Hodge Decomposition of Functional Human Brain Networks.

D Vijay Anand, Anass B El-Yaagoubi, Hernando Ombao, Moo K Chung

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In one paragraph

Article in ArXiv, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed

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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

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3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

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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

4 authors.

D Vijay AnandUniversity College London, UK.

Anass B El-YaagoubiKing Abdullah University of Science and Technology, Saudi Arabia.

Hernando OmbaoKing Abdullah University of Science and Technology, Saudi Arabia.

Moo K ChungDepartment of Biostatistics and Medical Informatics, University of Wisconsin-Madison, WI, USA.

Funding

BRAIN Initiative: Theories, Models and Methods for Analysis of Complex Data from the BrainR01EB022856 · NIBIB · UNIVERSITY OF WISCONSIN-MADISON · PI CHUNG, MOO K · 2016 to 2018

$1.1M

NIBIB NIH HHS R01 EB022856

6 · The paper itself

Abstract

We propose to analyze dynamically changing brain networks by decomposing them into three orthogonal components through the Hodge decomposition. We propose to quantify the magnitude and relative strength of each components. We performed extensive simulation studies with the known ground truth. The Hodge decomposition is then applied to the dynamically changing human brain networks obtained from the resting state functional magnetic resonance imaging study. Our study indicates that the components of the Hodge decomposition contain biologically interpretable topological features that provide statistically significant results that are difficult to obtain with the traditional methods.

Identifiers

PMID40740522

PMCPMC12310137

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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.