VRA: Variational Rectified Activation for Out-of-distribution Detection
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Abstract (arXiv)
Out-of-distribution (OOD) detection is critical to building reliable machine learning systems in the open world. Researchers have proposed various strategies to reduce model overconfidence on OOD data. Among them, ReAct is a typical and effective technique to deal with model overconfidence, which truncates high activations to increase the gap between in-distribution and OOD. Despite its promising results, is this technique the best choice for widening the gap? To answer this question, we leverage the variational method to find the optimal operation and verify the necessity of suppressing abnormally low and high activations and amplifying intermediate activations in OOD detection, rather than focusing only on high activations like ReAct. This motivates us to propose a novel technique called ``Variational Rectified Activation (VRA)'', which simulates these suppression and amplification operations using piecewise functions. Experimental results on multiple benchmark datasets demonstrate that our method outperforms existing post-hoc strategies. Meanwhile, VRA is compatible with different scoring functions and network architectures. textcolor[rgb]0.93,0.0,0.47Our code can be found in Supplementary Material.
Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). Builds on 40 of its 52 references that are in the map. First posted on arXiv 23 Feb 2023.
Builds on
40 of 52 references.
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Citing papers per year: 2023: 2; 2024: 5; 2025: 4; 2026: 4.
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- 2024Out-of-Distribution Detection: A Task-Oriented Survey of Recent Advancescited by 24
- 2023GradOrth: A Simple yet Efficient Out-of-Distribution Detection with Orthogonal Projection of Gradientscited by 21
- 2024Gradient-Regularized Out-of-Distribution Detectioncited by 13
- 2024Your Classifier Can Be Secretly a Likelihood-Based OOD Detectorcited by 4
- 2025Mitigating the Modality Gap: Few-Shot Out-of-Distribution Detection with Multi-modal Prototypes and Image Bias Estimationcited by 3
- 2025Activation Subspaces for Out-of-Distribution Detectioncited by 2
- 2026Tuning Out-of-Distribution (OOD) Detectors Without Given OOD Datacited by 2
- 2023RankFeat&RankWeight: Rank-1 Feature/Weight Removal for Out-of-distribution Detectioncited by 1
- 2025Kernel PCA for Out-of-Distribution Detection: Non-Linear Kernel Selection and Approximationcited by 1
- 2026MahaVar: OOD Detection via Class-wise Mahalanobis Distance Variance under Neural Collapsecited by 1
- 2024Resultant: Incremental Effectiveness on Likelihood for Unsupervised Out-of-Distribution Detectioncited by 0
- 2024Beyond Perceptual Distance: Discrepancy Assessment on Deep Representation for Out-of-Distribution Detection with Diffusion Modelcited by 0
- 2026Out-of-Distribution (OOD) Detectors for Open-Set RF Fingerprinting10 Jun 2026
- 2026From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shift29 May 2026
- 2026MahaVar: OOD Detection via Class-wise Mahalanobis Distance Variance under Neural Collapse14 May 2026
- 2026Tuning Out-of-Distribution (OOD) Detectors Without Given OOD Data5 Feb 2026
- 2025Activation Subspaces for Out-of-Distribution Detection29 Aug 2025
- 2025Multi-Method Ensemble for Out-of-Distribution Detection29 Aug 2025
- 2025Kernel PCA for Out-of-Distribution Detection: Non-Linear Kernel Selection and Approximation21 May 2025
- 2025Mitigating the Modality Gap: Few-Shot Out-of-Distribution Detection with Multi-modal Prototypes and Image Bias Estimation2 Feb 2025
- 2024Out-of-Distribution Detection: A Task-Oriented Survey of Recent Advances18 Sep 2024
- 2024Beyond Perceptual Distance: Discrepancy Assessment on Deep Representation for Out-of-Distribution Detection with Diffusion Model16 Sep 2024
- 2024Resultant: Incremental Effectiveness on Likelihood for Unsupervised Out-of-Distribution Detection5 Sep 2024
- 2024Your Classifier Can Be Secretly a Likelihood-Based OOD Detector9 Aug 2024
- 2024Out-of-Distribution Detection: A Task-Oriented Survey of Recent Advancescited by 24
- 2023GradOrth: A Simple yet Efficient Out-of-Distribution Detection with Orthogonal Projection of Gradientscited by 21
- 2024Gradient-Regularized Out-of-Distribution Detectioncited by 13
- 2024Your Classifier Can Be Secretly a Likelihood-Based OOD Detectorcited by 4
- 2025Activation Subspaces for Out-of-Distribution Detectioncited by 2
- 2026Tuning Out-of-Distribution (OOD) Detectors Without Given OOD Datacited by 2
- 2023RankFeat&RankWeight: Rank-1 Feature/Weight Removal for Out-of-distribution Detectioncited by 1
- 2025Kernel PCA for Out-of-Distribution Detection: Non-Linear Kernel Selection and Approximationcited by 1
- 2026MahaVar: OOD Detection via Class-wise Mahalanobis Distance Variance under Neural Collapsecited by 1
- 2024Resultant: Incremental Effectiveness on Likelihood for Unsupervised Out-of-Distribution Detectioncited by 0
- 2025Multi-Method Ensemble for Out-of-Distribution Detectioncited by 0
- 2026From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shiftcited by 0
12 most cited of 13 All 13 (JSON)
- 2026Out-of-Distribution (OOD) Detectors for Open-Set RF Fingerprinting10 Jun 2026
- 2026From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shift29 May 2026
- 2026MahaVar: OOD Detection via Class-wise Mahalanobis Distance Variance under Neural Collapse14 May 2026
- 2026Tuning Out-of-Distribution (OOD) Detectors Without Given OOD Data5 Feb 2026
- 2025Activation Subspaces for Out-of-Distribution Detection29 Aug 2025
- 2025Multi-Method Ensemble for Out-of-Distribution Detection29 Aug 2025
- 2025Kernel PCA for Out-of-Distribution Detection: Non-Linear Kernel Selection and Approximation21 May 2025
- 2024Out-of-Distribution Detection: A Task-Oriented Survey of Recent Advances18 Sep 2024
- 2024Resultant: Incremental Effectiveness on Likelihood for Unsupervised Out-of-Distribution Detection5 Sep 2024
- 2024Your Classifier Can Be Secretly a Likelihood-Based OOD Detector9 Aug 2024
- 2024Gradient-Regularized Out-of-Distribution Detection18 Apr 2024
- 2023RankFeat&RankWeight: Rank-1 Feature/Weight Removal for Out-of-distribution Detection23 Nov 2023
12 newest of 13 All 13 (JSON)