Diversity Matters When Learning From Ensembles
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Abstract (arXiv)
Deep ensembles excel in large-scale image classification tasks both in terms of prediction accuracy and calibration. Despite being simple to train, the computation and memory cost of deep ensembles limits their practicability. While some recent works propose to distill an ensemble model into a single model to reduce such costs, there is still a performance gap between the ensemble and distilled models. We propose a simple approach for reducing this gap, i.e., making the distilled performance close to the full ensemble. Our key assumption is that a distilled model should absorb as much function diversity inside the ensemble as possible. We first empirically show that the typical distillation procedure does not effectively transfer such diversity, especially for complex models that achieve near-zero training error. To fix this, we propose a perturbation strategy for distillation that reveals diversity by seeking inputs for which ensemble member outputs disagree. We empirically show that a model distilled with such perturbed samples indeed exhibits enhanced diversity, leading to improved performance.
Key facts. Cited by 27 papers in the map (data through 7 Oct 2026). Builds on 18 of its 26 references that are in the map. First posted on arXiv 27 Oct 2021.
Builds on
18 of 26 references.
References · 18
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2015Distilling the Knowledge in a Neural Networkcited by 10,076
- 2017On Calibration of Modern Neural Networkscited by 4,860
- 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,888
- 2016Wide Residual Networkscited by 3,057
- 2019Benchmarking Neural Network Robustness to Common Corruptions and Perturbationscited by 2,857
- 2019Can You Trust Your Model's Uncertainty? Evaluating Predictive Uncertainty Under Dataset Shiftcited by 1,274
- 2020Bayesian Deep Learning and a Probabilistic Perspective of Generalizationcited by 480
- 2019Deep Ensembles: A Loss Landscape Perspectivecited by 438
- 2019On the Efficacy of Knowledge Distillationcited by 377
- 2020BatchEnsemble: An Alternative Approach to Efficient Ensemble and Lifelong Learningcited by 368
- 2020Pitfalls of In-Domain Uncertainty Estimation and Ensembling in Deep Learningcited by 208
6 more
- 2020Training independent subnetworks for robust predictioncited by 177
- 2019Ensemble Distribution Distillationcited by 158
- 2017Sobolev Training for Neural Networkscited by 136
- 2018Knowledge Transfer with Jacobian Matchingcited by 73
- 2020Hydra: Preserving Ensemble Diversity for Model Distillationcited by 31
- 2015Early Stopping is Nonparametric Variational Inferencecited by 23
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Citing papers per year: 2022: 8; 2023: 5; 2024: 6; 2025: 3; 2026: 5.
27 papers.
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- 2022Deep Isolation Forest for Anomaly Detectioncited by 90
- 2022Accelerating Dataset Distillation via Model Augmentationcited by 62
- 2022Ensembles for Uncertainty Estimation: Benefits of Prior Functions and Bootstrappingcited by 19
- 2022Verification-Aided Deep Ensemble Selectioncited by 18
- 2022Improving Ensemble Distillation With Weight Averaging and Diversifying Perturbationcited by 6
- 2024MLAE: Masked LoRA Experts for Visual Parameter-Efficient Fine-Tuningcited by 6
- 2022Bayesian posterior approximation with stochastic ensemblescited by 5
- 2023Memory-adaptive Depth-wise Heterogeneous Federated Learningcited by 5
- 2022Functional Ensemble Distillationcited by 3
- 2023Generalized Uncertainty of Deep Neural Networks: Taxonomy and Applicationscited by 2
- 2024Medical Image Debiasing by Learning Adaptive Agreement from a Biased Councilcited by 2
- 2024Fast Ensembling with Diffusion Schr"odinger Bridgecited by 2
15 more
- 2025Fairness of Deep Ensembles: On the interplay between per-group task difficulty and under-representationcited by 2
- 2022Unsupervised Machine Learning for Explainable Health Care Fraud Detectioncited by 1
- 2023Exploring Resiliency to Natural Image Corruptions in Deep Learning using Design Diversitycited by 1
- 2023AST: Effective Dataset Distillation through Alignment with Smooth and High-Quality Expert Trajectoriescited by 1
- 2024Towards a Probabilistic Fusion Approach for Robust Battery Prognosticscited by 1
- 2024Deep Nets with Subsampling Layers Unwittingly Discard Useful Activations at Test-Timecited by 1
- 2025Knowledge Distillation of Uncertainty using Deep Latent Factor Modelcited by 1
- 2023Distilling Influences to Mitigate Prediction Churn in Graph Neural Networkscited by 0
- 2024Efficient Multi-Model Fusion with Adversarial Complementary Representation Learningcited by 0
- 2025Comparison of Deterministic and Probabilistic Machine Learning Algorithms for Precise Dimensional Control and Uncertainty Quantification in Additive Manufacturingcited by 0
- 2026MME: Mixture of Mesh Experts with Random Walk Transformer Gatingcited by 0
- 2026LoMETab: Beyond Rank-1 Ensembles for Tabular Deep Learningcited by 0
- 2026DAMEL: Dual-Axis Multi-Expert Learning for Class-Imbalanced Learningcited by 0
- 2026Efficient Bayesian Deep Ensembles via Analytic Predictive Inferencecited by 0
- 2026The Distributional View of Knowledge Distillationcited by 0
- 2026The Distributional View of Knowledge Distillation15 Aug 2026
- 2026Efficient Bayesian Deep Ensembles via Analytic Predictive Inference7 Jul 2026
- 2026DAMEL: Dual-Axis Multi-Expert Learning for Class-Imbalanced Learning28 May 2026
- 2026LoMETab: Beyond Rank-1 Ensembles for Tabular Deep Learning14 May 2026
- 2026MME: Mixture of Mesh Experts with Random Walk Transformer Gating28 Feb 2026
- 2025Knowledge Distillation of Uncertainty using Deep Latent Factor Model22 Oct 2025
- 2025Comparison of Deterministic and Probabilistic Machine Learning Algorithms for Precise Dimensional Control and Uncertainty Quantification in Additive Manufacturing15 Sep 2025
- 2025Fairness of Deep Ensembles: On the interplay between per-group task difficulty and under-representation24 Jan 2025
- 2024Deep Nets with Subsampling Layers Unwittingly Discard Useful Activations at Test-Time1 Oct 2024
- 2024MLAE: Masked LoRA Experts for Visual Parameter-Efficient Fine-Tuning29 May 2024
- 2024Towards a Probabilistic Fusion Approach for Robust Battery Prognostics24 May 2024
- 2024Fast Ensembling with Diffusion Schr"odinger Bridge24 Apr 2024
15 more
- 2024Efficient Multi-Model Fusion with Adversarial Complementary Representation Learning24 Apr 2024
- 2024Medical Image Debiasing by Learning Adaptive Agreement from a Biased Council22 Jan 2024
- 2023AST: Effective Dataset Distillation through Alignment with Smooth and High-Quality Expert Trajectories16 Oct 2023
- 2023Distilling Influences to Mitigate Prediction Churn in Graph Neural Networks2 Oct 2023
- 2023Exploring Resiliency to Natural Image Corruptions in Deep Learning using Design Diversity15 Mar 2023
- 2023Memory-adaptive Depth-wise Heterogeneous Federated Learning8 Mar 2023
- 2023Generalized Uncertainty of Deep Neural Networks: Taxonomy and Applications2 Feb 2023
- 2022Bayesian posterior approximation with stochastic ensembles15 Dec 2022
- 2022Accelerating Dataset Distillation via Model Augmentation12 Dec 2022
- 2022Unsupervised Machine Learning for Explainable Health Care Fraud Detection5 Nov 2022
- 2022Improving Ensemble Distillation With Weight Averaging and Diversifying Perturbation30 Jun 2022
- 2022Deep Isolation Forest for Anomaly Detection14 Jun 2022
- 2022Ensembles for Uncertainty Estimation: Benefits of Prior Functions and Bootstrapping8 Jun 2022
- 2022Functional Ensemble Distillation5 Jun 2022
- 2022Verification-Aided Deep Ensemble Selection8 Feb 2022
- 2022Deep Isolation Forest for Anomaly Detectioncited by 90
- 2022Accelerating Dataset Distillation via Model Augmentationcited by 62
- 2022Ensembles for Uncertainty Estimation: Benefits of Prior Functions and Bootstrappingcited by 19
- 2022Verification-Aided Deep Ensemble Selectioncited by 18
- 2022Improving Ensemble Distillation With Weight Averaging and Diversifying Perturbationcited by 6
- 2024MLAE: Masked LoRA Experts for Visual Parameter-Efficient Fine-Tuningcited by 6
- 2022Bayesian posterior approximation with stochastic ensemblescited by 5
- 2023Memory-adaptive Depth-wise Heterogeneous Federated Learningcited by 5
- 2022Functional Ensemble Distillationcited by 3
- 2023Generalized Uncertainty of Deep Neural Networks: Taxonomy and Applicationscited by 2
- 2024Medical Image Debiasing by Learning Adaptive Agreement from a Biased Councilcited by 2
- 2024Fast Ensembling with Diffusion Schr"odinger Bridgecited by 2
12 most cited of 26 All 26 (JSON)
- 2026The Distributional View of Knowledge Distillation15 Aug 2026
- 2026Efficient Bayesian Deep Ensembles via Analytic Predictive Inference7 Jul 2026
- 2026DAMEL: Dual-Axis Multi-Expert Learning for Class-Imbalanced Learning28 May 2026
- 2026LoMETab: Beyond Rank-1 Ensembles for Tabular Deep Learning14 May 2026
- 2025Knowledge Distillation of Uncertainty using Deep Latent Factor Model22 Oct 2025
- 2025Comparison of Deterministic and Probabilistic Machine Learning Algorithms for Precise Dimensional Control and Uncertainty Quantification in Additive Manufacturing15 Sep 2025
- 2025Fairness of Deep Ensembles: On the interplay between per-group task difficulty and under-representation24 Jan 2025
- 2024Deep Nets with Subsampling Layers Unwittingly Discard Useful Activations at Test-Time1 Oct 2024
- 2024MLAE: Masked LoRA Experts for Visual Parameter-Efficient Fine-Tuning29 May 2024
- 2024Towards a Probabilistic Fusion Approach for Robust Battery Prognostics24 May 2024
- 2024Fast Ensembling with Diffusion Schr"odinger Bridge24 Apr 2024
- 2024Efficient Multi-Model Fusion with Adversarial Complementary Representation Learning24 Apr 2024
12 newest of 26 All 26 (JSON)