Learning Physics From Video: Unsupervised Physical Parameter Estimation for Continuous Dynamical Systems
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Abstract (arXiv)
Extracting physical dynamical system parameters from recorded observations is key in natural science. Current methods for automatic parameter estimation from video train supervised deep networks on large datasets. Such datasets require labels, which are difficult to acquire. While some unsupervised techniques--which depend on frame prediction--exist, they suffer from long training times, initialization instabilities, only consider motion-based dynamical systems, and are evaluated mainly on synthetic data. In this work, we propose an unsupervised method to estimate the physical parameters of known, continuous governing equations from single videos suitable for different dynamical systems beyond motion and robust to initialization. Moreover, we remove the need for frame prediction by implementing a KL-divergence-based loss function in the latent space, which avoids convergence to trivial solutions and reduces model size and compute. We first evaluate our model on synthetic data, as commonly done. After which, we take the field closer to reality by recording Delfys75: our own real-world dataset of 75 videos for five different types of dynamical systems to evaluate our method and others. Our method compares favorably to others. %, yet, and real-world video datasets and demonstrate improved parameter estimation accuracy compared to existing methods. Code and data are available online:https://github.com/Alejandro-neuro/Learning_physics_from_video.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 29 of its 54 references that are in the map. First posted on arXiv 2 Oct 2024.
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29 of 54 references.
References · 29
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Citing papers per year: 2025: 3; 2026: 10.
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- 2025NewtonGen: Physics-Consistent and Controllable Text-to-Video Generation via Neural Newtonian Dynamicscited by 40
- 2026PhysInOne: Visual Physics Learning and Reasoning in One Suitecited by 9
- 2025Inferring Dynamic Physical Properties from Video Foundation Modelscited by 5
- 2025SeeU: Seeing the Unseen World via 4D Dynamics-aware Generationcited by 3
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Imagecited by 3
- 2026IRIS: A Real-World Benchmark for Inverse Recovery and Identification of Physical Dynamic Systems from Monocular Videocited by 3
- 2026DreamSAC: Learning Hamiltonian World Models via Symmetry Explorationcited by 1
- 2026Deltaynamics: Language-Based Representation for Inferring Rigid-Body Dynamics From Videoscited by 1
- 2026Physics from Video: Identifiability of Time-Invariant Second-Order ODEs under Minimal Trajectory Conditionscited by 1
- 2026Rare-Aware Autoencoding: Reconstructing Spatially Imbalanced Datacited by 0
- 2026EMMA: Extracting Multiple physical parameters from Multimodal Datacited by 0
- 2026LaGSplat: Inferring Physics-Governed Interactive Simulation from Monocular Video Using Latent Lagrangian Gaussian Splattingcited by 0
1 more
- 2026Principia: Relational Physics Tests for Video Modelscited by 0
- 2026Principia: Relational Physics Tests for Video Models3 Sep 2026
- 2026LaGSplat: Inferring Physics-Governed Interactive Simulation from Monocular Video Using Latent Lagrangian Gaussian Splatting17 Aug 2026
- 2026Physics from Video: Identifiability of Time-Invariant Second-Order ODEs under Minimal Trajectory Conditions27 May 2026
- 2026EMMA: Extracting Multiple physical parameters from Multimodal Data21 May 2026
- 2026Deltaynamics: Language-Based Representation for Inferring Rigid-Body Dynamics From Videos20 May 2026
- 2026PhysInOne: Visual Physics Learning and Reasoning in One Suite10 Apr 2026
- 2026Rare-Aware Autoencoding: Reconstructing Spatially Imbalanced Data2 Apr 2026
- 2026IRIS: A Real-World Benchmark for Inverse Recovery and Identification of Physical Dynamic Systems from Monocular Video17 Mar 2026
- 2026DreamSAC: Learning Hamiltonian World Models via Symmetry Exploration8 Mar 2026
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Image14 Jan 2026
- 2025SeeU: Seeing the Unseen World via 4D Dynamics-aware Generation3 Dec 2025
- 2025Inferring Dynamic Physical Properties from Video Foundation Models2 Oct 2025
- 2025NewtonGen: Physics-Consistent and Controllable Text-to-Video Generation via Neural Newtonian Dynamicscited by 40
- 2026PhysInOne: Visual Physics Learning and Reasoning in One Suitecited by 9
- 2025Inferring Dynamic Physical Properties from Video Foundation Modelscited by 5
- 2025SeeU: Seeing the Unseen World via 4D Dynamics-aware Generationcited by 3
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Imagecited by 3
- 2026IRIS: A Real-World Benchmark for Inverse Recovery and Identification of Physical Dynamic Systems from Monocular Videocited by 3
- 2026Deltaynamics: Language-Based Representation for Inferring Rigid-Body Dynamics From Videoscited by 1
- 2026Rare-Aware Autoencoding: Reconstructing Spatially Imbalanced Datacited by 0
- 2026EMMA: Extracting Multiple physical parameters from Multimodal Datacited by 0
- 2026LaGSplat: Inferring Physics-Governed Interactive Simulation from Monocular Video Using Latent Lagrangian Gaussian Splattingcited by 0
- 2026Principia: Relational Physics Tests for Video Modelscited by 0
- 2026Principia: Relational Physics Tests for Video Models3 Sep 2026
- 2026LaGSplat: Inferring Physics-Governed Interactive Simulation from Monocular Video Using Latent Lagrangian Gaussian Splatting17 Aug 2026
- 2026EMMA: Extracting Multiple physical parameters from Multimodal Data21 May 2026
- 2026Deltaynamics: Language-Based Representation for Inferring Rigid-Body Dynamics From Videos20 May 2026
- 2026PhysInOne: Visual Physics Learning and Reasoning in One Suite10 Apr 2026
- 2026Rare-Aware Autoencoding: Reconstructing Spatially Imbalanced Data2 Apr 2026
- 2026IRIS: A Real-World Benchmark for Inverse Recovery and Identification of Physical Dynamic Systems from Monocular Video17 Mar 2026
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Image14 Jan 2026
- 2025SeeU: Seeing the Unseen World via 4D Dynamics-aware Generation3 Dec 2025
- 2025Inferring Dynamic Physical Properties from Video Foundation Models2 Oct 2025
- 2025NewtonGen: Physics-Consistent and Controllable Text-to-Video Generation via Neural Newtonian Dynamics25 Sep 2025