mlsanityData to 7 Oct 2026

Deep Ensembles Work, But Are They Necessary?

arXiv 2202.06985 ↗First posted 14 Feb 2022cs.LG stat.MLcited by 63

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Abstract (arXiv)

Ensembling neural networks is an effective way to increase accuracy, and can often match the performance of individual larger models. This observation poses a natural question: given the choice between a deep ensemble and a single neural network with similar accuracy, is one preferable over the other? Recent work suggests that deep ensembles may offer distinct benefits beyond predictive power: namely, uncertainty quantification and robustness to dataset shift. In this work, we demonstrate limitations to these purported benefits, and show that a single (but larger) neural network can replicate these qualities. First, we show that ensemble diversity, by any metric, does not meaningfully contribute to an ensemble's uncertainty quantification on out-of-distribution (OOD) data, but is instead highly correlated with the relative improvement of a single larger model. Second, we show that the OOD performance afforded by ensembles is strongly determined by their in-distribution (InD) performance, and -- in this sense -- is not indicative of any "effective robustness". While deep ensembles are a practical way to achieve improvements to predictive power, uncertainty quantification, and robustness, our results show that these improvements can be replicated by a (larger) single model.

Key facts. Cited by 63 papers in the map (data through 7 Oct 2026). Builds on 45 of its 84 references that are in the map. First posted on arXiv 14 Feb 2022.

Builds on

45 of 84 references.

References · 45

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,267
  3. 2016Densely Connected Convolutional Networkscited by 6,691
  4. 2017On Calibration of Modern Neural Networkscited by 4,860
  5. 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,416
  6. 2014Going Deeper with Convolutionscited by 4,231
  7. 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,888
  8. 2016Wide Residual Networkscited by 3,057
  9. 2017What Uncertainties Do We Need in Bayesian Deep Learning for Computer Vision?cited by 2,335
  10. 2019Do ImageNet Classifiers Generalize to ImageNet?cited by 1,507
  11. 2019Can You Trust Your Model's Uncertainty? Evaluating Predictive Uncertainty Under Dataset Shiftcited by 1,274
  12. 2018Reconciling modern machine learning practice and the bias-variance trade-offcited by 919
33 more
  1. 2019Aleatoric and Epistemic Uncertainty in Machine Learning: An Introduction to Concepts and Methodscited by 903
  2. 2017Deep Bayesian Active Learning with Image Datacited by 812
  3. 2019Deep Double Descent: Where Bigger Models and More Data Hurtcited by 667
  4. 2020MOPO: Model-based Offline Policy Optimizationcited by 630
  5. 2018GPyTorch: Blackbox Matrix-Matrix Gaussian Process Inference with GPU Accelerationcited by 603
  6. 2018Predictive Uncertainty Estimation via Prior Networkscited by 555
  7. 2019A Simple Baseline for Bayesian Uncertainty in Deep Learningcited by 555
  8. 2019Surprises in High-Dimensional Ridgeless Least Squares Interpolationcited by 508
  9. 2020Bayesian Deep Learning and a Probabilistic Perspective of Generalizationcited by 480
  10. 2020Measuring Robustness to Natural Distribution Shifts in Image Classificationcited by 452
  11. 2019Deep Ensembles: A Loss Landscape Perspectivecited by 438
  12. 2020Simple and Principled Uncertainty Estimation with Deterministic Deep Learning via Distance Awarenesscited by 389
  13. 2020BatchEnsemble: An Alternative Approach to Efficient Ensemble and Lifelong Learningcited by 368
  14. 2017Snapshot Ensembles: Train 1, get M for freecited by 349
  15. 2021Accuracy on the Line: On the Strong Correlation Between Out-of-Distribution and In-Distribution Generalizationcited by 248
  16. 2018Model-Ensemble Trust-Region Policy Optimizationcited by 214
  17. 2020Pitfalls of In-Domain Uncertainty Estimation and Ensembling in Deep Learningcited by 208
  18. 2019Evaluating Scalable Bayesian Deep Learning Methods for Robust Computer Visioncited by 182
  19. 2018Understanding Measures of Uncertainty for Adversarial Example Detectioncited by 177
  20. 2020Training independent subnetworks for robust predictioncited by 177
  21. 2015Why M Heads are Better than One: Training a Diverse Ensemble of Deep Networkscited by 138
  22. 2020Uncertainty Quantification and Deep Ensemblescited by 138
  23. 2021Epistemic Neural Networkscited by 120
  24. 2018Benchmarking Neural Network Robustness to Common Corruptions and Surface Variationscited by 99
  25. 2020Bayesian Deep Ensembles via the Neural Tangent Kernelcited by 90
  26. 2021Uncertainty Baselines: Benchmarks for Uncertainty & Robustness in Deep Learningcited by 81
  27. 2020Understanding Double Descent Requires a Fine-Grained Bias-Variance Decompositioncited by 75
  28. 2021The Evolution of Out-of-Distribution Robustness Throughout Fine-Tuningcited by 74
  29. 2020Neural Ensemble Search for Uncertainty Estimation and Dataset Shiftcited by 56
  30. 2021Diversity and Generalization in Neural Network Ensemblescited by 32
  31. 2021Deep Ensembles from a Bayesian Perspectivecited by 27
  32. 2020On Power Laws in Deep Ensemblescited by 26
  33. 2020When Ensembling Smaller Models is More Efficient than Single Large Modelscited by 19

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 10; 2023: 9; 2024: 16; 2025: 15; 2026: 13.

63 papers.

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  1. 2022Quantifying Aleatoric and Epistemic Uncertainty in Machine Learning: Are Conditional Entropy and Mutual Information Appropriate Measures?cited by 124
  2. 2024COME: Test-time adaption by Conservatively Minimizing Entropycited by 31
  3. 2024CreINNs: Credal-Set Interval Neural Networks for Uncertainty Estimation in Classification Taskscited by 26
  4. 2023Joint Training of Deep Ensembles Fails Due to Learner Collusioncited by 23
  5. 2023When are ensembles really effective?cited by 21
  6. 2023Random-Set Neural Networks (RS-NN)cited by 19
  7. 2023Pathologies of Predictive Diversity in Deep Ensemblescited by 16
  8. 2023How to Fix a Broken Confidence Estimator: Evaluating Post-hoc Methods for Selective Classification with Deep Neural Networkscited by 15
  9. 2022On the Usefulness of Deep Ensemble Diversity for Out-of-Distribution Detectioncited by 14
  10. 2024Credal Wrapper of Model Averaging for Uncertainty Estimation in Classificationcited by 13
  11. 2024Sampling from Bayesian Neural Network Posteriors with Symmetric Minibatch Splitting Langevin Dynamicscited by 12
  12. 2025Uncertainty Quantification with the Empirical Neural Tangent Kernelcited by 11
38 more
  1. 2024Equipping Computational Pathology Systems with Artifact Processing Pipelines: A Showcase for Computation and Performance Trade-offscited by 9
  2. 2024Posterior Uncertainty Quantification in Neural Networks using Data Augmentationcited by 9
  3. 2024Accuracy on the wrong line: On the pitfalls of noisy data for out-of-distribution generalisationcited by 9
  4. 2022On the Calibration of Probabilistic Classifier Setscited by 8
  5. 2024Out-of-Distribution Detection via Deep Multi-Comprehension Ensemblecited by 8
  6. 2024Relaxed Quantile Regression: Prediction Intervals for Asymmetric Noisecited by 8
  7. 2025Epistemic Artificial Intelligence is Essential for Machine Learning Models to Truly 'Know When They Do Not Know'cited by 8
  8. 2025A calibration test for evaluating set-based epistemic uncertainty representationscited by 7
  9. 2024FedCal: Achieving Local and Global Calibration in Federated Learning via Aggregated Parameterized Scalercited by 6
  10. 2024Theoretical Limitations of Ensembles in the Age of Overparameterizationcited by 6
  11. 2022Aggregating distribution forecasts from deep ensemblescited by 5
  12. 2022Deep interpretable ensemblescited by 5
  13. 2023Logit-Based Ensemble Distribution Distillation for Robust Autoregressive Sequence Uncertaintiescited by 5
  14. 2024BayTTA: Uncertainty-aware medical image classification with optimized test-time augmentation using Bayesian model averagingcited by 5
  15. 2025Graph Evidential Learning for Anomaly Detectioncited by 5
  16. 2022Deep Ensembles for Graphs with Higher-order Dependenciescited by 3
  17. 2022Deep Combinatorial Aggregationcited by 3
  18. 2025UASTHN: Uncertainty-Aware Deep Homography Estimation for UAV Satellite-Thermal Geo-localizationcited by 3
  19. 2026Position: agentic AI orchestration should be Bayes-consistentcited by 3
  20. 2026Random-Set Graph Neural Networkscited by 3
  21. 2024The Disparate Benefits of Deep Ensemblescited by 2
  22. 2024Neural Network Prediction of Strong Lensing Systems with Domain Adaptation and Uncertainty Quantificationcited by 2
  23. 2025Are vision language models robust to uncertain inputs?cited by 2
  24. 2025Credal Graph Neural Networkscited by 2
  25. 2022A cGAN Ensemble-based Uncertainty-aware Surrogate Model for Offline Model-based Optimization in Industrial Control Problemscited by 1
  26. 2022Success of Uncertainty-Aware Deep Models Depends on Data Manifold Geometrycited by 1
  27. 2023Diversifying Deep Ensembles: A Saliency Map Approach for Enhanced OOD Detection, Calibration, and Accuracycited by 1
  28. 2023Uncertainty Quantification for Image-based Traffic Prediction across Citiescited by 1
  29. 2023Private Synthetic Data Meets Ensemble Learningcited by 1
  30. 2025Temporal Distribution Shift in Real-World Pharmaceutical Data: Implications for Uncertainty Quantification in QSAR Modelscited by 1
  31. 2025Last Layer Hamiltonian Monte Carlocited by 1
  32. 2026Set-based v.s. Distribution-based Representations of Epistemic Uncertainty: A Comparative Studycited by 1
  33. 2022Learning New Tasks from a Few Examples with Soft-Label Prototypescited by 0
  34. 2024Improved Robustness for Deep Learning-based Segmentation of Multi-Center Myocardial Perfusion MRI Datasets Using Data Adaptive Uncertainty-guided Space-time Analysiscited by 0
  35. 2024Uncertainty quantification for White Matter Hyperintensity segmentation detects silent failures and improves automated Fazekas quantificationcited by 0
  36. 2025Increasing NWP Thunderstorm Predictability Using Ensemble Data and Machine Learningcited by 0
  37. 2025Predicting gene essentiality and drug response from perturbation screens in preclinical cancer models with LEAP: Layered Ensemble of Autoencoders and Predictorscited by 0
  38. 2025Entropy-regularized Gradient Estimators for Approximate Bayesian Inferencecited by 0

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