mlsanityData to 7 Oct 2026

Conditional Random Fields as Recurrent Neural Networks

arXiv 1502.03240 ↗First posted 11 Feb 2015cs.CVcited by 213

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Abstract (arXiv)

Pixel-level labelling tasks, such as semantic segmentation, play a central role in image understanding. Recent approaches have attempted to harness the capabilities of deep learning techniques for image recognition to tackle pixel-level labelling tasks. One central issue in this methodology is the limited capacity of deep learning techniques to delineate visual objects. To solve this problem, we introduce a new form of convolutional neural network that combines the strengths of Convolutional Neural Networks (CNNs) and Conditional Random Fields (CRFs)-based probabilistic graphical modelling. To this end, we formulate mean-field approximate inference for the Conditional Random Fields with Gaussian pairwise potentials as Recurrent Neural Networks. This network, called CRF-RNN, is then plugged in as a part of a CNN to obtain a deep network that has desirable properties of both CNNs and CRFs. Importantly, our system fully integrates CRF modelling with CNNs, making it possible to train the whole deep network end-to-end with the usual back-propagation algorithm, avoiding offline post-processing methods for object delineation. We apply the proposed method to the problem of semantic image segmentation, obtaining top results on the challenging Pascal VOC 2012 segmentation benchmark.

Key facts. Cited by 213 papers in the map (data through 7 Oct 2026). First posted on arXiv 11 Feb 2015.

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Citing papers per year: 2018: 1; 2019: 0; 2020: 0; 2021: 69; 2022: 48; 2023: 41; 2024: 19; 2025: 17; 2026: 18.

213 papers.

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  1. 2021Pre-Trained Models: Past, Present and Futurecited by 319
  2. 2021Exploring Cross-Image Pixel Contrast for Semantic Segmentationcited by 242
  3. 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
  4. 2022Rethinking Semantic Segmentation: A Prototype Viewcited by 140
  5. 2021A Comprehensive Survey of Scene Graphs: Generation and Applicationcited by 125
  6. 2022ReSTR: Convolution-free Referring Image Segmentation Using Transformerscited by 112
  7. 2021One Thing One Click: A Self-Training Approach for Weakly Supervised 3D Semantic Segmentationcited by 89
  8. 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Modelscited by 87
  9. 2022Scene Graph Generation: A Comprehensive Surveycited by 73
  10. 2022Representation Compensation Networks for Continual Semantic Segmentationcited by 72
  11. 2023CLIP as RNN: Segment Countless Visual Concepts without Training Endeavorcited by 69
  12. 2022CycleMix: A Holistic Strategy for Medical Image Segmentation from Scribble Supervisioncited by 64
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  1. 2021Global and Local Texture Randomization for Synthetic-to-Real Semantic Segmentationcited by 56
  2. 2021GroupFormer: Group Activity Recognition with Clustered Spatial-Temporal Transformercited by 54
  3. 2021A Survey on Green Deep Learningcited by 52
  4. 2021Enhanced Boundary Learning for Glass-like Object Segmentationcited by 48
  5. 2021Mining Contextual Information Beyond Image for Semantic Segmentationcited by 48
  6. 2021Pseudo-mask Matters in Weakly-supervised Semantic Segmentationcited by 48
  7. 2022Equivariant Hypergraph Diffusion Neural Operatorscited by 45
  8. 2021CTNet: Context-based Tandem Network for Semantic Segmentationcited by 43
  9. 2026SWE-Pruner: Self-Adaptive Context Pruning for Coding Agentscited by 40
  10. 2023Deep Networks as Denoising Algorithms: Sample-Efficient Learning of Diffusion Models in High-Dimensional Graphical Modelscited by 39
  11. 2021Coarse-to-Fine Domain Adaptive Semantic Segmentation with Photometric Alignment and Category-Center Regularizationcited by 36
  12. 2021HCRF-Flow: Scene Flow from Point Clouds with Continuous High-order CRFs and Position-aware Flow Embeddingcited by 36
  13. 2021Inspect, Understand, Overcome: A Survey of Practical Methods for AI Safetycited by 35
  14. 2023BEVNeXt: Reviving Dense BEV Frameworks for 3D Object Detectioncited by 35
  15. 2022NeuPSL: Neural Probabilistic Soft Logiccited by 34
  16. 2022Peekaboo: Text to Image Diffusion Models are Zero-Shot Segmentorscited by 34
  17. 2021SOSD-Net: Joint Semantic Object Segmentation and Depth Estimation from Monocular imagescited by 33
  18. 2023CLUSTSEG: Clustering for Universal Segmentationcited by 32
  19. 2021High Quality Segmentation for Ultra High-resolution Imagescited by 31
  20. 2023Semantic Diffusion Network for Semantic Segmentationcited by 30
  21. 2021Uncertainty Estimation via Response Scaling for Pseudo-mask Noise Mitigation in Weakly-supervised Semantic Segmentationcited by 28
  22. 2022Learning Graph Regularisation for Guided Super-Resolutioncited by 27
  23. 2023FREDOM: Fairness Domain Adaptation Approach to Semantic Scene Understandingcited by 27
  24. 2023Diffusion-based Image Translation with Label Guidance for Domain Adaptive Semantic Segmentationcited by 27
  25. 2022ShapePU: A New PU Learning Framework Regularized by Global Consistency for Scribble Supervised Cardiac Segmentationcited by 26
  26. 2023Semantic Image Segmentation: Two Decades of Researchcited by 26
  27. 2022Bending Graphs: Hierarchical Shape Matching using Gated Optimal Transportcited by 24
  28. 2024ScribFormer: Transformer Makes CNN Work Better for Scribble-based Medical Image Segmentationcited by 24
  29. 2022On the Road to Online Adaptation for Semantic Image Segmentationcited by 23
  30. 2023ScribbleVC: Scribble-supervised Medical Image Segmentation with Vision-Class Embeddingcited by 23
  31. 2022Learning Self-Supervised Low-Rank Network for Single-Stage Weakly and Semi-Supervised Semantic Segmentationcited by 21
  32. 2023MapPrior: Bird's-Eye View Map Layout Estimation with Generative Modelscited by 21
  33. 2025LPOSS: Label Propagation Over Patches and Pixels for Open-vocabulary Semantic Segmentationcited by 21
  34. 2021Causal Hidden Markov Model for Time Series Disease Forecastingcited by 19
  35. 2021Unsupervised Domain Adaptation for Semantic Image Segmentation: a Comprehensive Surveycited by 19
  36. 2022Weakly-Supervised Semantic Segmentation with Visual Words Learning and Hybrid Poolingcited by 19
  37. 2022Semantic-SuPer: A Semantic-aware Surgical Perception Framework for Endoscopic Tissue Identification, Reconstruction, and Trackingcited by 19
  38. 2024U-Nets as Belief Propagation: Efficient Classification, Denoising, and Diffusion in Generative Hierarchical Modelscited by 17

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