Statistical physics of inference: Thresholds and algorithms

L Zdeborová, F Krzakala - Advances in Physics, 2016 - Taylor & Francis
Many questions of fundamental interest in today's science can be formulated as inference
problems: some partial, or noisy, observations are performed over a set of variables and the …

Scaling limits of wide neural networks with weight sharing: Gaussian process behavior, gradient independence, and neural tangent kernel derivation

G Yang - arxiv preprint arxiv:1902.04760, 2019 - arxiv.org
Several recent trends in machine learning theory and practice, from the design of state-of-
the-art Gaussian Process to the convergence analysis of deep neural nets (DNNs) under …

From denoising to compressed sensing

CA Metzler, A Maleki… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
A denoising algorithm seeks to remove noise, errors, or perturbations from a signal.
Extensive research has been devoted to this arena over the last several decades, and as a …

Channel estimation in broadband millimeter wave MIMO systems with few-bit ADCs

J Mo, P Schniter, RW Heath - IEEE Transactions on Signal …, 2017 - ieeexplore.ieee.org
We develop a broadband channel estimation algorithm for millimeter wave (mmWave)
multiple input multiple output (MIMO) systems with few-bit analog-to-digital converters …

Generalized approximate message passing for estimation with random linear mixing

S Rangan - 2011 IEEE International Symposium on Information …, 2011 - ieeexplore.ieee.org
We consider the estimation of a random vector observed through a linear transform followed
by a componentwise probabilistic measurement channel. Although such linear mixing …

Expectation-maximization Gaussian-mixture approximate message passing

JP Vila, P Schniter - IEEE Transactions on Signal Processing, 2013 - ieeexplore.ieee.org
When recovering a sparse signal from noisy compressive linear measurements, the
distribution of the signal's non-zero coefficients can have a profound effect on recovery …

A statistical model for tensor PCA

E Richard, A Montanari - Advances in neural information …, 2014 - proceedings.neurips.cc
Abstract We consider the Principal Component Analysis problem for large tensors of
arbitrary order k under a single-spike (or rank-one plus noise) model. On the one hand, we …

State evolution for approximate message passing with non-separable functions

R Berthier, A Montanari… - Information and Inference …, 2020 - academic.oup.com
Given a high-dimensional data matrix, approximate message passing (AMP) algorithms
construct sequences of vectors,, indexed by by iteratively applying or and suitable nonlinear …

Asymptotic analysis of complex LASSO via complex approximate message passing (CAMP)

A Maleki, L Anitori, Z Yang… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Recovering a sparse signal from an undersampled set of random linear measurements is
the main problem of interest in compressed sensing. In this paper, we consider the case …

Cooperative localization in wireless sensor networks with AOA measurements

S Wang, X Jiang, H Wymeersch - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This paper researches the cooperative localization in wireless sensor networks (WSNs) with-
periodic angle-of-arrival (AOA) measurements. Two types of localizers are developed from …