Deep Unfolded Robust PCA with Application to Clutter Suppression in Ultrasound
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Abstract (arXiv)
Contrast enhanced ultrasound is a radiation-free imaging modality which uses encapsulated gas microbubbles for improved visualization of the vascular bed deep within the tissue. It has recently been used to enable imaging with unprecedented subwavelength spatial resolution by relying on super-resolution techniques. A typical preprocessing step in super-resolution ultrasound is to separate the microbubble signal from the cluttering tissue signal. This step has a crucial impact on the final image quality. Here, we propose a new approach to clutter removal based on robust principle component analysis (PCA) and deep learning. We begin by modeling the acquired contrast enhanced ultrasound signal as a combination of a low rank and sparse components. This model is used in robust PCA and was previously suggested in the context of ultrasound Doppler processing and dynamic magnetic resonance imaging. We then illustrate that an iterative algorithm based on this model exhibits improved separation of microbubble signal from the tissue signal over commonly practiced methods. Next, we apply the concept of deep unfolding to suggest a deep network architecture tailored to our clutter filtering problem which exhibits improved convergence speed and accuracy with respect to its iterative counterpart. We compare the performance of the suggested deep network on both simulations and in-vivo rat brain scans, with a commonly practiced deep-network architecture and the fast iterative shrinkage algorithm, and show that our architecture exhibits better image quality and contrast.
Key facts. Cited by 44 papers in the map (data through 14 Oct 2026). First posted on arXiv 20 Nov 2018.
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Citing papers per year: 2021: 13; 2022: 9; 2023: 7; 2024: 3; 2025: 9; 2026: 3.
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- 2025Unsupervised Unfolded rPCA (U2-rPCA): Deep Interpretable Clutter Filtering for Ultrasound Microvascular Imaging1 Oct 2025
- 2025Nuclear Diffusion Models for Low-Rank Background Suppression in Videos25 Sep 2025
- 2025Robust Spatiotemporal Forecasting Using Adaptive Deep-Unfolded Variational Mode Decomposition31 Aug 2025
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32 more
- 2024Adaptive Anomaly Detection in Network Flows with Low-Rank Tensor Decompositions and Deep Unrolling17 Sep 2024
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- 2024Deep Spatiotemporal Clutter Filtering of Transthoracic Echocardiographic Images: Leveraging Contextual Attention and Residual Learning23 Jan 2024
- 2023RPCANet: Deep Unfolding RPCA Based Infrared Small Target Detection2 Nov 2023
- 2023Optimization Guarantees of Unfolded ISTA and ADMM Networks With Smooth Soft-Thresholding12 Sep 2023
- 2023Dehazing Ultrasound using Diffusion Models20 Jul 2023
- 2023Deep Unrolling for Nonconvex Robust Principal Component Analysis12 Jul 2023
- 2023SubspaceNet: Deep Learning-Aided Subspace Methods for DoA Estimation4 Jun 2023
- 2023Towards Constituting Mathematical Structures for Learning to Optimize29 May 2023
- 2023Deep Graph Unfolding for Beamforming in MU-MIMO Interference Networks2 Apr 2023
- 2022Deep Unfolded Tensor Robust PCA with Self-supervised Learning21 Dec 2022
- 2022Unrolling SVT to obtain computationally efficient SVT for n-qubit quantum state tomography17 Dec 2022
- 2022A Deep-Unfolded Spatiotemporal RPCA Network For L+S Decomposition6 Nov 2022
- 2022Theoretical Perspectives on Deep Learning Methods in Inverse Problems29 Jun 2022
- 2022Model-Based Deep Learning: On the Intersection of Deep Learning and Optimization5 May 2022
- 2022Working memory inspired hierarchical video decomposition with transformative representations21 Apr 2022
- 2022Robust PCA Unrolling Network for Super-resolution Vessel Extraction in X-ray Coronary Angiography16 Apr 2022
- 2022Ultrasound Signal Processing: From Models to Deep Learning9 Apr 2022
- 2022A Note on Machine Learning Approach for Computational Imaging24 Feb 2022
- 2021Ultrasound Speckle Suppression and Denoising using MRI-derived Normalizing Flow Priors24 Dec 2021
- 2021Tunable Image Quality Control of 3-D Ultrasound using Switchable CycleGAN6 Dec 2021
- 2021Learned Robust PCA: A Scalable Deep Unfolding Approach for High-Dimensional Outlier Detection11 Oct 2021
- 2021Deep Unrolled Recovery in Sparse Biological Imaging28 Sep 2021
- 2021DA-MUSIC: Data-Driven DoA Estimation via Deep Augmented MUSIC Algorithm22 Sep 2021
- 2021Deep Algorithm Unrolling for Biomedical Imaging15 Aug 2021
- 2021Unsupervised Deep Learning by Injecting Low-Rank and Sparse Priors21 Jun 2021
- 2021Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing7 Jun 2021
- 2021Stable and Interpretable Unrolled Dictionary Learning31 May 2021
- 2021Deep learned SVT: Unrolling singular value thresholding to obtain better MSE14 May 2021
- 2021Learning to Optimize: A Primer and A Benchmark23 Mar 2021
- 2021Improving Generalizability in Limited-Angle CT Reconstruction with Sinogram Extrapolation9 Mar 2021
- 2021Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem20 Jan 2021
- 2021Learning to Optimize: A Primer and A Benchmarkcited by 208
- 2021Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problemcited by 53
- 2022Model-Based Deep Learning: On the Intersection of Deep Learning and Optimizationcited by 50
- 2023RPCANet: Deep Unfolding RPCA Based Infrared Small Target Detectioncited by 44
- 2021Learned Robust PCA: A Scalable Deep Unfolding Approach for High-Dimensional Outlier Detectioncited by 34
- 2022Theoretical Perspectives on Deep Learning Methods in Inverse Problemscited by 22
- 2021Stable and Interpretable Unrolled Dictionary Learningcited by 15
- 2023Towards Constituting Mathematical Structures for Learning to Optimizecited by 13
- 2025RPCANet++: Deep Interpretable Robust PCA for Sparse Object Segmentationcited by 12
- 2021DA-MUSIC: Data-Driven DoA Estimation via Deep Augmented MUSIC Algorithmcited by 10
- 2021Deep Unrolled Recovery in Sparse Biological Imagingcited by 10
- 2021Improving Generalizability in Limited-Angle CT Reconstruction with Sinogram Extrapolationcited by 8
12 most cited of 41 All 41 (JSON)
- 2026DISTA-Net++: Rethinking Infrared Small Target Unmixing Beyond Sub-Pixel Separation16 Sep 2026
- 2026RF-LEGO: Modularized Signal Processing-Deep Learning Co-Design for RF Sensing via Deep Unrolling11 Apr 2026
- 2025Deep FlexQP: Accelerated Nonlinear Programming via Deep Unfolding1 Dec 2025
- 2025mSQUID: Model-Based Leanred Modulo Recovery at Low Sampling Rates21 Oct 2025
- 2025Unsupervised Unfolded rPCA (U2-rPCA): Deep Interpretable Clutter Filtering for Ultrasound Microvascular Imaging1 Oct 2025
- 2025Robust Spatiotemporal Forecasting Using Adaptive Deep-Unfolded Variational Mode Decomposition31 Aug 2025
- 2025RPCANet++: Deep Interpretable Robust PCA for Sparse Object Segmentation6 Aug 2025
- 2025DISTA-Net: Dynamic Closely-Spaced Infrared Small Target Unmixing25 May 2025
- 2025Near Field Localization via AI-Aided Subspace Methods1 Apr 2025
- 2025Learnable Scaled Gradient Descent for Guaranteed Robust Tensor PCA8 Jan 2025
- 2024Adaptive Anomaly Detection in Network Flows with Low-Rank Tensor Decompositions and Deep Unrolling17 Sep 2024
- 2024Optimal Bound for PCA with Outliers using Higher-Degree Voronoi Diagrams13 Aug 2024
12 newest of 41 All 41 (JSON)