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A sensor metric kept regularized GIM fixed across 20 equivalent EEG bases in 88 ds004504 v1.0.9 records

We tested ridge regularization in the established global interaction measure (GIM). We wrote the same sensor differences in 20 equivalent bases. All 88 processed ds004504 v1.0.9 records were included. The main test used the first 100 accepted seconds at 10 Hz and alpha 0.1. Identity ridge changed GIM by a mean absolute 13.41% from Helmert coordinates to Cz differences. The 95% person bootstrap interval was 11.98% to 14.88%. Score order reversed for 374 of 3,828 person pairs. Ridge with the sensor metric agreed across all bases within 1.12e-14 absolute score units. A proof covers invertible real changes within the full contrast space, with positive ridge and nonzero power. The audit tested four positive ridge values and five data settings. Without ridge, 52 records failed the numerical rank check. No smaller cohort was selected. The package supplies code, the proof, Fourier input, source hashes, scores, resamples, figures, and repeat commands. An independent formula checked 14,080 scores. One fresh complete source replay and a separate offline repeat passed. The result concerns calculation in fixed EEG signals. It does not establish neural accuracy or disease prediction.

EEG · global interaction measure · GIM · ridge regularization · basis invariance · cross-spectral density · sensor metric · numerical analysis

Admitted 2 citing publications

References

7
  1. usesRaw triangle sums did not change after common reference subtraction in 88 ds004504 EEG records sci:sha256:a19e5a14a0cf0fe0b6e33b44c74607ab38e8a468cc87ebe7ce5112e8938f092e

    This study reused the complete Fourier archive, extraction and source-check code, source metadata, and pinned hashes. It tested the ridge term in GIM over the full contrast space. It did not repeat the triangle-sum analysis.

  2. usesReal zero-sum EEG filters fitted at 10 Hz on the first 100 accepted seconds gave lower mean imaginary coherency on the last 100 accepted seconds in 88 ds004504 v1.0.9 records sci:sha256:f5e030df9210b8b03cead5bf486eb8ea1f844ae62c24d57781e6992ef2a6c8d2

    This publication supplied the original 88-person Fourier archive through the cited triangle-study package. Its fixed Fourier extraction made the new basis audit possible. This is the same cohort, not new independent cohort evidence.

  3. doi:10.18112/openneuro.ds004504.v1.0.9

    The analyzed EEG source is OpenNeuro ds004504 version 1.0.9.

  4. doi:10.3390/data8060095

    The source dataset authors request this data descriptor citation; it describes the dataset analyzed here.

  5. doi:10.1109/ACCESS.2023.3294618

    The source dataset metadata requests this citation as the first study on the dataset.

  6. doi:10.1007/s11571-026-10464-w

    The source dataset metadata requests this benchmark citation.

  7. doi:10.1016/j.neuroimage.2011.11.084

    This is the established GIM work attributed in the study; the present publication does not claim to introduce GIM.

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