292 citations · 410 across the 25 of their papers we have counts for
26 papers
A Minimal Set of Shannon-type Inequalities for Functional Dependence Structures
Satyajit Thakor, Terence Chan, Alex Grant
The minimal set of Shannon-type inequalities (referred to as elemental inequalities), plays a central role in determining whether a given inequality is Shannon-type. Often, there a…
Capacity Bounds for Networks with Correlated Sources and Characterisation of Distributions by Entropies
Satyajit Thakor, Terence Chan, Alex Grant
Characterising the capacity region for a network can be extremely difficult. Even with independent sources, determining the capacity region can be as hard as the open problem of ch…
Characterising Probability Distributions via Entropies
Satyajit Thakor, Terence Chan, Alex Grant
Characterising the capacity region for a network can be extremely difficult, especially when the sources are dependent. Most existing computable outer bounds are relaxations of the…
Compression and Recovery of Distributed Random Signals
Alex Grant, Anatoli Torokhti, Pablo Soto-Quiros
We consider the case when a set of spatially distributed sensors make local observations which are noisy versions of a signal of interest. Each sensor transmits compressed informat…
Finding a closest point in a lattice of Voronoi's first kind
Robby G. McKilliam, Alex Grant, I. Vaughan L. Clarkson
We show that for those lattices of Voronoi's first kind with known obtuse superbasis, a closest lattice point can be computed in operations where is the dimension of t…
On the Capacity of Networks with Correlated Sources
Satyajit Thakor, Terence Chan, Alex Grant
Characterizing the capacity region for a network can be extremely difficult. Even with independent sources, determining the capacity region can be as hard as the open problem of ch…