activity
20142023
most citedLikelihood-informed dimension reduction for nonlinear inverse problems

153 citations · 179 across the 6 of their papers we have counts for

collaborators

7 papers

stat.ME2023

On Bayesian Generalized Additive Models

Antti Solonen, Stratos Staboulis

Generalized additive models (GAMs) provide a way to blend parametric and non-parametric (function approximation) techniques together, making them flexible tools suitable for many m…

stat.AP2020

Hierarchical Bayesian propulsion power models for marine vessels

Antti Solonen, Ramona Maraia, Sebastian Springer +5

Assessing the magnitude of fuel consumption of marine traffic is a challenging task. The consumption can be reduced by the ways the vessels are operated, to achieve both improved c…

stat.CO2018

Undersampled dynamic X-ray tomography with dimension reduction Kalman filter

Janne Hakkarainen, Zenith Purisha, Antti Solonen +1

In this paper, we consider prior-based dimension reduction Kalman filter for undersampled dynamic X-ray tomography. With this method, the X-ray reconstructions are parameterized by…

stat.CO2016★ 1 cited

Bayesian inverse problems with priors: a Randomize-then-Optimize approach

Zheng Wang, Johnathan M. Bardsley, Antti Solonen +2

Prior distributions for Bayesian inference that rely on the -norm of the parameters are of considerable interest, in part because they promote parameter fields with less regul…

stat.CO2015★ 25 cited

On dimension reduction in Gaussian filters

Antti Solonen, Tiangang Cui, Janne Hakkarainen +1

A priori dimension reduction is a widely adopted technique for reducing the computational complexity of stationary inverse problems. In this setting, the solution of an inverse pro…

math.NA2014

Optimal low-rank approximations of Bayesian linear inverse problems

Alessio Spantini, Antti Solonen, Tiangang Cui +3

In the Bayesian approach to inverse problems, data are often informative, relative to the prior, only on a low-dimensional subspace of the parameter space. Significant computationa…

stat.CO2014★ 153 cited

Likelihood-informed dimension reduction for nonlinear inverse problems

Tiangang Cui, James Martin, Youssef M. Marzouk +2

The intrinsic dimensionality of an inverse problem is affected by prior information, the accuracy and number of observations, and the smoothing properties of the forward operator.…