The interplay between information and estimation measures

D Guo, S Shamai, S Verdú - Foundations and Trends® in …, 2013 - nowpublishers.com
This monograph surveys the interactions between information measures and estimation
measures as well as their applications. The emphasis is on formulas that express the major …

A view of information-estimation relations in Gaussian networks

A Dytso, R Bustin, HV Poor, S Shamai - Entropy, 2017 - mdpi.com
Relations between estimation and information measures have received considerable
attention from the information theory community. One of the most notable such relationships …

On the capacity of the peak power constrained vector Gaussian channel: An estimation theoretic perspective

A Dytso, M Al, HV Poor, SS Shitz - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper studies the capacity of an n-dimensional vector Gaussian noise channel subject
to the constraint that an input must lie in the ball of radius R centered at the origin. It is known …

On the role of channel capacity in learning gaussian mixture models

E Romanov, T Bendory… - Conference on Learning …, 2022 - proceedings.mlr.press
This paper studies the sample complexity of learning the $ k $ unknown centers of a
balanced Gaussian mixture model (GMM) in $\mathbb {R}^ d $ with spherical covariance …

Soft-decoding-based strategies for relay and interference channels: Analysis and achievable rates using LDPC codes

A Bennatan, S Shamai… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
We provide a rigorous mathematical analysis of two communication strategies: soft decode-
and-forward (soft-DF) for relay channels and soft partial interference-cancelation (soft-IC) for …

On the Minimum Mean th Error in Gaussian Noise Channels and Its Applications

A Dytso, R Bustin, D Tuninetti… - IEEE Transactions …, 2017 - ieeexplore.ieee.org
The problem of estimating an arbitrary random vector from its observation corrupted by
additive white Gaussian noise, where the cost function is taken to be the minimum mean pth …

The effect of maximal rate codes on the interfering message rate

R Bustin, HV Poor, S Shamai - 2014 IEEE International …, 2014 - ieeexplore.ieee.org
It is shown that, for a subset of input distributions, the effect of maximum rate transmission on
an additional transmitted message, over the additive Gaussian noise channel, is, effectively …

Graph Neural Networks for Physical-Layer Security in Multi-User Flexible-Duplex Networks

T Perera, S Atapattu, Y Fang, J Evans - arXiv preprint arXiv:2402.05378, 2024 - arxiv.org
This paper explores Physical-Layer Security (PLS) in Flexible Duplex (FlexD) networks,
considering scenarios involving eavesdroppers. Our investigation revolves around the …

On communication through a Gaussian channel with an MMSE disturbance constraint

A Dytso, R Bustin, D Tuninetti… - IEEE Transactions …, 2017 - ieeexplore.ieee.org
This paper considers a Gaussian channel with one transmitter and two receivers. The goal is
to maximize the communication rate at the intended/primary receiver subject to a …

Analysis of mismatched estimation errors using gradients of partition functions

W Huleihel, N Merhav - IEEE Transactions on Information …, 2014 - ieeexplore.ieee.org
We consider the problem of signal estimation (denoising) from a statistical-mechanical
perspective, in continuation to a recent work on the analysis of mean-square error (MSE) …