mlsanityData to 14 Oct 2026

A Normalized Gaussian Wasserstein Distance for Tiny Object Detection

arXiv 2110.13389 ↗First posted 26 Oct 2021cs.CVcited by 53

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Abstract (arXiv)

Detecting tiny objects is a very challenging problem since a tiny object only contains a few pixels in size. We demonstrate that state-of-the-art detectors do not produce satisfactory results on tiny objects due to the lack of appearance information. Our key observation is that Intersection over Union (IoU) based metrics such as IoU itself and its extensions are very sensitive to the location deviation of the tiny objects, and drastically deteriorate the detection performance when used in anchor-based detectors. To alleviate this, we propose a new evaluation metric using Wasserstein distance for tiny object detection. Specifically, we first model the bounding boxes as 2D Gaussian distributions and then propose a new metric dubbed Normalized Wasserstein Distance (NWD) to compute the similarity between them by their corresponding Gaussian distributions. The proposed NWD metric can be easily embedded into the assignment, non-maximum suppression, and loss function of any anchor-based detector to replace the commonly used IoU metric. We evaluate our metric on a new dataset for tiny object detection (AI-TOD) in which the average object size is much smaller than existing object detection datasets. Extensive experiments show that, when equipped with NWD metric, our approach yields performance that is 6.7 AP points higher than a standard fine-tuning baseline, and 6.0 AP points higher than state-of-the-art competitors. Codes are available at: https://github.com/jwwangchn/NWD.

Key facts. Cited by 53 papers in the map (data through 14 Oct 2026). Builds on 31 of its 40 references that are in the map. First posted on arXiv 26 Oct 2021.

Builds on

31 of 40 references.

References · 31

  1. 2015Deep Residual Learning for Image Recognitioncited by 52,096
  2. 2014Microsoft COCO: Common Objects in Contextcited by 17,608
  3. 2015Faster R-CNN: Towards Real-Time Object Detection with Region Proposal Networkscited by 9,639
  4. 2014ImageNet Large Scale Visual Recognition Challengecited by 8,498
  5. 2016Feature Pyramid Networks for Object Detectioncited by 5,036
  6. 2015SSD: Single Shot MultiBox Detectorcited by 3,130
  7. 2015Fast R-CNNcited by 2,933
  8. 2019FCOS: Fully Convolutional One-Stage Object Detectioncited by 1,577
  9. 2019MMDetection: Open MMLab Detection Toolbox and Benchmarkcited by 1,385
  10. 2019Generalized Intersection over Union: A Metric and A Loss for Bounding Box Regressioncited by 1,368
  11. 2017Cascade R-CNN: Delving into High Quality Object Detectioncited by 1,276
  12. 2019Objects as Pointscited by 1,175
19 more
  1. 2019EfficientDet: Scalable and Efficient Object Detectioncited by 1,020
  2. 2018Path Aggregation Network for Instance Segmentationcited by 798
  3. 2017Focal Loss for Dense Object Detectioncited by 752
  4. 2017DOTA: A Large-scale Dataset for Object Detection in Aerial Imagescited by 623
  5. 2019Bridging the Gap Between Anchor-based and Anchor-free Detection via Adaptive Training Sample Selectioncited by 540
  6. 2019Distance-IoU Loss: Faster and Better Learning for Bounding Box Regressioncited by 459
  7. 2019RepPoints: Point Set Representation for Object Detectioncited by 264
  8. 2020DetectoRS: Detecting Objects with Recursive Feature Pyramid and Switchable Atrous Convolutioncited by 222
  9. 2016UnitBox: An Advanced Object Detection Networkcited by 205
  10. 2021OTA: Optimal Transport Assignment for Object Detectioncited by 178
  11. 2019Scale-Aware Trident Networks for Object Detectioncited by 159
  12. 2021Rethinking Rotated Object Detection with Gaussian Wasserstein Distance Losscited by 156
  13. 2020Probabilistic Anchor Assignment with IoU Prediction for Object Detectioncited by 150
  14. 2017An Analysis of Scale Invariance in Object Detection - SNIPcited by 120
  15. 2018SNIPER: Efficient Multi-Scale Trainingcited by 88
  16. 2017Perceptual Generative Adversarial Networks for Small Object Detectioncited by 76
  17. 2018M2Det: A Single-Shot Object Detector based on Multi-Level Feature Pyramid Networkcited by 76
  18. 2019Scale Match for Tiny Person Detectioncited by 61
  19. 2018SAN: Learning Relationship between Convolutional Features for Multi-Scale Object Detectioncited by 9

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 6; 2023: 4; 2024: 14; 2025: 15; 2026: 14.

53 papers.

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  1. 2022Towards Large-Scale Small Object Detection: Survey and Benchmarkscited by 122
  2. 2022RFLA: Gaussian Receptive Field based Label Assignment for Tiny Object Detectioncited by 51
  3. 2024Pinwheel-shaped Convolution and Scale-based Dynamic Loss for Infrared Small Target Detectioncited by 34
  4. 2024DQ-DETR: DETR with Dynamic Query for Tiny Object Detectioncited by 28
  5. 2024Visible-Thermal Tiny Object Detection: A Benchmark Dataset and Baselinescited by 27
  6. 2022Learning Spatial-Frequency Transformer for Visual Object Trackingcited by 18
  7. 2022YOLO-FaceV2: A Scale and Occlusion Aware Face Detectorcited by 15
  8. 2023EFLNet: Enhancing Feature Learning for Infrared Small Target Detectioncited by 15
  9. 2023Transformers in Small Object Detection: A Benchmark and Survey of State-of-the-Artcited by 15
  10. 2022A Guide to Image and Video based Small Object Detection using Deep Learning : Case Study of Maritime Surveillancecited by 14
  11. 2024A DeNoising FPN With Transformer R-CNN for Tiny Object Detectioncited by 12
  12. 2023MVA2023 Small Object Detection Challenge for Spotting Birds: Dataset, Methods, and Resultscited by 8
38 more
  1. 2024VOOM: Robust Visual Object Odometry and Mapping using Hierarchical Landmarkscited by 6
  2. 2025Dome-DETR: DETR with Density-Oriented Feature-Query Manipulation for Efficient Tiny Object Detectioncited by 6
  3. 2024Similarity Distance-Based Label Assignment for Tiny Object Detectioncited by 5
  4. 2024XS-VID: A Large-Scale Benchmark for Small Object Detection and Tracking in Videoscited by 3
  5. 2024Oriented Tiny Object Detection: A Dataset, Benchmark, and Dynamic Unbiased Learningcited by 3
  6. 2025Open-Vocabulary Object Detection in UAV Imagery: A Review and Future Perspectivescited by 3
  7. 2026TimeLens2: Generalist Video Temporal Grounding with Multimodal LLMscited by 3
  8. 2025TY-RIST: Tactical YOLO Tricks for Real-time Infrared Small Target Detectioncited by 2
  9. 2022Learning High-quality Proposals for Acne Detectioncited by 1
  10. 2024DREB-Net: Dual-stream Restoration Embedding Blur-feature Fusion Network for High-mobility UAV Object Detectioncited by 1
  11. 2024PK-YOLO: Pretrained Knowledge Guided YOLO for Brain Tumor Detection in Multiplanar MRI Slicescited by 1
  12. 2024Machine Theory of Mind for Autonomous Cyber-Defencecited by 1
  13. 2025Task-based Loss Functions in Computer Vision: A Comprehensive Reviewcited by 1
  14. 2025Cross-DINO: Cross the Deep MLP and Transformer for Small Object Detectioncited by 1
  15. 2025MSG-Loc: Multi-Label Likelihood-based Semantic Graph Matching for Object-Level Global Localizationcited by 1
  16. 2026SparseVoxelDet: Fully Sparse Voxel Networks for Efficient Event-Based Drone Detectioncited by 1
  17. 2023Metric-aligned Sample Selection and Critical Feature Sampling for Oriented Object Detectioncited by 0
  18. 2024SCAResNet: A ResNet Variant Optimized for Tiny Object Detection in Transmission and Distribution Towerscited by 0
  19. 2024InfRS: Incremental Few-Shot Object Detection in Remote Sensing Imagescited by 0
  20. 2024Better Sampling, towards Better End-to-end Small Object Detectioncited by 0
  21. 2025A lightweight model FDM-YOLO for small target improvement based on YOLOv8cited by 0
  22. 2025DEAL-YOLO: Drone-based Efficient Animal Localization using YOLOcited by 0
  23. 2025Purifying, Labeling, and Utilizing: A High-Quality Pipeline for Small Object Detectioncited by 0
  24. 2025CEM-FBGTinyDet: Context-Enhanced Foreground Balance with Gradient Tuning for tiny Objectscited by 0
  25. 2025Revisiting DETR for Small Object Detection via Noise-Resilient Query Optimizationcited by 0
  26. 2025SBP-YOLO:A Lightweight Real-Time Model for Detecting Speed Bumps and Potholes toward Intelligent Vehicle Suspension Systemscited by 0
  27. 2025Inter-Class Relational Loss for Small Object Detection: A Case Study on License Platescited by 0
  28. 2025SMTrack: End-to-End Trained Spiking Neural Networks for Multi-Object Tracking in RGB Videoscited by 0
  29. 2025Interaction-via-Actions: Cattle Interaction Detection with Joint Learning of Action-Interaction Latent Spacecited by 0
  30. 2026Noise-Robust Tiny Object Localization with Flowscited by 0
  31. 2026RFAssigner: A Generic Label Assignment Strategy for Dense Object Detectioncited by 0
  32. 2026SME-YOLO: A Real-Time Detector for Tiny Defect Detection on PCB Surfacescited by 0
  33. 2026SPMamba-YOLO: An Underwater Object Detection Network Based on Multi-Scale Feature Enhancement and Global Context Modelingcited by 0
  34. 2026RSTNet: Enhancing Small-Target Recognition in Noisy SAR Imagery via Robust Feature Learning and Distribution-Aware Regressioncited by 0
  35. 2026Telescope: Learnable Hyperbolic Foveation for Ultra-Long-Range Object Detectioncited by 0
  36. 2026Adaptive Slicing-Assisted Hyper Inference for Enhanced Small Object Detection in High-Resolution Imagerycited by 0
  37. 2026ICME 2026 Grand Challenge on Cross-Scenario Defect Detection and Fine-Grained Severity Grading for High-Precision Manufacturingcited by 0
  38. 2026MITE-Net: SWaP-Optimized 4K Video Tiny Target Perception for Embodied Edge SARcited by 0

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