Self-supervised contrastive learning performs non-linear system identification

Fuente: arXiv
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Auteurs principaux: Laiz, Rodrigo González, Schmidt, Tobias, Schneider, Steffen
Format: Preprint
Publié: 2024
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author Laiz, Rodrigo González
Schmidt, Tobias
Schneider, Steffen
author_facet Laiz, Rodrigo González
Schmidt, Tobias
Schneider, Steffen
contents Self-supervised learning (SSL) approaches have brought tremendous success across many tasks and domains. It has been argued that these successes can be attributed to a link between SSL and identifiable representation learning: Temporal structure and auxiliary variables ensure that latent representations are related to the true underlying generative factors of the data. Here, we deepen this connection and show that SSL can perform system identification in latent space. We propose dynamics contrastive learning, a framework to uncover linear, switching linear and non-linear dynamics under a non-linear observation model, give theoretical guarantees and validate them empirically.
format Preprint
id arxiv_https___arxiv_org_abs_2410_14673
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Self-supervised contrastive learning performs non-linear system identification
Laiz, Rodrigo González
Schmidt, Tobias
Schneider, Steffen
Machine Learning
Self-supervised learning (SSL) approaches have brought tremendous success across many tasks and domains. It has been argued that these successes can be attributed to a link between SSL and identifiable representation learning: Temporal structure and auxiliary variables ensure that latent representations are related to the true underlying generative factors of the data. Here, we deepen this connection and show that SSL can perform system identification in latent space. We propose dynamics contrastive learning, a framework to uncover linear, switching linear and non-linear dynamics under a non-linear observation model, give theoretical guarantees and validate them empirically.
title Self-supervised contrastive learning performs non-linear system identification
topic Machine Learning
url https://arxiv.org/abs/2410.14673