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Background: Photoacoustic Microscopy (PAM) integrates optical and acoustic imaging, offering enhanced penetration depth for detecting optical-absorbing components in tissues. Nonetheless, challenges arise in scanning large areas with high…

医学物理 · 物理学 2023-12-15 Irem Loc , Mehmet Burcin Unlu

We consider the problem of signal estimation in generalized linear models defined via rotationally invariant design matrices. Since these matrices can have an arbitrary spectral distribution, this model is well suited for capturing complex…

机器学习 · 统计学 2022-06-10 Ramji Venkataramanan , Kevin Kögler , Marco Mondelli

Passive acoustic mapping (PAM) is a promising tool for monitoring acoustic cavitation activities in the applications of ultrasound therapy. Data-adaptive beamformers for PAM have better image quality compared to the time exposure acoustics…

人工智能 · 计算机科学 2024-12-04 Yi Zeng , Jinwei Li , Hui Zhu , Shukuan Lu , Jianfeng Li , Xiran Cai

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

信息论 · 计算机科学 2014-10-22 Yanting Ma , Junan Zhu , Dror Baron

While passive acoustic mapping (PAM) has been advanced for monitoring acoustic cavitation activity in focused ultrasound (FUS) therapy, achieving both real-time and high-quality imaging capabilities is still challenging. The angular…

医学物理 · 物理学 2024-12-04 Yi Zeng , Hui Zhu , Jinwei Li , Jianfeng Li , Fei Li , Shukuan Lu , Xiran Cai

We consider communication over the Gaussian multiple-access channel in the regime where the number of users grows linearly with the codelength. In this regime, schemes based on sparse superposition coding can achieve a near-optimal tradeoff…

信息论 · 计算机科学 2025-06-04 Xiaoqi Liu , Kuan Hsieh , Ramji Venkataramanan

The Approximate Message Passing (AMP) algorithm efficiently reconstructs signals which have been sampled with large i.i.d. sub-Gaussian sensing matrices. Central to AMP is its "state evolution", which guarantees that the difference between…

信号处理 · 电气工程与系统科学 2020-09-08 Charles Millard , Aaron T Hess , Boris Mailhé , Jared Tanner

Model-based methods are widely used for reconstruction in compressed sensing (CS) magnetic resonance imaging (MRI), using regularizers to describe the images of interest. The reconstruction process is equivalent to solving a composite…

最优化与控制 · 数学 2024-02-27 Tao Hong , Luis Hernandez-Garcia , Jeffrey A. Fessler

Approximate Message Passing (AMP) is a general framework for iterative algorithms, originally developed for compressed sensing and later extended to a wide range of high-dimensional inference problems. Although recent work has advanced…

信号处理 · 电气工程与系统科学 2026-04-24 Vishnu Teja Kunde , Alessandro Mirri , Jean-Francois Chamberland , Enrico Paolini

The direct expansion of deep neural network (DNN) based wide-band speech enhancement (SE) to full-band processing faces the challenge of low frequency resolution in low frequency range, which would highly likely lead to deteriorated…

声音 · 计算机科学 2022-06-28 Zhongshu Hou , Qinwen Hu , Kai Chen , Jing Lu

Photoacoustic (PA) computed tomography (PACT) shows great potentials in various preclinical and clinical applications. A great number of measurements are the premise that obtains a high-quality image, which implies a low imaging rate or a…

计算机视觉与模式识别 · 计算机科学 2021-06-01 Hengrong Lan , Juze Zhang , Changchun Yang , Fei Gao

We consider the problem of reconstructing the signal and the hidden variables from observations coming from a multi-layer network with rotationally invariant weight matrices. The multi-layer structure models inference from deep generative…

机器学习 · 统计学 2022-12-06 Yizhou Xu , TianQi Hou , ShanSuo Liang , Marco Mondelli

In a recent paper, the authors proposed a new class of low-complexity iterative thresholding algorithms for reconstructing sparse signals from a small set of linear measurements \cite{DMM}. The new algorithms are broadly referred to as AMP,…

信息论 · 计算机科学 2009-11-24 David L. Donoho , Arian Maleki , Andrea Montanari

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 for efficiently solving such high-dimensional regression…

信息论 · 计算机科学 2019-05-07 Hangjin Liu , Cynthia Rush , Dror Baron

Purpose: Quantitative Susceptibility Mapping (QSM) reconstruction is a challenging inverse problem driven by poor conditioning of the field to susceptibility transformation. State-of-art QSM reconstruction methods either suffer from image…

医学物理 · 物理学 2019-03-14 Juan Liu , Andrew S. Nencka , L. Tugan Muftuler , Brad Swearingen , Robin Karr , Kevin M. Koch

We propose and analyze an approximate message passing (AMP) algorithm for the matrix tensor product model, which is a generalization of the standard spiked matrix models that allows for multiple types of pairwise observations over a…

机器学习 · 统计学 2023-06-28 Riccardo Rossetti , Galen Reeves

In this work the dynamic compressive sensing (CS) problem of recovering sparse, correlated, time-varying signals from sub-Nyquist, non-adaptive, linear measurements is explored from a Bayesian perspective. While there has been a handful of…

信息论 · 计算机科学 2015-06-05 Justin Ziniel , Philip Schniter

Bayesian approximate message passing (BAMP) is an efficient method in compressed sensing that is nearly optimal in the minimum mean squared error (MMSE) sense. Bayesian approximate message passing (BAMP) performs joint recovery of multiple…

信息论 · 计算机科学 2019-01-30 Gabor Hannak , Alessandro Perelli , Norbert Goertz , Gerald Matz , Mike E. Davies

We study a class of Approximate Message Passing (AMP) algorithms for symmetric and rectangular spiked random matrix models with orthogonally invariant noise. The AMP iterates have fixed dimension $K \geq 1$, a multivariate non-linearity is…

统计理论 · 数学 2024-06-14 Xinyi Zhong , Tianhao Wang , Zhou Fan

Quantitative photoacoustic tomography (qPAT) is an imaging technique aimed at estimating chromophore concentrations inside tissues from photoacoustic images, which are formed by combining optical information and ultrasonic propagation. The…