# Dynamics prediction on DNLS homogeneous N=32 (train) Source: [Dynamics prediction on DNLS homogeneous N=32 (train)]() Collection index: [llms.txt]() Data updated: 2026-04-28T08:50:51.079Z Evaluation of dynamics prediction models on the training split of the DNLS homogeneous dataset with N=32 particles, measured using training loss. 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 | Dynamics prediction | | Dataset (including any stated split) | DNLS homogeneous N=32 (train) | | Metric | Training Loss | | 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 - [Training Loss](): Lower is better; unit: SCALAR. ## Recorded results | Method | Training Loss | Result date | Report paper | | --- | --- | --- | --- | | HGIN | 1.02 | Not recorded | 69f03f4b55a3c32af89fa2cf | | MLP | 1.04 | Not recorded | 69f03f4b55a3c32af89fa2cf | | α-SGHN | 1.3 | Not recorded | 69f03f4b55a3c32af89fa2cf | | G-SympNet | 1.39 | Not recorded | 69f03f4b55a3c32af89fa2cf | | NSSNN | 2.06 | Not recorded | 69f03f4b55a3c32af89fa2cf | | HNN | 2.65 | Not recorded | 69f03f4b55a3c32af89fa2cf | | LA-SympNet | 9.72 | Not recorded | 69f03f4b55a3c32af89fa2cf | ### HGIN Training Loss: 1.02. Result ID: 69f0742547f34ce924d674db. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction. ### MLP Training Loss: 1.04. Result ID: 69f0742547f34ce924d674d5. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction. ### α-SGHN Training Loss: 1.3. Result ID: 69f0742547f34ce924d674da. [Reporting paper]() Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction. ### G-SympNet Training Loss: 1.39. Result ID: 69f0742547f34ce924d674d8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction. ### NSSNN Training Loss: 2.06. Result ID: 69f0742547f34ce924d674d7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction. ### HNN Training Loss: 2.65. Result ID: 69f0742547f34ce924d674d6. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction. ### LA-SympNet Training Loss: 9.72. Result ID: 69f0742547f34ce924d674d9. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.