Self-supervised contrastive learning performs non-linear system identification
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Abstract (arXiv)
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.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Builds on 43 of its 68 references that are in the map. First posted on arXiv 18 Oct 2024.
Builds on
43 of 68 references.
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Built on by
Citing papers per year: 2025: 3; 2026: 6.
9 papers.
- 2026Understanding Self-Supervised Learning via Latent Distribution Matchingcited by 4
- 2025Maximum Likelihood Learning of Latent Dynamics Without Reconstructioncited by 3
- 2025Equivariance by Contrast: Identifiable Equivariant Embeddings from Unlabeled Finite Group Actionscited by 2
- 2026Extracting Governing Equations from Latent Dynamics via Multi-View Contrastive Learningcited by 1
- 2025ReNF: Rethinking the Design of Neural Long-Term Time Series Forecasterscited by 0
- 2026Identify then Realize: Contrastive Learning of Latent Port-Hamiltonian Dynamics from Partial Observationscited by 0
- 2026Template Collapse and Information-Theoretic Limits in Camera rPPG Pulse Morphology Restorationcited by 0
- 2026Machine Learning Methods for Studying Latent Neural Activity Dynamicscited by 0
- 2026Predictive Self-Supervised Learning Provably Identifies Stochastic Signals under Nuisancecited by 0
- 2026Predictive Self-Supervised Learning Provably Identifies Stochastic Signals under Nuisance29 Sep 2026
- 2026Extracting Governing Equations from Latent Dynamics via Multi-View Contrastive Learning11 Jun 2026
- 2026Machine Learning Methods for Studying Latent Neural Activity Dynamics9 Jun 2026
- 2026Template Collapse and Information-Theoretic Limits in Camera rPPG Pulse Morphology Restoration2 Jun 2026
- 2026Identify then Realize: Contrastive Learning of Latent Port-Hamiltonian Dynamics from Partial Observations15 May 2026
- 2026Understanding Self-Supervised Learning via Latent Distribution Matching5 May 2026
- 2025Equivariance by Contrast: Identifiable Equivariant Embeddings from Unlabeled Finite Group Actions24 Oct 2025
- 2025ReNF: Rethinking the Design of Neural Long-Term Time Series Forecasters30 Sep 2025
- 2025Maximum Likelihood Learning of Latent Dynamics Without Reconstruction29 May 2025