Entropy Maximization and Meta Classification for Out-Of-Distribution Detection in Semantic Segmentation
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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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- 2021SegmentMeIfYouCan: A Benchmark for Anomaly Segmentationcited by 150
- 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Modelscited by 87
- 2021Pixel-wise Energy-biased Abstention Learning for Anomaly Segmentation on Complex Urban Driving Scenescited by 83
- 2021Standardized Max Logits: A Simple yet Effective Approach for Identifying Unexpected Road Obstacles in Urban-Scene Segmentationcited by 77
- 2022RbA: Segmenting Unknown Regions Rejected by Allcited by 67
- 2023Nearest Neighbor Guidance for Out-of-Distribution Detectioncited by 64
- 2022Residual Pattern Learning for Pixel-wise Out-of-Distribution Detection in Semantic Segmentationcited by 55
- 2023Unmasking Anomalies in Road-Scene Segmentationcited by 45
- 2022DenseHybrid: Hybrid Anomaly Detection for Dense Open-set Recognitioncited by 42
- 2023On Advantages of Mask-level Recognition for Outlier-aware Segmentationcited by 42
- 2023Maskomaly:Zero-Shot Mask Anomaly Segmentationcited by 34
- 2024Outlier detection by ensembling uncertainty with negative objectnesscited by 34
38 more
- 2021An Application-Driven Conceptualization of Corner Cases for Perception in Highly Automated Drivingcited by 33
- 2024Open-World Semantic Segmentation Including Class Similaritycited by 22
- 2023Segment Every Out-of-Distribution Objectcited by 21
- 2024PixOOD: Pixel-Level Out-of-Distribution Detectioncited by 20
- 2022Two Video Data Sets for Tracking and Retrieval of Out of Distribution Objectscited by 19
- 2024Conformal Semantic Image Segmentation: Post-hoc Quantification of Predictive Uncertaintycited by 19
- 2023Mask2Anomaly: Mask Transformer for Universal Open-set Segmentationcited by 18
- 2023Balanced Energy Regularization Loss for Out-of-distribution Detectioncited by 16
- 2024MetaOOD: Automatic Selection of OOD Detection Modelscited by 16
- 2022Far Away in the Deep Space: Dense Nearest-Neighbor-Based Out-of-Distribution Detectioncited by 15
- 2023UGainS: Uncertainty Guided Anomaly Instance Segmentationcited by 15
- 2023CSL: Class-Agnostic Structure-Constrained Learning for Segmentation Including the Unseencited by 15
- 2023Learning to Prompt Knowledge Transfer for Open-World Continual Learningcited by 15
- 2023ATTA: Anomaly-aware Test-Time Adaptation for Out-of-Distribution Detection in Segmentationcited by 14
- 2024AnoVox: A Benchmark for Multimodal Anomaly Detection in Autonomous Drivingcited by 14
- 2022Towards Unsupervised Open World Semantic Segmentationcited by 13
- 2023Panoptic Out-of-Distribution Segmentationcited by 13
- 2025Out-of-Distribution Segmentation in Autonomous Driving: Problems and State of the Artcited by 13
- 2023Estimating label quality and errors in semantic segmentation data via any modelcited by 12
- 2024Placing Objects in Context via Inpainting for Out-of-distribution Segmentationcited by 12
- 2024A Likelihood Ratio-Based Approach to Segmenting Unknown Objectscited by 12
- 2023Pixel-wise Gradient Uncertainty for Convolutional Neural Networks applied to Out-of-Distribution Segmentationcited by 11
- 2021Dense Out-of-Distribution Detection by Robust Learning on Synthetic Negative Datacited by 10
- 2024EPA: Neural Collapse Inspired Robust Out-of-Distribution Detectorcited by 10
- 2025Spotting the Unexpected (STU): A 3D LiDAR Dataset for Anomaly Segmentation in Autonomous Drivingcited by 10
- 2023Have We Ever Encountered This Before? Retrieving Out-of-Distribution Road Obstacles from Driving Scenescited by 9
- 2024Diffusion for Out-of-Distribution Detection on Road Scenes and Beyondcited by 9
- 2025Revisiting Kernel Attention with Correlated Gaussian Process Representationcited by 9
- 2022Dual Decision Improves Open-Set Panoptic Segmentationcited by 8
- 2023Hybrid Open-set Segmentation with Synthetic Negative Datacited by 8
- 2023Unlocking the Power of Open Set : A New Perspective for Open-Set Noisy Label Learningcited by 8
- 2023Concurrent Misclassification and Out-of-Distribution Detection for Semantic Segmentation via Energy-Based Normalizing Flowcited by 8
- 2024OoDIS: Anomaly Instance Segmentation and Detection Benchmarkcited by 8
- 2022GOSS: Towards Generalized Open-set Semantic Segmentationcited by 7
- 2022Region-Aware Metric Learning for Open World Semantic Segmentation via Meta-Channel Aggregationcited by 7
- 2022Automatic universal taxonomies for multi-domain semantic segmentationcited by 7
- 2023Out-of-Distribution Detection for Monocular Depth Estimationcited by 7
- 2025Prior2Former -- Evidential Modeling of Mask Transformers for Assumption-Free Open-World Panoptic Segmentationcited by 7
50 most cited of 133 All 133 (JSON)
- 2026SAFe: Segment-guided Aggregation of Feature Densities for Anomaly-aware Segmentation21 Sep 2026
- 2026Combining Foundation Model Confidence and Monocular Depth for Training-Free Out-of-Distribution Segmentation19 Sep 2026
- 2026CODE: Cross-Modal Calibration and Dynamic Suppression for Open World Object Detection27 Aug 2026
- 2026VOLA: Improving Open-World Driving by VLM-Based Semantic Attribute Prediction12 Aug 2026
- 2026Open-World Semantic Segmentation with Sensitivity Modeling8 Aug 2026
- 2026Free-Lunch Augmentation by Revisiting Diffusion-Based Data Generation for Cross-Domain Few-Shot Object Detection5 Aug 2026
- 2026Detecting Pose Estimation Failures via Keypoint Self-Consistency4 Aug 2026
- 2026LARAD: Layout-Aware Road Anomaly Detection via Spatial-Logic Reasoning14 Jul 2026
- 2026Road-Aware Anomaly Segmentation with Query-Guided Polygons and CLIP in Autonomous Driving5 Jul 2026
- 2026Energy-Aware NECO for Single-Pass Pixel-wise Out-of-Distribution Detection in Semantic Segmentation28 May 2026
- 2026Trinity: Unifying Class-Agnostic Terrain and Semantic Segmentation for Unstructured Outdoor Environments by Leveraging Synthetic Data26 May 2026
- 2026Learning to Identify Out-of-Distribution Objects for 3D LiDAR Anomaly Segmentation26 Apr 2026
38 more
- 2026Neural Distribution Prior for LiDAR Out-of-Distribution Detection10 Apr 2026
- 2026DBMF: A Dual-Branch Multimodal Framework for Out-of-Distribution Detection9 Apr 2026
- 2026Mitigating the ID-OOD Tradeoff in Open-Set Test-Time Adaptation2 Apr 2026
- 2026ProOOD: Prototype-Guided Out-of-Distribution 3D Occupancy Prediction1 Apr 2026
- 2026MAND: Modality-Aware Novelty Detection for Open-World Egocentric Activity Recognition17 Mar 2026
- 2026Out-of-Distribution Object Detection in Street Scenes via Synthetic Outlier Exposure and Transfer Learning17 Mar 2026
- 2026Adaptive Confidence Regularization for Multimodal Failure Detection2 Mar 2026
- 2026Vision-Language Feature Alignment for Road Anomaly Segmentation1 Mar 2026
- 2026Diffusion-Inspired Reconfiguration of Transformers for Uncertainty Calibration9 Feb 2026
- 2026OOVDet: Low-Density Prior Learning for Zero-Shot Out-of-Vocabulary Object Detection30 Jan 2026
- 2025DynaPURLS: Dynamic Refinement of Part-Aware Representations for Skeleton-Based Zero-Shot Action Recognition12 Dec 2025
- 2025ClimaOoD: Improving Anomaly Segmentation via Physically Realistic Synthetic Data2 Dec 2025
- 2025SupLID: Geometrical Guidance for Out-of-Distribution Detection in Semantic Segmentation24 Nov 2025
- 2025Relative Energy Learning for LiDAR Out-of-Distribution Detection10 Nov 2025
- 2025Frustratingly Easy Feature Reconstruction for Out-of-Distribution Detection2 Sep 2025
- 2025RS-OOD: A Vision-Language Augmented Framework for Out-of-Distribution Detection in Remote Sensing2 Sep 2025
- 2025Activation Subspaces for Out-of-Distribution Detection29 Aug 2025
- 2025Sharpness-Aware Geometric Defense for Robust Out-Of-Distribution Detection24 Aug 2025
- 2025From Pixel to Mask: A Survey of Out-of-Distribution Segmentation14 Aug 2025
- 2025Uncertainty-Aware Likelihood Ratio Estimation for Pixel-Wise Out-of-Distribution Detection1 Aug 2025
- 2025CoT-Segmenter: Enhancing OOD Detection in Dense Road Scenes via Chain-of-Thought Reasoning5 Jul 2025
- 2025OoDDINO:A Multi-level Framework for Anomaly Segmentation on Complex Road Scenes2 Jul 2025
- 2025Out-of-Distribution Semantic Occupancy Prediction26 Jun 2025
- 2025NERO: Explainable Out-of-Distribution Detection with Neuron-level Relevance18 Jun 2025
- 2025To Trust Or Not To Trust Your Vision-Language Model's Prediction29 May 2025
- 2025Anomalies by Synthesis: Anomaly Detection using Generative Diffusion Models for Off-Road Navigation28 May 2025
- 2025Panoramic Out-of-Distribution Segmentation6 May 2025
- 2025Spotting the Unexpected (STU): A 3D LiDAR Dataset for Anomaly Segmentation in Autonomous Driving4 May 2025
- 2025Open-set Anomaly Segmentation in Complex Scenarios28 Apr 2025
- 2025Segmenting Objectiveness and Task-awareness Unknown Region for Autonomous Driving27 Apr 2025
- 2025Prior2Former -- Evidential Modeling of Mask Transformers for Assumption-Free Open-World Panoptic Segmentation7 Apr 2025
- 2025Out-of-Distribution Segmentation in Autonomous Driving: Problems and State of the Art4 Mar 2025
- 2025Improving Open-world Continual Learning under the Constraints of Scarce Labeled Data28 Feb 2025
- 2025Finer Disentanglement of Aleatoric Uncertainty Can Accelerate Chemical Histopathology Imaging27 Feb 2025
- 2025Revisiting Kernel Attention with Correlated Gaussian Process Representation27 Feb 2025
- 2025Exploring Open-world Continual Learning with Knowns-Unknowns Knowledge Transfer27 Feb 2025
- 2025HOpenCls: Training Hyperspectral Image Open-Set Classifiers in Their Living Environments21 Feb 2025
- 2025Benchmarking Vision Foundation Models for Input Monitoring in Autonomous Driving14 Jan 2025
50 newest of 133 All 133 (JSON)
- 2021SegmentMeIfYouCan: A Benchmark for Anomaly Segmentationcited by 150
- 2022GMMSeg: Gaussian Mixture based Generative Semantic Segmentation Modelscited by 87
- 2021Pixel-wise Energy-biased Abstention Learning for Anomaly Segmentation on Complex Urban Driving Scenescited by 83
- 2021Standardized Max Logits: A Simple yet Effective Approach for Identifying Unexpected Road Obstacles in Urban-Scene Segmentationcited by 77
- 2022RbA: Segmenting Unknown Regions Rejected by Allcited by 67
- 2023Nearest Neighbor Guidance for Out-of-Distribution Detectioncited by 64
- 2022Residual Pattern Learning for Pixel-wise Out-of-Distribution Detection in Semantic Segmentationcited by 55
- 2023Unmasking Anomalies in Road-Scene Segmentationcited by 45
- 2022DenseHybrid: Hybrid Anomaly Detection for Dense Open-set Recognitioncited by 42
- 2023On Advantages of Mask-level Recognition for Outlier-aware Segmentationcited by 42
- 2023Maskomaly:Zero-Shot Mask Anomaly Segmentationcited by 34
- 2024Outlier detection by ensembling uncertainty with negative objectnesscited by 34
12 most cited of 126 All 126 (JSON)
- 2026SAFe: Segment-guided Aggregation of Feature Densities for Anomaly-aware Segmentation21 Sep 2026
- 2026Combining Foundation Model Confidence and Monocular Depth for Training-Free Out-of-Distribution Segmentation19 Sep 2026
- 2026CODE: Cross-Modal Calibration and Dynamic Suppression for Open World Object Detection27 Aug 2026
- 2026Open-World Semantic Segmentation with Sensitivity Modeling8 Aug 2026
- 2026Detecting Pose Estimation Failures via Keypoint Self-Consistency4 Aug 2026
- 2026LARAD: Layout-Aware Road Anomaly Detection via Spatial-Logic Reasoning14 Jul 2026
- 2026Road-Aware Anomaly Segmentation with Query-Guided Polygons and CLIP in Autonomous Driving5 Jul 2026
- 2026Energy-Aware NECO for Single-Pass Pixel-wise Out-of-Distribution Detection in Semantic Segmentation28 May 2026
- 2026Trinity: Unifying Class-Agnostic Terrain and Semantic Segmentation for Unstructured Outdoor Environments by Leveraging Synthetic Data26 May 2026
- 2026Learning to Identify Out-of-Distribution Objects for 3D LiDAR Anomaly Segmentation26 Apr 2026
- 2026Neural Distribution Prior for LiDAR Out-of-Distribution Detection10 Apr 2026
- 2026DBMF: A Dual-Branch Multimodal Framework for Out-of-Distribution Detection9 Apr 2026
12 newest of 126 All 126 (JSON)