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X-ray Computed Tomography (CT) reconstruction from a sparse number of views is a useful way to reduce either the radiation dose or the acquisition time, for example in fixed-gantry CT systems, however this results in an ill-posed inverse…

Data Structures and Algorithms · Computer Science 2020-11-04 Alessandro Perelli , Michael Lexa , Ali Can , Mike E. Davies

Approximate Message Passing (AMP) algorithms are a family of iterative algorithms based on large random matrices with the special property of tracking the statistical properties of their iterates. They are used in various fields such as…

Probability · Mathematics 2025-03-27 Mohammed-Younes Gueddari , Walid Hachem , Jamal Najim

In this paper, we propose a new deep unfolding neural network based on the ADMM algorithm for analysis Compressed Sensing. The proposed network jointly learns a redundant analysis operator for sparsification and reconstructs the signal of…

Information Theory · Computer Science 2022-05-03 Vasiliki Kouni , Georgios Paraskevopoulos , Holger Rauhut , George C. Alexandropoulos

Future cellular networks will support a massive number of devices as a result of emerging technologies such as Internet-of-Things and sensor networks. Enhanced by machine type communication (MTC), low-power low-complex devices in the order…

Information Theory · Computer Science 2017-09-18 Kamil Senel , Erik G. Larsson

The denoising-based approximate message passing (D-AMP) methodology, recently proposed by Metzler, Maleki, and Baraniuk, allows one to plug in sophisticated denoisers like BM3D into the AMP algorithm to achieve state-of-the-art compressive…

Information Theory · Computer Science 2016-11-07 Philip Schniter , Sundeep Rangan , Alyson Fletcher

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…

Machine Learning · Statistics 2025-09-30 Christian Keup , Lenka Zdeborová

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

Approximate Message Passing (AMP) algorithms provide a valuable tool for studying mean-field approximations and dynamics in a variety of applications. Although these algorithms are often first derived for matrices having independent…

Probability · Mathematics 2024-09-10 Tianhao Wang , Xinyi Zhong , Zhou Fan

In the era of Internet of Things (IoT) technologies the potential for privacy invasion is becoming a major concern especially in regards to healthcare data and Ambient Assisted Living (AAL) environments. Systems that offer AAL technologies…

Signal Processing · Electrical Eng. & Systems 2018-02-27 Ismini Psychoula , Erinc Merdivan , Deepika Singh , Liming Chen , Feng Chen , Sten Hanke , Johannes Kropf , Andreas Holzinger , Matthieu Geist

Most existing studies on joint activity detection and channel estimation for grant-free massive random access (RA) systems assume perfect synchronization among all active users, which is hard to achieve in practice. Therefore, this paper…

Signal Processing · Electrical Eng. & Systems 2023-05-23 Xinyu Bian , Yuyi Mao , Jun Zhang

We consider the problem of inferring the input and hidden variables of a stochastic multi-layer neural network from an observation of the output. The hidden variables in each layer are represented as matrices. This problem applies to signal…

Machine Learning · Computer Science 2020-01-28 Parthe Pandit , Mojtaba Sahraee-Ardakan , Sundeep Rangan , Philip Schniter , Alyson K. Fletcher

Generalised approximate message passing (GAMP) is an approximate Bayesian estimation algorithm for signals observed through a linear transform with a possibly non-linear subsequent measurement model. By leveraging prior information about…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Christian Schou Oxvig , Thomas Arildsen

Gaussian and quadratic approximations of message passing algorithms on graphs have attracted considerable recent attention due to their computational simplicity, analytic tractability, and wide applicability in optimization and statistical…

Information Theory · Computer Science 2026-03-12 Sundeep Rangan , Alyson K. Fletcher , Vivek K. Goyal , Evan Byrne , Philip Schniter

We propose in this article to build up a collaboration between a deep neural network and a human in the loop to swiftly obtain accurate segmentation maps of remote sensing images. In a nutshell, the agent iteratively interacts with the…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Gaston Lenczner , Adrien Chan-Hon-Tong , Bertrand Le Saux , Nicola Luminari , Guy Le Besnerais

We develop a new algorithm for activity detection for grant-free multiple access in distributed multiple-input multiple-output (MIMO). The algorithm is a distributed version of the approximate message passing (AMP) based on a soft…

Information Theory · Computer Science 2022-09-26 Jianan Bai , Erik G. Larsson

We give a fast, spectral procedure for implementing approximate-message passing (AMP) algorithms robustly. For any quadratic optimization problem over symmetric matrices $X$ with independent subgaussian entries, and any separable AMP…

Data Structures and Algorithms · Computer Science 2024-11-06 Misha Ivkov , Tselil Schramm

Much of Bayesian inference centers around the design of estimators for inverse problems which are optimal assuming the data comes from a known prior. But what do these optimality guarantees mean if the prior is unknown? In recent years,…

Machine Learning · Computer Science 2024-09-20 Aayush Karan , Kulin Shah , Sitan Chen , Yonina C. Eldar

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…

Information Theory · Computer Science 2016-11-03 Yanting Ma , Junan Zhu , Dror Baron

In this paper, we propose to utilize Automated Machine Learning to adaptively search a neural architecture for deepfake detection. This is the first time to employ automated machine learning for deepfake detection. Based on our explored…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Ping Liu , Yuewei Lin , Yang He , Yunchao Wei , Liangli Zhen , Joey Tianyi Zhou , Rick Siow Mong Goh , Jingen Liu

In most existing grant-free (GF) studies, the two key tasks, namely active user detection (AUD) and payload data decoding, are handled separately. In this paper, a two-step dataaided AUD scheme is proposed, namely the initial AUD step and…

Information Theory · Computer Science 2022-07-27 Linjie Yang , Pingzhi Fan , Des McLernon , Li X Zhang