ShapeStacks: Learning Vision-Based Physical Intuition for Generalised Object Stacking
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Abstract (arXiv)
Physical intuition is pivotal for intelligent agents to perform complex tasks. In this paper we investigate the passive acquisition of an intuitive understanding of physical principles as well as the active utilisation of this intuition in the context of generalised object stacking. To this end, we provide: a simulation-based dataset featuring 20,000 stack configurations composed of a variety of elementary geometric primitives richly annotated regarding semantics and structural stability. We train visual classifiers for binary stability prediction on the ShapeStacks data and scrutinise their learned physical intuition. Due to the richness of the training data our approach also generalises favourably to real-world scenarios achieving state-of-the-art stability prediction on a publicly available benchmark of block towers. We then leverage the physical intuition learned by our model to actively construct stable stacks and observe the emergence of an intuitive notion of stackability - an inherent object affordance - induced by the active stacking task. Our approach performs well even in challenging conditions where it considerably exceeds the stack height observed during training or in cases where initially unstable structures must be stabilised via counterbalancing.
Key facts. Cited by 55 papers in the map (data through 14 Oct 2026). First posted on arXiv 21 Apr 2018.
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Citing papers per year: 2021: 15; 2022: 8; 2023: 9; 2024: 10; 2025: 5; 2026: 8.
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- 2021A Survey of Embodied AI: From Simulators to Research Taskscited by 261
- 2024How Far is Video Generation from World Model: A Physical Law Perspectivecited by 212
- 2021Physion: Evaluating Physical Prediction from Vision in Humans and Machinescited by 153
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- 2021Beyond Pick-and-Place: Tackling Robotic Stacking of Diverse Shapescited by 71
- 2022Improving Object-centric Learning with Query Optimizationcited by 60
- 2023Physion++: Evaluating Physical Scene Understanding that Requires Online Inference of Different Physical Propertiescited by 54
38 more
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- 2023Neural Foundations of Mental Simulation: Future Prediction of Latent Representations on Dynamic Scenescited by 13
- 2024InterDyn: Controllable Interactive Dynamics with Video Diffusion Modelscited by 12
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- 2023Understanding Physical Dynamics with Counterfactual World Modelingcited by 11
- 2024Physics Context Builders: A Modular Framework for Physical Reasoning in Vision-Language Modelscited by 10
- 2026PhysInOne: Visual Physics Learning and Reasoning in One Suitecited by 9
- 2021PIP: Physical Interaction Prediction via Mental Simulation with Span Selectioncited by 8
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- 2026PhyCo: Learning Controllable Physical Priors for Generative Motioncited by 5
- 2024Unsupervised Object Discovery: A Comprehensive Survey and Unified Taxonomycited by 4
- 2025Motion-Refined DINOSAUR for Unsupervised Multi-Object Discoverycited by 4
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- 2022Towards Improving the Generation Quality of Autoregressive Slot VAEscited by 1
- 2022Compositional Scene Modeling with Global Object-Centric Representationscited by 1
- 2024Learning Physical Dynamics for Object-centric Visual Predictioncited by 1
- 2025Hierarchical Compact Clustering Attention (COCA) for Unsupervised Object-Centric Learningcited by 1
50 most cited of 55 All 55 (JSON)
- 2026Not Another Text Benchmark: Putting the "Visual" Back in Visual Question Answering for Large Video Models15 Sep 2026
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- 2026PhysInOne: Visual Physics Learning and Reasoning in One Suite10 Apr 2026
- 2026Overhang Tower: Resource-Rational Adaptation in Sequential Physical Planning10 Apr 2026
- 2026MUFASA: A Multi-Layer Framework for Slot Attention7 Feb 2026
- 2026WorldBench: Benchmarking Physical Understanding of World Models by Isolating Physics Concepts29 Jan 2026
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Image14 Jan 2026
- 2025Motion-Refined DINOSAUR for Unsupervised Multi-Object Discovery2 Sep 2025
- 2025From Diagnosis to Improvement: Probing Spatio-Physical Reasoning in Vision Language Models14 Aug 2025
- 2025VideoREPA: Learning Physics for Video Generation through Relational Alignment with Foundation Models29 May 2025
- 2025SPhyR: Spatial-Physical Reasoning Benchmark on Material Distribution21 May 2025
38 more
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- 2024Physics Context Builders: A Modular Framework for Physical Reasoning in Vision-Language Models11 Dec 2024
- 2024How Far is Video Generation from World Model: A Physical Law Perspective4 Nov 2024
- 2024Unsupervised Object Discovery: A Comprehensive Survey and Unified Taxonomy30 Oct 2024
- 2024RoboGolf: Mastering Real-World Minigolf with a Reflective Multi-Modality Vision-Language Model14 Jun 2024
- 2024Recasting Generic Pretrained Vision Transformers As Object-Centric Scene Encoders For Manipulation Policies24 May 2024
- 2024FORCE: Physics-aware Human-object Interaction17 Mar 2024
- 2024Learning Physical Dynamics for Object-centric Visual Prediction15 Mar 2024
- 2024A Survey on Future Frame Synthesis: Bridging Deterministic and Generative Approaches26 Jan 2024
- 2023Benchmarks for Physical Reasoning AI17 Dec 2023
- 2023Understanding Physical Dynamics with Counterfactual World Modeling11 Dec 2023
- 2023Imagine the Unseen World: A Benchmark for Systematic Generalization in Visual World Models15 Nov 2023
- 2023Object-Centric Learning with Slot Mixture Module8 Nov 2023
- 2023Physion++: Evaluating Physical Scene Understanding that Requires Online Inference of Different Physical Properties27 Jun 2023
- 2023Slot-VAE: Object-Centric Scene Generation with Slot Attention12 Jun 2023
- 2023Cycle Consistency Driven Object Discovery3 Jun 2023
- 2023Spotlight Attention: Robust Object-Centric Learning With a Spatial Locality Prior31 May 2023
- 2023Neural Foundations of Mental Simulation: Future Prediction of Latent Representations on Dynamic Scenes19 May 2023
- 2022Compositional Scene Modeling with Global Object-Centric Representations21 Nov 2022
- 2022Improving Object-centric Learning with Query Optimization17 Oct 2022
- 2022On the Learning Mechanisms in Physical Reasoning5 Oct 2022
- 2022Pretraining on Interactions for Learning Grounded Affordance Representations5 Jul 2022
- 2022Object Representations as Fixed Points: Training Iterative Refinement Algorithms with Implicit Differentiation2 Jul 2022
- 2022Towards Improving the Generation Quality of Autoregressive Slot VAEs3 Jun 2022
- 2022Unsupervised Multi-object Segmentation Using Attention and Soft-argmax26 May 2022
- 2022A Survey on Machine Learning Approaches for Modelling Intuitive Physics14 Feb 2022
- 2021Autoencoder-based background reconstruction and foreground segmentation with background noise estimation15 Dec 2021
- 2021ClevrTex: A Texture-Rich Benchmark for Unsupervised Multi-Object Segmentation19 Nov 2021
- 2021From Machine Learning to Robotics: Challenges and Opportunities for Embodied Intelligence28 Oct 2021
- 2021Illiterate DALL-E Learns to Compose17 Oct 2021
- 2021Beyond Pick-and-Place: Tackling Robotic Stacking of Diverse Shapes12 Oct 2021
- 2021PIP: Physical Interaction Prediction via Mental Simulation with Span Selection10 Sep 2021
- 2021Active Learning of Abstract Plan Feasibility1 Jul 2021
- 2021Generalization and Robustness Implications in Object-Centric Learning1 Jul 2021
- 2021Physion: Evaluating Physical Prediction from Vision in Humans and Machines15 Jun 2021
- 2021Object-centric Video Prediction without Annotation6 May 2021
50 newest of 55 All 55 (JSON)
- 2024How Far is Video Generation from World Model: A Physical Law Perspectivecited by 212
- 2026WorldBench: Benchmarking Physical Understanding of World Models by Isolating Physics Conceptscited by 12
- 2023Understanding Physical Dynamics with Counterfactual World Modelingcited by 11
- 2024A Survey on Future Frame Synthesis: Bridging Deterministic and Generative Approachescited by 7
- 2023Imagine the Unseen World: A Benchmark for Systematic Generalization in Visual World Modelscited by 6
- 2025From Diagnosis to Improvement: Probing Spatio-Physical Reasoning in Vision Language Modelscited by 3
- 2026PhysEditWorld: A Large-Scale Dataset Toward Physics-Editable World Modelscited by 2
- 2026PhysEditWorld: A Large-Scale Dataset Toward Physics-Editable World Models25 Jun 2026
- 2026WorldBench: Benchmarking Physical Understanding of World Models by Isolating Physics Concepts29 Jan 2026
- 2025From Diagnosis to Improvement: Probing Spatio-Physical Reasoning in Vision Language Models14 Aug 2025
- 2024How Far is Video Generation from World Model: A Physical Law Perspective4 Nov 2024
- 2024A Survey on Future Frame Synthesis: Bridging Deterministic and Generative Approaches26 Jan 2024
- 2023Understanding Physical Dynamics with Counterfactual World Modeling11 Dec 2023
- 2023Imagine the Unseen World: A Benchmark for Systematic Generalization in Visual World Models15 Nov 2023
- 2021A Survey of Embodied AI: From Simulators to Research Taskscited by 261
- 2021Physion: Evaluating Physical Prediction from Vision in Humans and Machinescited by 153
- 2021Illiterate DALL-E Learns to Composecited by 147
- 2021GENESIS-V2: Inferring Unordered Object Representations without Iterative Refinementcited by 109
- 2021ClevrTex: A Texture-Rich Benchmark for Unsupervised Multi-Object Segmentationcited by 93
- 2021Generalization and Robustness Implications in Object-Centric Learningcited by 81
- 2021Neural Production Systems: Learning Rule-Governed Visual Dynamicscited by 75
- 2021Beyond Pick-and-Place: Tackling Robotic Stacking of Diverse Shapescited by 71
- 2022Improving Object-centric Learning with Query Optimizationcited by 60
- 2023Physion++: Evaluating Physical Scene Understanding that Requires Online Inference of Different Physical Propertiescited by 54
- 2022Object Representations as Fixed Points: Training Iterative Refinement Algorithms with Implicit Differentiationcited by 46
- 2021AGENT: A Benchmark for Core Psychological Reasoningcited by 42
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- 2026Not Another Text Benchmark: Putting the "Visual" Back in Visual Question Answering for Large Video Models15 Sep 2026
- 2026PhysInOne: Visual Physics Learning and Reasoning in One Suite10 Apr 2026
- 2026Overhang Tower: Resource-Rational Adaptation in Sequential Physical Planning10 Apr 2026
- 2026MUFASA: A Multi-Layer Framework for Slot Attention7 Feb 2026
- 2026Image2Garment: Simulation-ready Garment Generation from a Single Image14 Jan 2026
- 2025Motion-Refined DINOSAUR for Unsupervised Multi-Object Discovery2 Sep 2025
- 2025Hierarchical Compact Clustering Attention (COCA) for Unsupervised Object-Centric Learning4 May 2025
- 2024Symbolic Disentangled Representations for Images25 Dec 2024
- 2024Unsupervised Object Discovery: A Comprehensive Survey and Unified Taxonomy30 Oct 2024
- 2024Recasting Generic Pretrained Vision Transformers As Object-Centric Scene Encoders For Manipulation Policies24 May 2024
- 2024FORCE: Physics-aware Human-object Interaction17 Mar 2024
- 2024Learning Physical Dynamics for Object-centric Visual Prediction15 Mar 2024
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