Is MC Dropout Bayesian?
Not on the map. Why?
Abstract (arXiv)
MC Dropout is a mainstream "free lunch" method in medical imaging for approximate Bayesian computations (ABC). Its appeal is to solve out-of-the-box the daunting task of ABC and uncertainty quantification in Neural Networks (NNs); to fall within the variational inference (VI) framework; and to propose a highly multimodal, faithful predictive posterior. We question the properties of MC Dropout for approximate inference, as in fact MC Dropout changes the Bayesian model; its predictive posterior assigns 0 probability to the true model on closed-form benchmarks; the multimodality of its predictive posterior is not a property of the true predictive posterior but a design artefact. To address the need for VI on arbitrary models, we share a generic VI engine within the pytorch framework. The code includes a carefully designed implementation of structured (diagonal plus low-rank) multivariate normal variational families, and mixtures thereof. It is intended as a go-to no-free-lunch approach, addressing shortcomings of mean-field VI with an adjustable trade-off between expressivity and computational complexity.
Key facts. Cited by 35 papers in the map (data through 7 Oct 2026). Builds on 11 of its 26 references that are in the map. First posted on arXiv 8 Oct 2021.
Builds on
11 of 26 references.
References · 11
- 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,416
- 2015Weight Uncertainty in Neural Networkscited by 554
- 2017Advances in Variational Inferencecited by 236
- 2013Expectation Propagation for approximate Bayesian inferencecited by 172
- 2017Multiplicative Normalizing Flows for Variational Bayesian Neural Networkscited by 157
- 2018A Unified Particle-Optimization Framework for Scalable Bayesian Samplingcited by 44
- 2017Variational Inference using Implicit Distributionscited by 39
- 2016Variational Boosting: Iteratively Refining Posterior Approximationscited by 36
- 2015Bridging the Gap between Stochastic Gradient MCMC and Stochastic Optimizationcited by 17
- 2018Meta-Learning for Stochastic Gradient MCMCcited by 16
- 2017Hierarchical Implicit Models and Likelihood-Free Variational Inferencecited by 13
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Citing papers per year: 2022: 4; 2023: 8; 2024: 13; 2025: 6; 2026: 4.
35 papers.
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- 2023A Primer on Bayesian Neural Networks: Review and Debatescited by 26
- 2022GFlowOut: Dropout with Generative Flow Networkscited by 22
- 2022Efficient Bayesian Uncertainty Estimation for nnU-Netcited by 19
- 2024Conformal Prediction for Causal Effects of Continuous Treatmentscited by 19
- 2024DiffPO: A causal diffusion model for learning distributions of potential outcomescited by 17
- 2023That Label's Got Style: Handling Label Style Bias for Uncertain Image Segmentationcited by 13
- 2024Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspectivecited by 12
- 2025Uncertainty Quantification with the Empirical Neural Tangent Kernelcited by 11
- 2023Body Knowledge and Uncertainty Modeling for Monocular 3D Human Body Reconstructioncited by 8
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentationcited by 6
- 2022Bayesian posterior approximation with stochastic ensemblescited by 5
- 2024An uncertainty-aware Digital Shadow for underground multimodal CO2 storage monitoringcited by 5
23 more
- 2025Split Conformal Prediction in the Function Space with Neural Operatorscited by 4
- 2023Towards Reliable Uncertainty Quantification via Deep Ensembles in Multi-output Regression Taskcited by 3
- 2023Inter-Rater Uncertainty Quantification in Medical Image Segmentation via Rater-Specific Bayesian Neural Networkscited by 3
- 2024Neural Network Prediction of Strong Lensing Systems with Domain Adaptation and Uncertainty Quantificationcited by 2
- 2024Why you don't overfit, and don't need Bayes if you only train for one epochcited by 2
- 2025Generation Space Size: Understanding and Calibrating Open-Endedness of LLM Generationscited by 2
- 2025Unreliable Uncertainty Estimates with Monte Carlo Dropoutcited by 2
- 2022Propagating Variational Model Uncertainty for Bioacoustic Call Label Smoothingcited by 1
- 2023Distance Preserving Machine Learning for Uncertainty Aware Accelerator Capacitance Predictionscited by 1
- 2023Out-of-distribution Object Detection through Bayesian Uncertainty Estimationcited by 1
- 2024Enhance Eye Disease Detection using Learnable Probabilistic Discrete Latents in Machine Learning Architecturescited by 1
- 2024Bayesian Uncertainty Estimation by Hamiltonian Monte Carlo: Applications to Cardiac MRI Segmentationcited by 1
- 2026TRIE: An Evaluation Framework for Stochastic PDE Surrogatescited by 1
- 2023Bayesian Neural Networks for 2D MRI Segmentationcited by 0
- 2024BayesJudge: Bayesian Kernel Language Modelling with Confidence Uncertainty in Legal Judgment Predictioncited by 0
- 2024On Uniform, Bayesian, and PAC-Bayesian Deep Ensemblescited by 0
- 2024Taylor-Sensus Network: Embracing Noise to Enlighten Uncertainty for Scientific Datacited by 0
- 2024Fine-Grained Uncertainty Quantification via Collisionscited by 0
- 2025Principled Input-Output-Conditioned Post-Hoc Uncertainty Estimation for Regression Networkscited by 0
- 2025Uncertainty Tube Visualization of Particle Trajectoriescited by 0
- 2026Calibrated uncertainty quantification for prosumer flexibility aggregation in ancillary service marketscited by 0
- 2026Robust Uncertainty Estimation under Distribution Shift via Difference Reconstructioncited by 0
- 2026CUPID: A Plug-in Framework for Joint Aleatoric and Epistemic Uncertainty Estimation with a Single Modelcited by 0
- 2026TRIE: An Evaluation Framework for Stochastic PDE Surrogates30 Jun 2026
- 2026CUPID: A Plug-in Framework for Joint Aleatoric and Epistemic Uncertainty Estimation with a Single Model11 Mar 2026
- 2026Robust Uncertainty Estimation under Distribution Shift via Difference Reconstruction27 Jan 2026
- 2026Calibrated uncertainty quantification for prosumer flexibility aggregation in ancillary service markets21 Jan 2026
- 2025Unreliable Uncertainty Estimates with Monte Carlo Dropout16 Dec 2025
- 2025Generation Space Size: Understanding and Calibrating Open-Endedness of LLM Generations14 Oct 2025
- 2025Split Conformal Prediction in the Function Space with Neural Operators4 Sep 2025
- 2025Uncertainty Tube Visualization of Particle Trajectories19 Aug 2025
- 2025Principled Input-Output-Conditioned Post-Hoc Uncertainty Estimation for Regression Networks1 Jun 2025
- 2025Uncertainty Quantification with the Empirical Neural Tangent Kernel5 Feb 2025
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentation25 Nov 2024
- 2024Why you don't overfit, and don't need Bayes if you only train for one epoch19 Nov 2024
23 more
- 2024Fine-Grained Uncertainty Quantification via Collisions18 Nov 2024
- 2024Neural Network Prediction of Strong Lensing Systems with Domain Adaptation and Uncertainty Quantification23 Oct 2024
- 2024DiffPO: A causal diffusion model for learning distributions of potential outcomes11 Oct 2024
- 2024An uncertainty-aware Digital Shadow for underground multimodal CO2 storage monitoring2 Oct 2024
- 2024Taylor-Sensus Network: Embracing Noise to Enlighten Uncertainty for Scientific Data12 Sep 2024
- 2024Conformal Prediction for Causal Effects of Continuous Treatments3 Jul 2024
- 2024On Uniform, Bayesian, and PAC-Bayesian Deep Ensembles8 Jun 2024
- 2024BayesJudge: Bayesian Kernel Language Modelling with Confidence Uncertainty in Legal Judgment Prediction16 Apr 2024
- 2024Bayesian Uncertainty Estimation by Hamiltonian Monte Carlo: Applications to Cardiac MRI Segmentation4 Mar 2024
- 2024Enhance Eye Disease Detection using Learnable Probabilistic Discrete Latents in Machine Learning Architectures21 Jan 2024
- 2024Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective5 Jan 2024
- 2023Bayesian Neural Networks for 2D MRI Segmentation24 Nov 2023
- 2023Out-of-distribution Object Detection through Bayesian Uncertainty Estimation29 Oct 2023
- 2023A Primer on Bayesian Neural Networks: Review and Debates28 Sep 2023
- 2023Body Knowledge and Uncertainty Modeling for Monocular 3D Human Body Reconstruction1 Aug 2023
- 2023Distance Preserving Machine Learning for Uncertainty Aware Accelerator Capacitance Predictions5 Jul 2023
- 2023Inter-Rater Uncertainty Quantification in Medical Image Segmentation via Rater-Specific Bayesian Neural Networks28 Jun 2023
- 2023Towards Reliable Uncertainty Quantification via Deep Ensembles in Multi-output Regression Task28 Mar 2023
- 2023That Label's Got Style: Handling Label Style Bias for Uncertain Image Segmentation28 Mar 2023
- 2022Bayesian posterior approximation with stochastic ensembles15 Dec 2022
- 2022Efficient Bayesian Uncertainty Estimation for nnU-Net12 Dec 2022
- 2022GFlowOut: Dropout with Generative Flow Networks24 Oct 2022
- 2022Propagating Variational Model Uncertainty for Bioacoustic Call Label Smoothing19 Oct 2022
- 2023A Primer on Bayesian Neural Networks: Review and Debatescited by 26
- 2022GFlowOut: Dropout with Generative Flow Networkscited by 22
- 2022Efficient Bayesian Uncertainty Estimation for nnU-Netcited by 19
- 2024Conformal Prediction for Causal Effects of Continuous Treatmentscited by 19
- 2023That Label's Got Style: Handling Label Style Bias for Uncertain Image Segmentationcited by 13
- 2024Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspectivecited by 12
- 2025Uncertainty Quantification with the Empirical Neural Tangent Kernelcited by 11
- 2023Body Knowledge and Uncertainty Modeling for Monocular 3D Human Body Reconstructioncited by 8
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentationcited by 6
- 2022Bayesian posterior approximation with stochastic ensemblescited by 5
- 2024An uncertainty-aware Digital Shadow for underground multimodal CO2 storage monitoringcited by 5
- 2025Split Conformal Prediction in the Function Space with Neural Operatorscited by 4
12 most cited of 34 All 34 (JSON)
- 2026TRIE: An Evaluation Framework for Stochastic PDE Surrogates30 Jun 2026
- 2026CUPID: A Plug-in Framework for Joint Aleatoric and Epistemic Uncertainty Estimation with a Single Model11 Mar 2026
- 2026Robust Uncertainty Estimation under Distribution Shift via Difference Reconstruction27 Jan 2026
- 2026Calibrated uncertainty quantification for prosumer flexibility aggregation in ancillary service markets21 Jan 2026
- 2025Unreliable Uncertainty Estimates with Monte Carlo Dropout16 Dec 2025
- 2025Generation Space Size: Understanding and Calibrating Open-Endedness of LLM Generations14 Oct 2025
- 2025Split Conformal Prediction in the Function Space with Neural Operators4 Sep 2025
- 2025Uncertainty Tube Visualization of Particle Trajectories19 Aug 2025
- 2025Principled Input-Output-Conditioned Post-Hoc Uncertainty Estimation for Regression Networks1 Jun 2025
- 2025Uncertainty Quantification with the Empirical Neural Tangent Kernel5 Feb 2025
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentation25 Nov 2024
- 2024Why you don't overfit, and don't need Bayes if you only train for one epoch19 Nov 2024
12 newest of 34 All 34 (JSON)