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20152026
most citedProbabilistic Iterative Methods for Linear Systems

3 citations · 9 across the 26 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

stat.CO2021

GaussED: A Probabilistic Programming Language for Sequential Experimental Design

Matthew A. Fisher, Onur Teymur, Chris. J. Oates

Sequential algorithms are popular for experimental design, enabling emulation, optimisation and inference to be efficiently performed. For most of these applications bespoke softwa…

stat.CO2021

Minimum Discrepancy Methods in Uncertainty Quantification

Chris J. Oates

The lectures were prepared for the École Thématique sur les Incertitudes en Calcul Scientifique (ETICS) in September 2021.

math.NA2021

Black Box Probabilistic Numerics

Onur Teymur, Christopher N. Foley, Philip G. Breen +2

Probabilistic numerics casts numerical tasks, such the numerical solution of differential equations, as inference problems to be solved. One approach is to model the unknown quanti…

math.NA2021

Bayesian Numerical Methods for Nonlinear Partial Differential Equations

Junyang Wang, Jon Cockayne, Oksana Chkrebtii +2

The numerical solution of differential equations can be formulated as an inference problem to which formal statistical approaches can be applied. However, nonlinear partial differe…

stat.ME2021

Post-Processing of MCMC

Leah F. South, Marina Riabiz, Onur Teymur +1

Markov chain Monte Carlo (MCMC) is the engine of modern Bayesian statistics, being used to approximate the posterior and derived quantities of interest. Despite this, the issue of…

stat.ME2021★ 3 cited

Probabilistic Iterative Methods for Linear Systems

Jon Cockayne, Ilse C. F. Ipsen, Chris J. Oates +1

This paper presents a probabilistic perspective on iterative methods for approximating the solution of a nonsingular linear system $\mathbf{A} \math…