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@ARTICLE{Nestler:1010690,
author = {Nestler, Sandra and Helias, Moritz and Gilson, Matthieu},
title = {{S}tatistical temporal pattern extraction by neuronal
architecture},
journal = {Physical review research},
volume = {5},
number = {3},
issn = {2643-1564},
address = {College Park, MD},
publisher = {APS},
reportid = {FZJ-2023-03196},
pages = {033177},
year = {2023},
abstract = {Neuronal systems need to process temporal signals. Here, we
show how higher-order temporal (co)fluctuationscan be
employed to represent and process information. Concretely,
we demonstrate that a simple biologicallyinspired
feedforward neuronal model can extract information from up
to the third-order cumulant to performtime series
classification. This model relies on a weighted linear
summation of synaptic inputs followed bya nonlinear gain
function. Training both the synaptic weights and the
nonlinear gain function exposes how thenonlinearity allows
for the transfer of higher-order correlations to the mean,
which in turn enables the synergisticuse of information
encoded in multiple cumulants to maximize the classification
accuracy. The approach isdemonstrated both on synthetic and
real-world datasets of multivariate time series. Moreover,
we show thatthe biologically inspired architecture makes
better use of the number of trainable parameters than a
classicalmachine-learning scheme. Our findings emphasize the
benefit of biological neuronal architectures, paired
withdedicated learning algorithms, for the processing of
information embedded in higher-order statistical cumulantsof
temporal (co)fluctuations.},
cin = {INM-6 / IAS-6 / INM-10},
ddc = {530},
cid = {I:(DE-Juel1)INM-6-20090406 / I:(DE-Juel1)IAS-6-20130828 /
I:(DE-Juel1)INM-10-20170113},
pnm = {5231 - Neuroscientific Foundations (POF4-523) / 5232 -
Computational Principles (POF4-523) / 5234 - Emerging NC
Architectures (POF4-523) / HBP SGA3 - Human Brain Project
Specific Grant Agreement 3 (945539) / ACA - Advanced
Computing Architectures (SO-092) / RenormalizedFlows -
Transparent Deep Learning with Renormalized Flows
(BMBF-01IS19077A) / SDS005 - Towards an integrated data
science of complex natural systems (PF-JARA-SDS005) / DFG
project 491111487 - Open-Access-Publikationskosten / 2022 -
2024 / Forschungszentrum Jülich (OAPKFZJ) (491111487)},
pid = {G:(DE-HGF)POF4-5231 / G:(DE-HGF)POF4-5232 /
G:(DE-HGF)POF4-5234 / G:(EU-Grant)945539 / G:(DE-HGF)SO-092
/ G:(DE-Juel-1)BMBF-01IS19077A / G:(DE-Juel-1)PF-JARA-SDS005
/ G:(GEPRIS)491111487},
typ = {PUB:(DE-HGF)16},
UT = {WOS:001074650500002},
doi = {10.1103/PhysRevResearch.5.033177},
url = {https://juser.fz-juelich.de/record/1010690},
}