mlsanityData to 14 Oct 2026

Bayesian ECG reconstruction using denoising diffusion generative models

arXiv 2401.05388 ↗First posted 18 Dec 2023eess.SP cs.LG stat.MLcited by 2

On the map: Diffusion models → Medical imaging and segmentation

Abstract (arXiv)

In this work, we propose a denoising diffusion generative model (DDGM) trained with healthy electrocardiogram (ECG) data that focuses on ECG morphology and inter-lead dependence. Our results show that this innovative generative model can successfully generate realistic ECG signals. Furthermore, we explore the application of recent breakthroughs in solving linear inverse Bayesian problems using DDGM. This approach enables the development of several important clinical tools. These include the calculation of corrected QT intervals (QTc), effective noise suppression of ECG signals, recovery of missing ECG leads, and identification of anomalous readings, enabling significant advances in cardiac health monitoring and diagnosis.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in Medical imaging and segmentation, one of 14 directions in Diffusion models. Builds on 29 of its 60 references that are in the map. First posted on arXiv 18 Dec 2023.

Builds on

29 of 60 references.

Closest ancestors · 2

Same direction, newest first

  1. 2023Synthetic ECG Signal Generation using Probabilistic Diffusion Models4 Mar
  2. 2021Solving Inverse Problems in Medical Imaging with Score-Based Generative Models15 Nov

Other references · 27

  1. 2017Attention Is All You Needcited by 60,361
  2. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  3. 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,713
  4. 2020Denoising Diffusion Implicit Modelscited by 9,781
  5. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  6. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
  7. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
  8. 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 3,045
  9. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
  10. 2019An Introduction to Variational Autoencoderscited by 1,000
  11. 2022Denoising Diffusion Restoration Modelscited by 963
  12. 2021Maximum Likelihood Training of Score-Based Diffusion Modelscited by 672
15 more
  1. 2023Practical and Asymptotically Exact Conditional Sampling in Diffusion Modelscited by 232
  2. 2020A Review on Generative Adversarial Networks: Algorithms, Theory, and Applicationscited by 209
  3. 2021SNIPS: Solving Noisy Inverse Problems Stochasticallycited by 191
  4. 2016Stochastic Optimization for Large-scale Optimal Transportcited by 189
  5. 2019Automatic diagnosis of the 12-lead ECG using a deep neural networkcited by 164
  6. 2022From Denoising Diffusions to Denoising Markov Modelscited by 58
  7. 2023Diffusion-based Conditional ECG Generation with Structured State Space Modelscited by 36
  8. 2017Deep Mean-Shift Priors for Image Restorationcited by 34
  9. 2020SimGANs: Simulator-Based Generative Adversarial Networks for ECG Synthesis to Improve Deep ECG Classificationcited by 32
  10. 2022DeScoD-ECG: Deep Score-Based Diffusion Model for ECG Baseline Wander and Noise Removalcited by 25
  11. 2022Semi-supervised Invertible Neural Operators for Bayesian Inverse Problemscited by 25
  12. 2021Deep Unfolding with Normalizing Flow Priors for Inverse Problemscited by 23
  13. 2023A domain-decomposed VAE method for Bayesian inverse problemscited by 6
  14. 2022Utilizing variational autoencoders in the Bayesian inverse problem of photoacoustic tomographycited by 5
  15. 2018A Generative Modeling Approach to Limited Channel ECG Classificationcited by 3

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Citing papers per year: 2024: 1; 2025: 1.

2 papers.

  1. 2024Diffusion Models as Constrained Samplers for Optimization with Unknown Constraintscited by 35
  2. 2025Beyond Log-Concavity and Score Regularity: Improved Convergence Bounds for Score-Based Generative Models in W2-distancecited by 29

Similar, not cited

Close in wording, no citation either way

  1. 2023DiffECG: A Versatile Probabilistic Diffusion Model for ECG Signals Synthesis
  2. 2023Improving Diffusion Models for ECG Imputation with an Augmented Template Prior
  3. 2025Generating Realistic Multi-Beat ECG Signals
  4. 2025High-Fidelity Synthetic ECG Generation via Mel-Spectrogram Informed Diffusion Training
  5. 2026Geometry-Free Conditional Diffusion Modeling for Solving the Inverse Electrocardiography Problem
  6. 2025Simulator and Experience Enhanced Diffusion Model for Comprehensive ECG Generation
  7. 2026ECG-WM: A Physiology-Informed ECG World Model for Clinical Intervention Simulation
  8. 2025ECGTwin: Personalized ECG Generation Using Controllable Diffusion Model