A Compositional Object-Based Approach to Learning Physical Dynamics
Not on the map. Why?
Abstract (arXiv)
We present the Neural Physics Engine (NPE), a framework for learning simulators of intuitive physics that naturally generalize across variable object count and different scene configurations. We propose a factorization of a physical scene into composable object-based representations and a neural network architecture whose compositional structure factorizes object dynamics into pairwise interactions. Like a symbolic physics engine, the NPE is endowed with generic notions of objects and their interactions; realized as a neural network, it can be trained via stochastic gradient descent to adapt to specific object properties and dynamics of different worlds. We evaluate the efficacy of our approach on simple rigid body dynamics in two-dimensional worlds. By comparing to less structured architectures, we show that the NPE's compositional representation of the structure in physical interactions improves its ability to predict movement, generalize across variable object count and different scene configurations, and infer latent properties of objects such as mass.
Key facts. Cited by 119 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Dec 2016.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 32; 2022: 25; 2023: 23; 2024: 19; 2025: 8; 2026: 12.
119 papers.
Sort:
By area:
- 2023VoxPoser: Composable 3D Value Maps for Robotic Manipulation with Language Modelscited by 733
- 2024ReKep: Spatio-Temporal Reasoning of Relational Keypoint Constraints for Robotic Manipulationcited by 305
- 2021Towards Causal Representation Learningcited by 207
- 2025Do generative video models understand physical principles?cited by 151
- 2022SlotFormer: Unsupervised Visual Dynamics Simulation with Object-Centric Modelscited by 146
- 2021Physion: Evaluating Physical Prediction from Vision in Humans and Machinescited by 145
- 2021gradSim: Differentiable simulation for system identification and visuomotor controlcited by 100
- 2021PlasticineLab: A Soft-Body Manipulation Benchmark with Differentiable Physicscited by 100
- 2021A Survey on Interpretable Reinforcement Learningcited by 70
- 2021Grounding Physical Concepts of Objects and Events Through Dynamic Visual Reasoningcited by 68
- 2022When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learningcited by 64
- 2022Learning Multi-Object Dynamics with Compositional Neural Radiance Fieldscited by 63
38 more
- 2022ComPhy: Compositional Physical Reasoning of Objects and Events from Videoscited by 61
- 2021Dynamic Visual Reasoning by Learning Differentiable Physics Models from Video and Languagecited by 55
- 2021An End-to-End Differentiable Framework for Contact-Aware Robot Designcited by 53
- 2021Fast and Feature-Complete Differentiable Physics for Articulated Rigid Bodies with Contactcited by 50
- 2022Visual Reinforcement Learning with Self-Supervised 3D Representationscited by 45
- 2022DiffSkill: Skill Abstraction from Differentiable Physics for Deformable Object Manipulations with Toolscited by 44
- 2021Learning Neuro-Symbolic Relational Transition Models for Bilevel Planningcited by 43
- 2021Human-Level Reinforcement Learning through Theory-Based Modeling, Exploration, and Planningcited by 43
- 2021Spatio-Temporal Dynamic Inference Network for Group Activity Recognitioncited by 42
- 2021Simulating Continuum Mechanics with Multi-Scale Graph Neural Networkscited by 39
- 2021Efficient Differentiable Simulation of Articulated Bodiescited by 38
- 2025MoManipVLA: Transferring Vision-language-action Models for General Mobile Manipulationcited by 34
- 2021Extending Lagrangian and Hamiltonian Neural Networks with Differentiable Contact Modelscited by 33
- 2021Constructing Neural Network-Based Models for Simulating Dynamical Systemscited by 29
- 2021Conditional Neural Relational Inference for Interacting Systemscited by 28
- 2021Noether Networks: Meta-Learning Useful Conserved Quantitiescited by 26
- 2023Generalizing Graph ODE for Learning Complex System Dynamics across Environmentscited by 23
- 2023Dynamic-Resolution Model Learning for Object Pile Manipulationcited by 22
- 2024Understanding Video Transformers via Universal Concept Discoverycited by 22
- 2022Learning What and Where: Disentangling Location and Identity Tracking Without Supervisioncited by 21
- 2023Deep Learning in Deterministic Computational Mechanicscited by 21
- 2024PhysGame: Uncovering Physical Commonsense Violations in Gameplay Videoscited by 21
- 2022A Survey on Machine Learning Approaches for Modelling Intuitive Physicscited by 20
- 2022Learning Efficient Abstract Planning Models that Choose What to Predictcited by 17
- 2023Learning Vortex Dynamics for Fluid Inference and Predictioncited by 17
- 2021SAGCI-System: Towards Sample-Efficient, Generalizable, Compositional, and Incremental Robot Learningcited by 16
- 2023Neural Relational Inference with Fast Modular Meta-learningcited by 16
- 2021RICE: Refining Instance Masks in Cluttered Environments with Graph Neural Networkscited by 15
- 2021Pushing it out of the Way: Interactive Visual Navigationcited by 14
- 2021Reasoning-Modulated Representationscited by 13
- 20233D-IntPhys: Towards More Generalized 3D-grounded Visual Intuitive Physics under Challenging Scenescited by 12
- 2021Active Learning of Abstract Plan Feasibilitycited by 11
- 2022Towards Fast Simulation of Environmental Fluid Mechanics with Multi-Scale Graph Neural Networkscited by 11
- 2024Compositional Physical Reasoning of Objects and Events from Videoscited by 11
- 2022Knowledge-augmented Deep Learning and Its Applications: A Surveycited by 10
- 2024ElastoGen: 4D Generative Elastodynamicscited by 10
- 2021Neural Graph Matching based Collaborative Filteringcited by 9
- 2022Motif-based Graph Representation Learning with Application to Chemical Moleculescited by 9
50 most cited of 119 All 119 (JSON)
- 2026RiCo: Neural Simulation of Rigid-Body Interactions via Local Contact Reasoning8 Oct 2026
- 2026PhysRAG: Enhancing Physics-Awareness in Video Generation via Retrieval-Augmented Generation25 Jun 2026
- 2026Physically Viable World Models: A Case for Query-Conditioned Embodied AI28 May 2026
- 2026NeuROK: Generative 4D Neural Object Kinematics28 May 2026
- 2026WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer14 May 2026
- 2026RigidFormer: Learning Rigid Dynamics using Transformers9 May 2026
- 2026Ensemble Distributionally Robust Bayesian Optimisation with Continuous Context8 May 2026
- 2026Disentangling Dynamical Systems: Causal Representation Learning Meets Local Sparse Attention15 Mar 2026
- 2026Neural Fields as World Models21 Feb 2026
- 2026Object-Oriented Transition Modeling with Inductive Logic Programming7 Feb 2026
- 2026Order from Chaos: Physical World Understanding from Glitchy Gameplay Videos23 Jan 2026
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Image14 Jan 2026
38 more
- 2025Aligning Perception, Reasoning, Modeling and Interaction: A Survey on Physical AI6 Oct 2025
- 2025M4GN: Mesh-based Multi-segment Hierarchical Graph Network for Dynamic Simulations12 Sep 2025
- 2025SlotPi: Physics-informed Object-centric Reasoning Models12 Jun 2025
- 2025Rapid training of Hamiltonian graph networks using random features6 Jun 2025
- 2025Learning Coordinated Bimanual Manipulation Policies using State Diffusion and Inverse Dynamics Models30 Mar 2025
- 2025Cognitive Science-Inspired Evaluation of Core Capabilities for Object Understanding in AI27 Mar 2025
- 2025MoManipVLA: Transferring Vision-language-action Models for General Mobile Manipulation17 Mar 2025
- 2025Do generative video models understand physical principles?14 Jan 2025
- 2024PhysGame: Uncovering Physical Commonsense Violations in Gameplay Videos2 Dec 2024
- 2024Training Hamiltonian neural networks without backpropagation26 Nov 2024
- 2024Interpretable Representation Learning from Videos using Nonlinear Priors24 Oct 2024
- 2024Machine Learning Aided Modeling of Granular Materials: A Review18 Oct 2024
- 2024ReKep: Spatio-Temporal Reasoning of Relational Keypoint Constraints for Robotic Manipulation3 Sep 2024
- 2024Look, Learn and Leverage (L3): Mitigating Visual-Domain Shift and Discovering Intrinsic Relations via Symbolic Alignment30 Aug 2024
- 2024An Investigation on The Position Encoding in Vision-Based Dynamics Prediction27 Aug 2024
- 2024Compositional Physical Reasoning of Objects and Events from Videos2 Aug 2024
- 2024Global Optimisation of Black-Box Functions with Generative Models in the Wasserstein Space16 Jul 2024
- 2024Learning Disentangled Representation in Object-Centric Models for Visual Dynamics Prediction via Transformers3 Jul 2024
- 2024RoboGolf: Mastering Real-World Minigolf with a Reflective Multi-Modality Vision-Language Model14 Jun 2024
- 2024ElastoGen: 4D Generative Elastodynamics23 May 2024
- 2024Meta-Control: Automatic Model-based Control Synthesis for Heterogeneous Robot Skills18 May 2024
- 2024Reasoning-Enhanced Object-Centric Learning for Videos22 Mar 2024
- 2024Navigating Hallucinations for Reasoning of Unintentional Activities29 Feb 2024
- 2024Physics-Encoded Graph Neural Networks for Deformation Prediction under Contact5 Feb 2024
- 2024Exploring the Truth and Beauty of Theory Landscapes with Machine Learning21 Jan 2024
- 2024Understanding Video Transformers via Universal Concept Discovery19 Jan 2024
- 2024Slot Structured World Models8 Jan 2024
- 2023Seeking Truth and Beauty in Flavor Physics with Machine Learning31 Oct 2023
- 20236-DoF Stability Field via Diffusion Models26 Oct 2023
- 2023Neural Relational Inference with Fast Modular Meta-learning10 Oct 2023
- 2023Machine learning the interaction network in coupled dynamical systems5 Oct 2023
- 2023Deep Learning in Deterministic Computational Mechanics27 Sep 2023
- 2023Multi-Object Graph Affordance Network: Goal-Oriented Planning through Learned Compound Object Affordances19 Sep 2023
- 2023X-VoE: Measuring eXplanatory Violation of Expectation in Physical Events21 Aug 2023
- 2023Zero Grads: Learning Local Surrogate Losses for Non-Differentiable Graphics10 Aug 2023
- 2023VoxPoser: Composable 3D Value Maps for Robotic Manipulation with Language Models12 Jul 2023
- 2023Generalizing Graph ODE for Learning Complex System Dynamics across Environments10 Jul 2023
- 2023Dynamic-Resolution Model Learning for Object Pile Manipulation29 Jun 2023
50 newest of 119 All 119 (JSON)
- 2024Slot Structured World Modelscited by 5
- 2025Aligning Perception, Reasoning, Modeling and Interaction: A Survey on Physical AIcited by 3
- 2026Physically Viable World Models: A Case for Query-Conditioned Embodied AIcited by 2
- 2025Cognitive Science-Inspired Evaluation of Core Capabilities for Object Understanding in AIcited by 1
- 2023Developmental Curiosity and Social Interaction in Virtual Agentscited by 0
- 2026Neural Fields as World Modelscited by 0
- 2026Physically Viable World Models: A Case for Query-Conditioned Embodied AI28 May 2026
- 2026Neural Fields as World Models21 Feb 2026
- 2025Aligning Perception, Reasoning, Modeling and Interaction: A Survey on Physical AI6 Oct 2025
- 2025Cognitive Science-Inspired Evaluation of Core Capabilities for Object Understanding in AI27 Mar 2025
- 2024Slot Structured World Models8 Jan 2024
- 2023Developmental Curiosity and Social Interaction in Virtual Agents22 May 2023
- 20236-DoF Stability Field via Diffusion Modelscited by 2
- 20236-DoF Stability Field via Diffusion Models26 Oct 2023
- 2023VoxPoser: Composable 3D Value Maps for Robotic Manipulation with Language Modelscited by 733
- 2021Towards Causal Representation Learningcited by 207
- 2025Do generative video models understand physical principles?cited by 151
- 2022SlotFormer: Unsupervised Visual Dynamics Simulation with Object-Centric Modelscited by 146
- 2021Physion: Evaluating Physical Prediction from Vision in Humans and Machinescited by 145
- 2021gradSim: Differentiable simulation for system identification and visuomotor controlcited by 100
- 2021PlasticineLab: A Soft-Body Manipulation Benchmark with Differentiable Physicscited by 100
- 2021A Survey on Interpretable Reinforcement Learningcited by 70
- 2021Grounding Physical Concepts of Objects and Events Through Dynamic Visual Reasoningcited by 68
- 2022When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learningcited by 64
- 2022Learning Multi-Object Dynamics with Compositional Neural Radiance Fieldscited by 63
- 2022ComPhy: Compositional Physical Reasoning of Objects and Events from Videoscited by 61
12 most cited of 106 All 106 (JSON)
- 2026RiCo: Neural Simulation of Rigid-Body Interactions via Local Contact Reasoning8 Oct 2026
- 2026NeuROK: Generative 4D Neural Object Kinematics28 May 2026
- 2026WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer14 May 2026
- 2026RigidFormer: Learning Rigid Dynamics using Transformers9 May 2026
- 2026Ensemble Distributionally Robust Bayesian Optimisation with Continuous Context8 May 2026
- 2026Disentangling Dynamical Systems: Causal Representation Learning Meets Local Sparse Attention15 Mar 2026
- 2026Object-Oriented Transition Modeling with Inductive Logic Programming7 Feb 2026
- 2026Order from Chaos: Physical World Understanding from Glitchy Gameplay Videos23 Jan 2026
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Image14 Jan 2026
- 2025M4GN: Mesh-based Multi-segment Hierarchical Graph Network for Dynamic Simulations12 Sep 2025
- 2025Rapid training of Hamiltonian graph networks using random features6 Jun 2025
- 2025Learning Coordinated Bimanual Manipulation Policies using State Diffusion and Inverse Dynamics Models30 Mar 2025
12 newest of 106 All 106 (JSON)