Evidence map›Paper›PMID 40225198›Full record

ArticleJournal of the Royal Statistical Society. Series B, Statistical methodology2025

Probabilistic Richardson extrapolation.

Chris J Oates, Toni Karvonen, Aretha L Teckentrup, Marina Strocchi, Steven A Niederer

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Journal of the Royal Statistical Society. Series B, Statistical methodology, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Chris J OatesSchool of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, UK.
Toni KarvonenSchool of Engineering Sciences, Lappeenranta-Lahti University of Technology LUT, Lappeenranta, Finland.
Aretha L TeckentrupSchool of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, UK.
Marina StrocchiNational Heart and Lung Institute, Imperial College London, London, UK.
Steven A NiedererNational Heart and Lung Institute, Imperial College London, London, UK.

Funding

Using Atrial Mechanics To Identify Fibrosis In Patients with Atrial FibrillationR01HL152256 · NHLBI · STANFORD UNIVERSITY · PI ENNIS, DANIEL B · 2020 to 2023
$2.8M
NHLBI NIH HHS R01 HL152256Wellcome Trust
6 · The paper itself

Abstract

For over a century, extrapolation methods have provided a powerful tool to improve the convergence order of a numerical method. However, these tools are not well-suited to modern computer codes, where multiple continua are discretized and convergence orders are not easily analysed. To address this challenge, we present a probabilistic perspective on Richardson extrapolation, a point of view that unifies classical extrapolation methods with modern multi-fidelity modelling, and handles uncertain convergence orders by allowing these to be statistically estimated. The approach is developed using Gaussian processes, leading to

Indexed as

Bayesian statisticsGaussian processmulti-fidelity modellingreproducing kerneluncertainty quantification

Identifiers

PMID40225198
PMCPMC11985099

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.