mlsanityData to 14 Oct 2026

When Are Two Scores Better Than One? Investigating Ensembles of Diffusion Models

arXiv 2601.11444 ↗First posted 16 Jan 2026cs.LG cs.CV math.STcited by 1

On the map: Diffusion models → Diffusion foundations and sampling

Abstract (arXiv)

Diffusion models now generate high-quality, diverse samples, with an increasing focus on more powerful models. Although ensembling is a well-known way to improve supervised models, its application to unconditional score-based diffusion models remains largely unexplored. In this work we investigate whether it provides tangible benefits for generative modelling. We find that while ensembling the scores generally improves the score-matching loss and model likelihood, it fails to consistently enhance perceptual quality metrics such as FID on image datasets. We confirm this observation across a breadth of aggregation rules using Deep Ensembles, Monte Carlo Dropout, on CIFAR-10 and FFHQ. We attempt to explain this discrepancy by investigating possible explanations, such as the link between score estimation and image quality. We also look into tabular data through random forests, and find that one aggregation strategy outperforms the others. Finally, we provide theoretical insights into the summing of score models, which shed light not only on ensembling but also on several model composition techniques (e.g. guidance).

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 71 of its 102 references that are in the map. First posted on arXiv 16 Jan 2026.

Builds on

71 of 102 references.

Closest ancestors · 22

Same direction, newest first

  1. 2025Feynman-Kac Correctors in Diffusion: Annealing, Guidance, and Product of Experts4 Mar
  2. 2025Generative Uncertainty in Diffusion Models28 Feb
  3. 2025Decentralized Diffusion Models9 Jan
  4. 2024The Superposition of Diffusion Models Using the Ito Density Estimator23 Dec
  5. 2024Diffusion Model Guided Sampling with Pixel-Wise Aleatoric Uncertainty Estimation29 Nov
  6. 2024What does guidance do? A fine-grained analysis in a simple setting19 Sep
  7. 2024Diffusion models for Gaussian distributions: Exact solutions and Wasserstein errors23 May
  8. 2024Towards Faster Training of Diffusion Models: An Inspiration of A Consistency Phenomenon14 Mar
  9. 2024Estimating Epistemic and Aleatoric Uncertainty with a Single Model5 Feb
  10. 2023BayesDiff: Estimating Pixel-wise Uncertainty in Diffusion via Bayesian Inference17 Oct
  11. 2023Reduce, Reuse, Recycle: Compositional Generation with Energy-Based Diffusion Models and MCMC22 Feb
  12. 2022Scalable Diffusion Models with Transformers19 Dec
10 more
  1. 2022Convergence of denoising diffusion models under the manifold hypothesis10 Aug
  2. 2022Classifier-Free Diffusion Guidance26 Jul
  3. 2022Maximum Likelihood Training for Score-Based Diffusion ODEs by High-Order Denoising Score Matching16 Jun
  4. 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
  5. 2021Diffusion Models Beat GANs on Image Synthesis11 May
  6. 2021Improved Denoising Diffusion Probabilistic Models18 Feb
  7. 2021Maximum Likelihood Training of Score-Based Diffusion Models22 Jan
  8. 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov
  9. 2020Denoising Diffusion Implicit Models6 Oct
  10. 2020Denoising Diffusion Probabilistic Models19 Jun

Other references · 49

  1. 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,713
  2. 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,355
  3. 2018A Style-Based Generator Architecture for Generative Adversarial Networkscited by 6,013
  4. 2022Flow Matching for Generative Modelingcited by 5,702
  5. 2023Adding Conditional Control to Text-to-Image Diffusion Modelscited by 5,503
  6. 2015Rethinking the Inception Architecture for Computer Visioncited by 5,475
  7. 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,448
  8. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,101
  9. 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,926
  10. 2018Neural Ordinary Differential Equationscited by 3,779
  11. 2019Analyzing and Improving the Image Quality of StyleGANcited by 3,588
  12. 2022Video Diffusion Modelscited by 2,305
37 more
  1. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
  2. 2018Demystifying MMD GANscited by 1,293
  3. 2016HyperNetworkscited by 1,027
  4. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 939
  5. 2022eDiff-I: Text-to-Image Diffusion Models with an Ensemble of Expert Denoiserscited by 931
  6. 2019Modeling Tabular data using Conditional GANcited by 699
  7. 2022Compositional Visual Generation with Composable Diffusion Modelscited by 624
  8. 2019Deep Ensembles: A Loss Landscape Perspectivecited by 443
  9. 2020Reliable Fidelity and Diversity Metrics for Generative Modelscited by 434
  10. 2022TabDDPM: Modelling Tabular Data with Diffusion Modelscited by 377
  11. 2017Snapshot Ensembles: Train 1, get M for freecited by 350
  12. 2023Rethinking FID: Towards a Better Evaluation Metric for Image Generationcited by 310
  13. 2015A note on the evaluation of generative modelscited by 292
  14. 2022The Role of ImageNet Classes in Fr'echet Inception Distancecited by 213
  15. 2020Pitfalls of In-Domain Uncertainty Estimation and Ensembling in Deep Learningcited by 210
  16. 2023Exposing flaws of generative model evaluation metrics and their unfair treatment of diffusion modelscited by 205
  17. 2019Fixup Initialization: Residual Learning Without Normalizationcited by 198
  18. 2022Listen, Denoise, Action! Audio-Driven Motion Synthesis with Diffusion Modelscited by 190
  19. 2020Training independent subnetworks for robust predictioncited by 177
  20. 2015Why M Heads are Better than One: Training a Diverse Ensemble of Deep Networkscited by 139
  21. 2023Score-Based Diffusion Models as Principled Priors for Inverse Imagingcited by 127
  22. 2021Pros and Cons of GAN Evaluation Measures: New Developmentscited by 123
  23. 2022ERNIE-ViLG 2.0: Improving Text-to-Image Diffusion Model with Knowledge-Enhanced Mixture-of-Denoising-Expertscited by 112
  24. 2022STaSy: Score-based Tabular data Synthesiscited by 86
  25. 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 81
  26. 2023A Unified Theory of Diversity in Ensemble Learningcited by 71
  27. 2023Generating and Imputing Tabular Data via Diffusion and Flow-based Gradient-Boosted Treescited by 62
  28. 2021A Survey on Ensemble Learning under the Era of Deep Learningcited by 47
  29. 2018Generalized Robust Bayesian Committee Machine for Large-scale Gaussian Process Regressioncited by 33
  30. 2021MixMo: Mixing Multiple Inputs for Multiple Outputs via Deep Subnetworkscited by 32
  31. 2022Regression as Classification: Influence of Task Formulation on Neural Network Featurescited by 29
  32. 2020Compositional Visual Generation and Inference with Energy Based Modelscited by 26
  33. 2023When are ensembles really effective?cited by 21
  34. 2018MotherNets: Rapid Deep Ensemble Learningcited by 14
  35. 2024Bayesian Experimental Design via Contrastive Diffusionscited by 11
  36. 2023Are Ensembles Getting Better all the Time?cited by 6
  37. 2021Healing Products of Gaussian Processescited by 2

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 1.

1 paper.

Similar, not cited

Close in wording, no citation either way

  1. 2022How Much is Enough? A Study on Diffusion Times in Score-based Generative Models
  2. 2026Where the Score Lives: A Wavelet View of Diffusion
  3. 2025Score Augmentation for Diffusion Models
  4. 2026Generalization Properties of Score-matching Diffusion Models for Intrinsically Low-dimensional Data
  5. 2025Denoising Score Distillation: From Noisy Diffusion Pretraining to One-Step High-Quality Generation
  6. 2025From Score Matching to Diffusion: A Fine-Grained Error Analysis in the Gaussian Setting
  7. 2024The Unreasonable Effectiveness of Gaussian Score Approximation for Diffusion Models and its Applications
  8. 2025Selective Underfitting in Diffusion Models