likelihood ratio estimation in a Reproducing Kernel Hilbert space. We show that the dual of our ratio estimator for KL in the particular case of Mutual Information estimation corresponds to a lower bound on the MI that is related to the so called Donsker Varadhan lower bound. In this dual form, MI is estimated via learning a witness function discriminating between the joint density and the product of marginal, as well as an auxiliary scalar variable that enforces a normalization constraint on the likelihood ratio. By extending the function space to neural networks, we propose an efficient neural MI estimator, and validate its performance on synthetic examples, showing advantage over the existing baselines. We demonstrate its strength in large-scale self-supervised representation learning through MI maximization.

Topics: AAAI

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HOW TO CITE:

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu Improved Mutual Information Estimation Proceedings of the AAAI Conference on Artificial Intelligence (2021) 9009-9017.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu Improved Mutual Information Estimation AAAI 2021, 9009-9017.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu (2021). Improved Mutual Information Estimation. Proceedings of the AAAI Conference on Artificial Intelligence, 9009-9017.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu. Improved Mutual Information Estimation. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.9009-9017.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu. 2021. Improved Mutual Information Estimation. "Proceedings of the AAAI Conference on Artificial Intelligence". 9009-9017.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu. (2021) "Improved Mutual Information Estimation", Proceedings of the AAAI Conference on Artificial Intelligence, p.9009-9017

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu, "Improved Mutual Information Estimation", AAAI, p.9009-9017, 2021.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu. "Improved Mutual Information Estimation". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.9009-9017.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu. "Improved Mutual Information Estimation". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 9009-9017.

Youssef Mroueh||Igor Melnyk||Pierre Dognin||Jarret Ross||Tom Sercu. Improved Mutual Information Estimation. AAAI[Internet]. 2021[cited 2023]; 9009-9017.


ISSN: 2374-3468


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Copyright 2022, Association for the Advancement of
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