156 citations · 1.4k across the 61 of their papers we have counts for
4 papers · 1 filter
A de Bruijn identity for symmetric stable laws
Oliver Johnson
We show how some attractive information--theoretic properties of Gaussians pass over to more general families of stable densities. We define a new score function for symmetric stab…
Group testing algorithms: bounds and simulations
Matthew Aldridge, Leonardo Baldassini, Oliver Johnson
We consider the problem of non-adaptive noiseless group testing of items of which are defective. We describe four detection algorithms: the COMP algorithm of Chan et al.; t…
Discrete versions of the transport equation and the Shepp-Olkin conjecture
Erwan Hillion, Oliver Johnson
We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coefficients which allow us to characterize transport problems i…
The Capacity of Adaptive Group Testing
Leonardo Baldassini, Oliver Johnson, Matthew Aldridge
We define capacity for group testing problems and deduce bounds for the capacity of a variety of noisy models, based on the capacity of equivalent noisy communication channels. For…