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10 papers · 1 filter
The iterated auxiliary particle filter
Pieralberto Guarniero, Adam M. Johansen, Anthony Lee
We present an offline, iterated particle filter to facilitate statistical inference in general state space hidden Markov models. Given a model and a sequence of observations, the a…
A Widely Linear Complex Autoregressive Process of Order One
Adam M. Sykulski, Sofia C. Olhede, Jonathan M. Lilly
We propose a simple stochastic process for modeling improper or noncircular complex-valued signals. The process is a natural extension of a complex-valued autoregressive process, e…
A New Method for tackling Asymmetric Decision Problems
Peter A. Thwaites, Jim Q. Smith
Chain Event Graphs are probabilistic graphical models designed especially for the analysis of discrete statistical problems which do not admit a natural product space structure. We…
Gibbs flow for approximate transport with applications to Bayesian computation
Jeremy Heng, Arnaud Doucet, Yvo Pokern
Let and be two distributions on the Borel space . Any measurable function …
Crossing Statistics of Anisotropic Stochastic Surface
M. Ghasemi Nezhadhaghighi, S. M. S. Movahed, T. Yasseri +1
In this paper, we propose crossing statistics and its generalization, as a new framework to characterize the anisotropy in a 2D field, e.g. height on a surface, extendable to highe…
Emulation of Higher-Order Tensors in Manifold Monte Carlo Methods for Bayesian Inverse Problems
Shiwei Lan, Tan Bui-Thanh, Mike Christie +1
The Bayesian approach to Inverse Problems relies predominantly on Markov Chain Monte Carlo methods for posterior inference. The typical nonlinear concentration of posterior measure…