Tree Energy Loss: Towards Sparsely Annotated Semantic Segmentation
Not on the map. Why?
Abstract (arXiv)
Sparsely annotated semantic segmentation (SASS) aims to train a segmentation network with coarse-grained (i.e., point-, scribble-, and block-wise) supervisions, where only a small proportion of pixels are labeled in each image. In this paper, we propose a novel tree energy loss for SASS by providing semantic guidance for unlabeled pixels. The tree energy loss represents images as minimum spanning trees to model both low-level and high-level pair-wise affinities. By sequentially applying these affinities to the network prediction, soft pseudo labels for unlabeled pixels are generated in a coarse-to-fine manner, achieving dynamic online self-training. The tree energy loss is effective and easy to be incorporated into existing frameworks by combining it with a traditional segmentation loss. Compared with previous SASS methods, our method requires no multistage training strategies, alternating optimization procedures, additional supervised data, or time-consuming post-processing while outperforming them in all SASS settings. Code is available at https://github.com/megvii-research/TreeEnergyLoss.
Key facts. Cited by 47 papers in the map (data through 7 Oct 2026). Builds on 28 of its 46 references that are in the map. First posted on arXiv 21 Mar 2022.
Builds on
28 of 46 references.
References · 28
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2016The Cityscapes Dataset for Semantic Urban Scene Understandingcited by 4,427
- 2016DeepLab: Semantic Image Segmentation with Deep Convolutional Nets, Atrous Convolution, and Fully Connected CRFscited by 3,239
- 2018Encoder-Decoder with Atrous Separable Convolution for Semantic Image Segmentationcited by 3,210
- 2017Non-local Neural Networkscited by 2,290
- 2018Co-teaching: Robust Training of Deep Neural Networks with Extremely Noisy Labelscited by 1,053
- 2015Holistically-Nested Edge Detectioncited by 590
- 2017Mean teachers are better role models: Weight-averaged consistency targets improve semi-supervised deep learning resultscited by 470
- 2016ScribbleSup: Scribble-Supervised Convolutional Networks for Semantic Segmentationcited by 330
- 2015What's the Point: Semantic Segmentation with Point Supervisioncited by 297
- 2019Auto-DeepLab: Hierarchical Neural Architecture Search for Semantic Image Segmentationcited by 258
16 more
- 2021Exploring Cross-Image Pixel Contrast for Semantic Segmentationcited by 242
- 2019High-Resolution Representations for Labeling Pixels and Regionscited by 211
- 2020BoxInst: High-Performance Instance Segmentation with Box Annotationscited by 150
- 2018On Regularized Losses for Weakly-supervised CNN Segmentationcited by 121
- 2018Normalized Cut Loss for Weakly-supervised CNN Segmentationcited by 112
- 2018Learning random-walk label propagation for weakly-supervised semantic segmentationcited by 101
- 2022Regional Semantic Contrast and Aggregation for Weakly Supervised Semantic Segmentationcited by 64
- 2021Affinity Attention Graph Neural Network for Weakly Supervised Semantic Segmentationcited by 47
- 2021Universal Weakly Supervised Segmentation by Pixel-to-Segment Contrastive Learningcited by 43
- 2019Gated CRF Loss for Weakly Supervised Semantic Image Segmentationcited by 40
- 2018Weakly Supervised Scene Parsing with Point-based Distance Metric Learningcited by 33
- 2019Learnable Tree Filter for Structure-preserving Feature Transformcited by 25
- 2021Scribble-Supervised Semantic Segmentation by Uncertainty Reduction on Neural Representation and Self-Supervision on Neural Eigenspacecited by 19
- 2021Seminar Learning for Click-Level Weakly Supervised Semantic Segmentationcited by 14
- 2020Rethinking Learnable Tree Filter for Generic Feature Transformcited by 10
- 2021WeClick: Weakly-Supervised Video Semantic Segmentation with Click Annotationscited by 4
Built on by
Citing papers per year: 2022: 4; 2023: 12; 2024: 13; 2025: 7; 2026: 11.
47 papers.
Sort:
By area:
- 2023Weakly-Supervised Concealed Object Segmentation with SAM-based Pseudo Labeling and Multi-scale Feature Groupingcited by 92
- 2022Box-supervised Instance Segmentation with Level Set Evolutioncited by 41
- 2023Point2Mask: Point-supervised Panoptic Segmentation via Optimal Transportcited by 23
- 2022Box2Mask: Box-supervised Instance Segmentation via Level-set Evolutioncited by 22
- 2024SAM-COD: SAM-guided Unified Framework for Weakly-Supervised Camouflaged Object Detectioncited by 22
- 2023LiDAR2Map: In Defense of LiDAR-Based Semantic Map Construction Using Online Camera Distillationcited by 18
- 2024Frozen CLIP: A Strong Backbone for Weakly Supervised Semantic Segmentationcited by 14
- 2023Pixel Difference Convolutional Network for RGB-D Semantic Segmentationcited by 13
- 2024Learning Camouflaged Object Detection from Noisy Pseudo Labelcited by 12
- 2023Mutual Information Regularization for Weakly-supervised RGB-D Salient Object Detectioncited by 9
- 2024Label-efficient Semantic Scene Completion with Scribble Annotationscited by 9
- 2023Scribble-based 3D Multiple Abdominal Organ Segmentation via Triple-branch Multi-dilated Network with Pixel- and Class-wise Consistencycited by 7
35 more
- 2023Label-efficient Segmentation via Affinity Propagationcited by 7
- 2022SASFormer: Transformers for Sparsely Annotated Semantic Segmentationcited by 6
- 2024FedLPPA: Learning Personalized Prompt and Aggregation for Federated Weakly-supervised Medical Image Segmentationcited by 6
- 2024Scribble Hides Class: Promoting Scribble-Based Weakly-Supervised Semantic Segmentation with Its Class Labelcited by 6
- 2025SCALER: SAM-Enhanced Collaborative Learning for Label-Deficient Concealed Object Segmentationcited by 6
- 2023ScribbleGen: Generative Data Augmentation Improves Scribble-supervised Semantic Segmentationcited by 5
- 2023Unifying and Personalizing Weakly-supervised Federated Medical Image Segmentation via Adaptive Representation and Aggregationcited by 4
- 2024Scribbles for All: Benchmarking Scribble Supervised Segmentation Across Datasetscited by 4
- 2025Segment Concealed Objects with Incomplete Supervisioncited by 4
- 2023A Language-Guided Benchmark for Weakly Supervised Open Vocabulary Semantic Segmentationcited by 3
- 2024ProCNS: Progressive Prototype Calibration and Noise Suppression for Weakly-Supervised Medical Image Segmentationcited by 3
- 2024Towards Real Zero-Shot Camouflaged Object Segmentation without Camouflaged Annotationscited by 3
- 2025Stepwise Decomposition and Dual-stream Focus: A Novel Approach for Training-free Camouflaged Object Segmentationcited by 3
- 2023Boosting Weakly-Supervised Image Segmentation via Representation, Transform, and Compensatorcited by 2
- 2025Soft Self-labeling and Potts Relaxations for Weakly-Supervised Segmentationcited by 2
- 2025Segment Anything Across Shots: A Method and Benchmarkcited by 2
- 2022RecurSeed and EdgePredictMix: Pseudo-Label Refinement Learning for Weakly Supervised Semantic Segmentation across Single- and Multi-Stage Frameworkscited by 1
- 2023Land Cover Segmentation with Sparse Annotations from Sentinel-2 Imagerycited by 1
- 2024Self-Supervised Vision Transformers Are Efficient Segmentation Learners for Imperfect Labelscited by 1
- 2024Global High Categorical Resolution Land Cover Mapping via Weak Supervisioncited by 1
- 2025Deep Learning for Crack Detection: A Review of Learning Paradigms, Generalizability, and Datasetscited by 1
- 2026Weakly Supervised Segmentation as Semantic-Based Regularizationcited by 1
- 2026Weakly Supervised Camouflaged Object Detection Based on the SAM Model and Mask Guidancecited by 1
- 2026ARTEMIS: Agent-guided Reliability-aware Temporal Mask Evolution for Imperfectly Supervised Video Polyp Segmentationcited by 1
- 2024Competing for pixels: a self-play algorithm for weakly-supervised segmentationcited by 0
- 2024Size Aware Cross-shape Scribble Supervision for Medical Image Segmentationcited by 0
- 2025LC-SLab -- An object-based deep learning framework for large-scale land cover classification from satellite imagery and sparse in-situ labelscited by 0
- 2026SAPNet++: Evolving Point-Prompted Instance Segmentation with Semantic and Spatial Awarenesscited by 0
- 2026Rewis3d: Reconstruction Improves Weakly-Supervised Semantic Segmentationcited by 0
- 2026Do Instance Priors Help Weakly Supervised Semantic Segmentation?cited by 0
- 2026LIE: LiDAR-only HD Map Construction with Intensity Enhancement via Online Knowledge Distillationcited by 0
- 2026iSAGE: A Human-in-the-Loop Framework for Remote Sensing Semantic Segmentation via Sparse Point Supervisioncited by 0
- 2026APRIL-MedSeg: A Modular Medical Image Segmentation Toolbox Embracing Modern Paradigmscited by 0
- 2026TACoS: Weakly Supervised Learning of Two-Dimensional Materials from Scribble Annotations to Precise Segmentationcited by 0
- 2026A Unified Variational Framework for Deep Weakly Supervised Image Segmentationcited by 0
- 2026A Unified Variational Framework for Deep Weakly Supervised Image Segmentation22 Jul 2026
- 2026TACoS: Weakly Supervised Learning of Two-Dimensional Materials from Scribble Annotations to Precise Segmentation8 Jul 2026
- 2026APRIL-MedSeg: A Modular Medical Image Segmentation Toolbox Embracing Modern Paradigms29 Jun 2026
- 2026ARTEMIS: Agent-guided Reliability-aware Temporal Mask Evolution for Imperfectly Supervised Video Polyp Segmentation18 Jun 2026
- 2026iSAGE: A Human-in-the-Loop Framework for Remote Sensing Semantic Segmentation via Sparse Point Supervision8 Jun 2026
- 2026Weakly Supervised Camouflaged Object Detection Based on the SAM Model and Mask Guidance25 May 2026
- 2026Weakly Supervised Segmentation as Semantic-Based Regularization13 May 2026
- 2026LIE: LiDAR-only HD Map Construction with Intensity Enhancement via Online Knowledge Distillation2 May 2026
- 2026Do Instance Priors Help Weakly Supervised Semantic Segmentation?13 Apr 2026
- 2026Rewis3d: Reconstruction Improves Weakly-Supervised Semantic Segmentation6 Mar 2026
- 2026SAPNet++: Evolving Point-Prompted Instance Segmentation with Semantic and Spatial Awareness25 Feb 2026
- 2025SCALER: SAM-Enhanced Collaborative Learning for Label-Deficient Concealed Object Segmentation22 Nov 2025
35 more
- 2025Segment Anything Across Shots: A Method and Benchmark17 Nov 2025
- 2025LC-SLab -- An object-based deep learning framework for large-scale land cover classification from satellite imagery and sparse in-situ labels19 Sep 2025
- 2025Deep Learning for Crack Detection: A Review of Learning Paradigms, Generalizability, and Datasets14 Aug 2025
- 2025Soft Self-labeling and Potts Relaxations for Weakly-Supervised Segmentation2 Jul 2025
- 2025Segment Concealed Objects with Incomplete Supervision10 Jun 2025
- 2025Stepwise Decomposition and Dual-stream Focus: A Novel Approach for Training-free Camouflaged Object Segmentation7 Jun 2025
- 2024Towards Real Zero-Shot Camouflaged Object Segmentation without Camouflaged Annotations22 Oct 2024
- 2024Size Aware Cross-shape Scribble Supervision for Medical Image Segmentation24 Aug 2024
- 2024Scribbles for All: Benchmarking Scribble Supervised Segmentation Across Datasets22 Aug 2024
- 2024SAM-COD: SAM-guided Unified Framework for Weakly-Supervised Camouflaged Object Detection20 Aug 2024
- 2024Learning Camouflaged Object Detection from Noisy Pseudo Label18 Jul 2024
- 2024Frozen CLIP: A Strong Backbone for Weakly Supervised Semantic Segmentation17 Jun 2024
- 2024Global High Categorical Resolution Land Cover Mapping via Weak Supervision2 Jun 2024
- 2024Competing for pixels: a self-play algorithm for weakly-supervised segmentation26 May 2024
- 2024Label-efficient Semantic Scene Completion with Scribble Annotations24 May 2024
- 2024Scribble Hides Class: Promoting Scribble-Based Weakly-Supervised Semantic Segmentation with Its Class Label27 Feb 2024
- 2024FedLPPA: Learning Personalized Prompt and Aggregation for Federated Weakly-supervised Medical Image Segmentation27 Feb 2024
- 2024ProCNS: Progressive Prototype Calibration and Noise Suppression for Weakly-Supervised Medical Image Segmentation25 Jan 2024
- 2024Self-Supervised Vision Transformers Are Efficient Segmentation Learners for Imperfect Labels23 Jan 2024
- 2023ScribbleGen: Generative Data Augmentation Improves Scribble-supervised Semantic Segmentation28 Nov 2023
- 2023Label-efficient Segmentation via Affinity Propagation16 Oct 2023
- 2023Scribble-based 3D Multiple Abdominal Organ Segmentation via Triple-branch Multi-dilated Network with Pixel- and Class-wise Consistency18 Sep 2023
- 2023Boosting Weakly-Supervised Image Segmentation via Representation, Transform, and Compensator2 Sep 2023
- 2023Point2Mask: Point-supervised Panoptic Segmentation via Optimal Transport3 Aug 2023
- 2023Land Cover Segmentation with Sparse Annotations from Sentinel-2 Imagery28 Jun 2023
- 2023Mutual Information Regularization for Weakly-supervised RGB-D Salient Object Detection6 Jun 2023
- 2023Weakly-Supervised Concealed Object Segmentation with SAM-based Pseudo Labeling and Multi-scale Feature Grouping18 May 2023
- 2023LiDAR2Map: In Defense of LiDAR-Based Semantic Map Construction Using Online Camera Distillation22 Apr 2023
- 2023Unifying and Personalizing Weakly-supervised Federated Medical Image Segmentation via Adaptive Representation and Aggregation12 Apr 2023
- 2023A Language-Guided Benchmark for Weakly Supervised Open Vocabulary Semantic Segmentation27 Feb 2023
- 2023Pixel Difference Convolutional Network for RGB-D Semantic Segmentation23 Feb 2023
- 2022SASFormer: Transformers for Sparsely Annotated Semantic Segmentation5 Dec 2022
- 2022Box2Mask: Box-supervised Instance Segmentation via Level-set Evolution3 Dec 2022
- 2022Box-supervised Instance Segmentation with Level Set Evolution19 Jul 2022
- 2022RecurSeed and EdgePredictMix: Pseudo-Label Refinement Learning for Weakly Supervised Semantic Segmentation across Single- and Multi-Stage Frameworks14 Apr 2022
- 2023Weakly-Supervised Concealed Object Segmentation with SAM-based Pseudo Labeling and Multi-scale Feature Groupingcited by 92
- 2022Box-supervised Instance Segmentation with Level Set Evolutioncited by 41
- 2023Point2Mask: Point-supervised Panoptic Segmentation via Optimal Transportcited by 23
- 2022Box2Mask: Box-supervised Instance Segmentation via Level-set Evolutioncited by 22
- 2024SAM-COD: SAM-guided Unified Framework for Weakly-Supervised Camouflaged Object Detectioncited by 22
- 2023LiDAR2Map: In Defense of LiDAR-Based Semantic Map Construction Using Online Camera Distillationcited by 18
- 2024Frozen CLIP: A Strong Backbone for Weakly Supervised Semantic Segmentationcited by 14
- 2023Pixel Difference Convolutional Network for RGB-D Semantic Segmentationcited by 13
- 2024Learning Camouflaged Object Detection from Noisy Pseudo Labelcited by 12
- 2023Mutual Information Regularization for Weakly-supervised RGB-D Salient Object Detectioncited by 9
- 2024Label-efficient Semantic Scene Completion with Scribble Annotationscited by 9
- 2023Scribble-based 3D Multiple Abdominal Organ Segmentation via Triple-branch Multi-dilated Network with Pixel- and Class-wise Consistencycited by 7
12 most cited of 46 All 46 (JSON)
- 2026A Unified Variational Framework for Deep Weakly Supervised Image Segmentation22 Jul 2026
- 2026TACoS: Weakly Supervised Learning of Two-Dimensional Materials from Scribble Annotations to Precise Segmentation8 Jul 2026
- 2026APRIL-MedSeg: A Modular Medical Image Segmentation Toolbox Embracing Modern Paradigms29 Jun 2026
- 2026ARTEMIS: Agent-guided Reliability-aware Temporal Mask Evolution for Imperfectly Supervised Video Polyp Segmentation18 Jun 2026
- 2026iSAGE: A Human-in-the-Loop Framework for Remote Sensing Semantic Segmentation via Sparse Point Supervision8 Jun 2026
- 2026Weakly Supervised Camouflaged Object Detection Based on the SAM Model and Mask Guidance25 May 2026
- 2026Weakly Supervised Segmentation as Semantic-Based Regularization13 May 2026
- 2026LIE: LiDAR-only HD Map Construction with Intensity Enhancement via Online Knowledge Distillation2 May 2026
- 2026Do Instance Priors Help Weakly Supervised Semantic Segmentation?13 Apr 2026
- 2026Rewis3d: Reconstruction Improves Weakly-Supervised Semantic Segmentation6 Mar 2026
- 2026SAPNet++: Evolving Point-Prompted Instance Segmentation with Semantic and Spatial Awareness25 Feb 2026
- 2025SCALER: SAM-Enhanced Collaborative Learning for Label-Deficient Concealed Object Segmentation22 Nov 2025
12 newest of 46 All 46 (JSON)