# Conditional SPD Matrix Generation on NYC taxi dataset SPD(10)

Source: [Conditional SPD Matrix Generation on NYC taxi dataset SPD(10)](<https://www.sota2.com/research/sota/conditional-spd-matrix-generation-on-nyc-taxi-dataset-spd-10>)

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

Data updated: 2026-06-01T09:27:31.963Z

Evaluation of models generating conditional Spatial Potential Density (SPD) matrices using the NYC taxi dataset subset SPD(10), measured by Frobenius distance metrics.

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 | Traffic analysis (Conditional SPD matrix generation) |
| Dataset (including any stated split) | NYC taxi dataset SPD(10) |
| Metric | Mean Frobenius Distance |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 2 of 2 |
| 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

- [Mean Frobenius Distance](<https://www.sota2.com/research/sota/conditional-spd-matrix-generation-on-nyc-taxi-dataset-spd-10.md?metric=Mean%20Frobenius%20Distance>): Lower is better; unit: SCALAR.

- [25th Percentile Frobenius Distance](<https://www.sota2.com/research/sota/conditional-spd-matrix-generation-on-nyc-taxi-dataset-spd-10.md?metric=25th%20Percentile%20Frobenius%20Distance>): Lower is better; unit: SCALAR.

- [Median Frobenius Distance](<https://www.sota2.com/research/sota/conditional-spd-matrix-generation-on-nyc-taxi-dataset-spd-10.md?metric=Median%20Frobenius%20Distance>): Lower is better; unit: SCALAR.

- [75th Percentile Frobenius Distance](<https://www.sota2.com/research/sota/conditional-spd-matrix-generation-on-nyc-taxi-dataset-spd-10.md?metric=75th%20Percentile%20Frobenius%20Distance>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Mean Frobenius Distance | Result date | Report paper |
| --- | --- | --- | --- |
| Riemannian Diffusion Models via PINNs | 5.21 | Not recorded | 6a1d1227dbd7150506f84048 |
| SPD-DDPM | 6.15 | Not recorded | 6a1d1227dbd7150506f84048 |

### Riemannian Diffusion Models via PINNs

Mean Frobenius Distance: 5.21. Result ID: 6a1d5068fbc373592c16d8ab.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d1227dbd7150506f84048.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a1d1227dbd7150506f84048.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### SPD-DDPM

Mean Frobenius Distance: 6.15. Result ID: 6a1d5068fbc373592c16d8aa.

[Reporting paper](<https://www.sota2.com/research/paper/6a1d1227dbd7150506f84048.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71801e209131cea51a9e.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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