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@ARTICLE{Gutzen:916176,
author = {Gutzen, Robin and Grün, Sonja and Denker, Michael},
title = {{E}valuating the statistical similarity of neural network
activity and connectivity via eigenvector angles},
journal = {Biosystems},
volume = {223},
issn = {0011-4014},
publisher = {Elsevier Science},
reportid = {FZJ-2022-05996},
pages = {104813},
year = {2023},
abstract = {Neural systems are networks, and strategic comparisons
between multiple networks are a prevalent task in many
research scenarios. In this study, we construct a
statistical test for the comparison of matrices representing
pairwise aspects of neural networks, in particular, the
correlation between spiking activity and connectivity. The
”eigenangle test” quantifies the similarity of two
matrices by the angles between their ranked eigenvectors. We
calibrate the behavior of the test for use with correlation
matrices using stochastic models of correlated spiking
activity and demonstrate how it compares to classical
two-sample tests, such as the Kolmogorov–Smirnov distance,
in the sense that it is able to evaluate also structural
aspects of pairwise measures. Furthermore, the principle of
the eigenangle test can be applied to compare the similarity
of adjacency matrices of certain types of networks. Thus,
the approach can be used to quantitatively explore the
relationship between connectivity and activity with the same
metric. By applying the eigenangle test to the comparison of
connectivity matrices and correlation matrices of a random
balanced network model before and after a specific synaptic
rewiring intervention, we gauge the influence of
connectivity features on the correlated activity. Potential
applications of the eigenangle test include simulation
experiments, model validation, and data analysis.},
cin = {INM-6 / IAS-6 / INM-10},
ddc = {570},
cid = {I:(DE-Juel1)INM-6-20090406 / I:(DE-Juel1)IAS-6-20130828 /
I:(DE-Juel1)INM-10-20170113},
pnm = {5235 - Digitization of Neuroscience and User-Community
Building (POF4-523) / HBP SGA2 - Human Brain Project
Specific Grant Agreement 2 (785907) / HBP SGA3 - Human Brain
Project Specific Grant Agreement 3 (945539) / HAF -
Helmholtz Analytics Framework (ZT-I-0003) / JL SMHB - Joint
Lab Supercomputing and Modeling for the Human Brain (JL
SMHB-2021-2027) / Open-Access-Publikationskosten
Forschungszentrum Jülich (OAPKFZJ) (491111487)},
pid = {G:(DE-HGF)POF4-5235 / G:(EU-Grant)785907 /
G:(EU-Grant)945539 / G:(DE-HGF)ZT-I-0003 / G:(DE-Juel1)JL
SMHB-2021-2027 / G:(GEPRIS)491111487},
typ = {PUB:(DE-HGF)16},
pubmed = {36460172},
UT = {WOS:000899830200001},
doi = {10.1016/j.biosystems.2022.104813},
url = {https://juser.fz-juelich.de/record/916176},
}