Neural Expectation Maximization
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Abstract (arXiv)
Many real world tasks such as reasoning and physical interaction require identification and manipulation of conceptual entities. A first step towards solving these tasks is the automated discovery of distributed symbol-like representations. In this paper, we explicitly formalize this problem as inference in a spatial mixture model where each component is parametrized by a neural network. Based on the Expectation Maximization framework we then derive a differentiable clustering method that simultaneously learns how to group and represent individual entities. We evaluate our method on the (sequential) perceptual grouping task and find that it is able to accurately recover the constituent objects. We demonstrate that the learned representations are useful for next-step prediction.
Key facts. Cited by 123 papers in the map (data through 7 Oct 2026). First posted on arXiv 11 Aug 2017.
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Citing papers per year: 2021: 36; 2022: 28; 2023: 30; 2024: 17; 2025: 6; 2026: 6.
123 papers.
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- 2021Conditional Object-Centric Learning from Videocited by 247
- 2022SAVi++: Towards End-to-End Object-Centric Learning from Real-World Videoscited by 165
- 2021Illiterate DALL-E Learns to Composecited by 147
- 2022Simple Unsupervised Object-Centric Learning for Complex and Naturalistic Videoscited by 139
- 2021Generative Adversarial Transformerscited by 120
- 2021GENESIS-V2: Inferring Unordered Object Representations without Iterative Refinementcited by 109
- 2021Unsupervised Discovery of Object Radiance Fieldscited by 100
- 2021ClevrTex: A Texture-Rich Benchmark for Unsupervised Multi-Object Segmentationcited by 93
- 2023Object-Centric Slot Diffusioncited by 90
- 2021Decomposing 3D Scenes into Objects via Unsupervised Volume Segmentationcited by 88
- 2023SlotDiffusion: Object-Centric Generative Modeling with Diffusion Modelscited by 85
- 2021Generalization and Robustness Implications in Object-Centric Learningcited by 81
38 more
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- 2021Is Attention Better Than Matrix Decomposition?cited by 75
- 2021Unsupervised Learning of Compositional Energy Conceptscited by 71
- 2021MG-GAN: A Multi-Generator Model Preventing Out-of-Distribution Samples in Pedestrian Trajectory Predictioncited by 61
- 2022Improving Object-centric Learning with Query Optimizationcited by 60
- 2023Additive Decoders for Latent Variables Identification and Cartesian-Product Extrapolationcited by 56
- 2023Invariant Slot Attention: Object Discovery with Slot-Centric Reference Framescited by 51
- 2021Unsupervised Layered Image Decomposition into Object Prototypescited by 50
- 2023Self-supervised Object-Centric Learning for Videoscited by 49
- 2022Object Representations as Fixed Points: Training Iterative Refinement Algorithms with Implicit Differentiationcited by 46
- 2023Provably Learning Object-Centric Representationscited by 45
- 2022Complex-Valued Autoencoders for Object Discoverycited by 40
- 2021Learning Object-Centric Representations of Multi-Object Scenes from Multiple Viewscited by 37
- 2022Neural Systematic Bindercited by 37
- 2021Efficient Iterative Amortized Inference for Learning Symmetric and Disentangled Multi-Object Representationscited by 36
- 2021Single Image Depth Estimation: An Overviewcited by 35
- 2022PartAfford: Part-level Affordance Discovery from 3D Objectscited by 35
- 2022EM-driven unsupervised learning for efficient motion segmentationcited by 33
- 2022VAEL: Bridging Variational Autoencoders and Probabilistic Logic Programmingcited by 31
- 2021Unsupervised Object Learning via Common Fatecited by 29
- 2023Rotating Features for Object Discoverycited by 29
- 2022Unsupervised Discovery and Composition of Object Light Fieldscited by 28
- 2022Compositional Scene Representation Learning via Reconstruction: A Surveycited by 27
- 2021Unsupervised Foreground Extraction via Deep Region Competitioncited by 26
- 2021Generative Video Transformer: Can Objects be the Words?cited by 24
- 2022Modularity-Aware Graph Autoencoders for Joint Community Detection and Link Predictioncited by 22
- 2023Causal Triplet: An Open Challenge for Intervention-centric Causal Representation Learningcited by 22
- 2023Towards Unsupervised Object Detection From LiDAR Point Cloudscited by 22
- 2021Structured World Belief for Reinforcement Learning in POMDPcited by 21
- 2023Slot-VAE: Object-Centric Scene Generation with Slot Attentioncited by 20
- 2022Neural Groundplans: Persistent Neural Scene Representations from a Single Imagecited by 17
- 2023Shepherding Slots to Objects: Towards Stable and Robust Object-Centric Learningcited by 17
- 2024Slot State Space Modelscited by 17
- 2021Self-supervised Reinforcement Learning with Independently Controllable Subgoalscited by 16
- 2022Promising or Elusive? Unsupervised Object Segmentation from Real-world Single Imagescited by 16
- 2023Contrastive Training of Complex-Valued Autoencoders for Object Discoverycited by 16
- 2023Object-Centric Multiple Object Trackingcited by 15
- 2022Unsupervised Learning of Temporal Abstractions with Slot-based Transformerscited by 14
50 most cited of 123 All 123 (JSON)
- 2026Dynamic Distribution-Aware Uncertainty Tracking in Vision-Language Representation Learning10 Aug 2026
- 2026Cohort Organized Learning: Clustering Through Agreement19 Jun 2026
- 2026Deep Sprite-based Image Models: An Analysis21 Apr 2026
- 2026Joint Representation Learning and Clustering via Gradient-Based Manifold Optimization15 Apr 2026
- 2026Bodhi VLM: Privacy-Alignment Modeling for Hierarchical Visual Representations in Vision Backbones and VLM Encoders via Bottom-Up and Top-Down Feature Search14 Mar 2026
- 2026ORGAN: Object-Centric Representation Learning using Cycle Consistent Generative Adversarial Networks2 Mar 2026
- 2025Gradient Descent as Implicit EM in Distance-Based Neural Models31 Dec 2025
- 2025Learning Object-Centric Representations in SAR Images with Multi-Level Feature Fusion11 Sep 2025
- 2025SlotMatch: Distilling Object-Centric Representations for Unsupervised Video Segmentation5 Aug 2025
- 2025CoLa: Chinese Character Decomposition with Compositional Latent Components4 Jun 2025
- 2025unMORE: Unsupervised Multi-Object Segmentation via Center-Boundary Reasoning2 Jun 2025
- 2025Dreamweaver: Learning Compositional World Models from Pixels24 Jan 2025
38 more
- 2024Efficient Object-centric Representation Learning with Pre-trained Geometric Prior16 Dec 2024
- 2024Improving Viewpoint-Independent Object-Centric Representations through Active Viewpoint Selection1 Nov 2024
- 2024Unsupervised Object Discovery: A Comprehensive Survey and Unified Taxonomy30 Oct 2024
- 2024FACTS: A Factored State-Space Framework For World Modelling28 Oct 2024
- 2024Language Agents Meet Causality -- Bridging LLMs and Causal World Models25 Oct 2024
- 2024Interpretable end-to-end Neurosymbolic Reinforcement Learning agents18 Oct 2024
- 2024SlotLifter: Slot-guided Feature Lifting for Learning Object-centric Radiance Fields13 Aug 2024
- 2024Exploring the Effectiveness of Object-Centric Representations in Visual Question Answering: Comparative Insights with Foundation Models22 Jul 2024
- 2024Attention Normalization Impacts Cardinality Generalization in Slot Attention4 Jul 2024
- 2024Slot State Space Models18 Jun 2024
- 2024Recurrent Complex-Weighted Autoencoders for Unsupervised Object Discovery27 May 2024
- 2024Parallelized Spatiotemporal Binding26 Feb 2024
- 2024Unsupervised Discovery of Object-Centric Neural Fields12 Feb 2024
- 2024Binding Dynamics in Rotating Features8 Feb 2024
- 2024Neural Language of Thought Models2 Feb 2024
- 2024Explicitly Disentangled Representations in Object-Centric Learning18 Jan 2024
- 2024Unsupervised Object-Centric Learning from Multiple Unspecified Viewpoints3 Jan 2024
- 2023Benchmarking and Analysis of Unsupervised Object Segmentation from Real-world Single Images8 Dec 2023
- 2023Unsupervised Musical Object Discovery from Audio13 Nov 2023
- 2023Object-Centric Learning with Slot Mixture Module8 Nov 2023
- 2023Towards Unsupervised Object Detection From LiDAR Point Clouds3 Nov 2023
- 2023OC-NMN: Object-centric Compositional Neural Module Network for Generative Visual Analogical Reasoning28 Oct 2023
- 2023Self-supervised Object-Centric Learning for Videos10 Oct 2023
- 2023Variational Inference for Scalable 3D Object-centric Learning25 Sep 2023
- 2023Object-Centric Multiple Object Tracking1 Sep 2023
- 2023Additive Decoders for Latent Variables Identification and Cartesian-Product Extrapolation5 Jul 2023
- 2023OCTScenes: A Versatile Real-World Dataset of Tabletop Scenes for Object-Centric Learning16 Jun 2023
- 2023Deep Gaussian Mixture Ensembles12 Jun 2023
- 2023Slot-VAE: Object-Centric Scene Generation with Slot Attention12 Jun 2023
- 2023Object-Centric Learning for Real-World Videos by Predicting Temporal Feature Similarities7 Jun 2023
- 2023Cycle Consistency Driven Object Discovery3 Jun 2023
- 2023Rotating Features for Object Discovery1 Jun 2023
- 2023Spotlight Attention: Robust Object-Centric Learning With a Spatial Locality Prior31 May 2023
- 2023Kernel Density Matrices for Probabilistic Deep Learning26 May 2023
- 2023Revisiting Structured Variational Autoencoders25 May 2023
- 2023Contrastive Training of Complex-Valued Autoencoders for Object Discovery24 May 2023
- 2023Provably Learning Object-Centric Representations23 May 2023
- 2023SlotDiffusion: Object-Centric Generative Modeling with Diffusion Models18 May 2023
50 newest of 123 All 123 (JSON)
- 2021Conditional Object-Centric Learning from Videocited by 247
- 2021Structured World Belief for Reinforcement Learning in POMDPcited by 21
- 2024Language Agents Meet Causality -- Bridging LLMs and Causal World Modelscited by 8
- 2023Model-Based Reinforcement Learning with Isolated Imaginationscited by 4
- 2024FACTS: A Factored State-Space Framework For World Modellingcited by 4
- 2025Dreamweaver: Learning Compositional World Models from Pixelscited by 4
- 2025Dreamweaver: Learning Compositional World Models from Pixels24 Jan 2025
- 2024FACTS: A Factored State-Space Framework For World Modelling28 Oct 2024
- 2024Language Agents Meet Causality -- Bridging LLMs and Causal World Models25 Oct 2024
- 2023Model-Based Reinforcement Learning with Isolated Imaginations27 Mar 2023
- 2021Conditional Object-Centric Learning from Video24 Nov 2021
- 2021Structured World Belief for Reinforcement Learning in POMDP19 Jul 2021
- 2022VAEL: Bridging Variational Autoencoders and Probabilistic Logic Programmingcited by 31
- 2024Neural Language of Thought Modelscited by 9
- 2022Search for Concepts: Discovering Visual Concepts Using Direct Optimizationcited by 2
- 2022Towards Unsupervised Visual Reasoning: Do Off-The-Shelf Features Know How to Reason?cited by 1
- 2023OC-NMN: Object-centric Compositional Neural Module Network for Generative Visual Analogical Reasoningcited by 0
- 2024Neural Language of Thought Models2 Feb 2024
- 2023OC-NMN: Object-centric Compositional Neural Module Network for Generative Visual Analogical Reasoning28 Oct 2023
- 2022Towards Unsupervised Visual Reasoning: Do Off-The-Shelf Features Know How to Reason?20 Dec 2022
- 2022Search for Concepts: Discovering Visual Concepts Using Direct Optimization25 Oct 2022
- 2022VAEL: Bridging Variational Autoencoders and Probabilistic Logic Programming7 Feb 2022
- 2023Object-Centric Slot Diffusioncited by 90
- 2023SlotDiffusion: Object-Centric Generative Modeling with Diffusion Modelscited by 85
- 2023SlotDiffusion: Object-Centric Generative Modeling with Diffusion Models18 May 2023
- 2023Object-Centric Slot Diffusion20 Mar 2023
- 2024Slot State Space Modelscited by 17
- 2024Slot State Space Models18 Jun 2024
- 2022SAVi++: Towards End-to-End Object-Centric Learning from Real-World Videoscited by 165
- 2021Illiterate DALL-E Learns to Composecited by 147
- 2022Simple Unsupervised Object-Centric Learning for Complex and Naturalistic Videoscited by 139
- 2021Generative Adversarial Transformerscited by 120
- 2021GENESIS-V2: Inferring Unordered Object Representations without Iterative Refinementcited by 109
- 2021Unsupervised Discovery of Object Radiance Fieldscited by 100
- 2021ClevrTex: A Texture-Rich Benchmark for Unsupervised Multi-Object Segmentationcited by 93
- 2021Decomposing 3D Scenes into Objects via Unsupervised Volume Segmentationcited by 88
- 2021Generalization and Robustness Implications in Object-Centric Learningcited by 81
- 2023Object-Centric Learning for Real-World Videos by Predicting Temporal Feature Similaritiescited by 78
- 2021Is Attention Better Than Matrix Decomposition?cited by 75
- 2021Unsupervised Learning of Compositional Energy Conceptscited by 71
12 most cited of 107 All 107 (JSON)
- 2026Cohort Organized Learning: Clustering Through Agreement19 Jun 2026
- 2026Deep Sprite-based Image Models: An Analysis21 Apr 2026
- 2026Joint Representation Learning and Clustering via Gradient-Based Manifold Optimization15 Apr 2026
- 2026Bodhi VLM: Privacy-Alignment Modeling for Hierarchical Visual Representations in Vision Backbones and VLM Encoders via Bottom-Up and Top-Down Feature Search14 Mar 2026
- 2026ORGAN: Object-Centric Representation Learning using Cycle Consistent Generative Adversarial Networks2 Mar 2026
- 2025Gradient Descent as Implicit EM in Distance-Based Neural Models31 Dec 2025
- 2025Learning Object-Centric Representations in SAR Images with Multi-Level Feature Fusion11 Sep 2025
- 2025SlotMatch: Distilling Object-Centric Representations for Unsupervised Video Segmentation5 Aug 2025
- 2025CoLa: Chinese Character Decomposition with Compositional Latent Components4 Jun 2025
- 2025unMORE: Unsupervised Multi-Object Segmentation via Center-Boundary Reasoning2 Jun 2025
- 2024Efficient Object-centric Representation Learning with Pre-trained Geometric Prior16 Dec 2024
- 2024Improving Viewpoint-Independent Object-Centric Representations through Active Viewpoint Selection1 Nov 2024
12 newest of 107 All 107 (JSON)