# Robust Prototype Estimation on Synthetic dataset on Gr(3,20) (180 cluster points + 20 outliers)

Source: [Robust Prototype Estimation on Synthetic dataset on Gr(3,20) (180 cluster points + 20 outliers)](<https://www.sota2.com/research/sota/robust-prototype-estimation-on-synthetic-dataset-on-gr-3-20-180-cluster-points-plus-20-outliers>)

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

Data updated: 2026-02-26T05:39:08.412Z

Evaluation of model performance on Robust Prototype Estimation using the synthetic dataset generated with Gr(3,20) structure, including 180 cluster points and 20 outliers, typically measured by Chordal Distance.

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 | Robust Prototype Estimation |
| Dataset (including any stated split) | Synthetic dataset on Gr(3,20) (180 cluster points + 20 outliers) |
| Metric | Chordal Distance |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 3 of 3 |
| 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

- [Chordal Distance](<https://www.sota2.com/research/sota/robust-prototype-estimation-on-synthetic-dataset-on-gr-3-20-180-cluster-points-plus-20-outliers.md?metric=Chordal%20Distance>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Chordal Distance | Result date | Report paper |
| --- | --- | --- | --- |
| Flag Median | 0.0017 | Not recorded | 68fa59151e209131ce9b3c6f |
| l2-median | 0.0022 | Not recorded | 68fa59151e209131ce9b3c6f |
| Flag Mean | 0.0128 | Not recorded | 68fa59151e209131ce9b3c6f |

### Flag Median

Chordal Distance: 0.0017. Result ID: 698ba5777a967eddb7704ca3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59151e209131ce9b3c6f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59151e209131ce9b3c6f.md>)

[Implementation](<https://www.cs.colostate.edu/~vision/summet>)

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

### l2-median

Chordal Distance: 0.0022. Result ID: 698ba5777a967eddb7704ca4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59151e209131ce9b3c6f.md>)

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

### Flag Mean

Chordal Distance: 0.0128. Result ID: 698ba5777a967eddb7704ca5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59151e209131ce9b3c6f.md>)

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

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