Recurrent switching linear dynamical systems
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Abstract (arXiv)
Many natural systems, such as neurons firing in the brain or basketball teams traversing a court, give rise to time series data with complex, nonlinear dynamics. We can gain insight into these systems by decomposing the data into segments that are each explained by simpler dynamic units. Building on switching linear dynamical systems (SLDS), we present a new model class that not only discovers these dynamical units, but also explains how their switching behavior depends on observations or continuous latent states. These "recurrent" switching linear dynamical systems provide further insight by discovering the conditions under which each unit is deployed, something that traditional SLDS models fail to do. We leverage recent algorithmic advances in approximate inference to make Bayesian inference in these models easy, fast, and scalable.
Key facts. Cited by 34 papers in the map (data through 7 Oct 2026). First posted on arXiv 26 Oct 2016.
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Citing papers per year: 2021: 3; 2022: 4; 2023: 4; 2024: 10; 2025: 8; 2026: 5.
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- 2022Is a Modular Architecture Enough?cited by 35
- 2024Out-of-Domain Generalization in Dynamical Systems Reconstructioncited by 33
- 2022Learning Options via Compressioncited by 22
- 2023Beyond Geometry: Comparing the Temporal Structure of Computation in Neural Circuits with Dynamical Similarity Analysiscited by 21
- 2024Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstructioncited by 18
- 2021Deep Explicit Duration Switching Models for Time Seriescited by 17
- 2022Decomposed Linear Dynamical Systems (dLDS) for learning the latent components of neural dynamicscited by 16
- 2023Graph Switching Dynamical Systemscited by 10
- 2023On the Identifiability of Switching Dynamical Systemscited by 9
- 2024A scalable generative model for dynamical system reconstruction from neuroimaging datacited by 9
- 2025Continuous Locomotive Crowd Behavior Generationcited by 7
- 2024Probabilistic Decomposed Linear Dynamical Systems for Robust Discovery of Latent Neural Dynamicscited by 6
22 more
- 2025Inverse Reinforcement Learning with Switching Rewards and History Dependency for Characterizing Animal Behaviorscited by 6
- 2025POCO: Scalable Neural Forecasting through Population Conditioningcited by 6
- 2023SiBBlInGS: Similarity-driven Building-Block Inference using Graphs across Statescited by 5
- 2024Navigation under uncertainty: Trajectory prediction and occlusion reasoning with switching dynamical systemscited by 4
- 2025Uncovering the Computational Roles of Nonlinearity in Sequence Modeling Using Almost-Linear RNNscited by 4
- 2025Conformal Prediction for Time-series Forecasting with Change Pointscited by 4
- 2026Learning-to-Defer in Non-Stationary Time Series via Switching State-Space Modelscited by 4
- 2021Segmenting Hybrid Trajectories using Latent ODEscited by 3
- 2025AXIOM: Learning to Play Games in Minutes with Expanding Object-Centric Modelscited by 3
- 2025Detecting Invariant Manifolds in ReLU-Based RNNscited by 3
- 2026Continuous-Time Piecewise-Linear Recurrent Neural Networkscited by 3
- 2026Position: A Dynamical Systems Perspective is Needed to Advance Time Series Modelingcited by 3
- 2021Learning Reactive and Predictive Differentiable Controllers for Switching Linear Dynamical Modelscited by 1
- 2024LINOCS: Lookahead Inference of Networked Operators for Continuous Stabilitycited by 1
- 2024A study of animal action segmentation algorithms across supervised, unsupervised, and semi-supervised learning paradigmscited by 1
- 2022Parameter-varying neural ordinary differential equations with partition-of-unity networkscited by 0
- 2024Long Range Switching Time Series Prediction via State Space Modelcited by 0
- 2024Hybrid Recurrent Models Support Emergent Descriptions for Hierarchical Planning and Controlcited by 0
- 2024Learning in Hybrid Active Inference Modelscited by 0
- 2025Coupled Transformer Autoencoder for Disentangling Multi-Region Neural Latent Dynamicscited by 0
- 2026Behavior-dLDS: A decomposed linear dynamical systems model for neural activity partially constrained by behaviorcited by 0
- 2026CalM: A Self-Supervised Foundation Model for Population Dynamics in Calcium Imaging Datacited by 0
- 2026CalM: A Self-Supervised Foundation Model for Population Dynamics in Calcium Imaging Data3 Apr 2026
- 2026Behavior-dLDS: A decomposed linear dynamical systems model for neural activity partially constrained by behavior5 Mar 2026
- 2026Position: A Dynamical Systems Perspective is Needed to Advance Time Series Modeling18 Feb 2026
- 2026Continuous-Time Piecewise-Linear Recurrent Neural Networks17 Feb 2026
- 2026Learning-to-Defer in Non-Stationary Time Series via Switching State-Space Models30 Jan 2026
- 2025Coupled Transformer Autoencoder for Disentangling Multi-Region Neural Latent Dynamics22 Oct 2025
- 2025Detecting Invariant Manifolds in ReLU-Based RNNs4 Oct 2025
- 2025Conformal Prediction for Time-series Forecasting with Change Points2 Sep 2025
- 2025POCO: Scalable Neural Forecasting through Population Conditioning17 Jun 2025
- 2025Uncovering the Computational Roles of Nonlinearity in Sequence Modeling Using Almost-Linear RNNs9 Jun 2025
- 2025AXIOM: Learning to Play Games in Minutes with Expanding Object-Centric Models30 May 2025
- 2025Continuous Locomotive Crowd Behavior Generation7 Apr 2025
22 more
- 2025Inverse Reinforcement Learning with Switching Rewards and History Dependency for Characterizing Animal Behaviors22 Jan 2025
- 2024A scalable generative model for dynamical system reconstruction from neuroimaging data5 Nov 2024
- 2024Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction18 Oct 2024
- 2024Navigation under uncertainty: Trajectory prediction and occlusion reasoning with switching dynamical systems14 Oct 2024
- 2024Learning in Hybrid Active Inference Models2 Sep 2024
- 2024Probabilistic Decomposed Linear Dynamical Systems for Robust Discovery of Latent Neural Dynamics29 Aug 2024
- 2024Hybrid Recurrent Models Support Emergent Descriptions for Hierarchical Planning and Control20 Aug 2024
- 2024Long Range Switching Time Series Prediction via State Space Model27 Jul 2024
- 2024A study of animal action segmentation algorithms across supervised, unsupervised, and semi-supervised learning paradigms23 Jul 2024
- 2024LINOCS: Lookahead Inference of Networked Operators for Continuous Stability28 Apr 2024
- 2024Out-of-Domain Generalization in Dynamical Systems Reconstruction28 Feb 2024
- 2023Beyond Geometry: Comparing the Temporal Structure of Computation in Neural Circuits with Dynamical Similarity Analysis16 Jun 2023
- 2023SiBBlInGS: Similarity-driven Building-Block Inference using Graphs across States7 Jun 2023
- 2023Graph Switching Dynamical Systems1 Jun 2023
- 2023On the Identifiability of Switching Dynamical Systems25 May 2023
- 2022Learning Options via Compression8 Dec 2022
- 2022Parameter-varying neural ordinary differential equations with partition-of-unity networks1 Oct 2022
- 2022Decomposed Linear Dynamical Systems (dLDS) for learning the latent components of neural dynamics7 Jun 2022
- 2022Is a Modular Architecture Enough?6 Jun 2022
- 2021Deep Explicit Duration Switching Models for Time Series26 Oct 2021
- 2021Segmenting Hybrid Trajectories using Latent ODEs9 May 2021
- 2021Learning Reactive and Predictive Differentiable Controllers for Switching Linear Dynamical Models26 Mar 2021
- 2022Is a Modular Architecture Enough?cited by 35
- 2024Out-of-Domain Generalization in Dynamical Systems Reconstructioncited by 33
- 2022Learning Options via Compressioncited by 22
- 2023Beyond Geometry: Comparing the Temporal Structure of Computation in Neural Circuits with Dynamical Similarity Analysiscited by 21
- 2024Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstructioncited by 18
- 2021Deep Explicit Duration Switching Models for Time Seriescited by 17
- 2022Decomposed Linear Dynamical Systems (dLDS) for learning the latent components of neural dynamicscited by 16
- 2023Graph Switching Dynamical Systemscited by 10
- 2023On the Identifiability of Switching Dynamical Systemscited by 9
- 2024A scalable generative model for dynamical system reconstruction from neuroimaging datacited by 9
- 2025Continuous Locomotive Crowd Behavior Generationcited by 7
- 2024Probabilistic Decomposed Linear Dynamical Systems for Robust Discovery of Latent Neural Dynamicscited by 6
12 most cited of 33 All 33 (JSON)
- 2026CalM: A Self-Supervised Foundation Model for Population Dynamics in Calcium Imaging Data3 Apr 2026
- 2026Behavior-dLDS: A decomposed linear dynamical systems model for neural activity partially constrained by behavior5 Mar 2026
- 2026Position: A Dynamical Systems Perspective is Needed to Advance Time Series Modeling18 Feb 2026
- 2026Continuous-Time Piecewise-Linear Recurrent Neural Networks17 Feb 2026
- 2026Learning-to-Defer in Non-Stationary Time Series via Switching State-Space Models30 Jan 2026
- 2025Coupled Transformer Autoencoder for Disentangling Multi-Region Neural Latent Dynamics22 Oct 2025
- 2025Detecting Invariant Manifolds in ReLU-Based RNNs4 Oct 2025
- 2025Conformal Prediction for Time-series Forecasting with Change Points2 Sep 2025
- 2025POCO: Scalable Neural Forecasting through Population Conditioning17 Jun 2025
- 2025Uncovering the Computational Roles of Nonlinearity in Sequence Modeling Using Almost-Linear RNNs9 Jun 2025
- 2025AXIOM: Learning to Play Games in Minutes with Expanding Object-Centric Models30 May 2025
- 2025Continuous Locomotive Crowd Behavior Generation7 Apr 2025
12 newest of 33 All 33 (JSON)