mlsanityData to 7 Oct 2026

One-dimensional Deep Low-rank and Sparse Network for Accelerated MRI

arXiv 2112.04721 ↗First posted 9 Dec 2021eess.IV cs.AI cs.CVcited by 27

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Abstract (arXiv)

Deep learning has shown astonishing performance in accelerated magnetic resonance imaging (MRI). Most state-of-the-art deep learning reconstructions adopt the powerful convolutional neural network and perform 2D convolution since many magnetic resonance images or their corresponding k-space are in 2D. In this work, we present a new approach that explores the 1D convolution, making the deep network much easier to be trained and generalized. We further integrate the 1D convolution into the proposed deep network, named as One-dimensional Deep Low-rank and Sparse network (ODLS), which unrolls the iteration procedure of a low-rank and sparse reconstruction model. Extensive results on in vivo knee and brain datasets demonstrate that, the proposed ODLS is very suitable for the case of limited training subjects and provides improved reconstruction performance than state-of-the-art methods both visually and quantitatively. Additionally, ODLS also shows nice robustness to different undersampling scenarios and some mismatches between the training and test data. In summary, our work demonstrates that the 1D deep learning scheme is memory-efficient and robust in fast MRI.

Key facts. Cited by 27 papers in the map (data through 7 Oct 2026). Builds on 18 of its 63 references that are in the map. First posted on arXiv 9 Dec 2021.

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18 of 63 references.

References · 18

  1. 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
  2. 2016TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systemscited by 660
  3. 2018fastMRI: An Open Dataset and Benchmarks for Accelerated MRIcited by 464
  4. 2017MoDL: Model Based Deep Learning Architecture for Inverse Problemscited by 384
  5. 2017Learning a Variational Network for Reconstruction of Accelerated MRI Datacited by 340
  6. 2017Image reconstruction by domain transform manifold learningcited by 231
  7. 2019GrappaNet: Combining Parallel Imaging with Deep Learning for Multi-Coil MRI Reconstructioncited by 45
  8. 2019Deep Generalization of Structured Low-Rank Algorithms (Deep-SLR)cited by 29
  9. 2021Accelerated MRI Reconstruction with Separable and Enhanced Low-Rank Hankel Regularizationcited by 17
  10. 2019Image Reconstruction with Low-rankness and Self-consistency of k-space Data in Parallel MRIcited by 12
  11. 2020A Sparse Model-inspired Deep Thresholding Network for Exponential Signal Reconstruction -- Application in Fast Biological Spectroscopycited by 12
  12. 2019Structured Low-Rank Algorithms: Theory, MR Applications, and Links to Machine Learningcited by 11
6 more
  1. 2015Fast Multi-class Dictionaries Learning with Geometrical Directions in MRI Reconstructioncited by 10
  2. 2019pISTA-SENSE-ResNet for Parallel MRI Reconstructioncited by 10
  3. 2016A Fast Algorithm for Convolutional Structured Low-Rank Matrix Recoverycited by 5
  4. 2021XCloud-pFISTA: A Medical Intelligence Cloud for Accelerated MRIcited by 5
  5. 2018A Generalized Structured Low-Rank Matrix Completion Algorithm for MR Image Recoverycited by 3
  6. 2019Accelerating MR Imaging via Deep Chambolle-Pock Networkcited by 3

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 5; 2023: 9; 2024: 7; 2025: 5; 2026: 1.

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  1. 2023GSURE-Based Diffusion Model Training with Corrupted Datacited by 40
  2. 2023On Efficient Training of Large-Scale Deep Learning Models: A Literature Reviewcited by 26
  3. 2023One for Multiple: Physics-informed Synthetic Data Boosts Generalizable Deep Learning for Fast MRI Reconstructioncited by 14
  4. 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstructioncited by 13
  5. 2022A Faithful Deep Sensitivity Estimation for Accelerated Magnetic Resonance Imagingcited by 5
  6. 2024Deep Separable Spatiotemporal Learning for Fast Dynamic Cardiac MRIcited by 4
  7. 2023Encoding Enhanced Complex CNN for Accurate and Highly Accelerated MRIcited by 3
  8. 2024Score-based Generative Priors Guided Model-driven Network for MRI Reconstructioncited by 3
  9. 2024Paired Conditional Generative Adversarial Network for Highly Accelerated Liver 4D MRIcited by 3
  10. 2023Cloud-Magnetic Resonance Imaging System: In the Era of 6G and Artificial Intelligencecited by 2
  11. 2024MCU-Net: A Multi-prior Collaborative Deep Unfolding Network with Gates-controlled Spatial Attention for Accelerated MR Image Reconstructioncited by 2
  12. 2025Enabling Ultra-Fast Cardiovascular Imaging Across Heterogeneous Clinical Environments with A Generalist Foundation Model and Multimodal Databasecited by 2
15 more
  1. 2022Adaptive Local Neighborhood-based Neural Networks for MR Image Reconstruction from Undersampled Datacited by 1
  2. 2022Low-rank Tensor Assisted K-space Generative Model for Parallel Imaging Reconstructioncited by 1
  3. 2022A Dynamics Theory of Implicit Regularization in Deep Low-Rank Matrix Factorizationcited by 1
  4. 2023AliasNet: Alias Artefact Suppression Network for Accelerated Phase-Encode MRIcited by 1
  5. 2024Simultaneous Deep Learning of Myocardium Segmentation and T2 Quantification for Acute Myocardial Infarction MRIcited by 1
  6. 2024Attention Incorporated Network for Sharing Low-rank, Image and K-space Information during MR Image Reconstruction to Achieve Single Breath-hold Cardiac Cine Imagingcited by 1
  7. 2022Physics-informed Deep Diffusion MRI Reconstruction with Synthetic Data: Break Training Data Bottleneck in Artificial Intelligencecited by 0
  8. 2023Convex Dual Theory Analysis of Two-Layer Convolutional Neural Networks with Soft-Thresholdingcited by 0
  9. 2023A plug-and-play synthetic data deep learning for undersampled magnetic resonance image reconstructioncited by 0
  10. 2024OneNet: A Channel-Wise 1D Convolutional U-Netcited by 0
  11. 2025Advancing MRI Reconstruction: A Systematic Review of Deep Learning and Compressed Sensing Integrationcited by 0
  12. 2025ALL-PET: A Low-resource and Low-shot PET Foundation Model in Projection Domaincited by 0
  13. 2025Robust High-Resolution Multi-Organ Diffusion MRI Using Synthetic-Data-Tuned Prompt Learningcited by 0
  14. 2025Analyse comparative d'algorithmes de restauration en architecture d'epli'ee pour des signaux chromatographiques parcimonieuxcited by 0
  15. 2026CLEAR: Complex Learned Explicit Analytical Regularization for Ultra-Accelerated 4D Flow CMR Reconstructioncited by 0