# Optimal Transport on Tens (Tensorised potential synthetic data)

Source: [Optimal Transport on Tens (Tensorised potential synthetic data)](<https://www.sota2.com/research/sota/optimal-transport-on-tens-tensorised-potential-synthetic-data>)

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

Data updated: 2026-02-26T06:11:25.834Z

Evaluation of Optimal Transport performance on the Tens (Tensorised potential synthetic data) dataset, measured by metrics including εμ(fi0), εμ(fi1), and Rank.

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 | Optimal Transport |
| Dataset (including any stated split) | Tens (Tensorised potential synthetic data) |
| Metric | εμ(fi0) |
| 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

- [εμ(fi0)](<https://www.sota2.com/research/sota/optimal-transport-on-tens-tensorised-potential-synthetic-data.md?metric=%CE%B5%CE%BC(fi0)>): Lower is better; unit: SCALAR.

- [εμ(fi1)](<https://www.sota2.com/research/sota/optimal-transport-on-tens-tensorised-potential-synthetic-data.md?metric=%CE%B5%CE%BC(fi1)>): Lower is better; unit: SCALAR.

- [Rank](<https://www.sota2.com/research/sota/optimal-transport-on-tens-tensorised-potential-synthetic-data.md?metric=Rank>): Lower is better; unit: SCALAR.

## Recorded results

| Method | εμ(fi0) | Result date | Report paper |
| --- | --- | --- | --- |
| Selection via semi-dual Brenier objective | 0.006 | Not recorded | 68fa59fe1e209131ce9bc1d9 |

### Selection via semi-dual Brenier objective

εμ(fi0): 0.006. Result ID: 698bab3f7a967eddb77075ba.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59fe1e209131ce9bc1d9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59fe1e209131ce9bc1d9.md>)

[Implementation](<https://github.com/AmirTag/OT-ICNN>)

Recorded evaluation configuration: {"Selection Criterion":"Semi-dual Brenier objective","Number of candidate models":"64"}. This record does not assert independent reproduction.

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