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Drawing on theoretical insights, we advocate an error-based thresholding (EBT) mechanism for learned ISTA (LISTA), which utilizes a function of the layer-wise reconstruction error to suggest a specific threshold for each observation in the…

Machine Learning · Computer Science 2023-12-20 Ziang Li , Kailun Wu , Yiwen Guo , Changshui Zhang

AS-ISTA (Architecture Searched-Iterative Shrinkage Thresholding Algorithm) and AS-FISTA (AS-Fast ISTA) are compressed sensing algorithms introducing structural parameters to ISTA and FISTA to enable architecture search within the iterative…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Ayano Nakai-Kasai , Yusuke Nakane , Tadashi Wadayama

In this paper, we develop a new framework for sensing and recovering structured signals. In contrast to compressive sensing (CS) systems that employ linear measurements, sparse representations, and computationally complex convex/greedy…

Machine Learning · Computer Science 2016-09-01 Ali Mousavi , Ankit B. Patel , Richard G. Baraniuk

Multi-modal Magnetic Resonance Imaging (MRI) offers complementary diagnostic information, but some modalities are limited by the long scanning time. To accelerate the whole acquisition process, MRI reconstruction of one modality from highly…

Image and Video Processing · Electrical Eng. & Systems 2025-01-09 Hao Zhang , Qi Wang , Jun Shi , Shihui Ying , Zhijie Wen

Deep unrolling, or unfolding, is an emerging learning-to-optimize method that unrolls a truncated iterative algorithm in the layers of a trainable neural network. However, the convergence guarantees and generalizability of the unrolled…

Machine Learning · Computer Science 2024-12-02 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

Purpose: To systematically investigate the influence of various data consistency layers, (semi-)supervised learning and ensembling strategies, defined in a $\Sigma$-net, for accelerated parallel MR image reconstruction using deep learning.…

Image and Video Processing · Electrical Eng. & Systems 2019-12-20 Kerstin Hammernik , Jo Schlemper , Chen Qin , Jinming Duan , Ronald M. Summers , Daniel Rueckert

Neural networks that are based on unfolding of an iterative solver, such as LISTA (learned iterative soft threshold algorithm), are widely used due to their accelerated performance. Nevertheless, as opposed to non-learned solvers, these…

Machine Learning · Computer Science 2020-02-20 Aviad Aberdam , Alona Golts , Michael Elad

In this paper, we revisit the class of iterative shrinkage-thresholding algorithms (ISTA) for solving the linear inverse problem with sparse representation, which arises in signal and image processing. It is shown in the numerical…

Optimization and Control · Mathematics 2023-01-18 Bowen Li , Bin Shi , Ya-xiang Yuan

Medical image segmentation is a fundamental task in the community of medical image analysis. In this paper, a novel network architecture, referred to as Convolution, Transformer, and Operator (CTO), is proposed. CTO employs a combination of…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Yi Lin , Dong Zhang , Xiao Fang , Yufan Chen , Kwang-Ting Cheng , Hao Chen

The purpose of this technical report is to review the main properties of an accelerated composite gradient (ACG) method commonly referred to as the Fast Iterative Shrinkage-Thresholding Algorithm (FISTA). In addition, we state a version of…

Optimization and Control · Mathematics 2021-07-06 Weiwei Kong , Jefferson G. Melo , Renato D. C. Monteiro

Magnetic Resonance Imaging (MRI) is a powerful technique employed for non-invasive in vivo visualization of internal structures. Sparsity is often deployed to accelerate the signal acquisition or overcome the presence of motion artifacts,…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Gianluca Giacchi , Isidoros Iakovidis , Bastien Milani , Micah Murray , Benedetta Franceschiello

The fast iterative soft thresholding algorithm (FISTA) is used to solve convex regularized optimization problems in machine learning. Distributed implementations of the algorithm have become popular since they enable the analysis of large…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-25 Saeed Soori , Aditya Devarakonda , James Demmel , Mert Gurbuzbalaban , Maryam Mehri Dehnavi

The degree of malignancy of osteosarcoma and its tendency to metastasize/spread mainly depend on the pathological grade (determined by observing the morphology of the tumor under a microscope). The purpose of this study is to use artificial…

Image and Video Processing · Electrical Eng. & Systems 2022-05-02 Liangrui Pan , Hetian Wang , Lian Wang , Boya Ji , Mingting Liu , Mitchai Chongcheawchamnan , Jin Yuan , Shaoliang Peng

Nowadays deep learning-based methods have achieved a remarkable progress at the image classification task among a wide range of commonly used datasets (ImageNet, CIFAR, SVHN, Caltech 101, SUN397, etc.). SOTA performance on each of the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Kirill Prokofiev , Vladislav Sovrasov

Compressed sensing (CS) computed tomography has been proven to be important for several clinical applications, such as sparse-view computed tomography (CT), digital tomosynthesis and interior tomography. Traditional compressed sensing…

Medical Physics · Physics 2020-12-15 Yi Zhang , Hu Chen , Wenjun Xia , Yang Chen , Baodong Liu , Yan Liu , Huaiqiang Sun , Jiliu Zhou

Learned iterative shrinkage thresholding algorithm (LISTA), which adopts deep learning techniques to learn optimal algorithm parameters from labeled training data, can be successfully applied to small-scale multidimensional harmonic…

Signal Processing · Electrical Eng. & Systems 2021-07-21 Rong Fu , Yimin Liu , Tianyao Huang , Yonina C. Eldar

Multilook processing is a widely used speckle reduction approach in synthetic aperture radar (SAR) imaging. Conventionally, it is achieved by incoherently summing of some independent low-resolution images formulated from overlapping…

Information Theory · Computer Science 2013-10-29 Jian Fang , Zongben Xu , Bingchen Zhang , Wen Hong , Yirong Wu

We propose an unrolled algorithm approach for learning spatially adaptive parameter maps in the framework of convolutional synthesis-based $\ell_1$ regularization. More precisely, we consider a family of pre-trained convolutional filters…

Machine Learning · Computer Science 2025-10-23 Andreas Kofler , Luca Calatroni , Christoph Kolbitsch , Kostas Papafitsoros

Inspired by certain optimization solvers, the deep unfolding network (DUN) has attracted much attention in recent years for image compressed sensing (CS). However, there still exist the following two issues: 1) In existing DUNs, most…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Wenxue Cui , Xiaopeng Fan , Jian Zhang , Debin Zhao

Breast tumor segmentation is a critical task in computer-aided diagnosis (CAD) systems for breast cancer detection because accurate tumor size, shape and location are important for further tumor quantification and classification. However,…

Image and Video Processing · Electrical Eng. & Systems 2020-09-29 Bryar Shareef , Alex Vakanski , Min Xian , Phoebe E. Freer