Search Results for author: Tapio Helin

Found 5 papers, 1 papers with code

Statistical inverse learning problems with random observations

no code implementations23 Dec 2023 Abhishake, Tapio Helin, Nicole Mücke

To achieve these results, the structure of reproducing kernel Hilbert spaces is leveraged to establish minimax rates in the statistical learning setting.

Experimental Design

Bayesian Posterior Perturbation Analysis with Integral Probability Metrics

no code implementations2 Mar 2023 Alfredo Garbuno-Inigo, Tapio Helin, Franca Hoffmann, Bamdad Hosseini

In recent years, Bayesian inference in large-scale inverse problems found in science, engineering and machine learning has gained significant attention.

Bayesian Inference

Introduction To Gaussian Process Regression In Bayesian Inverse Problems, With New ResultsOn Experimental Design For Weighted Error Measures

no code implementations9 Feb 2023 Tapio Helin, Andrew Stuart, Aretha Teckentrup, Konstantinos Zygalakis

Bayesian posterior distributions arising in modern applications, including inverse problems in partial differential equation models in tomography and subsurface flow, are often computationally intractable due to the large computational cost of evaluating the data likelihood.

Experimental Design regression

Convex regularization in statistical inverse learning problems

no code implementations18 Feb 2021 Tatiana A. Bubba, Martin Burger, Tapio Helin, Luca Ratti

We consider a statistical inverse learning problem, where the task is to estimate a function $f$ based on noisy point evaluations of $Af$, where $A$ is a linear operator.

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