mlsanityData to 14 Oct 2026

Detecting Out-of-Distribution Through the Lens of Neural Collapse

arXiv 2311.01479 ↗First posted 2 Nov 2023cs.LG eess.IVcited by 34

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Abstract (arXiv)

Out-of-Distribution (OOD) detection is critical for safe deployment; however, existing detectors often struggle to generalize across datasets of varying scales and model architectures, and some can incur high computational costs in real-world applications. Inspired by the phenomenon of Neural Collapse, we propose a versatile and efficient OOD detection method. Specifically, we re-characterize prior observations that in-distribution (ID) samples form clusters, demonstrating that, with appropriate centering, these clusters align closely with model weight vectors. Additionally, we reveal that ID features tend to expand into a simplex Equiangular Tight Frame, explaining the common observation that ID features are situated farther from the origin than OOD features. Incorporating both insights from Neural Collapse, our OOD detector leverages feature proximity to weight vectors and complements this approach by using feature norms to effectively filter out OOD samples. Extensive experiments on off-the-shelf models demonstrate the robustness of our OOD detector across diverse scenarios, mitigating generalization discrepancies and enhancing overall performance, with inference latency comparable to that of the basic softmax-confidence detector. Code is available here: https://github.com/litianliu/NCI-OOD.

Key facts. Cited by 34 papers in the map (data through 14 Oct 2026). Builds on 41 of its 61 references that are in the map. First posted on arXiv 2 Nov 2023.

Builds on

41 of 61 references.

References · 41

  1. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 30,186
  2. 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 12,049
  3. 2016Densely Connected Convolutional Networkscited by 6,720
  4. 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 5,045
  5. 2018UMAP: Uniform Manifold Approximation and Projection for Dimension Reductioncited by 2,898
  6. 2020Supervised Contrastive Learningcited by 2,829
  7. 2016A Baseline for Detecting Misclassified and Out-of-Distribution Examples in Neural Networkscited by 2,385
  8. 2013Describing Textures in the Wildcited by 2,125
  9. 2018A Simple Unified Framework for Detecting Out-of-Distribution Samples and Adversarial Attackscited by 1,485
  10. 2015LSUN: Construction of a Large-scale Image Dataset using Deep Learning with Humans in the Loopcited by 1,355
  11. 2017Enhancing The Reliability of Out-of-distribution Image Detection in Neural Networkscited by 1,328
  12. 2020Energy-based Out-of-distribution Detectioncited by 1,299
29 more
  1. 2021Swin Transformer V2: Scaling Up Capacity and Resolutioncited by 1,228
  2. 2014Deep Neural Networks are Easily Fooled: High Confidence Predictions for Unrecognizable Imagescited by 776
  3. 2020Prevalence of Neural Collapse during the terminal phase of deep learning trainingcited by 719
  4. 2022Out-of-Distribution Detection with Deep Nearest Neighborscited by 600
  5. 2021ReAct: Out-of-distribution Detection With Rectified Activationscited by 486
  6. 2019Scaling Out-of-Distribution Detection for Real-World Settingscited by 465
  7. 2020CSI: Novelty Detection via Contrastive Learning on Distributionally Shifted Instancescited by 441
  8. 2020Generalized ODIN: Detecting Out-of-distribution Image without Learning from Out-of-distribution Datacited by 408
  9. 2022ViM: Out-Of-Distribution with Virtual-logit Matchingcited by 405
  10. 2021Open-Set Recognition: a Good Closed-Set Classifier is All You Need?cited by 353
  11. 2021On the Importance of Gradients for Detecting Distributional Shifts in the Wildcited by 339
  12. 2021SSD: A Unified Framework for Self-Supervised Outlier Detectioncited by 264
  13. 2022Mitigating Neural Network Overconfidence with Logit Normalizationcited by 252
  14. 2018Learning Confidence for Out-of-Distribution Detection in Neural Networkscited by 245
  15. 2021MOS: Towards Scaling Out-of-distribution Detection for Large Semantic Spacecited by 233
  16. 2021A Geometric Analysis of Neural Collapse with Unconstrained Featurescited by 227
  17. 2022Delving into Out-of-Distribution Detection with Vision-Language Representationscited by 216
  18. 2022Extremely Simple Activation Shaping for Out-of-Distribution Detectioncited by 212
  19. 2023OpenOOD v1.5: Enhanced Benchmark for Out-of-Distribution Detectioncited by 179
  20. 2021DICE: Leveraging Sparsification for Out-of-Distribution Detectioncited by 166
  21. 2015TurkerGaze: Crowdsourcing Saliency with Webcam based Eye Trackingcited by 165
  22. 2021Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Pathcited by 158
  23. 2020Neural collapse with unconstrained featurescited by 142
  24. 2023In or Out? Fixing ImageNet Out-of-Distribution Detection Evaluationcited by 134
  25. 2022On the Optimization Landscape of Neural Collapse under MSE Loss: Global Optimality with Unconstrained Featurescited by 97
  26. 2023Scaling for Training Time and Post-hoc Out-of-distribution Detection Enhancementcited by 77
  27. 2023NECO: NEural Collapse Based Out-of-distribution detectioncited by 42
  28. 2022A Law of Data Separation in Deep Learningcited by 36
  29. 2023Understanding the Feature Norm for Out-of-Distribution Detectioncited by 27

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 2; 2024: 5; 2025: 12; 2026: 15.

34 papers.

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  1. 2023Fast Decision Boundary based Out-of-Distribution Detectorcited by 49
  2. 2024Out-of-Distribution Detection: A Task-Oriented Survey of Recent Advancescited by 26
  3. 2025Enhancing Hallucination Detection through Noise Injectioncited by 13
  4. 2024Pursuing Feature Separation based on Neural Collapse for Out-of-Distribution Detectioncited by 12
  5. 2025AdaSCALE: Adaptive Scaling for OOD Detectioncited by 7
  6. 2025Revisiting Logit Distributions for Reliable Out-of-Distribution Detectioncited by 4
  7. 2025Open-Insect: Benchmarking Open-Set Recognition of Novel Species in Biodiversity Monitoringcited by 3
  8. 2024Out-of-Distribution Detection with Relative Anglescited by 2
  9. 2025GradPCA: Leveraging NTK Alignment for Reliable Out-of-Distribution Detectioncited by 2
  10. 2025Bridging Distribution Shift and AI Safety: Conceptual and Methodological Synergiescited by 2
  11. 2025Spurious-Aware Prototype Refinement for Reliable Out-of-Distribution Detectioncited by 2
  12. 2024How Out-of-Distribution Detection Learning Theory Enhances Transformer: Learnability and Reliabilitycited by 1
22 more
  1. 2024Collapsed Language Models Promote Fairnesscited by 1
  2. 2025Safeguarding AI in Medical Imaging: Post-Hoc Out-of-Distribution Detection with Normalizing Flowscited by 1
  3. 2025Membership Inference Attack with Partial Featurescited by 1
  4. 2025BootOOD: Self-Supervised Out-of-Distribution Detection via Synthetic Sample Exposure under Neural Collapsecited by 1
  5. 2025Domain Feature Collapse: Implications for Out-of-Distribution Detection and Solutionscited by 1
  6. 2026Vendi Novelty Scores for Out-of-Distribution Detectioncited by 1
  7. 2026Optimizer choice matters for the emergence of Neural Collapsecited by 1
  8. 2026MahaVar: OOD Detection via Class-wise Mahalanobis Distance Variance under Neural Collapsecited by 1
  9. 2023GROOD: GRadient-Aware Out-of-Distribution Detectioncited by 0
  10. 2025TSRE: Channel-Aware Typical Set Refinement for Out-of-Distribution Detectioncited by 0
  11. 2026DAVIS: OOD Detection via Dominant Activations and Variance for Increased Separationcited by 0
  12. 2026Catalyst: Out-of-Distribution Detection via Elastic Scalingcited by 0
  13. 2026From Out-of-Distribution Detection to Hallucination Detection: A Geometric Viewcited by 0
  14. 2026Beyond the Class Subspace: Teacher-Guided Training for Reliable Out-of-Distribution Detection in Single-Domain Modelscited by 0
  15. 2026Prototype Fusion: A Training-Free Multi-Layer Approach to OOD Detectioncited by 0
  16. 2026Uncertainty Estimation via Hyperspherical Confidence Mappingcited by 0
  17. 2026Beyond Distribution Estimation: Simplex Anchored Structural Inference Towards Universal Semi-Supervised Learningcited by 0
  18. 2026Evidence-Guided Unknown Rejection for High-Confidence Near-Known Unknownscited by 0
  19. 2026Don't Collapse Your Features: Why CenterLoss Hurts OOD Detection and Multi-Scale Mahalanobis Winscited by 0
  20. 2026Training-Free Out-of-Distribution Detection for Pathology Whole-Slide Imagescited by 0
  21. 2026Unified Multi-Layer Subspace Modeling for Cross-Domain OOD Detectioncited by 0
  22. 2026CUBE: Class-conditioned Unknown Boundary Evidence for Open-Set Insect Species Recognitioncited by 0