mlsanityData to 7 Oct 2026

Unsupervised Layered Image Decomposition into Object Prototypes

arXiv 2104.14575 ↗First posted 29 Apr 2021cs.CVcited by 50

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Abstract (arXiv)

We present an unsupervised learning framework for decomposing images into layers of automatically discovered object models. Contrary to recent approaches that model image layers with autoencoder networks, we represent them as explicit transformations of a small set of prototypical images. Our model has three main components: (i) a set of object prototypes in the form of learnable images with a transparency channel, which we refer to as sprites; (ii) differentiable parametric functions predicting occlusions and transformation parameters necessary to instantiate the sprites in a given image; (iii) a layered image formation model with occlusion for compositing these instances into complete images including background. By jointly learning the sprites and occlusion/transformation predictors to reconstruct images, our approach not only yields accurate layered image decompositions, but also identifies object categories and instance parameters. We first validate our approach by providing results on par with the state of the art on standard multi-object synthetic benchmarks (Tetrominoes, Multi-dSprites, CLEVR6). We then demonstrate the applicability of our model to real images in tasks that include clustering (SVHN, GTSRB), cosegmentation (Weizmann Horse) and object discovery from unfiltered social network images. To the best of our knowledge, our approach is the first layered image decomposition algorithm that learns an explicit and shared concept of object type, and is robust enough to be applied to real images.

Key facts. Cited by 50 papers in the map (data through 7 Oct 2026). Builds on 36 of its 81 references that are in the map. First posted on arXiv 29 Apr 2021.

Builds on

36 of 81 references.

References · 36

  1. 2017Attention Is All You Needcited by 59,932
  2. 2015Deep Residual Learning for Image Recognitioncited by 51,809
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  11. 2019Multi-Object Representation Learning with Iterative Variational Inferencecited by 359
  12. 2020SCAN: Learning to Classify Images without Labelscited by 351
24 more
  1. 2019GENESIS: Generative Scene Inference and Sampling with Object-Centric Latent Representationscited by 227
  2. 2016Attend, Infer, Repeat: Fast Scene Understanding with Generative Modelscited by 209
  3. 2020SPACE: Unsupervised Object-Oriented Scene Representation via Spatial Attention and Decompositioncited by 190
  4. 2017Learning Discrete Representations via Information Maximizing Self-Augmented Trainingcited by 149
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  6. 2018Sequential Attend, Infer, Repeat: Generative Modelling of Moving Objectscited by 128
  7. 2017Neural Expectation Maximizationcited by 123
  8. 2019Spatial Broadcast Decoder: A Simple Architecture for Learning Disentangled Representations in VAEscited by 116
  9. 2018Relational Neural Expectation Maximization: Unsupervised Discovery of Objects and their Interactionscited by 100
  10. 2018ST-GAN: Spatial Transformer Generative Adversarial Networks for Image Compositingcited by 90
  11. 2019Stacked Capsule Autoencoderscited by 82
  12. 2019Unsupervised Object Segmentation by Redrawingcited by 74
  13. 2015Unsupervised Object Discovery and Localization in the Wild: Part-based Matching with Bottom-up Region Proposalscited by 69
  14. 2016Tagger: Deep Unsupervised Perceptual Groupingcited by 69
  15. 2020Toward unsupervised, multi-object discovery in large-scale image collectionscited by 65
  16. 2018FineGAN: Unsupervised Hierarchical Disentanglement for Fine-Grained Object Generation and Discoverycited by 58
  17. 2019Unsupervised Image Matching and Object Discovery as Optimizationcited by 42
  18. 2020Towards causal generative scene models via competition of expertscited by 37
  19. 2017LR-GAN: Layered Recursive Generative Adversarial Networks for Image Generationcited by 36
  20. 2019Object Discovery with a Copy-Pasting GANcited by 29
  21. 2020Deep Transformation-Invariant Clusteringcited by 26
  22. 2020Learning to Manipulate Individual Objects in an Imagecited by 22
  23. 2015Binding via Reconstruction Clusteringcited by 16
  24. 2019Jointly Aligning Millions of Images with Deep Penalised Reconstruction Congealingcited by 4

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 5; 2022: 14; 2023: 13; 2024: 9; 2025: 5; 2026: 4.

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  1. 2021Localizing Objects with Self-Supervised Transformers and no Labelscited by 227
  2. 2022Deep Spectral Methods: A Surprisingly Strong Baseline for Unsupervised Semantic Segmentation and Localizationcited by 150
  3. 2021Unsupervised Discovery of Object Radiance Fieldscited by 100
  4. 2021ClevrTex: A Texture-Rich Benchmark for Unsupervised Multi-Object Segmentationcited by 93
  5. 2022Improving Object-centric Learning with Query Optimizationcited by 60
  6. 2021Large-Scale Unsupervised Object Discoverycited by 54
  7. 2023Invariant Slot Attention: Object Discovery with Slot-Centric Reference Framescited by 51
  8. 2023SPOT: Self-Training with Patch-Order Permutation for Object-Centric Learning with Autoregressive Transformerscited by 49
  9. 2022Guess What Moves: Unsupervised Video and Image Segmentation by Anticipating Motioncited by 42
  10. 2023Differentiable Blocks World: Qualitative 3D Decomposition by Rendering Primitivescited by 37
  11. 2024Artificial Kuramoto Oscillatory Neuronscited by 37
  12. 2023The Hidden Language of Diffusion Modelscited by 34
38 more
  1. 2025Qwen-Image-Layered: Towards Inherent Editability via Layer Decompositioncited by 29
  2. 2022Compositional Scene Representation Learning via Reconstruction: A Surveycited by 27
  3. 2022Share With Thy Neighbors: Single-View Reconstruction by Cross-Instance Consistencycited by 26
  4. 2025LayerD: Decomposing Raster Graphic Designs into Layerscited by 20
  5. 2022Unsupervised Multi-object Segmentation by Predicting Probable Motion Patternscited by 19
  6. 2022Image Amodal Completion: A Surveycited by 18
  7. 2023Shepherding Slots to Objects: Towards Stable and Robust Object-Centric Learningcited by 17
  8. 2024Object-level Scene Deocclusioncited by 17
  9. 2026Agent Banana: High-Fidelity Image Editing with Agentic Thinking and Toolingcited by 17
  10. 2023Unlocking Slot Attention by Changing Optimal Transport Costscited by 16
  11. 2023Multi-Object Discovery by Low-Dimensional Object Motioncited by 16
  12. 2023Semantic Attention Flow Fields for Monocular Dynamic Scene Decompositioncited by 12
  13. 2024Unsupervised Discovery of Object-Centric Neural Fieldscited by 12
  14. 2024Compositional Image Decomposition with Diffusion Modelscited by 12
  15. 2022Unsupervised Multi-object Segmentation Using Attention and Soft-argmaxcited by 11
  16. 2023Pixel-wise Agricultural Image Time Series Classification: Comparisons and a Deformable Prototype-based Approachcited by 8
  17. 2023Neural Radiance Field Codebookscited by 7
  18. 2021Unsupervised Image Decomposition with Phase-Correlation Networkscited by 6
  19. 2022Differentiable Mathematical Programming for Object-Centric Representation Learningcited by 6
  20. 2022WALDO: Future Video Synthesis using Object Layer Decomposition and Parametric Flow Predictioncited by 5
  21. 2023Learnable Earth Parser: Discovering 3D Prototypes in Aerial Scanscited by 5
  22. 2024Unsupervised Object Discovery: A Comprehensive Survey and Unified Taxonomycited by 4
  23. 2025Motion-Refined DINOSAUR for Unsupervised Multi-Object Discoverycited by 4
  24. 2023The Learnable Typewriter: A Generative Approach to Text Analysiscited by 3
  25. 2022Search for Concepts: Discovering Visual Concepts Using Direct Optimizationcited by 2
  26. 2024Fast Sprite Decomposition from Animated Graphicscited by 2
  27. 2022Learning Explicit Object-Centric Representations with Vision Transformerscited by 1
  28. 2022Compositional Scene Modeling with Global Object-Centric Representationscited by 1
  29. 2022Towards Unsupervised Visual Reasoning: Do Off-The-Shelf Features Know How to Reason?cited by 1
  30. 2023Self-supervised Scene Text Segmentation with Object-centric Layered Representations Augmented by Text Regionscited by 1
  31. 2024DMAT: A Dynamic Mask-Aware Transformer for Human De-occlusioncited by 1
  32. 2025CObL: Toward Zero-Shot Ordinal Layering without User Promptingcited by 1
  33. 2024DepGAN: Leveraging Depth Maps for Handling Occlusions and Transparency in Image Compositioncited by 0
  34. 2024Historical Printed Ornaments: Dataset and Taskscited by 0
  35. 2025VideoPCDNet: Video Parsing and Prediction with Phase Correlation Networkscited by 0
  36. 2026Deep Sprite-based Image Models: An Analysiscited by 0
  37. 2026Leveraging Morphology for Historical Script Metrological Analysiscited by 0
  38. 2026Bottom-up Modeling of Repeated Elements via Single Image Analysis-by-Synthesiscited by 0