# Geometric Alignment on Real EEG covariance SPD(22) (27 subject/split pairs)

Source: [Geometric Alignment on Real EEG covariance SPD(22) (27 subject/split pairs)](<https://www.sota2.com/research/sota/geometric-alignment-on-real-eeg-covariance-spd-22-27-subject-split-pairs>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-09T07:13:05.367Z

Evaluation of Geometric Alignment performance on the Real EEG covariance SPD(22) dataset, measured using RE (normalized excess plan-fit energy), Mπ (target mismatch), and Class alignment.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Geometric Alignment |
| Dataset (including any stated split) | Real EEG covariance SPD(22) (27 subject/split pairs) |
| Metric | RE (Normalized Excess Plan-Fit Energy) |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 5 of 5 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [RE (Normalized Excess Plan-Fit Energy)](<https://www.sota2.com/research/sota/geometric-alignment-on-real-eeg-covariance-spd-22-27-subject-split-pairs.md?metric=RE%20(Normalized%20Excess%20Plan-Fit%20Energy)>): Lower is better; unit: SCALAR.

- [M\_pi (Target Mismatch)](<https://www.sota2.com/research/sota/geometric-alignment-on-real-eeg-covariance-spd-22-27-subject-split-pairs.md?metric=M_pi%20(Target%20Mismatch)>): Lower is better; unit: SCALAR.

- [Class Alignment Score](<https://www.sota2.com/research/sota/geometric-alignment-on-real-eeg-covariance-spd-22-27-subject-split-pairs.md?metric=Class%20Alignment%20Score>): Higher is better; unit: SCALAR.

## Recorded results

| Method | RE (Normalized Excess Plan-Fit Energy) | Result date | Report paper |
| --- | --- | --- | --- |
| Intrinsic | 0 | Not recorded | 6a279df290966ade919bf5c9 |
| Tangential | 0.0018 | Not recorded | 6a279df290966ade919bf5c9 |
| Log-Euclidean | 0.0119 | Not recorded | 6a279df290966ade919bf5c9 |
| MAP | 1.006 | Not recorded | 6a279df290966ade919bf5c9 |
| Identity | 2.951 | Not recorded | 6a279df290966ade919bf5c9 |

### Intrinsic

RE (Normalized Excess Plan-Fit Energy): 0. Result ID: 6a27bc37fbc373592c240651.

[Reporting paper](<https://www.sota2.com/research/paper/6a279df290966ade919bf5c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279df290966ade919bf5c9.md>)

Recorded evaluation configuration: {"Manifold":"SPD(22)"}. This record does not assert independent reproduction.

### Tangential

RE (Normalized Excess Plan-Fit Energy): 0.0018. Result ID: 6a27bc37fbc373592c240652.

[Reporting paper](<https://www.sota2.com/research/paper/6a279df290966ade919bf5c9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279df290966ade919bf5c9.md>)

Recorded evaluation configuration: {"Manifold":"SPD(22)"}. This record does not assert independent reproduction.

### Log-Euclidean

RE (Normalized Excess Plan-Fit Energy): 0.0119. Result ID: 6a27bc37fbc373592c240653.

[Reporting paper](<https://www.sota2.com/research/paper/6a279df290966ade919bf5c9.md>)

Recorded evaluation configuration: {"Manifold":"SPD(22)"}. This record does not assert independent reproduction.

### MAP

RE (Normalized Excess Plan-Fit Energy): 1.006. Result ID: 6a27bc37fbc373592c240654.

[Reporting paper](<https://www.sota2.com/research/paper/6a279df290966ade919bf5c9.md>)

Recorded evaluation configuration: {"Manifold":"SPD(22)"}. This record does not assert independent reproduction.

### Identity

RE (Normalized Excess Plan-Fit Energy): 2.951. Result ID: 6a27bc37fbc373592c240655.

[Reporting paper](<https://www.sota2.com/research/paper/6a279df290966ade919bf5c9.md>)

Recorded evaluation configuration: {"Manifold":"SPD(22)"}. This record does not assert independent reproduction.

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