mlsanityData to 14 Oct 2026

Deep Unfolded Robust PCA with Application to Clutter Suppression in Ultrasound

arXiv 1811.08252 ↗First posted 20 Nov 2018cs.LG eess.SP stat.MLcited by 44

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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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  10. 2025RPCANet++: Deep Interpretable Robust PCA for Sparse Object Segmentationcited by 12
  11. 2021DA-MUSIC: Data-Driven DoA Estimation via Deep Augmented MUSIC Algorithmcited by 10
  12. 2021Deep Unrolled Recovery in Sparse Biological Imagingcited by 10
32 more
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  4. 2021Deep Algorithm Unrolling for Biomedical Imagingcited by 6
  5. 2022Robust PCA Unrolling Network for Super-resolution Vessel Extraction in X-ray Coronary Angiographycited by 6
  6. 2023Deep Graph Unfolding for Beamforming in MU-MIMO Interference Networkscited by 6
  7. 2025DISTA-Net: Dynamic Closely-Spaced Infrared Small Target Unmixingcited by 5
  8. 2021Ultrasound Speckle Suppression and Denoising using MRI-derived Normalizing Flow Priorscited by 4
  9. 2023Optimization Guarantees of Unfolded ISTA and ADMM Networks With Smooth Soft-Thresholdingcited by 4
  10. 2025Deep FlexQP: Accelerated Nonlinear Programming via Deep Unfoldingcited by 4
  11. 2021Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensingcited by 2
  12. 2022Ultrasound Signal Processing: From Models to Deep Learningcited by 2
  13. 2023Deep Unrolling for Nonconvex Robust Principal Component Analysiscited by 2
  14. 2025Learnable Scaled Gradient Descent for Guaranteed Robust Tensor PCAcited by 2
  15. 2021Deep learned SVT: Unrolling singular value thresholding to obtain better MSEcited by 1
  16. 2022Working memory inspired hierarchical video decomposition with transformative representationscited by 1
  17. 2025Near Field Localization via AI-Aided Subspace Methodscited by 1
  18. 2025mSQUID: Model-Based Leanred Modulo Recovery at Low Sampling Ratescited by 1
  19. 2026Bayesian Signal Component Decomposition via Diffusion-within-Gibbs Samplingcited by 1
  20. 2021Unsupervised Deep Learning by Injecting Low-Rank and Sparse Priorscited by 0
  21. 2021Tunable Image Quality Control of 3-D Ultrasound using Switchable CycleGANcited by 0
  22. 2022A Note on Machine Learning Approach for Computational Imagingcited by 0
  23. 2022A Deep-Unfolded Spatiotemporal RPCA Network For L+S Decompositioncited by 0
  24. 2022Unrolling SVT to obtain computationally efficient SVT for n-qubit quantum state tomographycited by 0
  25. 2024Deep Spatiotemporal Clutter Filtering of Transthoracic Echocardiographic Images: Leveraging Contextual Attention and Residual Learningcited by 0
  26. 2024Optimal Bound for PCA with Outliers using Higher-Degree Voronoi Diagramscited by 0
  27. 2024Adaptive Anomaly Detection in Network Flows with Low-Rank Tensor Decompositions and Deep Unrollingcited by 0
  28. 2025Robust Spatiotemporal Forecasting Using Adaptive Deep-Unfolded Variational Mode Decompositioncited by 0
  29. 2025Nuclear Diffusion Models for Low-Rank Background Suppression in Videoscited by 0
  30. 2025Unsupervised Unfolded rPCA (U2-rPCA): Deep Interpretable Clutter Filtering for Ultrasound Microvascular Imagingcited by 0
  31. 2026RF-LEGO: Modularized Signal Processing-Deep Learning Co-Design for RF Sensing via Deep Unrollingcited by 0
  32. 2026DISTA-Net++: Rethinking Infrared Small Target Unmixing Beyond Sub-Pixel Separationcited by 0