MRI Reconstruction Using Deep Energy-Based Model
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Abstract (arXiv)
Purpose: Although recent deep energy-based generative models (EBMs) have shown encouraging results in many image generation tasks, how to take advantage of the self-adversarial cogitation in deep EBMs to boost the performance of Magnetic Resonance Imaging (MRI) reconstruction is still desired. Methods: With the successful application of deep learning in a wide range of MRI reconstruction, a line of emerging research involves formulating an optimization-based reconstruction method in the space of a generative model. Leveraging this, a novel regularization strategy is introduced in this article which takes advantage of self-adversarial cogitation of the deep energy-based model. More precisely, we advocate for alternative learning a more powerful energy-based model with maximum likelihood estimation to obtain the deep energy-based information, represented as image prior. Simultaneously, implicit inference with Langevin dynamics is a unique property of re-construction. In contrast to other generative models for reconstruction, the proposed method utilizes deep energy-based information as the image prior in reconstruction to improve the quality of image. Results: Experiment results that imply the proposed technique can obtain remarkable performance in terms of high reconstruction accuracy that is competitive with state-of-the-art methods, and does not suffer from mode collapse. Conclusion: Algorithmically, an iterative approach was presented to strengthen EBM training with the gradient of energy network. The robustness and the reproducibility of the algorithm were also experimentally validated. More importantly, the proposed reconstruction framework can be generalized for most MRI reconstruction scenarios.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 23 of its 49 references that are in the map. First posted on arXiv 7 Sep 2021.
Builds on
23 of 49 references.
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11 more
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Citing papers per year: 2021: 1; 2022: 2; 2023: 1; 2024: 2; 2025: 1; 2026: 1.
8 papers.
- 2021Score-based diffusion models for accelerated MRIcited by 308
- 2022Stable Deep MRI Reconstruction using Generative Priorscited by 21
- 2023Correlated and Multi-frequency Diffusion Modeling for Highly Under-sampled MRI Reconstructioncited by 14
- 2022K-space and Image Domain Collaborative Energy based Model for Parallel MRI Reconstructioncited by 4
- 2024DP-MDM: Detail-Preserving MR Reconstruction via Multiple Diffusion Modelscited by 4
- 2024Sub-DM:Subspace Diffusion Model with Orthogonal Decomposition for MRI Reconstructioncited by 2
- 2025Diffusion-Assisted Frequency Attention Model for Whole-body Low-field MRI Reconstructioncited by 0
- 2026Product-of-Gaussian-Mixture Diffusion Models for Joint Nonlinear MRI Reconstructioncited by 0
- 2026Product-of-Gaussian-Mixture Diffusion Models for Joint Nonlinear MRI Reconstruction11 May 2026
- 2025Diffusion-Assisted Frequency Attention Model for Whole-body Low-field MRI Reconstruction9 Jul 2025
- 2024Sub-DM:Subspace Diffusion Model with Orthogonal Decomposition for MRI Reconstruction6 Nov 2024
- 2024DP-MDM: Detail-Preserving MR Reconstruction via Multiple Diffusion Models9 May 2024
- 2023Correlated and Multi-frequency Diffusion Modeling for Highly Under-sampled MRI Reconstruction2 Sep 2023
- 2022Stable Deep MRI Reconstruction using Generative Priors25 Oct 2022
- 2022K-space and Image Domain Collaborative Energy based Model for Parallel MRI Reconstruction21 Mar 2022
- 2021Score-based diffusion models for accelerated MRI8 Oct 2021