[BOOK][B] Network information theory

A El Gamal, YH Kim - 2011 - books.google.com
This comprehensive treatment of network information theory and its applications provides
the first unified coverage of both classical and recent results. With an approach that …

The relation between Granger causality and directed information theory: A review

PO Amblard, OJJ Michel - Entropy, 2012 - mdpi.com
This report reviews the conceptual and theoretical links between Granger causality and
directed information theory. We begin with a short historical tour of Granger causality …

Minimax optimal procedures for locally private estimation

JC Duchi, MI Jordan, MJ Wainwright - Journal of the American …, 2018 - Taylor & Francis
Working under a model of privacy in which data remain private even from the statistician, we
study the tradeoff between privacy guarantees and the risk of the resulting statistical …

Estimating the directed information to infer causal relationships in ensemble neural spike train recordings

CJ Quinn, TP Coleman, N Kiyavash… - Journal of computational …, 2011 - Springer
Advances in recording technologies have given neuroscience researchers access to large
amounts of data, in particular, simultaneous, individual recordings of large groups of …

Directed information graphs

CJ Quinn, N Kiyavash… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
We propose a graphical model for representing networks of stochastic processes, the
minimal generative model graph. It is based on reduced factorizations of the joint distribution …

Semantic-aware privacy-preserving online location trajectory data sharing

Z Zheng, Z Li, H Jiang, LY Zhang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Although users can obtain various services by sharing their location information online with
location-based service providers, it reveals sensitive information about users. However …

LQG control with minimum directed information: Semidefinite programming approach

T Tanaka, PM Esfahani, SK Mitter - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We consider a discrete-time linear-quadratic-Gaussian (LQG) control problem, in which
Massey's directed information from the observed output of the plant to the control input is …

Universal estimation of directed information

J Jiao, HH Permuter, L Zhao, YH Kim… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Four estimators of the directed information rate between a pair of jointly stationary ergodic
finite-alphabet processes are proposed, based on universal probability assignments. The …

Neural estimation and optimization of directed information over continuous spaces

D Tsur, Z Aharoni, Z Goldfeld… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This work develops a new method for estimating and optimizing the directed information rate
between two jointly stationary and ergodic stochastic processes. Building upon recent …

Cheeger inequalities for submodular transformations

Y Yoshida - Proceedings of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
The Cheeger inequality for undirected graphs, which relates the conductance of an
undirected graph and the second smallest eigenvalue of its normalized Laplacian, is a …