# LJ cluster optimization on LJ cluster low-dimensional (d=6)

Source: [LJ cluster optimization on LJ cluster low-dimensional (d=6)](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6>)

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

Data updated: 2026-05-11T07:38:52.032Z

Evaluation of optimization performance on the low-dimensional (d=6) Lennard-Jones (LJ) cluster configuration, measured by final distance, gap metrics, and AUC 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 | LJ cluster optimization |
| Dataset (including any stated split) | LJ cluster low-dimensional (d=6) |
| Metric | Final Distance |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 6 of 6 |
| 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

- [Final Distance](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6.md?metric=Final%20Distance>): Lower is better; unit: SCALAR.

- [Final Gap](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6.md?metric=Final%20Gap>): Lower is better; unit: SCALAR.

- [Best Gap](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6.md?metric=Best%20Gap>): Lower is better; unit: SCALAR.

- [Hit Rate](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6.md?metric=Hit%20Rate>): Higher is better; unit: PERCENT.

- [AUC Distance](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6.md?metric=AUC%20Distance>): Lower is better; unit: SCALAR.

- [AUC Gap](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6.md?metric=AUC%20Gap>): Lower is better; unit: SCALAR.

- [AUC Best Gap](<https://www.sota2.com/research/sota/lj-cluster-optimization-on-lj-cluster-low-dimensional-d-6.md?metric=AUC%20Best%20Gap>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Final Distance | Result date | Report paper |
| --- | --- | --- | --- |
| SHAPE | 0.324 | Not recorded | 6a01628cdbc836b87d823095 |
| RMSProp | 2.64 | Not recorded | 6a01628cdbc836b87d823095 |
| NAG | 2.802 | Not recorded | 6a01628cdbc836b87d823095 |
| Adam | 2.812 | Not recorded | 6a01628cdbc836b87d823095 |
| Momentum | 2.847 | Not recorded | 6a01628cdbc836b87d823095 |
| GD | 2.953 | Not recorded | 6a01628cdbc836b87d823095 |

### SHAPE

Final Distance: 0.324. Result ID: 6a01870647f34ce924e30709.

[Reporting paper](<https://www.sota2.com/research/paper/6a01628cdbc836b87d823095.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a01628cdbc836b87d823095.md>)

Recorded evaluation configuration: {"Original name in table":"Learned"}. This record does not assert independent reproduction.

### RMSProp

Final Distance: 2.64. Result ID: 6a01870647f34ce924e3070c.

[Reporting paper](<https://www.sota2.com/research/paper/6a01628cdbc836b87d823095.md>)

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

### NAG

Final Distance: 2.802. Result ID: 6a01870647f34ce924e3070b.

[Reporting paper](<https://www.sota2.com/research/paper/6a01628cdbc836b87d823095.md>)

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

### Adam

Final Distance: 2.812. Result ID: 6a01870647f34ce924e30707.

[Reporting paper](<https://www.sota2.com/research/paper/6a01628cdbc836b87d823095.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa63171e209131ce9fca0b.md>)

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

### Momentum

Final Distance: 2.847. Result ID: 6a01870647f34ce924e3070a.

[Reporting paper](<https://www.sota2.com/research/paper/6a01628cdbc836b87d823095.md>)

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

### GD

Final Distance: 2.953. Result ID: 6a01870647f34ce924e30708.

[Reporting paper](<https://www.sota2.com/research/paper/6a01628cdbc836b87d823095.md>)

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

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