antisymmetric-polyspectral-neural-interactions

name

antisymmetric-polyspectral-neural-interactions

description

Generalized framework of antisymmetric cross-polyspectral indices for identifying high-order neural interactions. Quantifies cross-frequency coupling while being intrinsically robust to volume conduction artifacts. Applicable to EEG/MEG analysis and personalized mTMS protocol design. Activation: antisymmetric polyspectral, cross-frequency coupling, high-order neural interactions, volume conduction robust, bispectral analysis, trispectral analysis, multi-frequency coupling, mTMS protocol.

Antisymmetric Polyspectral Indices for High-Order Neural Interactions

A general family of antisymmetric cross-polyspectral indices that quantify harmonic dependencies between multiple frequency components while being intrinsically robust to instantaneous mixing (volume conduction).

Metadata

• Source: arXiv:2605.04636
• Authors: Alessio Basti, Rikkert Hindriks, Ruggero Freddi, Gian Luca Romani, Vittorio Pizzella, Guido Nolte, Laura Marzetti
• Published: 2026-05-06
• Categories: q-bio.NC, stat.ME

Core Methodology

Key Innovation

Conventional cross-frequency coupling metrics lack a robust framework to characterize genuine interactions among multiple time series where a frequency of interest arises from the combination of N components. This work introduces a general family of antisymmetric cross-polyspectral indices that:

1. Quantify harmonic dependencies between multiple frequency components
2. Are intrinsically robust to instantaneous mixing (volume conduction artifacts)
3. Reveal higher-order dependencies that elude standard analytical approaches

Technical Framework

Cross-Frequency Coupling Problem

Given N source signals, their nonlinear combination produces interactions at frequencies:

• f_target = f_1 +/- f_2 +/- ... +/- f_N