Bayesian inference for low-rank Ising networks

Scientific Reports
Maarten MarsmanCees Glas

Abstract

Estimating the structure of Ising networks is a notoriously difficult problem. We demonstrate that using a latent variable representation of the Ising network, we can employ a full-data-information approach to uncover the network structure. Thereby, only ignoring information encoded in the prior distribution (of the latent variables). The full-data-information approach avoids having to compute the partition function and is thus computationally feasible, even for networks with many nodes. We illustrate the full-data-information approach with the estimation of dense networks.

References

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Jun 30, 2010·The Behavioral and Brain Sciences·Angélique O J CramerDenny Borsboom
Jun 1, 1984·IEEE Transactions on Pattern Analysis and Machine Intelligence·S Geman, D Geman
Aug 2, 2014·Scientific Reports·Claudia D van BorkuloLourens J Waldorp

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Citations

Oct 5, 2016·Scientific Reports·Joost Kruis, Gunter Maris
Apr 17, 2018·Multivariate Behavioral Research·Sacha EpskampDenny Borsboom
Sep 16, 2015·Quality of Life Research : an International Journal of Quality of Life Aspects of Treatment, Care and Rehabilitation·Jolanda J KossakowskiDenny Borsboom
Nov 23, 2018·Multivariate Behavioral Research·Sacha EpskampAngélique O J Cramer
Mar 19, 2019·The British Journal of Mathematical and Statistical Psychology·Matthieu J S Brinkhuis, Gunter Maris
Mar 13, 2020·Multivariate Behavioral Research·Jonas M B HaslbeckLourens J Waldorp
Oct 17, 2019·Multivariate Behavioral Research·Riet van BorkDenny Borsboom
Jan 28, 2017·World Psychiatry : Official Journal of the World Psychiatric Association (WPA)·Denny Borsboom
Apr 20, 2017·Journal of Intelligence·Han L J Van Der MaasClaire E Stevenson
Oct 28, 2019·Perspectives on Psychological Science : a Journal of the Association for Psychological Science·Alexander O SaviGunter K J Maris
Jun 20, 2019·Journal of School Psychology·Ceren Su AbaciogluSacha Epskamp
Jul 18, 2017·Journal of Affective Disorders·R García-VelázquezT H Rosenström
Jul 21, 2021·Psychometrika·Michael J BruscoAshley L Watts
Aug 17, 2021·Multivariate Behavioral Research·Lourens Waldorp, Maarten Marsman

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Software Mentioned

MIRT
R
R package
GNU
qgraph

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