Statistical estimation of the parameters of a pde (2007)
We consider the class of image recovery problems where the desired image appears as the spatially-varying coefficients of a partial differential equation (PDE), the data consists of measured values...
Efficient Solution of Boundary-Value Problems for Image Reconstruction via Sampling Abstract (2007)
Colin Fox, Geoff Nicholls, Mathias Palm
Non-invasive imaging based on wave scattering remains a difficult problem in those cases where the forward map can only be adequately simulated by solving the appropriate partial-differential...
Bridge estimation of the probability density at a point (2004)
Antonietta Mira, Geoff Nicholls
Bridge estimation, as described by Meng and Wong in 1996, is used to estimate the value taken by a probability density at a point in the state space. When the normalisation of the prior density is...
Bridge estimation of the probability density at a point (2003)
Mira, Antonietta, Nicholls, Geoff
Bridge estimation, as described by Meng and Wong in 1996, is used to estimate the value taken by a probability density at a point in the state space. When the normalisation of the prior density is...
Simulation of ancestral graphs for Monte Carlo integration (2003)
Cloete, Nicoleen, Nicholls, Geoff, Scott, David J.
An ancestral selection graph is a realization of an genealogy-process model which incorporates natural selection. The space of ancestral graphs is a countable union of spaces of unequal dimensions....
Holdaway, Simon J, Fanning, Patricia C, Jones, Martin, Shiner, Justin, Witter, Dan C, Nicholls, Geoff
Analysis of 28 radiocarbon determinations obtained from the excavation of heat retainer hearths from Sturt National Park in western New South Wales, indicates Aboriginal occupation of the arid margin...
Holdaway, Simon J, Fanning, Patricia C, Jones, Martin, Shiner, Justin, Witter, Dan C, Nicholls, Geoff
Analysis of 28 radiocarbon determinations obtained from the excavation of heat retainer hearths from Sturt National Park in western New South Wales, indicates Aboriginal occupation of the arid margin...
Radiocarbon dating with temporal order constraints (2001)
Bayesian methods are now widely used for analysing radiocarbon dates. We find that the non-informative priors in use in the literature generate a bias towards wider date ranges which does not in...
Reservoir offset models for Radiocarbon calibration (2001)
Jones, Martin, Nicholls, Geoff
The purpose of a reservoir offset is to enable the application of calibration data ($mu(theta)$, emph{e.g.} shortciteNP{stuiver:98}) developed for one reservoir (primary reservoir) to CRA's from...
Contents Contents..................................................... iii (2000)
Rick Long, Mark Harrington, Robert Hain, Geoff Nicholls
SG24-5352-00 Take Note! Before using this information and the product it supports, be sure to read the general information in Appendix A, “Special notices ” on page 259. First Edition (January...
Spontaneous Magnetisation in the Plane (2000)
The Arak process is a solvable stochastic process which generates coloured patterns in the plane. Patterns are made up of a variable number of random non-intersecting polygons. We show that the...
Reservoir offset models for Radiocarbon calibration (2000)
The purpose of a reservoir offset is to enable the application of calibration data (µ(theta), e.g. Stuiver et al. 1998) developed for one reservoir (primary reservoir) to CRA's from another...
Spontaneous magnetisation in the plane (2000)
The Arak process is a solvable stochastic process which generates coloured patterns in the plane. Patterns are made up of a variable number of random nonintersecting polygons. We show that the...
Random-walk radiocarbon calibration (2000)
Nicholls, Geoff, Christen, J Andres
In this note we check the interesting recent results of Gomez Portugal Aguilar {it et al} cite{aguilar00}. These authors fit a simple random walk with Gaussian increments to the radiocarbon...
Spontaneous magnetisation in the plane (2000)
The Arak process is a solvable stochastic process which generates coloured patterns in the plane. Patterns are made up of a variable number of random non-intersecting polygons. We show that the...
Radiocarbon dating with temporal order constraints (1999)
Nicholls, Geoff, Jones, Martin
A Bayesian method has been proposed for analysing radiocarbon dates. The method takes into account stratigraphic constraints on recovered calendar dates. We find that the non-informative priors in...
We consider Bayesian image segmentation from a continuum parametric model. This is a class of problems in which a great deal of prior information is generally available. This information is often...
Sampling Conductivity Images via MCMC (1997)
Electrical impedance tomography (EIT) is a technique for imaging the conductivity of material inside an object, using current /voltage measurements at its surface. We demonstrate Bayesian inference...
A Metropolis Sampler for Polygonal Image Reconstruction (1995)
Peter Clifford, Geoff Nicholls
We show how a stochastic model of polygonal objects can provide a Bayesian framework for the interpretation of colouring data in the plane. We describe a particular model and give a Markov Chain...
Peter Clifford, Geoff Nicholls
The Metropolis-Hastings sampler (MH) is a discrete time Markov chain with Metropolis-Hastings dynamics. The measure of interest occurs as the stationary measure of the chain. We show that a sampler...
Ewing, Greg, Nicholls, Geoff, Rodrigo, Allen
We present a Bayesian statistical inference approach for simultaneously estimating mutation rate, population sizes, and migration rates in an island-structured population, using temporal and spatial...
Ewing, Greg, Nicholls, Geoff, Rodrigo, Allen
We present a Bayesian statistical inference approach for simultaneously estimating mutation rate, population sizes, and migration rates in an island-structured population, using temporal and spatial...