An inverse-sinh transform tests positive rank-one compatibility; fixed link prediction failed in human SEEG, MEG and EEG

We tested whether alpha-beta phase synchrony (CFS) helps predict phase-amplitude coupling (PAC) role differences after additive site scores are controlled. Public matrices supplied separate SEEG, MEG and EEG cohorts. Twelve SEEG patients supplied development. Fixed tests used 47 other patients, 19 MEG adults and 29 EEG adults from a separate study. Mean added gains were 1.383%, 0.378% and 0.677% of adjusted PAC contrast energy. Positive gains occurred in 27/47, 10/19 and 12/29 people. The shared mean-and-majority rule failed, p=0.867535. All negative results remain. An explicit common-phase model gave raw link cycles while every local coupling value was 0.1. Independent observation noise was sufficient; there were no links between observed sites. From this model, we derived an inverse-sinh compatibility test for positive rank-one completion from local values and reciprocal differences. A bounded-error version uses linear feasibility. One hundred random graph checks and twenty bounded-error checks passed. The test concerns compatibility, not the actual full matrix rank or a neural cause. A later exploratory human prediction reader gave no shared gain and had negative mean gain in EEG. Source noise limits were unavailable, so sample cycle residuals were not used to reject a human model family. Clinical sampling, source mixing, eye state, frequency averaging and reused cohorts limit scope. The package gives code, permitted inputs, source versions and terms, all results, plans, four figures and repeat instructions. No positive cross-modal neural or causal claim is made.

cross-frequency coupling · SEEG · MEG · EEG · phase-amplitude coupling · rank-one compatibility · graph cycles · negative result · reproducible research