EFEM: Equivariant Neural Field Expectation Maximization for 3D Object Segmentation Without Scene Supervision
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Abstract (arXiv)
We introduce Equivariant Neural Field Expectation Maximization (EFEM), a simple, effective, and robust geometric algorithm that can segment objects in 3D scenes without annotations or training on scenes. We achieve such unsupervised segmentation by exploiting single object shape priors. We make two novel steps in that direction. First, we introduce equivariant shape representations to this problem to eliminate the complexity induced by the variation in object configuration. Second, we propose a novel EM algorithm that can iteratively refine segmentation masks using the equivariant shape prior. We collect a novel real dataset Chairs and Mugs that contains various object configurations and novel scenes in order to verify the effectiveness and robustness of our method. Experimental results demonstrate that our method achieves consistent and robust performance across different scenes where the (weakly) supervised methods may fail. Code and data available at https://www.cis.upenn.edu/~leijh/projects/efem
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). Builds on 70 of its 91 references that are in the map. First posted on arXiv 27 Mar 2023.
Builds on
70 of 91 references.
References · 70
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- 2020Convolutional Occupancy Networkscited by 760
- 2018Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point cloudscited by 735
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- 2020SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networkscited by 602
- 2020SAPIEN: A SimulAted Part-based Interactive ENvironmentcited by 584
- 2021Neural Fields in Visual Computing and Beyondcited by 539
- 2020PointContrast: Unsupervised Pre-training for 3D Point Cloud Understandingcited by 502
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- 2020Local Implicit Grid Representations for 3D Scenescited by 372
- 2020Implicit Functions in Feature Space for 3D Shape Reconstruction and Completioncited by 343
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- 2022SoftGroup for 3D Instance Segmentation on Point Cloudscited by 197
- 2020OccuSeg: Occupancy-aware 3D Instance Segmentationcited by 177
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- 20223D Instances as 1D Kernelscited by 36
50 most cited of 70 All 70 (JSON)
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Citing papers per year: 2023: 7; 2024: 5; 2025: 4; 2026: 2.
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- 2024EquiBot: SIM(3)-Equivariant Diffusion Policy for Generalizable and Data Efficient Learningcited by 72
- 2023Diffusion-EDFs: Bi-equivariant Denoising Generative Modeling on SE(3) for Visual Robotic Manipulationcited by 51
- 2023EquivAct: SIM(3)-Equivariant Visuomotor Policies beyond Rigid Object Manipulationcited by 37
- 2023Banana: Banach Fixed-Point Network for Pointcloud Segmentation with Inter-Part Equivariancecited by 19
- 2023ZeroPS: High-quality Cross-modal Knowledge Transfer for Zero-Shot 3D Part Segmentationcited by 18
- 2023U3DS3: Unsupervised 3D Semantic Scene Segmentationcited by 16
- 2025A Survey of Robotic Navigation and Manipulation with Physics Simulators in the Era of Embodied AIcited by 16
- 2023Living Scenes: Multi-object Relocalization and Reconstruction in Changing 3D Environmentscited by 15
- 2024RiEMann: Near Real-Time SE(3)-Equivariant Robot Manipulation without Point Cloud Segmentationcited by 12
- 2023Multi-body SE(3) Equivariance for Unsupervised Rigid Segmentation and Motion Estimationcited by 7
- 2025GAGrasp: Geometric Algebra Diffusion for Dexterous Graspingcited by 7
- 2024EqvAfford: SE(3) Equivariance for Point-Level Affordance Learningcited by 6
6 more
- 2025GrabS: Generative Embodied Agent for 3D Object Segmentation without Scene Supervisioncited by 3
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learningcited by 2
- 2025Learning Generalizable Shape Completion with SIM(3) Equivariancecited by 2
- 2024Bayesian Self-Training for Semi-Supervised 3D Segmentationcited by 1
- 2026EvObj: Learning Evolving Object-centric Representations for 3D Instance Segmentation without Scene Supervisioncited by 1
- 2026FoundObj: Self-supervised Foundation Models as Rewards for Label-free 3D Object Segmentationcited by 0
- 2026FoundObj: Self-supervised Foundation Models as Rewards for Label-free 3D Object Segmentation26 May 2026
- 2026EvObj: Learning Evolving Object-centric Representations for 3D Instance Segmentation without Scene Supervision13 May 2026
- 2025Learning Generalizable Shape Completion with SIM(3) Equivariance30 Sep 2025
- 2025A Survey of Robotic Navigation and Manipulation with Physics Simulators in the Era of Embodied AI1 May 2025
- 2025GrabS: Generative Embodied Agent for 3D Object Segmentation without Scene Supervision16 Apr 2025
- 2025GAGrasp: Geometric Algebra Diffusion for Dexterous Grasping6 Mar 2025
- 2024Bayesian Self-Training for Semi-Supervised 3D Segmentation12 Sep 2024
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning11 Sep 2024
- 2024EqvAfford: SE(3) Equivariance for Point-Level Affordance Learning4 Aug 2024
- 2024EquiBot: SIM(3)-Equivariant Diffusion Policy for Generalizable and Data Efficient Learning1 Jul 2024
- 2024RiEMann: Near Real-Time SE(3)-Equivariant Robot Manipulation without Point Cloud Segmentation28 Mar 2024
- 2023Living Scenes: Multi-object Relocalization and Reconstruction in Changing 3D Environments14 Dec 2023
6 more
- 2023ZeroPS: High-quality Cross-modal Knowledge Transfer for Zero-Shot 3D Part Segmentation24 Nov 2023
- 2023U3DS3: Unsupervised 3D Semantic Scene Segmentation10 Nov 2023
- 2023EquivAct: SIM(3)-Equivariant Visuomotor Policies beyond Rigid Object Manipulation24 Oct 2023
- 2023Diffusion-EDFs: Bi-equivariant Denoising Generative Modeling on SE(3) for Visual Robotic Manipulation6 Sep 2023
- 2023Multi-body SE(3) Equivariance for Unsupervised Rigid Segmentation and Motion Estimation8 Jun 2023
- 2023Banana: Banach Fixed-Point Network for Pointcloud Segmentation with Inter-Part Equivariance25 May 2023
- 2023EquivAct: SIM(3)-Equivariant Visuomotor Policies beyond Rigid Object Manipulationcited by 37
- 2023Banana: Banach Fixed-Point Network for Pointcloud Segmentation with Inter-Part Equivariancecited by 19
- 2023ZeroPS: High-quality Cross-modal Knowledge Transfer for Zero-Shot 3D Part Segmentationcited by 18
- 2023U3DS3: Unsupervised 3D Semantic Scene Segmentationcited by 16
- 2025A Survey of Robotic Navigation and Manipulation with Physics Simulators in the Era of Embodied AIcited by 16
- 2023Living Scenes: Multi-object Relocalization and Reconstruction in Changing 3D Environmentscited by 15
- 2023Multi-body SE(3) Equivariance for Unsupervised Rigid Segmentation and Motion Estimationcited by 7
- 2025GAGrasp: Geometric Algebra Diffusion for Dexterous Graspingcited by 7
- 2024EqvAfford: SE(3) Equivariance for Point-Level Affordance Learningcited by 6
- 2025GrabS: Generative Embodied Agent for 3D Object Segmentation without Scene Supervisioncited by 3
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learningcited by 2
- 2025Learning Generalizable Shape Completion with SIM(3) Equivariancecited by 2
12 most cited of 15 All 15 (JSON)
- 2026FoundObj: Self-supervised Foundation Models as Rewards for Label-free 3D Object Segmentation26 May 2026
- 2026EvObj: Learning Evolving Object-centric Representations for 3D Instance Segmentation without Scene Supervision13 May 2026
- 2025Learning Generalizable Shape Completion with SIM(3) Equivariance30 Sep 2025
- 2025A Survey of Robotic Navigation and Manipulation with Physics Simulators in the Era of Embodied AI1 May 2025
- 2025GrabS: Generative Embodied Agent for 3D Object Segmentation without Scene Supervision16 Apr 2025
- 2025GAGrasp: Geometric Algebra Diffusion for Dexterous Grasping6 Mar 2025
- 2024Bayesian Self-Training for Semi-Supervised 3D Segmentation12 Sep 2024
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning11 Sep 2024
- 2024EqvAfford: SE(3) Equivariance for Point-Level Affordance Learning4 Aug 2024
- 2023Living Scenes: Multi-object Relocalization and Reconstruction in Changing 3D Environments14 Dec 2023
- 2023ZeroPS: High-quality Cross-modal Knowledge Transfer for Zero-Shot 3D Part Segmentation24 Nov 2023
- 2023U3DS3: Unsupervised 3D Semantic Scene Segmentation10 Nov 2023
12 newest of 15 All 15 (JSON)