MOOD: Multi-level Out-of-distribution Detection
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Abstract (arXiv)
Out-of-distribution (OOD) detection is essential to prevent anomalous inputs from causing a model to fail during deployment. While improved OOD detection methods have emerged, they often rely on the final layer outputs and require a full feedforward pass for any given input. In this paper, we propose a novel framework, multi-level out-of-distribution detection MOOD, which exploits intermediate classifier outputs for dynamic and efficient OOD inference. We explore and establish a direct relationship between the OOD data complexity and optimal exit level, and show that easy OOD examples can be effectively detected early without propagating to deeper layers. At each exit, the OOD examples can be distinguished through our proposed adjusted energy score, which is both empirically and theoretically suitable for networks with multiple classifiers. We extensively evaluate MOOD across 10 OOD datasets spanning a wide range of complexities. Experiments demonstrate that MOOD achieves up to 71.05% computational reduction in inference, while maintaining competitive OOD detection performance.
Key facts. Cited by 94 papers in the map (data through 7 Oct 2026). Builds on 35 of its 56 references that are in the map. First posted on arXiv 30 Apr 2021.
Builds on
35 of 56 references.
References · 35
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- 2018Deep Anomaly Detection with Outlier Exposurecited by 939
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23 more
- 2016Adaptive Computation Time for Recurrent Neural Networkscited by 479
- 2019Likelihood Ratios for Out-of-Distribution Detectioncited by 451
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Citing papers per year: 2021: 10; 2022: 21; 2023: 27; 2024: 17; 2025: 9; 2026: 10.
94 papers.
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- 2021Generalized Out-of-Distribution Detection: A Surveycited by 796
- 2022Out-of-Distribution Detection with Deep Nearest Neighborscited by 596
- 2021On the Importance of Gradients for Detecting Distributional Shifts in the Wildcited by 338
- 2021MOS: Towards Scaling Out-of-distribution Detection for Large Semantic Spacecited by 233
- 2021DICE: Leveraging Sparsification for Out-of-Distribution Detectioncited by 166
- 2021A Unified Survey on Anomaly, Novelty, Open-Set, and Out-of-Distribution Detection: Solutions and Future Challengescited by 154
- 2022Is Out-of-Distribution Detection Learnable?cited by 109
- 2022POEM: Out-of-Distribution Detection with Posterior Samplingcited by 108
- 2022Catching Both Gray and Black Swans: Open-set Supervised Anomaly Detectioncited by 104
- 2021Can multi-label classification networks know what they don't know?cited by 100
- 2021On the Impact of Spurious Correlation for Out-of-distribution Detectioncited by 68
- 2023Diversified Outlier Exposure for Out-of-Distribution Detection via Informative Extrapolationcited by 38
38 more
- 2023Learning to Augment Distributions for Out-of-Distribution Detectioncited by 38
- 2024Generalized Out-of-Distribution Detection and Beyond in Vision Language Model Era: A Surveycited by 36
- 2023LINe: Out-of-Distribution Detection by Leveraging Important Neuronscited by 34
- 2022OpenCon: Open-world Contrastive Learningcited by 33
- 2022Block Selection Method for Using Feature Norm in Out-of-distribution Detectioncited by 30
- 2023Improving Selective Visual Question Answering by Learning from Your Peerscited by 24
- 2022Out-of-Distribution Detection with Semantic Mismatch under Maskingcited by 22
- 2023GradOrth: A Simple yet Efficient Out-of-Distribution Detection with Orthogonal Projection of Gradientscited by 21
- 2022Concept-based Explanations for Out-Of-Distribution Detectorscited by 16
- 2023Normalizing Flow based Feature Synthesis for Outlier-Aware Object Detectioncited by 16
- 2023Unleashing Mask: Explore the Intrinsic Out-of-Distribution Detection Capabilitycited by 16
- 2023Unsupervised Layer-wise Score Aggregation for Textual OOD Detectioncited by 15
- 2023Window-Based Early-Exit Cascades for Uncertainty Estimation: When Deep Ensembles are More Efficient than Single Modelscited by 15
- 2023How Good Are LLMs at Out-of-Distribution Detection?cited by 15
- 2025GOLD: Graph Out-of-Distribution Detection via Implicit Adversarial Latent Generationcited by 15
- 2021Hyperdimensional Feature Fusion for Out-Of-Distribution Detectioncited by 13
- 2024Gradient-Regularized Out-of-Distribution Detectioncited by 13
- 2024STAMP: Outlier-Aware Test-Time Adaptation with Stable Memory Replaycited by 13
- 2023AUTO: Adaptive Outlier Optimization for Test-Time OOD Detectioncited by 12
- 2021Label-Free Model Evaluation with Semi-Structured Dataset Representationscited by 10
- 2023Meta OOD Learning for Continuously Adaptive OOD Detectioncited by 10
- 2022Heatmap-based Out-of-Distribution Detectioncited by 9
- 2023Adaptive Deep Neural Network Inference Optimization with EENetcited by 9
- 2022Boosting Out-of-Distribution Detection with Multiple Pre-trained Modelscited by 7
- 2024A Layer Selection Approach to Test Time Adaptationcited by 7
- 2022READ: Aggregating Reconstruction Error into Out-of-distribution Detectioncited by 6
- 2022A Novel Data Augmentation Technique for Out-of-Distribution Sample Detection using Compounded Corruptionscited by 6
- 2024CLIP-driven Outliers Synthesis for few-shot OOD detectioncited by 6
- 2024Out-Of-Distribution Detection with Diversification (Provably)cited by 6
- 2025Mysteries of the Deep: Role of Intermediate Representations in Out of Distribution Detectioncited by 6
- 2023DeepLens: Interactive Out-of-distribution Data Detection in NLP Modelscited by 5
- 2023Classifier-head Informed Feature Masking and Prototype-based Logit Smoothing for Out-of-Distribution Detectioncited by 5
- 2022Understanding the Robustness of Multi-Exit Models under Common Corruptionscited by 4
- 2023Multiobjective Evolutionary Pruning of Deep Neural Networks with Transfer Learning for improving their Performance and Robustnesscited by 4
- 2023Toward Auto-evaluation with Confidence-based Category Relation-aware Regressioncited by 4
- 2025Understanding Knowledge Transferability for Transfer Learning: A Surveycited by 4
- 2025Knowledge Regularized Negative Feature Tuning of Vision-Language Models for Out-of-Distribution Detectioncited by 4
- 2025BOOD: Boundary-based Out-Of-Distribution Data Generationcited by 4
50 most cited of 94 All 94 (JSON)
- 2026Not All Layers Are Equal: Dynamic Layer Routing for Reliable CLIP OOD Detection30 Jul 2026
- 2026MM++: Post-Hoc Scale-Invariant Multilayer OOD Detection via Top-K Gated Feature Fusion15 Jun 2026
- 2026Dual Feature Decoupling for Fine-Grained OOD Detection4 Jun 2026
- 2026What Information Matters? Graph Out-of-Distribution Detection via Tri-Component Information Decomposition13 May 2026
- 2026Component-Based Out-of-Distribution Detection23 Apr 2026
- 2026Halt the Hallucination: Decoupling Signal and Semantic OOD Detection Based on Cascaded Early Rejection6 Feb 2026
- 2026COMBOOD: A Semiparametric Approach for Detecting Out-of-distribution Data for Image Classification4 Feb 2026
- 2026Catalyst: Out-of-Distribution Detection via Elastic Scaling2 Feb 2026
- 2026Vision Also You Need: Navigating Out-of-Distribution Detection with Multimodal Large Language Model20 Jan 2026
- 2026One Model, Many Behaviors: Training-Induced Effects on Out-of-Distribution Detection15 Jan 2026
- 2025Predictive Sample Assignment for Semantically Coherent Out-of-Distribution Detection15 Dec 2025
- 2025Mysteries of the Deep: Role of Intermediate Representations in Out of Distribution Detection7 Oct 2025
38 more
- 2025Activation Subspaces for Out-of-Distribution Detection29 Aug 2025
- 2025BOOD: Boundary-based Out-Of-Distribution Data Generation1 Aug 2025
- 2025Knowledge Regularized Negative Feature Tuning of Vision-Language Models for Out-of-Distribution Detection26 Jul 2025
- 2025Understanding Knowledge Transferability for Transfer Learning: A Survey3 Jul 2025
- 2025Unsupervised Out-of-Distribution Detection in Medical Imaging Using Multi-Exit Class Activation Maps and Feature Masking13 May 2025
- 2025Extremely Simple Out-of-distribution Detection for Audio-visual Generalized Zero-shot Learning28 Mar 2025
- 2025GOLD: Graph Out-of-Distribution Detection via Implicit Adversarial Latent Generation9 Feb 2025
- 2024Out-Of-Distribution Detection with Diversification (Provably)21 Nov 2024
- 2024Dimensionality-induced information loss of outliers in deep neural networks29 Oct 2024
- 2024Edge Case Detection in Automated Driving: Methods, Challenges, and Future Directions11 Oct 2024
- 2024Generalized Out-of-Distribution Detection and Beyond in Vision Language Model Era: A Survey31 Jul 2024
- 2024STAMP: Outlier-Aware Test-Time Adaptation with Stable Memory Replay22 Jul 2024
- 2024Improving Out-of-Distribution Detection by Combining Existing Post-hoc Methods9 Jul 2024
- 2024Exploring Energy-Based Models for Out-of-Distribution Detection in Dialect Identification26 Jun 2024
- 2024Combine and Conquer: A Meta-Analysis on Data Shift and Out-of-Distribution Detection23 Jun 2024
- 2024Multi-Label Out-of-Distribution Detection with Spectral Normalized Joint Energy8 May 2024
- 2024Gradient-Regularized Out-of-Distribution Detection18 Apr 2024
- 2024A Layer Selection Approach to Test Time Adaptation4 Apr 2024
- 2024CLIP-driven Outliers Synthesis for few-shot OOD detection30 Mar 2024
- 2024Enhancing Out-of-Distribution Detection with Multitesting-based Layer-wise Feature Fusion16 Mar 2024
- 2024Model Reprogramming Outperforms Fine-tuning on Out-of-distribution Data in Text-Image Encoders16 Mar 2024
- 2024Advancing Out-of-Distribution Detection through Data Purification and Dynamic Activation Function Design6 Mar 2024
- 2024Extracting Usable Predictions from Quantized Networks through Uncertainty Quantification for OOD Detection2 Mar 2024
- 2024Towards Out-of-Distribution Detection for breast cancer classification in Point-of-Care Ultrasound Imaging29 Feb 2024
- 2023Towards Few-shot Out-of-Distribution Detection20 Nov 2023
- 2023Learning to Augment Distributions for Out-of-Distribution Detection3 Nov 2023
- 2023Classifier-head Informed Feature Masking and Prototype-based Logit Smoothing for Out-of-Distribution Detection27 Oct 2023
- 2023Diversified Outlier Exposure for Out-of-Distribution Detection via Informative Extrapolation21 Oct 2023
- 2023Be Bayesian by Attachments to Catch More Uncertainty19 Oct 2023
- 2023Meta OOD Learning for Continuously Adaptive OOD Detection21 Sep 2023
- 2023Latent Space Energy-based Model for Fine-grained Open Set Recognition19 Sep 2023
- 2023Quantile-based Maximum Likelihood Training for Outlier Detection20 Aug 2023
- 2023How Good Are LLMs at Out-of-Distribution Detection?20 Aug 2023
- 2023Optimizing Three Critical Factors for Practical and Effective OOD Detection Fine-Tuning2 Aug 2023
- 2023GradOrth: A Simple yet Efficient Out-of-Distribution Detection with Orthogonal Projection of Gradients1 Aug 2023
- 2023Improving Selective Visual Question Answering by Learning from Your Peers14 Jun 2023
- 2023SaliencyCut: Augmenting Plausible Anomalies for Anomaly Detection14 Jun 2023
- 2023Unleashing Mask: Explore the Intrinsic Out-of-Distribution Detection Capability6 Jun 2023
50 newest of 94 All 94 (JSON)
- 2024Generalized Out-of-Distribution Detection and Beyond in Vision Language Model Era: A Surveycited by 36
- 2025Knowledge Regularized Negative Feature Tuning of Vision-Language Models for Out-of-Distribution Detectioncited by 4
- 2026Vision Also You Need: Navigating Out-of-Distribution Detection with Multimodal Large Language Modelcited by 0
- 2026Vision Also You Need: Navigating Out-of-Distribution Detection with Multimodal Large Language Model20 Jan 2026
- 2025Knowledge Regularized Negative Feature Tuning of Vision-Language Models for Out-of-Distribution Detection26 Jul 2025
- 2024Generalized Out-of-Distribution Detection and Beyond in Vision Language Model Era: A Survey31 Jul 2024
- 2025BOOD: Boundary-based Out-Of-Distribution Data Generationcited by 4
- 2025BOOD: Boundary-based Out-Of-Distribution Data Generation1 Aug 2025
- 2021Generalized Out-of-Distribution Detection: A Surveycited by 796
- 2022Out-of-Distribution Detection with Deep Nearest Neighborscited by 596
- 2021On the Importance of Gradients for Detecting Distributional Shifts in the Wildcited by 338
- 2021MOS: Towards Scaling Out-of-distribution Detection for Large Semantic Spacecited by 233
- 2021DICE: Leveraging Sparsification for Out-of-Distribution Detectioncited by 166
- 2021A Unified Survey on Anomaly, Novelty, Open-Set, and Out-of-Distribution Detection: Solutions and Future Challengescited by 154
- 2022Is Out-of-Distribution Detection Learnable?cited by 109
- 2022POEM: Out-of-Distribution Detection with Posterior Samplingcited by 108
- 2022Catching Both Gray and Black Swans: Open-set Supervised Anomaly Detectioncited by 104
- 2021Can multi-label classification networks know what they don't know?cited by 100
- 2021On the Impact of Spurious Correlation for Out-of-distribution Detectioncited by 68
- 2023Diversified Outlier Exposure for Out-of-Distribution Detection via Informative Extrapolationcited by 38
12 most cited of 87 All 87 (JSON)
- 2026Not All Layers Are Equal: Dynamic Layer Routing for Reliable CLIP OOD Detection30 Jul 2026
- 2026MM++: Post-Hoc Scale-Invariant Multilayer OOD Detection via Top-K Gated Feature Fusion15 Jun 2026
- 2026Dual Feature Decoupling for Fine-Grained OOD Detection4 Jun 2026
- 2026What Information Matters? Graph Out-of-Distribution Detection via Tri-Component Information Decomposition13 May 2026
- 2026Component-Based Out-of-Distribution Detection23 Apr 2026
- 2026Halt the Hallucination: Decoupling Signal and Semantic OOD Detection Based on Cascaded Early Rejection6 Feb 2026
- 2026COMBOOD: A Semiparametric Approach for Detecting Out-of-distribution Data for Image Classification4 Feb 2026
- 2026Catalyst: Out-of-Distribution Detection via Elastic Scaling2 Feb 2026
- 2026One Model, Many Behaviors: Training-Induced Effects on Out-of-Distribution Detection15 Jan 2026
- 2025Predictive Sample Assignment for Semantically Coherent Out-of-Distribution Detection15 Dec 2025
- 2025Mysteries of the Deep: Role of Intermediate Representations in Out of Distribution Detection7 Oct 2025
- 2025Activation Subspaces for Out-of-Distribution Detection29 Aug 2025
12 newest of 87 All 87 (JSON)