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Erschienen in: International Journal of Data Science and Analytics 2/2017

01.12.2016 | Regular Paper

A million variables and more: the Fast Greedy Equivalence Search algorithm for learning high-dimensional graphical causal models, with an application to functional magnetic resonance images

verfasst von: Joseph Ramsey, Madelyn Glymour, Ruben Sanchez-Romero, Clark Glymour

Erschienen in: International Journal of Data Science and Analytics | Ausgabe 2/2017

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Abstract

We describe two modifications that parallelize and reorganize caching in the well-known Greedy Equivalence Search algorithm for discovering directed acyclic graphs on random variables from sample values. We apply one of these modifications, the Fast Greedy Equivalence Search (fGES) assuming faithfulness, to an i.i.d. sample of 1000 units to recover with high precision and good recall an average degree 2 directed acyclic graph with one million Gaussian variables. We describe a modification of the algorithm to rapidly find the Markov Blanket of any variable in a high dimensional system. Using 51,000 voxels that parcellate an entire human cortex, we apply the fGES algorithm to blood oxygenation level-dependent time series obtained from resting state fMRI.

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Metadaten
Titel
A million variables and more: the Fast Greedy Equivalence Search algorithm for learning high-dimensional graphical causal models, with an application to functional magnetic resonance images
verfasst von
Joseph Ramsey
Madelyn Glymour
Ruben Sanchez-Romero
Clark Glymour
Publikationsdatum
01.12.2016
Verlag
Springer International Publishing
Erschienen in
International Journal of Data Science and Analytics / Ausgabe 2/2017
Print ISSN: 2364-415X
Elektronische ISSN: 2364-4168
DOI
https://doi.org/10.1007/s41060-016-0032-z

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