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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…

信息论 · 计算机科学 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…

机器学习 · 统计学 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…

医学物理 · 物理学 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…

信息论 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

信息论 · 计算机科学 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…

信息论 · 计算机科学 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…

信息论 · 计算机科学 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$^\circ$…

计算机视觉与模式识别 · 计算机科学 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…

信息论 · 计算机科学 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.…

机器学习 · 计算机科学 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…

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…

图像与视频处理 · 电气工程与系统科学 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…

图像与视频处理 · 电气工程与系统科学 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…

信号处理 · 电气工程与系统科学 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…

机器学习 · 统计学 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…

信息论 · 计算机科学 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…

数值分析 · 数学 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…

信号处理 · 电气工程与系统科学 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…

机器学习 · 统计学 2019-09-17 Xuehang Zheng , Il Yong Chun , Zhipeng Li , Yong Long , Jeffrey A. Fessler