SDA: a data-driven algorithm that detects functional states applied to the EEG of Guhyasamaja meditation

Frontiers in Neuroinformatics. 2024. Vol. 17. Article 1301718.

Mikhaylets E., Alexandra M. Razorenova, Vsevolod Chernyshev, Syrov N., Yakovlev L., Boytsova J., Kokurina E., Zhironkina Y., Medvedev S., Kaplan A.

The study presents a novel approach designed to detect time-continuous states in time-series data, called the State-Detecting Algorithm (SDA). The SDA operates on unlabeled data and detects optimal change-points between intrinsic functional states in time-series data based on an ensemble of Ward's hierarchical clustering with time-connectivity constraint. The algorithm chooses the best number of states and optimal state boundaries, maximizing clustering quality metrics. We also introduce a series of methods to estimate the performance and confidence of the SDA when the ground truth annotation is unavailable. These include information value analysis, paired statistical tests, and predictive modeling analysis. The SDA was validated on EEG recordings of Guhyasamaja meditation practice with a strict staged protocol performed by 30 experienced Buddhist practitioners in an ecological setup. The SDA used neurophysiological descriptors as inputs, including PSD, power indices, coherence, and PLV. Post-hoc analysis of the obtained EEG states revealed significant differences compared to the baseline and neighboring states. The SDA was found to be stable with respect to state order organization and showed poor clustering quality metrics and no statistical significance between states when applied to randomly shuffled epochs (i.e., surrogate subject data used as controls). The SDA can be considered a general data-driven approach that detects hidden functional states associated with the mental processes evolving during meditation or other ongoing mental and cognitive processes.

Keywords: кластеризация временных рядов, time-series clustering, EEG, ЭЭГ, meditation, медитация

Publication based on the results of: Toric topology, algebraic topology of varieties, combinatorial geometry and applications to data analysis (2024)