A Hodge-FAST framework for high-resolution dynamic functional connectivity analysis of higher order interactions in EEG signals

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Roy, Om and Moshfeghi, Yashar and Smith, Jason and Ibanez, Agustin and Parra, Mario A. and Smith, Keith M.; (2025) A Hodge-FAST framework for high-resolution dynamic functional connectivity analysis of higher order interactions in EEG signals. In: 2025 47th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) . IEEE, DNK. ISBN 9798331586188 (https://doi.org/10.1109/EMBC58623.2025.11253015)

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Abstract

We introduce a novel framework that integrates Hodge decomposition with Filtered Average Short-Term (FAST) functional connectivity to analyze dynamic functional connectivity (DFC) in EEG signals. This method leverages graph-based topology and simplicial analysis to explore transient connectivity patterns at multiple scales, addressing noise, sparsity, and computational efficiency. The temporal EEG data are first sparsified by keeping only the most globally important connections, instantaneous connectivity at these connections is then filtered by global long-term stable correlations. This tensor is then decomposed into three orthogonal components to study signal flows over higher-order structures such as triangle and loop structures. Our analysis of Alzheimer-related MCI patients show significant temporal differences related to higher-order interactions that a pairwise analysis on its own does not implicate. This allows us to capture higher-dimensional interactions at high temporal resolution in noisy EEG signal recordings.

ORCID iDs

Roy, Om, Moshfeghi, Yashar ORCID logoORCID: https://orcid.org/0000-0003-4186-1088, Smith, Jason, Ibanez, Agustin, Parra, Mario A. ORCID logoORCID: https://orcid.org/0000-0002-2412-648X and Smith, Keith M. ORCID logoORCID: https://orcid.org/0000-0002-4615-9020;
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