4 papers
Coupled Elastic-Acoustic Modelling for Quantitative Photoacoustic Tomography
Hwan Goh, Timo Lahivaara, Tanja Tarvainen +4
Quantitative photoacoustic tomography (qPAT) is an imaging technique aimed at estimating chromophore concentrations inside tissues from photoacoustic images, which are formed by co…
What can be estimated? Identifiability, estimability, causal inference and ill-posed inverse problems
Oliver J. Maclaren, Ruanui Nicholson
We consider basic conceptual questions concerning the relationship between statistical estimation and causal inference. Firstly, we show how to translate causal inference problems…
Incorporating Posterior-Informed Approximation Errors into a Hierarchical Framework to Facilitate Out-of-the-Box MCMC Sampling for Geothermal Inverse Problems and Uncertainty Quantification
Oliver J. Maclaren, Ruanui Nicholson, Elvar K. Bjarkason +2
We consider geothermal inverse problems and uncertainty quantification from a Bayesian perspective. Our main goal is to make standard, `out-of-the-box' Markov chain Monte Carlo (MC…
An Additive Approximation to Multiplicative Noise
Ruanui Nicholson, Jari P. Kaipio
Multiplicative noise models are often used instead of additive noise models in cases in which the noise variance depends on the state. Furthermore, when Poisson distributions with…