Deep Learning Markov Random Field for Semantic Segmentation
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Abstract (arXiv)
Semantic segmentation tasks can be well modeled by Markov Random Field (MRF). This paper addresses semantic segmentation by incorporating high-order relations and mixture of label contexts into MRF. Unlike previous works that optimized MRFs using iterative algorithm, we solve MRF by proposing a Convolutional Neural Network (CNN), namely Deep Parsing Network (DPN), which enables deterministic end-to-end computation in a single forward pass. Specifically, DPN extends a contemporary CNN to model unary terms and additional layers are devised to approximate the mean field (MF) algorithm for pairwise terms. It has several appealing properties. First, different from the recent works that required many iterations of MF during back-propagation, DPN is able to achieve high performance by approximating one iteration of MF. Second, DPN represents various types of pairwise terms, making many existing models as its special cases. Furthermore, pairwise terms in DPN provide a unified framework to encode rich contextual information in high-dimensional data, such as images and videos. Third, DPN makes MF easier to be parallelized and speeded up, thus enabling efficient inference. DPN is thoroughly evaluated on standard semantic image/video segmentation benchmarks, where a single DPN model yields state-of-the-art segmentation accuracies on PASCAL VOC 2012, Cityscapes dataset and CamVid dataset.
Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). First posted on arXiv 23 Jun 2016.
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Citing papers per year: 2021: 9; 2022: 9; 2023: 5; 2024: 1; 2025: 2; 2026: 1.
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- 2021Exploring Cross-Image Pixel Contrast for Semantic Segmentationcited by 242
- 2022Rethinking Semantic Segmentation: A Prototype Viewcited by 140
- 2021Deep Dual-resolution Networks for Real-time and Accurate Semantic Segmentation of Road Scenescited by 89
- 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Modelscited by 87
- 2021Low-light Image Enhancement via Breaking Down the Darknesscited by 65
- 2021Mining Contextual Information Beyond Image for Semantic Segmentationcited by 48
- 2022Equivariant Hypergraph Diffusion Neural Operatorscited by 47
- 2021Inspect, Understand, Overcome: A Survey of Practical Methods for AI Safetycited by 35
- 2022Weakly Supervised Object Localization via Transformer with Implicit Spatial Calibrationcited by 20
- 2023LOGICSEG: Parsing Visual Semantics with Neural Logic Learning and Reasoningcited by 17
- 2022Spatial Mixture-of-Expertscited by 14
- 2022MCIBI++: Soft Mining Contextual Information Beyond Image for Semantic Segmentationcited by 10
15 more
- 2021Graphical Modeling for Multi-Source Domain Adaptationcited by 7
- 2023Deep Graph Unfolding for Beamforming in MU-MIMO Interference Networkscited by 6
- 2021Transformer-Unet: Raw Image Processing with Unetcited by 5
- 2023Class-level Multiple Distributions Representation are Necessary for Semantic Segmentationcited by 5
- 2021Weaving Attention U-net: A Novel Hybrid CNN and Attention-based Method for Organs-at-risk Segmentation in Head and Neck CT Imagescited by 4
- 2021Target Detection and Segmentation in Circular-Scan Synthetic-Aperture-Sonar Images using Semi-Supervised Convolutional Encoder-Decoderscited by 3
- 2022Dual Perceptual Loss for Single Image Super-Resolution Using ESRGANcited by 3
- 2025The SAM2-to-SAM3 Gap in the Segment Anything Model Family: Why Prompt-Based Expertise Fails in Concept-Driven Image Segmentationcited by 2
- 2023Interpretable Small Training Set Image Segmentation Network Originated from Multi-Grid Variational Modelcited by 1
- 2024PreCM: The Padding-based Rotation Equivariant Convolution Mode for Semantic Segmentationcited by 1
- 2022Shift-Memory Network for Temporal Scene Segmentationcited by 0
- 2022Joint Learning of Deep Texture and High-Frequency Features for Computer-Generated Image Detectioncited by 0
- 2023Pseudo-Trilateral Adversarial Training for Domain Adaptive Traversability Predictioncited by 0
- 2025Scaling Neuro-symbolic Problem Solving: Solver-Free Learning of Constraints and Objectivescited by 0
- 2026Segmenting Low-Contrast XCTs of Concrete: An Unsupervised Approachcited by 0
- 2026Segmenting Low-Contrast XCTs of Concrete: An Unsupervised Approach23 Feb 2026
- 2025The SAM2-to-SAM3 Gap in the Segment Anything Model Family: Why Prompt-Based Expertise Fails in Concept-Driven Image Segmentation4 Dec 2025
- 2025Scaling Neuro-symbolic Problem Solving: Solver-Free Learning of Constraints and Objectives28 Aug 2025
- 2024PreCM: The Padding-based Rotation Equivariant Convolution Mode for Semantic Segmentation3 Nov 2024
- 2023LOGICSEG: Parsing Visual Semantics with Neural Logic Learning and Reasoning24 Sep 2023
- 2023Pseudo-Trilateral Adversarial Training for Domain Adaptive Traversability Prediction26 Jun 2023
- 2023Interpretable Small Training Set Image Segmentation Network Originated from Multi-Grid Variational Model25 Jun 2023
- 2023Deep Graph Unfolding for Beamforming in MU-MIMO Interference Networks2 Apr 2023
- 2023Class-level Multiple Distributions Representation are Necessary for Semantic Segmentation14 Mar 2023
- 2022Spatial Mixture-of-Experts24 Nov 2022
- 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Models5 Oct 2022
- 2022MCIBI++: Soft Mining Contextual Information Beyond Image for Semantic Segmentation9 Sep 2022
15 more
- 2022Joint Learning of Deep Texture and High-Frequency Features for Computer-Generated Image Detection7 Sep 2022
- 2022Weakly Supervised Object Localization via Transformer with Implicit Spatial Calibration21 Jul 2022
- 2022Equivariant Hypergraph Diffusion Neural Operators14 Jul 2022
- 2022Rethinking Semantic Segmentation: A Prototype View28 Mar 2022
- 2022Shift-Memory Network for Temporal Scene Segmentation17 Feb 2022
- 2022Dual Perceptual Loss for Single Image Super-Resolution Using ESRGAN17 Jan 2022
- 2021Low-light Image Enhancement via Breaking Down the Darkness30 Nov 2021
- 2021Transformer-Unet: Raw Image Processing with Unet17 Sep 2021
- 2021Mining Contextual Information Beyond Image for Semantic Segmentation26 Aug 2021
- 2021Weaving Attention U-net: A Novel Hybrid CNN and Attention-based Method for Organs-at-risk Segmentation in Head and Neck CT Images10 Jul 2021
- 2021Inspect, Understand, Overcome: A Survey of Practical Methods for AI Safety29 Apr 2021
- 2021Graphical Modeling for Multi-Source Domain Adaptation27 Apr 2021
- 2021Exploring Cross-Image Pixel Contrast for Semantic Segmentation28 Jan 2021
- 2021Deep Dual-resolution Networks for Real-time and Accurate Semantic Segmentation of Road Scenes15 Jan 2021
- 2021Target Detection and Segmentation in Circular-Scan Synthetic-Aperture-Sonar Images using Semi-Supervised Convolutional Encoder-Decoders10 Jan 2021
- 2022Spatial Mixture-of-Expertscited by 14
- 2022Spatial Mixture-of-Experts24 Nov 2022
- 2021Exploring Cross-Image Pixel Contrast for Semantic Segmentationcited by 242
- 2022Rethinking Semantic Segmentation: A Prototype Viewcited by 140
- 2021Deep Dual-resolution Networks for Real-time and Accurate Semantic Segmentation of Road Scenescited by 89
- 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Modelscited by 87
- 2021Low-light Image Enhancement via Breaking Down the Darknesscited by 65
- 2021Mining Contextual Information Beyond Image for Semantic Segmentationcited by 48
- 2022Equivariant Hypergraph Diffusion Neural Operatorscited by 47
- 2021Inspect, Understand, Overcome: A Survey of Practical Methods for AI Safetycited by 35
- 2022Weakly Supervised Object Localization via Transformer with Implicit Spatial Calibrationcited by 20
- 2023LOGICSEG: Parsing Visual Semantics with Neural Logic Learning and Reasoningcited by 17
- 2022MCIBI++: Soft Mining Contextual Information Beyond Image for Semantic Segmentationcited by 10
- 2021Graphical Modeling for Multi-Source Domain Adaptationcited by 7
12 most cited of 26 All 26 (JSON)
- 2026Segmenting Low-Contrast XCTs of Concrete: An Unsupervised Approach23 Feb 2026
- 2025The SAM2-to-SAM3 Gap in the Segment Anything Model Family: Why Prompt-Based Expertise Fails in Concept-Driven Image Segmentation4 Dec 2025
- 2025Scaling Neuro-symbolic Problem Solving: Solver-Free Learning of Constraints and Objectives28 Aug 2025
- 2024PreCM: The Padding-based Rotation Equivariant Convolution Mode for Semantic Segmentation3 Nov 2024
- 2023LOGICSEG: Parsing Visual Semantics with Neural Logic Learning and Reasoning24 Sep 2023
- 2023Pseudo-Trilateral Adversarial Training for Domain Adaptive Traversability Prediction26 Jun 2023
- 2023Interpretable Small Training Set Image Segmentation Network Originated from Multi-Grid Variational Model25 Jun 2023
- 2023Deep Graph Unfolding for Beamforming in MU-MIMO Interference Networks2 Apr 2023
- 2023Class-level Multiple Distributions Representation are Necessary for Semantic Segmentation14 Mar 2023
- 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Models5 Oct 2022
- 2022MCIBI++: Soft Mining Contextual Information Beyond Image for Semantic Segmentation9 Sep 2022
- 2022Joint Learning of Deep Texture and High-Frequency Features for Computer-Generated Image Detection7 Sep 2022
12 newest of 26 All 26 (JSON)