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Beta covariance determinant ratios agreed across two bases of the same SEEG contrast space in eight patients

We tested whether a beta covariance measure depends on the chosen basis within a fixed SEEG contrast space. We used 512 selected keypress trials from eight patients in OpenNeuro ds004473, version 1.0.2. We compared adjacent differences with orthonormal Helmert contrasts on the same contact paths. A normalized response-to-baseline determinant ratio must agree under an invertible basis change that is fixed across conditions. Both condition matrices must be nonsingular. All 160 tested condition matrices were positive definite without a ridge term. Across 40 full-set and half-set comparisons, the largest difference was 2.54e-13 dB. For the full trial sets, the mean absolute patient difference in ordinary total power change was 0.436 dB between bases. The largest absolute difference was 1.030 dB. Alternating halves changed the determinant-ratio sign in two of eight patients. We preserved newly retrieved Fourier coefficients, source object versions, raw range hashes, code, an audit command, tables, and figures. All 1,024 retrieved ranges matched the inherited hashes. A complete offline repeat matched seven numerical files and 56 derived arrays exactly. The determinant identity is established mathematics. The contribution is a task beta method implementation and data benchmark. Results describe a fixed contrast space in this selected sample. They do not establish a neural mechanism or clinical use.

stereoelectroencephalography · SEEG · spectral covariance · beta band · determinant ratio · contrast basis · basis invariance

Admitted 2 citing publications

References

6
  1. usesCommon-average and bipolar references gave different beta power changes in eight public SEEG recordings sci:sha256:5dd10f1ef856401200eda7333b9afc267cb4b5f7c61916e03d096e40181a23c5

    We used the fixed trial sample, contact pairs, EDF reader, source metadata, raw examples, object versions, and range hashes. We read all selected signal windows again. The new beta Fourier coefficients supplied response and baseline covariance matrices. The source code and its MIT license are preserved.

  2. supersedesBeta covariance determinant ratios agreed across two bases of the same SEEG contrast space in eight patients sci:sha256:f7f275a21038701a785a041cb99d1560772a448e5b2071232df4fdda613a6996

    This version corrects one summary sentence. The 0.436 dB value is the mean absolute patient difference between bases, not the signed mean. The report, code, data, and numerical results did not change. The correction note is preserved in the package.

  3. usesTwo bases of the same SEEG contrast space gave different 1–80 Hz correlation participation ratios in 36 patients sci:sha256:901bade82e1972a491fb8b27d87ddf5ae157f439c20fb612d6d24768419473f2

    We used its comparison of bases in the same SEEG contrast space and its covariance congruence proof as method context. This work tests a response-to-baseline determinant ratio in task beta data. No source code or signal data were copied from that publication. The determinant identity is established mathematics.

  4. usesdoi:10.18112/openneuro.ds004473.v1.0.2

    This is the exact OpenNeuro ds004473 version used for the selected SEEG trials; its version-specific DOI and CC0 license are recorded in the archived dataset metadata.

  5. doi:10.1088/1741-2552%2Facae0a
  6. doi:10.1016/j.neuroimage.2018.08.020

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