activity
20182026
most citedEstimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field

21 citations · 47 across the 14 of their papers we have counts for

collaborators

16 papers

math.OC2026

Online Gate-Driven Flow Control in Resin Transfer Moulding Using a Neural-Network Surrogate

Nicholas Wright, Oliver Maclaren, Piaras Kelly +2

In resin transfer moulding, complete saturation of the fibre preform is necessary before the resin front reaches the outlet vent(s), to prevent dry-spot formation. In practice, the…

math.NA2026

Multi-type Sensor Placement for PDE-based Bayesian Inverse Problems

Steven Maio, Alen Alexanderian, Karina Koval +1

We address optimal placement of multi-type sensors for Bayesian inverse problems governed by partial differential equations (PDEs). The proposed framework allows for sensors with d…

stat.ME2026

Beyond Independence: on Jointly Normal Priors in Bayesian Inversion

Ruanui Nicholson, Matti Niskanen, Oliver J. Maclaren +1

We consider joint inversion for two or more unknown parameters from observational data in the Bayesian framework. Standard approaches often either treat the parameters as independe…

math.OC2026

Shape Derivative-Informed Neural Operators with Application to Risk-Averse Shape Optimization

Xindi Gong, Dingcheng Luo, Thomas O'Leary-Roseberry +2

Shape optimization under uncertainty (OUU) is computationally intensive for classical PDE-based methods due to the high cost of repeated sampling-based risk evaluation across many…

math.OC2025

Taylor Approximation Variance Reduction for Approximation Errors in PDE-constrained Bayesian Inverse Problems

Ruanui Nicholson, Radoslav Vuchkov, Umberto Villa +1

In numerous applications, surrogate models are used as a replacement for accurate parameter-to-observable mappings when solving large-scale inverse problems governed by partial dif…

stat.AP2025★ 5 cited

Invariant Image Reparameterisation: Bridging Symbolic and Numerical Methods for Identifiability Analysis, Model Reduction, and Prediction

Oliver J. Maclaren, Ruanui Nicholson, Joel A. Trent +2

Structural and practical parameter non-identifiability issues are common when mathematical models are used to interpret data. Such issues motivate model reparameterisation and redu…

stat.AP2024

Ensemble Kalman Inversion for Geothermal Reservoir Modelling

Alex de Beer, Elvar K Bjarkason, Michael Gravatt +4

Numerical models of geothermal reservoirs typically depend on hundreds or thousands of unknown parameters, which must be estimated using sparse, noisy data. However, these models c…

stat.AP2024

Data Space Inversion for Efficient Predictions and Uncertainty Quantification for Geothermal Models

Alex de Beer, Andrew Power, Daniel Wong +7

The ability to make accurate predictions with quantified uncertainty provides a crucial foundation for the successful management of a geothermal reservoir. Conventional approaches…

math.NA2024

Non-intrusive optimal experimental design for large-scale nonlinear Bayesian inverse problems using a Bayesian approximation error approach

Karina Koval, Ruanui Nicholson

We consider optimal experimental design (OED) for nonlinear inverse problems within the Bayesian framework. Optimizing the data acquisition process for large-scale nonlinear Bayesi…

math.NA2022★ 2 cited

Optimal design of large-scale nonlinear Bayesian inverse problems under model uncertainty

Alen Alexanderian, Ruanui Nicholson, Noemi Petra

We consider optimal experimental design (OED) for Bayesian nonlinear inverse problems governed by partial differential equations (PDEs) under model uncertainty. Specifically, we co…

math.OC2021★ 2 cited

Joint Estimation of Robin Coefficient and Domain Boundary for the Poisson Problem

Ruanui Nicholson, Matti Niskanen

We consider the problem of simultaneously inferring the heterogeneous coefficient field for a Robin boundary condition on an inaccessible part of the boundary along with the shape…

physics.comp-ph2019

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…

math.ST2019★ 17 cited

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…

stat.CO2018

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…

math.OC2018

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…

math.OC2018★ 21 cited

Estimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field

Ruanui Nicholson, Noemi Petra, Jari Kaipio

We consider the reconstruction of a heterogeneous coefficient field in a Robin boundary condition on an inaccessible part of the boundary in a Poisson problem with an uncertain (or…