# PINN Loss Evaluation on Burgers Equation

Source: [PINN Loss Evaluation on Burgers Equation](<https://www.sota2.com/research/sota/pinn-loss-evaluation-on-burgers-equation>)

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

Data updated: 2026-05-20T09:24:16.832Z

Evaluation of Physics-Informed Neural Network (PINN) performance on solving the Burgers' equation, measured by validation L2 error and specific component losses (PDE, IC, BC).

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 | Solving Burgers' equation with PINNs |
| Dataset (including any stated split) | Burgers |
| Metric | Validation L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 4 of 4 |
| 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

- [Validation L2 Error](<https://www.sota2.com/research/sota/pinn-loss-evaluation-on-burgers-equation.md?metric=Validation%20L2%20Error>): Lower is better; unit: SCALAR.

- [PDE Loss](<https://www.sota2.com/research/sota/pinn-loss-evaluation-on-burgers-equation.md?metric=PDE%20Loss>): Lower is better; unit: SCALAR.

- [IC Loss](<https://www.sota2.com/research/sota/pinn-loss-evaluation-on-burgers-equation.md?metric=IC%20Loss>): Lower is better; unit: SCALAR.

- [BC Loss](<https://www.sota2.com/research/sota/pinn-loss-evaluation-on-burgers-equation.md?metric=BC%20Loss>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Validation L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| StableGrad | 0.011 | Not recorded | 6a0d402bf984739ed6737909 |
| StableGrad | 0.085 | Not recorded | 6a0d402bf984739ed6737909 |
| Vanilla | 0.13 | Not recorded | 6a0d402bf984739ed6737909 |
| Vanilla | 0.16 | Not recorded | 6a0d402bf984739ed6737909 |

### StableGrad

Validation L2 Error: 0.011. Result ID: 6a0d7cdcfbc373592c05cd30.

[Reporting paper](<https://www.sota2.com/research/paper/6a0d402bf984739ed6737909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0d402bf984739ed6737909.md>)

Recorded evaluation configuration: {"Depth":"12"}. This record does not assert independent reproduction.

### StableGrad

Validation L2 Error: 0.085. Result ID: 6a0d7cdcfbc373592c05cd2e.

[Reporting paper](<https://www.sota2.com/research/paper/6a0d402bf984739ed6737909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0d402bf984739ed6737909.md>)

Recorded evaluation configuration: {"Depth":"6"}. This record does not assert independent reproduction.

### Vanilla

Validation L2 Error: 0.13. Result ID: 6a0d7cdcfbc373592c05cd2d.

[Reporting paper](<https://www.sota2.com/research/paper/6a0d402bf984739ed6737909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa55761e209131ce9946db.md>)

Recorded evaluation configuration: {"Depth":"6"}. This record does not assert independent reproduction.

### Vanilla

Validation L2 Error: 0.16. Result ID: 6a0d7cdcfbc373592c05cd2f.

[Reporting paper](<https://www.sota2.com/research/paper/6a0d402bf984739ed6737909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa55761e209131ce9946db.md>)

Recorded evaluation configuration: {"Depth":"12"}. This record does not assert independent reproduction.

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