Causal Temporal Representation Learning with Nonstationary Sparse Transition
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Abstract (arXiv)
Causal Temporal Representation Learning (Ctrl) methods aim to identify the temporal causal dynamics of complex nonstationary temporal sequences. Despite the success of existing Ctrl methods, they require either directly observing the domain variables or assuming a Markov prior on them. Such requirements limit the application of these methods in real-world scenarios when we do not have such prior knowledge of the domain variables. To address this problem, this work adopts a sparse transition assumption, aligned with intuitive human understanding, and presents identifiability results from a theoretical perspective. In particular, we explore under what conditions on the significance of the variability of the transitions we can build a model to identify the distribution shifts. Based on the theoretical result, we introduce a novel framework, Causal Temporal Representation Learning with Nonstationary Sparse Transition (CtrlNS), designed to leverage the constraints on transition sparsity and conditional independence to reliably identify both distribution shifts and latent factors. Our experimental evaluations on synthetic and real-world datasets demonstrate significant improvements over existing baselines, highlighting the effectiveness of our approach.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 45 of its 73 references that are in the map. First posted on arXiv 5 Sep 2024.
Builds on
45 of 73 references.
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33 more
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Built on by
Citing papers per year: 2024: 1; 2025: 4; 2026: 7.
12 papers.
- 2025Thought Communication in Multiagent Collaborationcited by 28
- 2025LLM Interpretability with Identifiable Temporal-Instantaneous Representationcited by 4
- 2026TRACE: Trajectory Recovery for Continuous Mechanism Evolution in Causal Representation Learningcited by 4
- 2024Unsupervised Representation Learning from Sparse Transformation Analysiscited by 2
- 2026Causal Representation Meets Stochastic Modeling under Generic Geometrycited by 2
- 2026Hierarchical Action Learning for Weakly-Supervised Action Segmentationcited by 1
- 2026Identifiability of Potentially Degenerate Gaussian Mixture Models With Piecewise Affine Mixingcited by 1
- 2026MOSAIC: Module Discovery via Sparse Additive Identifiable Causal Learning for Scientific Time Seriescited by 1
- 2026End-to-End Identifiable and Consistent Recurrent Switching Dynamical Systemscited by 1
- 2025Infant Cry Detection Using Causal Temporal Representationcited by 0
- 2025Linear Causal Representation Learning by Topological Ordering, Pruning, and Disentanglementcited by 0
- 2026Disentangling Continuous-Time Latent Dynamics: Identifiability of Latent SDEs via Diffusion Shiftscited by 0
- 2026Disentangling Continuous-Time Latent Dynamics: Identifiability of Latent SDEs via Diffusion Shifts26 Jun 2026
- 2026End-to-End Identifiable and Consistent Recurrent Switching Dynamical Systems7 May 2026
- 2026MOSAIC: Module Discovery via Sparse Additive Identifiable Causal Learning for Scientific Time Series6 May 2026
- 2026Identifiability of Potentially Degenerate Gaussian Mixture Models With Piecewise Affine Mixing14 Apr 2026
- 2026Hierarchical Action Learning for Weakly-Supervised Action Segmentation27 Feb 2026
- 2026Causal Representation Meets Stochastic Modeling under Generic Geometry4 Feb 2026
- 2026TRACE: Trajectory Recovery for Continuous Mechanism Evolution in Causal Representation Learning29 Jan 2026
- 2025Thought Communication in Multiagent Collaboration23 Oct 2025
- 2025LLM Interpretability with Identifiable Temporal-Instantaneous Representation27 Sep 2025
- 2025Linear Causal Representation Learning by Topological Ordering, Pruning, and Disentanglement26 Sep 2025
- 2025Infant Cry Detection Using Causal Temporal Representation8 Mar 2025
- 2024Unsupervised Representation Learning from Sparse Transformation Analysis7 Oct 2024