mlsanityData to 7 Oct 2026

Entropy Maximization and Meta Classification for Out-Of-Distribution Detection in Semantic Segmentation

arXiv 2012.06575 ↗First posted 9 Dec 2020cs.CV cs.LGcited by 133

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Abstract (arXiv)

Deep neural networks (DNNs) for the semantic segmentation of images are usually trained to operate on a predefined closed set of object classes. This is in contrast to the "open world" setting where DNNs are envisioned to be deployed to. From a functional safety point of view, the ability to detect so-called "out-of-distribution" (OoD) samples, i.e., objects outside of a DNN's semantic space, is crucial for many applications such as automated driving. A natural baseline approach to OoD detection is to threshold on the pixel-wise softmax entropy. We present a two-step procedure that significantly improves that approach. Firstly, we utilize samples from the COCO dataset as OoD proxy and introduce a second training objective to maximize the softmax entropy on these samples. Starting from pretrained semantic segmentation networks we re-train a number of DNNs on different in-distribution datasets and consistently observe improved OoD detection performance when evaluating on completely disjoint OoD datasets. Secondly, we perform a transparent post-processing step to discard false positive OoD samples by so-called "meta classification". To this end, we apply linear models to a set of hand-crafted metrics derived from the DNN's softmax probabilities. In our experiments we consistently observe a clear additional gain in OoD detection performance, cutting down the number of detection errors by up to 52% when comparing the best baseline with our results. We achieve this improvement sacrificing only marginally in original segmentation performance. Therefore, our method contributes to safer DNNs with more reliable overall system performance.

Key facts. Cited by 133 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 Dec 2020.

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Citing papers per year: 2021: 6; 2022: 21; 2023: 29; 2024: 27; 2025: 28; 2026: 22.

133 papers.

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  1. 2021SegmentMeIfYouCan: A Benchmark for Anomaly Segmentationcited by 150
  2. 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Modelscited by 87
  3. 2021Pixel-wise Energy-biased Abstention Learning for Anomaly Segmentation on Complex Urban Driving Scenescited by 83
  4. 2021Standardized Max Logits: A Simple yet Effective Approach for Identifying Unexpected Road Obstacles in Urban-Scene Segmentationcited by 77
  5. 2022RbA: Segmenting Unknown Regions Rejected by Allcited by 67
  6. 2023Nearest Neighbor Guidance for Out-of-Distribution Detectioncited by 64
  7. 2022Residual Pattern Learning for Pixel-wise Out-of-Distribution Detection in Semantic Segmentationcited by 55
  8. 2023Unmasking Anomalies in Road-Scene Segmentationcited by 45
  9. 2022DenseHybrid: Hybrid Anomaly Detection for Dense Open-set Recognitioncited by 42
  10. 2023On Advantages of Mask-level Recognition for Outlier-aware Segmentationcited by 42
  11. 2023Maskomaly:Zero-Shot Mask Anomaly Segmentationcited by 34
  12. 2024Outlier detection by ensembling uncertainty with negative objectnesscited by 34
38 more
  1. 2021An Application-Driven Conceptualization of Corner Cases for Perception in Highly Automated Drivingcited by 33
  2. 2024Open-World Semantic Segmentation Including Class Similaritycited by 22
  3. 2023Segment Every Out-of-Distribution Objectcited by 21
  4. 2024PixOOD: Pixel-Level Out-of-Distribution Detectioncited by 20
  5. 2022Two Video Data Sets for Tracking and Retrieval of Out of Distribution Objectscited by 19
  6. 2024Conformal Semantic Image Segmentation: Post-hoc Quantification of Predictive Uncertaintycited by 19
  7. 2023Mask2Anomaly: Mask Transformer for Universal Open-set Segmentationcited by 18
  8. 2023Balanced Energy Regularization Loss for Out-of-distribution Detectioncited by 16
  9. 2024MetaOOD: Automatic Selection of OOD Detection Modelscited by 16
  10. 2022Far Away in the Deep Space: Dense Nearest-Neighbor-Based Out-of-Distribution Detectioncited by 15
  11. 2023UGainS: Uncertainty Guided Anomaly Instance Segmentationcited by 15
  12. 2023CSL: Class-Agnostic Structure-Constrained Learning for Segmentation Including the Unseencited by 15
  13. 2023Learning to Prompt Knowledge Transfer for Open-World Continual Learningcited by 15
  14. 2023ATTA: Anomaly-aware Test-Time Adaptation for Out-of-Distribution Detection in Segmentationcited by 14
  15. 2024AnoVox: A Benchmark for Multimodal Anomaly Detection in Autonomous Drivingcited by 14
  16. 2022Towards Unsupervised Open World Semantic Segmentationcited by 13
  17. 2023Panoptic Out-of-Distribution Segmentationcited by 13
  18. 2025Out-of-Distribution Segmentation in Autonomous Driving: Problems and State of the Artcited by 13
  19. 2023Estimating label quality and errors in semantic segmentation data via any modelcited by 12
  20. 2024Placing Objects in Context via Inpainting for Out-of-distribution Segmentationcited by 12
  21. 2024A Likelihood Ratio-Based Approach to Segmenting Unknown Objectscited by 12
  22. 2023Pixel-wise Gradient Uncertainty for Convolutional Neural Networks applied to Out-of-Distribution Segmentationcited by 11
  23. 2021Dense Out-of-Distribution Detection by Robust Learning on Synthetic Negative Datacited by 10
  24. 2024EPA: Neural Collapse Inspired Robust Out-of-Distribution Detectorcited by 10
  25. 2025Spotting the Unexpected (STU): A 3D LiDAR Dataset for Anomaly Segmentation in Autonomous Drivingcited by 10
  26. 2023Have We Ever Encountered This Before? Retrieving Out-of-Distribution Road Obstacles from Driving Scenescited by 9
  27. 2024Diffusion for Out-of-Distribution Detection on Road Scenes and Beyondcited by 9
  28. 2025Revisiting Kernel Attention with Correlated Gaussian Process Representationcited by 9
  29. 2022Dual Decision Improves Open-Set Panoptic Segmentationcited by 8
  30. 2023Hybrid Open-set Segmentation with Synthetic Negative Datacited by 8
  31. 2023Unlocking the Power of Open Set : A New Perspective for Open-Set Noisy Label Learningcited by 8
  32. 2023Concurrent Misclassification and Out-of-Distribution Detection for Semantic Segmentation via Energy-Based Normalizing Flowcited by 8
  33. 2024OoDIS: Anomaly Instance Segmentation and Detection Benchmarkcited by 8
  34. 2022GOSS: Towards Generalized Open-set Semantic Segmentationcited by 7
  35. 2022Region-Aware Metric Learning for Open World Semantic Segmentation via Meta-Channel Aggregationcited by 7
  36. 2022Automatic universal taxonomies for multi-domain semantic segmentationcited by 7
  37. 2023Out-of-Distribution Detection for Monocular Depth Estimationcited by 7
  38. 2025Prior2Former -- Evidential Modeling of Mask Transformers for Assumption-Free Open-World Panoptic Segmentationcited by 7

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