# LJ cluster optimization on LJ cluster high-dimensional (d=18) Source: [LJ cluster optimization on LJ cluster high-dimensional (d=18)]() Collection index: [llms.txt]() Data updated: 2026-05-11T07:38:52.070Z Evaluation of optimization algorithms applied to the Lennard-Jones (LJ) cluster configuration problem in 18 dimensions, reporting metrics such as final distance, gap, and AUC values. 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 high-dimensional (d=18) | | 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](): Lower is better; unit: SCALAR. - [Final Gap](): Lower is better; unit: SCALAR. - [Best Gap](): Lower is better; unit: SCALAR. - [Hit Rate](): Higher is better; unit: PERCENT. - [AUC Distance](): Lower is better; unit: SCALAR. - [AUC Gap](): Lower is better; unit: SCALAR. - [AUC Best Gap](): Lower is better; unit: SCALAR. ## Recorded results | Method | Final Distance | Result date | Report paper | | --- | --- | --- | --- | | SHAPE | 0.509 | Not recorded | 6a01628cdbc836b87d823095 | | Adam | 0.666 | Not recorded | 6a01628cdbc836b87d823095 | | GD | 0.686 | Not recorded | 6a01628cdbc836b87d823095 | | RMSProp | 0.82 | Not recorded | 6a01628cdbc836b87d823095 | | Momentum | 0.867 | Not recorded | 6a01628cdbc836b87d823095 | | NAG | 0.964 | Not recorded | 6a01628cdbc836b87d823095 | ### SHAPE Final Distance: 0.509. Result ID: 6a01870647f34ce924e3070f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Original name in table":"Learned"}. This record does not assert independent reproduction. ### Adam Final Distance: 0.666. Result ID: 6a01870647f34ce924e3070d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction. ### GD Final Distance: 0.686. Result ID: 6a01870647f34ce924e3070e. [Reporting paper]() Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction. ### RMSProp Final Distance: 0.82. Result ID: 6a01870647f34ce924e30712. [Reporting paper]() Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction. ### Momentum Final Distance: 0.867. Result ID: 6a01870647f34ce924e30710. [Reporting paper]() Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction. ### NAG Final Distance: 0.964. Result ID: 6a01870647f34ce924e30711. [Reporting paper]() Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.