The standard linear regression (SLR) problem is to recover a vector x 0 from noisy linear
observations y= Ax 0+ w. The approximate message passing (AMP) algorithm proposed by …

Magnetic resonance imaging (MRI) is a noninvasive diagnostic tool that provides excellent
soft-tissue contrast without the use of ionizing radiation. Compared to other clinical imaging …

Approximate Message Passing algorithms for rotationally invariant matrices Page 1 The
Annals of Statistics 2022, Vol. 50, No. 1, 197–224 https://doi.org/10.1214/21-AOS2101 © …

Signal recovery from unitarily invariant measurements is investigated in this paper. A
message-passing algorithm is formulated on the basis of expectation propagation (EP). A …

The generalized linear model (GLM), where a random vector x is observed through a noisy,
possibly nonlinear, function of a linear transform output z= Ax, arises in a range of …

There has been a recent surge of interest in the study of asymptotic reconstruction
performance in various cases of generalized linear estimation problems in the teacher …

Estimating a vector $\mathbf {x} $ from noisy linear measurements $\mathbf {Ax+ w} $ often
requires use of prior knowledge or structural constraints on $\mathbf {x} $ for accurate …

Among various massive multiple-input multiple-output (MIMO) signal detection schemes,
expectation propagation (EP) achieves superior performance in high-dimensional systems …

At the heart of machine learning lies the question of generalizability of learned rules over
previously unseen data. While over-parameterized models based on neural networks are …

Deep generative priors offer powerful models for complex-structured data, such as images,
audio, and text. Using these priors in inverse problems typically requires estimating the input …