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Approximate message passing (AMP) algorithms are devised under the Gaussianity assumption of the measurement noise vector. In this work, we relax this assumption within the vector AMP (VAMP) framework to arbitrary independent and…

Information Theory · Computer Science 2024-02-07 Mohamed Akrout , Tiancheng Gao , Faouzi Bellili , Amine Mezghani

We analyse a linear regression problem with nonconvex regularization called smoothly clipped absolute deviation (SCAD) under an overcomplete Gaussian basis for Gaussian random data. We propose an approximate message passing (AMP) algorithm…

Machine Learning · Statistics 2018-04-04 Ayaka Sakata , Yingying Xu

Performing X-ray computed tomography (CT) examinations with less radiation has recently received increasing interest: in medical imaging this means less (potentially harmful) radiation for the patient; in non-destructive testing of…

Medical Physics · Physics 2018-09-25 Dragos Trinca , Eduard Libin

Approximate message-passing (AMP) method is a simple and efficient framework for the linear inverse problems. In this letter, we propose a faster AMP to solve the \emph{$L_1$-Split-Analysis} for the 2D sparsity separation, which is referred…

Information Theory · Computer Science 2015-07-13 Jaewook Kang , Hyoyoung Jung , Kiseon Kim

Increasing use of CT in modern medical practice has raised concerns over associated radiation dose. Reduction of radiation dose associated with CT can increase noise and artifacts, which can adversely affect diagnostic confidence. Denoising…

Computer Vision and Pattern Recognition · Computer Science 2017-02-24 Qingsong Yang , Pingkun Yan , Mannudeep K. Kalra , Ge Wang

This paper considers the massive connectivity problem in an asynchronous grant-free random access system, where a huge number of devices sporadically transmit data to a base station (BS) with imperfect synchronization. The goal is to design…

Information Theory · Computer Science 2021-01-05 Weifeng Zhu , Meixia Tao , Xiaojun Yuan , Yunfeng Guan

Approximate message passing (AMP) is a low-cost iterative signal recovery algorithm for linear system models. When the system transform matrix has independent identically distributed (IID) Gaussian entries, the performance of AMP can be…

Information Theory · Computer Science 2017-01-25 Junjie Ma , Li Ping

Turbo compressed sensing (Turbo-CS) is an efficient iterative algorithm for sparse signal recovery with partial orthogonal sensing matrices. In this paper, we extend the Turbo-CS algorithm to solve compressed sensing problems involving more…

Information Theory · Computer Science 2017-03-28 Zhipeng Xue , Junjie Ma , Xiaojun Yuan

Computed Tomography (CT) reconstruction is a fundamental component to a wide variety of applications ranging from security, to healthcare. The classical techniques require measuring projections, called sinograms, from a full 180$^\circ$…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle Champley , Timo Bremer

In this work we aim to solve the compressed sensing problem for the case of a complex unknown vector by utilizing the Bayesian-optimal structured signal approximate message passing (BOSSAMP) algorithm on the jointly sparse real and…

Information Theory · Computer Science 2015-11-30 Gabor Hannak , Martin Mayer , Gerald Matz , Norbert Goertz

Pre-trained large models attract widespread attention in recent years, but they face challenges in applications that require high interpretability or have limited resources, such as physical sensing, medical imaging, and bioinformatics.…

Machine Learning · Computer Science 2025-01-24 Chaoqing Tang , Huanze Zhuang , Guiyun Tian , Zhenli Zeng , Yi Ding , Wenzhong Liu , Xiang Bai

We propose regularized approximate message passing (RAMP), a low-complexity algorithm for discrete signal detection in overloaded multiple-input multiple-output (MIMO) systems where the number of transmit antennas exceeds the number of…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Shreesal Shrestha , Getuar Rexhepi , Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

Photoacoustic tomography is a hybrid biomedical technology, which combines the advantages of acoustic and optical imaging. However, for the conventional image reconstruction method, the image quality is affected obviously by artifacts under…

Image and Video Processing · Electrical Eng. & Systems 2024-06-26 Bowei Yao , Yi Zeng , Haizhao Dai , Qing Wu , Youshen Xiao , Fei Gao , Yuyao Zhang , Jingyi Yu , Xiran Cai

Three-dimensional coronary magnetic resonance angiography (CMRA) demands reconstruction algorithms that can significantly suppress the artifacts from a heavily undersampled acquisition. While unrolling-based deep reconstruction methods have…

Image and Video Processing · Electrical Eng. & Systems 2024-02-05 Zhihao Xue , Fan Yang , Juan Gao , Zhuo Chen , Hao Peng , Chao Zou , Hang Jin , Chenxi Hu

This article addresses the problem of multiple preamble detection in random access systems based on orthogonal time frequency space (OTFS) signaling. This challenge is formulated as a structured sparse recovery problem in the complex…

Signal Processing · Electrical Eng. & Systems 2025-09-05 Alessandro Mirri , Vishnu Teja Kunde , Enrico Paolini , Jean-Francois Chamberland

Conformal prediction has emerged as a powerful tool for building prediction intervals that are valid in a distribution-free way. However, its evaluation may be computationally costly, especially in the high-dimensional setting where the…

Machine Learning · Statistics 2025-11-13 Lucas Clarté , Lenka Zdeborová

Approximate message passing (AMP) refers to a class of efficient algorithms for statistical estimation in high-dimensional problems such as compressed sensing and low-rank matrix estimation. This paper analyzes the performance of AMP in the…

Information Theory · Computer Science 2018-10-23 Cynthia Rush , Ramji Venkataramanan

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these artifacts can be reduced by iterative image reconstruction…

Numerical Analysis · Mathematics 2024-12-20 Stephan Antholzer , Johannes Schwab , Robert Nuster , Markus Haltmeier

This paper considers a discrete-valued signal estimation scheme based on a low-complexity Bayesian optimal message passing algorithm (MPA) for solving massive linear inverse problems under highly correlated measurements. Gaussian belief…

Signal Processing · Electrical Eng. & Systems 2024-11-14 Tomoharu Furudoi , Takumi Takahashi , Shinsuke Ibi , Hideki Ochiai

A major challenge in X-ray computed tomography (CT) is reducing radiation dose while maintaining high quality of reconstructed images. To reduce the radiation dose, one can reduce the number of projection views (sparse-view CT); however, it…

Machine Learning · Statistics 2019-09-17 Xuehang Zheng , Il Yong Chun , Zhipeng Li , Yong Long , Jeffrey A. Fessler