Improving Reconstruction Autoencoder Out-of-distribution Detection with Mahalanobis Distance
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Abstract (arXiv)
There is an increasingly apparent need for validating the classifications made by deep learning systems in safety-critical applications like autonomous vehicle systems. A number of recent papers have proposed methods for detecting anomalous image data that appear different from known inlier data samples, including reconstruction-based autoencoders. Autoencoders optimize the compression of input data to a latent space of a dimensionality smaller than the original input and attempt to accurately reconstruct the input using that compressed representation. Since the latent vector is optimized to capture the salient features from the inlier class only, it is commonly assumed that images of objects from outside of the training class cannot effectively be compressed and reconstructed. Some thus consider reconstruction error as a kind of novelty measure. Here we suggest that reconstruction-based approaches fail to capture particular anomalies that lie far from known inlier samples in latent space but near the latent dimension manifold defined by the parameters of the model. We propose incorporating the Mahalanobis distance in latent space to better capture these out-of-distribution samples and our results show that this method often improves performance over the baseline approach.
Key facts. Cited by 74 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Dec 2018.
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Citing papers per year: 2020: 1; 2021: 8; 2022: 7; 2023: 18; 2024: 14; 2025: 20; 2026: 6.
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- 2021Generalized Out-of-Distribution Detection: A Surveycited by 796
- 2022OpenOOD: Benchmarking Generalized Out-of-Distribution Detectioncited by 267
- 2023Towards Open Vocabulary Learning: A Surveycited by 165
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- 2022Rethinking Reconstruction Autoencoder-Based Out-of-Distribution Detectioncited by 59
- 2023Unsupervised Out-of-Distribution Detection with Diffusion Inpaintingcited by 57
- 2023Diffusion Policies for Out-of-Distribution Generalization in Offline Reinforcement Learningcited by 40
- 2024Envisioning Outlier Exposure by Large Language Models for Out-of-Distribution Detectioncited by 30
- 2023DiffGuard: Semantic Mismatch-Guided Out-of-Distribution Detection using Pre-trained Diffusion Modelscited by 25
- 2023Unknown Sniffer for Object Detection: Don't Turn a Blind Eye to Unknown Objectscited by 23
- 2022Out-of-Distribution Detection with Semantic Mismatch under Maskingcited by 22
- 2023Unsupervised 3D out-of-distribution detection with latent diffusion modelscited by 22
38 more
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- 2021Efficient Out-of-Distribution Detection Using Latent Space of β-VAE for Cyber-Physical Systemscited by 19
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- 2021Do We Really Need to Learn Representations from In-domain Data for Outlier Detection?cited by 16
- 2021Benchmarking Safety Monitors for Image Classifiers with Machine Learningcited by 14
- 2024Detecting Out-Of-Distribution Earth Observation Images with Diffusion Modelscited by 14
- 2021Resisting Out-of-Distribution Data Problem in Perturbation of XAIcited by 12
- 2021Out-of-distribution Detection with Boundary Aware Learningcited by 11
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- 2021WOOD: Wasserstein-based Out-of-Distribution Detectioncited by 9
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- 2023Reconstruction-based Out-of-Distribution Detection for Short-Range FMCW Radarcited by 6
- 2023Unsupervised Recognition of Unknown Objects for Open-World Object Detectioncited by 6
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- 2025EigenScore: OOD Detection using Covariance in Diffusion Modelscited by 4
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- 2024Detecting Out-of-Distribution Objects through Class-Conditioned Inpaintingcited by 1
- 2024Differentiable Score-Based Likelihoods: Learning CT Motion Compensation From Clean Imagescited by 1
- 2024Robust Image Classification in the Presence of Out-of-Distribution and Adversarial Samples Using Attractors in Neural Networkscited by 1
50 most cited of 74 All 74 (JSON)
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- 2025An Empirical Analysis of VLM-based OOD Detection: Mechanisms, Advantages, and Sensitivity16 Sep 2025
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- 2025Enclosing Prototypical Variational Autoencoder for Explainable Out-of-Distribution Detection17 Jun 2025
- 2025Conditional diffusion models for guided anomaly detection in brain images using fluid-driven anomaly randomization11 Jun 2025
- 2025Digital Twin-based Out-of-Distribution Detection in Autonomous Vessels28 Apr 2025
- 2025Proxy-Anchor and EVT-Driven Continual Learning Method for Generalized Category Discovery11 Apr 2025
- 2025Quantifying the uncertainty of model-based synthetic image quality metrics4 Apr 2025
- 2025Guaranteeing Out-Of-Distribution Detection in Deep RL via Transition Estimation7 Mar 2025
- 2025Multi-label out-of-distribution detection via evidential learning25 Feb 2025
- 2025DOSE3 : Diffusion-based Out-of-distribution detection on SE(3) trajectories23 Feb 2025
- 2025Autoencoders for Anomaly Detection are Unreliable23 Jan 2025
- 2025Hypercone Assisted Contour Generation for Out-of-Distribution Detection17 Jan 2025
- 2025DisCoPatch: Taming Adversarially-driven Batch Statistics for Improved Out-of-Distribution Detection14 Jan 2025
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- 2024Collaborative Knowledge Distillation via a Learning-by-Education Node Community30 Sep 2024
- 2024Can Your Generative Model Detect Out-of-Distribution Covariate Shift?4 Sep 2024
- 2024Robust Image Classification in the Presence of Out-of-Distribution and Adversarial Samples Using Attractors in Neural Networks15 Jun 2024
- 2024How Out-of-Distribution Detection Learning Theory Enhances Transformer: Learnability and Reliability13 Jun 2024
- 2024Envisioning Outlier Exposure by Large Language Models for Out-of-Distribution Detection2 Jun 2024
- 2024Concept Matching with Agent for Out-of-Distribution Detection27 May 2024
- 2024Embedding Trajectory for Out-of-Distribution Detection in Mathematical Reasoning22 May 2024
- 2024Out-of-Distribution Detection with a Single Unconditional Diffusion Model20 May 2024
- 2024Differentiable Score-Based Likelihoods: Learning CT Motion Compensation From Clean Images23 Apr 2024
- 2024Detecting Out-Of-Distribution Earth Observation Images with Diffusion Models19 Apr 2024
- 2024Detecting Out-of-Distribution Objects through Class-Conditioned Inpainting5 Feb 2024
- 2023Deep Neural Network Identification of Limnonectes Species and New Class Detection Using Image Data15 Nov 2023
- 2023Out-of-distribution Object Detection through Bayesian Uncertainty Estimation29 Oct 2023
- 2023Likelihood-based Out-of-Distribution Detection with Denoising Diffusion Probabilistic Models26 Oct 2023
- 2023Unsupervised Out-of-Distribution Detection by Restoring Lossy Inputs with Variational Autoencoder5 Sep 2023
- 2023Unsupervised Recognition of Unknown Objects for Open-World Object Detection31 Aug 2023
- 2023Expecting The Unexpected: Towards Broad Out-Of-Distribution Detection22 Aug 2023
- 2023DiffGuard: Semantic Mismatch-Guided Out-of-Distribution Detection using Pre-trained Diffusion Models15 Aug 2023
- 2023HOOD: Real-Time Human Presence and Out-of-Distribution Detection Using FMCW Radar24 Jul 2023
- 2023Diffusion Policies for Out-of-Distribution Generalization in Offline Reinforcement Learning10 Jul 2023
- 2023Unsupervised 3D out-of-distribution detection with latent diffusion models7 Jul 2023
50 newest of 74 All 74 (JSON)
- 2022Denoising diffusion models for out-of-distribution detectioncited by 102
- 2023Unsupervised Out-of-Distribution Detection with Diffusion Inpaintingcited by 57
- 2023Diffusion Policies for Out-of-Distribution Generalization in Offline Reinforcement Learningcited by 40
- 2023DiffGuard: Semantic Mismatch-Guided Out-of-Distribution Detection using Pre-trained Diffusion Modelscited by 25
- 2023Unsupervised 3D out-of-distribution detection with latent diffusion modelscited by 22
- 2024Out-of-Distribution Detection with a Single Unconditional Diffusion Modelcited by 22
- 2024Detecting Out-Of-Distribution Earth Observation Images with Diffusion Modelscited by 14
- 2023Likelihood-based Out-of-Distribution Detection with Denoising Diffusion Probabilistic Modelscited by 10
- 2025Conditional diffusion models for guided anomaly detection in brain images using fluid-driven anomaly randomizationcited by 6
- 2025EigenScore: OOD Detection using Covariance in Diffusion Modelscited by 4
- 2025CADD: Context aware disease deviations via restoration of brain images using normative conditional diffusion modelscited by 0
- 2025Out-of-Distribution Detection in Molecular Complexes via Diffusion Models for Irregular Graphscited by 0
- 2025Out-of-Distribution Detection in Molecular Complexes via Diffusion Models for Irregular Graphs20 Dec 2025
- 2025EigenScore: OOD Detection using Covariance in Diffusion Models8 Oct 2025
- 2025CADD: Context aware disease deviations via restoration of brain images using normative conditional diffusion models5 Aug 2025
- 2025Conditional diffusion models for guided anomaly detection in brain images using fluid-driven anomaly randomization11 Jun 2025
- 2024Out-of-Distribution Detection with a Single Unconditional Diffusion Model20 May 2024
- 2024Detecting Out-Of-Distribution Earth Observation Images with Diffusion Models19 Apr 2024
- 2023Likelihood-based Out-of-Distribution Detection with Denoising Diffusion Probabilistic Models26 Oct 2023
- 2023DiffGuard: Semantic Mismatch-Guided Out-of-Distribution Detection using Pre-trained Diffusion Models15 Aug 2023
- 2023Diffusion Policies for Out-of-Distribution Generalization in Offline Reinforcement Learning10 Jul 2023
- 2023Unsupervised 3D out-of-distribution detection with latent diffusion models7 Jul 2023
- 2023Unsupervised Out-of-Distribution Detection with Diffusion Inpainting20 Feb 2023
- 2022Denoising diffusion models for out-of-distribution detection14 Nov 2022
- 2021Generalized Out-of-Distribution Detection: A Surveycited by 796
- 2022OpenOOD: Benchmarking Generalized Out-of-Distribution Detectioncited by 267
- 2023Towards Open Vocabulary Learning: A Surveycited by 165
- 2022Rethinking Reconstruction Autoencoder-Based Out-of-Distribution Detectioncited by 59
- 2024Envisioning Outlier Exposure by Large Language Models for Out-of-Distribution Detectioncited by 30
- 2023Unknown Sniffer for Object Detection: Don't Turn a Blind Eye to Unknown Objectscited by 23
- 2022Out-of-Distribution Detection with Semantic Mismatch under Maskingcited by 22
- 2021Efficient Out-of-Distribution Detection Using Latent Space of β-VAE for Cyber-Physical Systemscited by 19
- 2021Do We Really Need to Learn Representations from In-domain Data for Outlier Detection?cited by 16
- 2021Benchmarking Safety Monitors for Image Classifiers with Machine Learningcited by 14
- 2021Resisting Out-of-Distribution Data Problem in Perturbation of XAIcited by 12
- 2021Out-of-distribution Detection with Boundary Aware Learningcited by 11
12 most cited of 56 All 56 (JSON)
- 2026Unifying Runtime Monitoring Approaches for Safety-Critical Machine Learning: Application to Vision-Based Landing29 Apr 2026
- 2026VOLTA: The Surprising Ineffectiveness of Auxiliary Losses for Calibrated Deep Learning9 Apr 2026
- 2026Better than Average: Spatially-Aware Aggregation of Segmentation Uncertainty Improves Downstream Performance31 Mar 2026
- 2026Context Determines Optimal Architecture in Materials Segmentation4 Feb 2026
- 2026SeNeDiF-OOD: Semantic Nested Dichotomy Fusion for Out-of-Distribution Detection Methodology in Open-World Classification. A Case Study on Monument Style Classification26 Jan 2026
- 2025RcAE: Recursive Reconstruction Framework for Unsupervised Industrial Anomaly Detection12 Dec 2025
- 2025Out-of-Distribution Detection for Safety Assurance of AI and Autonomous Systems24 Oct 2025
- 2025Prompt Optimization Meets Subspace Representation Learning for Few-shot Out-of-Distribution Detection9 Sep 2025
- 2025Out-of-Distribution Detection in Medical Imaging via Diffusion Trajectories31 Jul 2025
- 2025Enclosing Prototypical Variational Autoencoder for Explainable Out-of-Distribution Detection17 Jun 2025
- 2025Digital Twin-based Out-of-Distribution Detection in Autonomous Vessels28 Apr 2025
- 2025Proxy-Anchor and EVT-Driven Continual Learning Method for Generalized Category Discovery11 Apr 2025
12 newest of 56 All 56 (JSON)