Deep Sub-Ensembles for Fast Uncertainty Estimation in Image Classification
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Abstract (arXiv)
Fast estimates of model uncertainty are required for many robust robotics applications. Deep Ensembles provides state of the art uncertainty without requiring Bayesian methods, but still it is computationally expensive. In this paper we propose deep sub-ensembles, an approximation to deep ensembles where the core idea is to ensemble only the layers close to the output, and not the whole model. With ResNet-20 on the CIFAR10 dataset, we obtain 1.5-2.5 speedup over a Deep Ensemble, with a small increase in error and NLL, and similarly up to 5-15 speedup with a VGG-like network on the SVHN dataset. Our results show that this idea enables a trade-off between error and uncertainty quality versus computational performance.
Key facts. Cited by 36 papers in the map (data through 14 Oct 2026). First posted on arXiv 17 Oct 2019.
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Citing papers per year: 2021: 4; 2022: 9; 2023: 8; 2024: 6; 2025: 7; 2026: 2.
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- 2021A Survey of Uncertainty in Deep Neural Networkscited by 680
- 2024A Comprehensive Survey on Evidential Deep Learning and Its Applicationscited by 25
- 2024Are Uncertainty Quantification Capabilities of Evidential Deep Learning a Mirage?cited by 18
- 2022Hyperbolic Uncertainty Aware Semantic Segmentationcited by 17
- 2021Gradient-Based Quantification of Epistemic Uncertainty for Deep Object Detectorscited by 16
- 2022Layer Ensembles: A Single-Pass Uncertainty Estimation in Deep Learning for Segmentationcited by 15
- 2022Active Learning of Discrete-Time Dynamics for Uncertainty-Aware Model Predictive Controlcited by 13
- 2023Beyond Unimodal: Generalising Neural Processes for Multimodal Uncertainty Estimationcited by 11
- 2022Uncertainty Estimation for Multi-view Data: The Power of Seeing the Whole Picturecited by 10
- 2023Gradient-based Uncertainty Attribution for Explainable Bayesian Deep Learningcited by 8
- 2024SSE: Multimodal Semantic Data Selection and Enrichment for Industrial-scale Data Assimilationcited by 7
- 2024Regularized Multi-Decoder Ensemble for an Error-Aware Scene Representation Networkcited by 6
24 more
- 2025OCCUQ: Exploring Efficient Uncertainty Quantification for 3D Occupancy Predictioncited by 6
- 2023Compensation Learning in Semantic Segmentationcited by 5
- 2023Building a Winning Team: Selecting Source Model Ensembles using a Submodular Transferability Estimation Approachcited by 5
- 2022TEDL: A Two-stage Evidential Deep Learning Method for Classification Uncertainty Quantificationcited by 3
- 2022Layer Ensemblescited by 3
- 2023Uncertainty-Aware AB3DMOT by Variational 3D Object Detectioncited by 3
- 2025Efficient Post-Hoc Uncertainty Calibration via Variance-Based Smoothingcited by 3
- 2025Mimir: Hierarchical Goal-Driven Diffusion with Uncertainty Propagation for End-to-End Autonomous Drivingcited by 3
- 2022Selective classification using a robust meta-learning approachcited by 2
- 2025Quantifying Uncertainty in the Presence of Distribution Shiftscited by 2
- 2025Intra-Class Probabilistic Embeddings for Uncertainty Estimation in Vision-Language Modelscited by 2
- 2021Gated Linear Model induced U-net for surrogate modeling and uncertainty quantificationcited by 1
- 2022Transfer learning for ensembles: reducing computation time and keeping the diversitycited by 1
- 2023Secure Deep Learning-based Distributed Intelligence on Pocket-sized Dronescited by 1
- 2026Efficient Credal Prediction through Decalibrationcited by 1
- 2021Dropout Prediction Uncertainty Estimation Using Neuron Activation Strengthcited by 0
- 2022SoftDropConnect (SDC) -- Effective and Efficient Quantification of the Network Uncertainty in Deep MR Image Analysiscited by 0
- 2023Variational Voxel Pseudo Image Trackingcited by 0
- 2023Uncertainty Quantification using Generative Approachcited by 0
- 2024Customer Lifetime Value Prediction with Uncertainty Estimation Using Monte Carlo Dropoutcited by 0
- 2024U-FaceBP: Uncertainty-aware Bayesian Ensemble Deep Learning for Face Video-based Blood Pressure Estimationcited by 0
- 2025Variational Graph Convolutional Neural Networkscited by 0
- 2025Ensemble Distribution Distillation for Self-Supervised Human Activity Recognitioncited by 0
- 2026Uncertainty quantification for trustworthy deep learning: Methods and measurescited by 0
- 2026Uncertainty quantification for trustworthy deep learning: Methods and measures30 Jul 2026
- 2026Efficient Credal Prediction through Decalibration9 Mar 2026
- 2025Mimir: Hierarchical Goal-Driven Diffusion with Uncertainty Propagation for End-to-End Autonomous Driving8 Dec 2025
- 2025Intra-Class Probabilistic Embeddings for Uncertainty Estimation in Vision-Language Models27 Nov 2025
- 2025Ensemble Distribution Distillation for Self-Supervised Human Activity Recognition10 Sep 2025
- 2025Variational Graph Convolutional Neural Networks2 Jul 2025
- 2025Quantifying Uncertainty in the Presence of Distribution Shifts23 Jun 2025
- 2025Efficient Post-Hoc Uncertainty Calibration via Variance-Based Smoothing19 Mar 2025
- 2025OCCUQ: Exploring Efficient Uncertainty Quantification for 3D Occupancy Prediction13 Mar 2025
- 2024U-FaceBP: Uncertainty-aware Bayesian Ensemble Deep Learning for Face Video-based Blood Pressure Estimation14 Dec 2024
- 2024Customer Lifetime Value Prediction with Uncertainty Estimation Using Monte Carlo Dropout24 Nov 2024
- 2024SSE: Multimodal Semantic Data Selection and Enrichment for Industrial-scale Data Assimilation20 Sep 2024
24 more
- 2024A Comprehensive Survey on Evidential Deep Learning and Its Applications7 Sep 2024
- 2024Regularized Multi-Decoder Ensemble for an Error-Aware Scene Representation Network26 Jul 2024
- 2024Are Uncertainty Quantification Capabilities of Evidential Deep Learning a Mirage?9 Feb 2024
- 2023Uncertainty Quantification using Generative Approach13 Oct 2023
- 2023Building a Winning Team: Selecting Source Model Ensembles using a Submodular Transferability Estimation Approach5 Sep 2023
- 2023Secure Deep Learning-based Distributed Intelligence on Pocket-sized Drones4 Jul 2023
- 2023Compensation Learning in Semantic Segmentation26 Apr 2023
- 2023Gradient-based Uncertainty Attribution for Explainable Bayesian Deep Learning10 Apr 2023
- 2023Beyond Unimodal: Generalising Neural Processes for Multimodal Uncertainty Estimation4 Apr 2023
- 2023Uncertainty-Aware AB3DMOT by Variational 3D Object Detection12 Feb 2023
- 2023Variational Voxel Pseudo Image Tracking12 Feb 2023
- 2022Selective classification using a robust meta-learning approach12 Dec 2022
- 2022Active Learning of Discrete-Time Dynamics for Uncertainty-Aware Model Predictive Control23 Oct 2022
- 2022Layer Ensembles10 Oct 2022
- 2022Uncertainty Estimation for Multi-view Data: The Power of Seeing the Whole Picture6 Oct 2022
- 2022TEDL: A Two-stage Evidential Deep Learning Method for Classification Uncertainty Quantification12 Sep 2022
- 2022Transfer learning for ensembles: reducing computation time and keeping the diversity27 Jun 2022
- 2022Hyperbolic Uncertainty Aware Semantic Segmentation16 Mar 2022
- 2022Layer Ensembles: A Single-Pass Uncertainty Estimation in Deep Learning for Segmentation16 Mar 2022
- 2022SoftDropConnect (SDC) -- Effective and Efficient Quantification of the Network Uncertainty in Deep MR Image Analysis20 Jan 2022
- 2021Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification8 Nov 2021
- 2021Dropout Prediction Uncertainty Estimation Using Neuron Activation Strength13 Oct 2021
- 2021Gradient-Based Quantification of Epistemic Uncertainty for Deep Object Detectors9 Jul 2021
- 2021A Survey of Uncertainty in Deep Neural Networks7 Jul 2021
- 2021A Survey of Uncertainty in Deep Neural Networkscited by 680
- 2024A Comprehensive Survey on Evidential Deep Learning and Its Applicationscited by 25
- 2024Are Uncertainty Quantification Capabilities of Evidential Deep Learning a Mirage?cited by 18
- 2022Hyperbolic Uncertainty Aware Semantic Segmentationcited by 17
- 2021Gradient-Based Quantification of Epistemic Uncertainty for Deep Object Detectorscited by 16
- 2022Layer Ensembles: A Single-Pass Uncertainty Estimation in Deep Learning for Segmentationcited by 15
- 2022Active Learning of Discrete-Time Dynamics for Uncertainty-Aware Model Predictive Controlcited by 13
- 2023Beyond Unimodal: Generalising Neural Processes for Multimodal Uncertainty Estimationcited by 11
- 2022Uncertainty Estimation for Multi-view Data: The Power of Seeing the Whole Picturecited by 10
- 2023Gradient-based Uncertainty Attribution for Explainable Bayesian Deep Learningcited by 8
- 2024SSE: Multimodal Semantic Data Selection and Enrichment for Industrial-scale Data Assimilationcited by 7
- 2024Regularized Multi-Decoder Ensemble for an Error-Aware Scene Representation Networkcited by 6
12 most cited of 34 All 34 (JSON)
- 2026Uncertainty quantification for trustworthy deep learning: Methods and measures30 Jul 2026
- 2026Efficient Credal Prediction through Decalibration9 Mar 2026
- 2025Ensemble Distribution Distillation for Self-Supervised Human Activity Recognition10 Sep 2025
- 2025Variational Graph Convolutional Neural Networks2 Jul 2025
- 2025Quantifying Uncertainty in the Presence of Distribution Shifts23 Jun 2025
- 2025Efficient Post-Hoc Uncertainty Calibration via Variance-Based Smoothing19 Mar 2025
- 2025OCCUQ: Exploring Efficient Uncertainty Quantification for 3D Occupancy Prediction13 Mar 2025
- 2024U-FaceBP: Uncertainty-aware Bayesian Ensemble Deep Learning for Face Video-based Blood Pressure Estimation14 Dec 2024
- 2024Customer Lifetime Value Prediction with Uncertainty Estimation Using Monte Carlo Dropout24 Nov 2024
- 2024SSE: Multimodal Semantic Data Selection and Enrichment for Industrial-scale Data Assimilation20 Sep 2024
- 2024A Comprehensive Survey on Evidential Deep Learning and Its Applications7 Sep 2024
- 2024Regularized Multi-Decoder Ensemble for an Error-Aware Scene Representation Network26 Jul 2024
12 newest of 34 All 34 (JSON)