The expected behaviour of random fields in high dimensions: contradictions in the results of Bansal and Peterson [].

Magn Reson Imaging

Oxford Big Data Institute, Li Ka Shing Centre for Health Information and Discovery, Nuffield Department of Population Health, University of Oxford, Oxford OX3 7LF, UK; Wellcome Centre for Integrative Neuroimaging, FMRIB, Nuffield Department of Clinical Neurosciences, University of Oxford, Oxford OX3 9DU, UK; Department of Statistics, University of Warwick, Coventry CV4 7AL, UK.

Published: July 2022

Bansal and Peterson (2018) found that in simple stationary Gaussian simulations Random Field Theory incorrectly estimates the number of clusters of a Gaussian field that lie above a threshold. Their results contradict the existing literature and appear to have arisen due to errors in their code. Using reproducible code we demonstrate that in their simulations Random Field Theory correctly predicts the expected number of clusters and therefore that many of their results are invalid.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7612853PMC
http://dx.doi.org/10.1016/j.mri.2021.11.010DOI Listing

Publication Analysis

Top Keywords

bansal peterson
8
simulations random
8
random field
8
field theory
8
number clusters
8
expected behaviour
4
behaviour random
4
random fields
4
fields high
4
high dimensions
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!