# Dynamics prediction on DNLS homogeneous (N=32) (test)

Source: [Dynamics prediction on DNLS homogeneous (N=32) (test)](<https://www.sota2.com/research/sota/dynamics-prediction-on-dnls-homogeneous-n-32-test>)

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

Data updated: 2026-04-28T08:50:51.120Z

Evaluation of models predicting physical dynamics on the DNLS homogeneous N=32 test set, measured using Test loss and Energy MSE.

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) (test) |
| Metric | Test 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

- [Test Loss](<https://www.sota2.com/research/sota/dynamics-prediction-on-dnls-homogeneous-n-32-test.md?metric=Test%20Loss>): Lower is better; unit: SCALAR.

- [Energy MSE](<https://www.sota2.com/research/sota/dynamics-prediction-on-dnls-homogeneous-n-32-test.md?metric=Energy%20MSE>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Test Loss | Result date | Report paper |
| --- | --- | --- | --- |
| α-SGHN | 1.25 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| LA-SympNet | 1.51 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| G-SympNet | 2.66 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| HGIN | 2.93 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| NSSNN | 3.28 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| HNN | 5.64 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| MLP | 6.18 | Not recorded | 69f03f4b55a3c32af89fa2cf |

### α-SGHN

Test Loss: 1.25. Result ID: 69f0742547f34ce924d674e1.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### LA-SympNet

Test Loss: 1.51. Result ID: 69f0742547f34ce924d674e0.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c991e209131ce8dbed1.md>)

Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### G-SympNet

Test Loss: 2.66. Result ID: 69f0742547f34ce924d674df.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3c991e209131ce8dbed1.md>)

Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### HGIN

Test Loss: 2.93. Result ID: 69f0742547f34ce924d674e2.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### NSSNN

Test Loss: 3.28. Result ID: 69f0742547f34ce924d674de.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6bd31e209131cea305b5.md>)

Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### HNN

Test Loss: 5.64. Result ID: 69f0742547f34ce924d674dd.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa665a1e209131cea0fbde.md>)

Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### MLP

Test Loss: 6.18. Result ID: 69f0742547f34ce924d674dc.

[Reporting paper](<https://www.sota2.com/research/paper/69f03f4b55a3c32af89fa2cf.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa64aa1e209131cea05fc7.md>)

Recorded evaluation configuration: {"N":"32","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

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