# Dynamics prediction on DNLS homogeneous N=4 (test)

Source: [Dynamics prediction on DNLS homogeneous N=4 (test)](<https://www.sota2.com/research/sota/dynamics-prediction-on-dnls-homogeneous-n-4-test>)

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

Data updated: 2026-04-28T08:50:51.032Z

Evaluation of models predicting physical dynamics on the DNLS homogeneous N=4 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=4 (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-4-test.md?metric=Test%20loss>): Lower is better; unit: SCALAR.

- [Energy MSE](<https://www.sota2.com/research/sota/dynamics-prediction-on-dnls-homogeneous-n-4-test.md?metric=Energy%20MSE>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Test loss | Result date | Report paper |
| --- | --- | --- | --- |
| G-SympNet | 1.17 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| LA-SympNet | 1.19 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| HNN | 1.34 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| α-SGHN | 1.51 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| MLP | 1.95 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| HGIN | 7.52 | Not recorded | 69f03f4b55a3c32af89fa2cf |
| NSSNN | 9.8 | Not recorded | 69f03f4b55a3c32af89fa2cf |

### G-SympNet

Test loss: 1.17. Result ID: 69f0742547f34ce924d674d1.

[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":"4","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### LA-SympNet

Test loss: 1.19. Result ID: 69f0742547f34ce924d674d2.

[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":"4","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### HNN

Test loss: 1.34. Result ID: 69f0742547f34ce924d674cf.

[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":"4","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### α-SGHN

Test loss: 1.51. Result ID: 69f0742547f34ce924d674d3.

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

Recorded evaluation configuration: {"N":"4","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### MLP

Test loss: 1.95. Result ID: 69f0742547f34ce924d674ce.

[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":"4","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### HGIN

Test loss: 7.52. Result ID: 69f0742547f34ce924d674d4.

[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":"4","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

### NSSNN

Test loss: 9.8. Result ID: 69f0742547f34ce924d674d0.

[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":"4","Duration":"20 s","Averaged Trajectories":"30"}. This record does not assert independent reproduction.

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