# Graph Reconstruction on Small-world (WS) (test)

Source: [Graph Reconstruction on Small-world (WS) (test)](<https://www.sota2.com/research/sota/graph-reconstruction-on-small-world-ws-test>)

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

Data updated: 2026-02-26T05:45:44.428Z

Evaluation of graph reconstruction performance on the test split of the Small-world (WS) synthetic dataset, measured using GMSE and NMSE.

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 | Graph reconstruction |
| Dataset (including any stated split) | Small-world (WS) (test) |
| Metric | GMSE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 7 of 7 |
| 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

- [GMSE](<https://www.sota2.com/research/sota/graph-reconstruction-on-small-world-ws-test.md?metric=GMSE>): Lower is better; unit: SCALAR.

- [NMSE](<https://www.sota2.com/research/sota/graph-reconstruction-on-small-world-ws-test.md?metric=NMSE>): Lower is better; unit: SCALAR.

## Recorded results

| Method | GMSE | Result date | Report paper |
| --- | --- | --- | --- |
| L2G | 0.0513 | Not recorded | 68fa70621e209131cea4ac96 |
| Unrolling | 0.1028 | Not recorded | 68fa70621e209131cea4ac96 |
| Recurrent Unrolling | 0.2007 | Not recorded | 68fa70621e209131cea4ac96 |
| PDS | 0.218 | Not recorded | 68fa70621e209131cea4ac96 |
| ADMM | 0.2214 | Not recorded | 68fa70621e209131cea4ac96 |
| Deep-graph | 0.8498 | Not recorded | 68fa70621e209131cea4ac96 |

### L2G

GMSE: 0.0513. Result ID: 69912e033a6c314849064420.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Implementation](<https://github.com/xpuoxford/L2G-neurips2021>)

Recorded evaluation configuration: {"Type":"Proposed"}. This record does not assert independent reproduction.

### Unrolling

GMSE: 0.1028. Result ID: 69912e033a6c31484906441f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Implementation](<https://github.com/xpuoxford/L2G-neurips2021>)

Recorded evaluation configuration: {"Type":"Proposed (Ablation)"}. This record does not assert independent reproduction.

### Recurrent Unrolling

GMSE: 0.2007. Result ID: 69912e033a6c31484906441e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Implementation](<https://github.com/xpuoxford/L2G-neurips2021>)

Recorded evaluation configuration: {"Type":"Proposed (Ablation)"}. This record does not assert independent reproduction.

### PDS

GMSE: 0.218. Result ID: 69912e033a6c31484906441b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa32c71e209131ce88a7f7.md>)

Recorded evaluation configuration: {"Type":"Iterative algorithm"}. This record does not assert independent reproduction.

### ADMM

GMSE: 0.2214. Result ID: 69912e033a6c31484906441a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

Recorded evaluation configuration: {"Type":"Iterative algorithm"}. This record does not assert independent reproduction.

### Deep-graph

GMSE: 0.8498. Result ID: 69912e033a6c31484906441d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70621e209131cea4ac96.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7d711e209131cea93125.md>)

Recorded evaluation configuration: {"Type":"Learned to optimise"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.