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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

This paper proposes a fast approximate message-passing (AMP) algorithm for solving compressed sensing (CS) recovery problems with 1D-finite-difference sparsity in term of MMSE estimation. The proposed algorithm, named ssAMP-BGFD, is…

信息论 · 计算机科学 2015-09-07 Jaewook Kang , Hyoyoung Jung , Heung-No Lee , Kiseon Kim

Quantitative susceptibility mapping (QSM) is a magnetic resonance imaging (MRI) technique that estimates magnetic susceptibility of tissue from Larmor frequency offset measurements. The generation of QSM requires solving a challenging…

医学物理 · 物理学 2020-08-18 Juan Liu , Kevin M. Koch

Accelerated MRI protocols routinely involve a predefined sampling pattern that undersamples the k-space. Finding an optimal pattern can enhance the reconstruction quality, however this optimization is a challenging task. To address this…

图像与视频处理 · 电气工程与系统科学 2024-08-30 Cagan Alkan , Morteza Mardani , Congyu Liao , Zhitao Li , Shreyas S. Vasanawala , John M. Pauly

Photoacoustic (PA) imaging is a biomedical imaging modality capable of acquiring high-contrast images of optical absorption at depths much greater than traditional optical imaging techniques. However, practical instrumentation and geometry…

计算机视觉与模式识别 · 计算机科学 2021-06-02 Mengjie Guo , Hengrong Lan , Changchun Yang , Fei Gao

Estimation of a vector from quantized linear measurements is a common problem for which simple linear techniques are suboptimal -- sometimes greatly so. This paper develops generalized approximate message passing (GAMP) algorithms for…

信息论 · 计算机科学 2015-03-24 Ulugbek Kamilov , Vivek K. Goyal , Sundeep Rangan

This paper considers a compressed-coding scheme that combines compressed sensing with forward error control coding. Approximate message passing (AMP) is used to decode the message. Based on the state evolution analysis of AMP, we derive the…

信息论 · 计算机科学 2024-10-30 Shansuo Liang , Chulong Liang , Junjie Ma , Li Ping

Vector approximate message passing (VAMP) is a computationally simple approach to the recovery of a signal $\mathbf{x}$ from noisy linear measurements $\mathbf{y}=\mathbf{Ax}+\mathbf{w}$. Like the AMP proposed by Donoho, Maleki, and…

信息论 · 计算机科学 2018-03-09 Alyson K. Fletcher , Philip Schniter

A common goal in many research areas is to reconstruct an unknown signal x from noisy linear measurements. Approximate message passing (AMP) is a class of low-complexity algorithms that can be used for efficiently solving such…

信号处理 · 电气工程与系统科学 2020-03-27 Hangjin Liu , Cynthia Rush , Dror Baron

Approximate message passing (AMP) is a scalable, iterative approach to signal recovery. For structured random measurement ensembles, including independent and identically distributed (i.i.d.) Gaussian and rotationally-invariant matrices,…

信息论 · 计算机科学 2023-06-27 Dang Qua Nguyen , Taejoon Kim

This work explores multi-modal inference in a high-dimensional simplified model, analytically quantifying the performance gain of multi-modal inference over that of analyzing modalities in isolation. We present the Bayes-optimal performance…

机器学习 · 统计学 2025-09-30 Christian Keup , Lenka Zdeborová

Quantitative susceptibility mapping (QSM) estimates the underlying tissue magnetic susceptibility from MRI gradient-echo phase signal and typically requires several processing steps. These steps involve phase unwrapping, brain volume…

图像与视频处理 · 电气工程与系统科学 2019-05-16 Hongjiang Wei , Steven Cao , Yuyao Zhang , Xiaojun Guan , Fuhua Yan , Kristen W. Yeom , Chunlei Liu

We address the problem of image reconstruction from incomplete measurements, encompassing both upsampling and inpainting, within a learning-based framework. Conventional supervised approaches require fully sampled ground truth data, while…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Benjamin Walder , Daniel Toader , Robert Nuster , Günther Paltauf , Peter Burgholzer , Gregor Langer , Lukas Krainer , Markus Haltmeier

Approximate message passing (AMP) is a low-cost iterative parameter-estimation technique for certain high-dimensional linear systems with non-Gaussian distributions. AMP only applies to independent identically distributed (IID) transform…

信息论 · 计算机科学 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski

Computer-generated holography (CGH) has gained wide attention with deep learning-based algorithms. However, due to its nonlinear and ill-posed nature, challenges remain in achieving accurate and stable reconstruction. Specifically, ($i$)…

计算机视觉与模式识别 · 计算机科学 2025-09-01 Haomiao Zhang , Zhangyuan Li , Yanling Piao , Zhi Li , Xiaodong Wang , Miao Cao , Xiongfei Su , Qiang Song , Xin Yuan

Approximate Message Passing (AMP) algorithms have seen widespread use across a variety of applications. However, the precise forms for their Onsager corrections and state evolutions depend on properties of the underlying random matrix…

概率论 · 数学 2021-08-16 Zhou Fan

Deep networks have achieved remarkable success in image compressed sensing (CS) task, namely reconstructing a high-fidelity image from its compressed measurement. However, existing works are deficient inincoherent compressed measurement at…

计算机视觉与模式识别 · 计算机科学 2025-08-14 Gang Qu , Ping Wang , Siming Zheng , Xin Yuan

We present a physics-informed deep learning framework to address common limitations in Confocal Laser Scanning Microscopy (CLSM), such as diffraction limited resolution, noise, and undersampling due to low laser power conditions. The…

Quantitative phase microscopy (QPM) is a label-free technique that enables to monitor morphological changes at subcellular level. The performance of the QPM system in terms of spatial sensitivity and resolution depends on the coherence…

Sparse regression codes with approximate message passing (AMP) decoding have gained much attention in recent times. The concepts underlying this coding scheme extend to unsourced access with coded compressed sensing (CCS), as first pointed…