Message-passing estimation from quantized samples

U Kamilov, VK Goyal, S Rangan - arXiv preprint arXiv:1105.6368, 2011 - arxiv.org
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 …

Message-passing de-quantization with applications to compressed sensing

US Kamilov, VK Goyal, S Rangan - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
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 …

Approximate message passing with parameter estimation for heavily quantized measurements

S Huang, D Qiu, TD Tran - IEEE Transactions on Signal …, 2022 - ieeexplore.ieee.org
Designing efficient sparse recovery algorithms that could handle noisy quantized
measurements is important in a variety of applications–from radar to source localization …

An expectation-maximization approach to tuning generalized vector approximate message passing

CA Metzler, P Schniter, RG Baraniuk - International Conference on Latent …, 2018 - Springer
Abstract Generalized Vector Approximate Message Passing (GVAMP) is an efficient iterative
algorithm for approximately minimum-mean-squared-error estimation of a random vector x …

Covariance Estimation under One‐bit Quantization

S Dirksen, J Maly, H Rauhut - PAMM, 2021 - Wiley Online Library
We consider the classical problem of estimating the covariance matrix of a subgaussian
distribution from iid samples in the novel context of coarse quantization, ie, instead of having …

Memoryless scalar quantization for random frames

K Melnykova, Ö Yilmaz - Sampling Theory, Signal Processing, and Data …, 2021 - Springer
Memoryless scalar quantization (MSQ) is a common technique to quantize generalized
linear samples of signals. The non-linear nature of quantization makes the analysis of the …

Optimal quantization for compressive sensing under message passing reconstruction

U Kamilov, VK Goyal, S Rangan - 2011 IEEE International …, 2011 - ieeexplore.ieee.org
We consider the optimal quantization of compressive sensing measurements along with
estimation from quantized samples using generalized approximate message passing …

A unified Bayesian inference framework for generalized linear models

X Meng, S Wu, J Zhu - IEEE Signal Processing Letters, 2018 - ieeexplore.ieee.org
In this letter, we present a unified Bayesian inference framework for generalized linear
models (GLM), which iteratively reduces the GLM problem to a sequence of standard linear …

On the Trade-Off Between Bit Depth and Number of Samples for a Basic Approach to Structured Signal Recovery From -Bit Quantized Linear Measurements

M Slawski, P Li - IEEE Transactions on Information Theory, 2018 - ieeexplore.ieee.org
We consider the problem of recovering a high-dimensional structured signal from
independent Gaussian linear measurements each of which is quantized to bits. The focus is …

Non-Bayesian estimation with partially quantized observations

N Harel, T Routtenberg - 2017 22nd International Conference …, 2017 - ieeexplore.ieee.org
In this paper, we consider non-Bayesian parameter estimation in wireless sensor networks
(WSNs) with multiple sensors that have different quantization resolutions. Quantized …