Inferring global exponents in subsampled neural systems

Summary: In systems exhibiting avalanche-like activity, critical exponents can provide insights into the mechanisms underlying the observed behavior or on the topology of the connections. However, when only a small fraction of the units composing the system are observed and sampled, the measured exp...

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Main Authors: Davide Conte, Antonio de Candia
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:iScience
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Online Access:http://www.sciencedirect.com/science/article/pii/S2589004225013100
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author Davide Conte
Antonio de Candia
author_facet Davide Conte
Antonio de Candia
author_sort Davide Conte
collection DOAJ
description Summary: In systems exhibiting avalanche-like activity, critical exponents can provide insights into the mechanisms underlying the observed behavior or on the topology of the connections. However, when only a small fraction of the units composing the system are observed and sampled, the measured exponents may differ significantly from the true ones. In this study, using branching process and (2 + 1)D directed percolation, we show that some of the exponents, namely the ones governing the power spectrum and the detrended fluctuation analysis (DFA) of the system activity, are more robust and are unaffected in some intervals of frequencies by the subsampling. This robustness derives from the preservation of long-time correlations in the subsampled signal, even though large avalanches can be fragmented into smaller ones. These results don’t depend on the specific model and may be used therefore to extract in a simple and unbiased way some of the exponents of the unobserved full system.
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spelling doaj-art-b9bcef2c63324320a31dfcd48971afdf2025-08-20T03:51:29ZengElsevieriScience2589-00422025-08-0128811304910.1016/j.isci.2025.113049Inferring global exponents in subsampled neural systemsDavide Conte0Antonio de Candia1Department of Mathematics & Physics, University of Campania “Luigi Vanvitelli”, viale Lincoln 5, 81100 Caserta, Italy; Corresponding authorDipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, Complesso Universitario di Monte Sant’Angelo, via Cintia, 80126 Napoli, Italy; INFN, Sezione di Napoli, Gruppo collegato di Salerno, Fisciano, SA, Italy; Corresponding authorSummary: In systems exhibiting avalanche-like activity, critical exponents can provide insights into the mechanisms underlying the observed behavior or on the topology of the connections. However, when only a small fraction of the units composing the system are observed and sampled, the measured exponents may differ significantly from the true ones. In this study, using branching process and (2 + 1)D directed percolation, we show that some of the exponents, namely the ones governing the power spectrum and the detrended fluctuation analysis (DFA) of the system activity, are more robust and are unaffected in some intervals of frequencies by the subsampling. This robustness derives from the preservation of long-time correlations in the subsampled signal, even though large avalanches can be fragmented into smaller ones. These results don’t depend on the specific model and may be used therefore to extract in a simple and unbiased way some of the exponents of the unobserved full system.http://www.sciencedirect.com/science/article/pii/S2589004225013100Natural sciencesbiological sciencesneural networks
spellingShingle Davide Conte
Antonio de Candia
Inferring global exponents in subsampled neural systems
iScience
Natural sciences
biological sciences
neural networks
title Inferring global exponents in subsampled neural systems
title_full Inferring global exponents in subsampled neural systems
title_fullStr Inferring global exponents in subsampled neural systems
title_full_unstemmed Inferring global exponents in subsampled neural systems
title_short Inferring global exponents in subsampled neural systems
title_sort inferring global exponents in subsampled neural systems
topic Natural sciences
biological sciences
neural networks
url http://www.sciencedirect.com/science/article/pii/S2589004225013100
work_keys_str_mv AT davideconte inferringglobalexponentsinsubsampledneuralsystems
AT antoniodecandia inferringglobalexponentsinsubsampledneuralsystems