5 papers
Bayesian Adversarial Privacy
Cameron Bell, Timothy Johnston, Antoine Luciano +1
Theoretical and applied research into privacy encompasses an incredibly broad swathe of differing approaches, emphases and aims. This work introduces a novel quantitative notion of…
Persuasive Privacy
Joshua J Bon, James Bailie, Judith Rousseau +1
We propose a novel framework for measuring privacy from a Bayesian game-theoretic perspective. This framework enables the creation of new, purpose-driven privacy definitions that a…
Asymptotics of approximate Bayesian computation when summary statistics converge at heterogeneous rates
Caroline Lawless, Christian P. Robert, Judith Rousseau +1
We consider the asymptotic properties of Approximate Bayesian Computation (ABC) for the realistic case of summary statistics with heterogeneous rates of convergence. We allow some…
Asymptotic Properties of Approximate Bayesian Computation
David T. Frazier, Gael M. Martin, Christian P. Robert +1
Approximate Bayesian computation allows for statistical analysis in models with intractable likelihoods. In this paper we consider the asymptotic behaviour of the posterior distrib…
Approximate Bayesian Computation in State Space Models
Gael M. Martin, Brendan P. M. McCabe, Worapree Maneesoonthorn +1
A new approach to inference in state space models is proposed, based on approximate Bayesian computation (ABC). ABC avoids evaluation of the likelihood function by matching observe…