# Scattered-domain fitting on Scattered-domain ramp sampling 256x256, N=8,192 (test)

Source: [Scattered-domain fitting on Scattered-domain ramp sampling 256x256, N=8,192 (test)](<https://www.sota2.com/research/sota/scattered-domain-fitting-on-scattered-domain-ramp-sampling-256x256-n-8-192-test>)

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

Data updated: 2026-07-08T07:14:34.545Z

Evaluation of model performance on scattered-domain fitting using the test split of the Scattered-domain ramp sampling dataset (N=8,192, 256x256 resolution), measured using PSNR and HF-PSNR.

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 | Scattered-domain fitting |
| Dataset (including any stated split) | Scattered-domain ramp sampling 256x256, N=8,192 (test) |
| Metric | PSNR |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 5 of 5 |
| 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

- [PSNR](<https://www.sota2.com/research/sota/scattered-domain-fitting-on-scattered-domain-ramp-sampling-256x256-n-8-192-test.md?metric=PSNR>): Higher is better; unit: SCALAR.

- [HF-PSNR](<https://www.sota2.com/research/sota/scattered-domain-fitting-on-scattered-domain-ramp-sampling-256x256-n-8-192-test.md?metric=HF-PSNR>): Higher is better; unit: SCALAR.

## Recorded results

| Method | PSNR | Result date | Report paper |
| --- | --- | --- | --- |
| griddata interp. | 22.85 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Sobolev (est. grad) | 22.74 | Not recorded | 6a4dd9b94da6617fe9198cae |
| FFL (interp.) | 22.48 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Kac-Rice (est. grad) | 22.31 | Not recorded | 6a4dd9b94da6617fe9198cae |
| MSE only | 19.73 | Not recorded | 6a4dd9b94da6617fe9198cae |

### griddata interp.

PSNR: 22.85. Result ID: 6a4df8ca60b88bb339d6e2fe.

[Reporting paper](<https://www.sota2.com/research/paper/6a4dd9b94da6617fe9198cae.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa3cd51e209131ce8ddde3.md>)

Recorded evaluation configuration: {"Type":"Input reference"}. This record does not assert independent reproduction.

### Sobolev (est. grad)

PSNR: 22.74. Result ID: 6a4df8ca60b88bb339d6e301.

[Reporting paper](<https://www.sota2.com/research/paper/6a4dd9b94da6617fe9198cae.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d101e209131cea37644.md>)

Recorded evaluation configuration: {"Backbone":"PE-MLP","Loss":"MSE + Sobolev","Gradient":"Estimated"}. This record does not assert independent reproduction.

### FFL (interp.)

PSNR: 22.48. Result ID: 6a4df8ca60b88bb339d6e300.

[Reporting paper](<https://www.sota2.com/research/paper/6a4dd9b94da6617fe9198cae.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a981e209131cea29314.md>)

[Implementation](<https://github.com/EndlessSora/focal-frequency-loss>)

Recorded evaluation configuration: {"Backbone":"PE-MLP","Loss":"MSE + FFL"}. This record does not assert independent reproduction.

### Kac-Rice (est. grad)

PSNR: 22.31. Result ID: 6a4df8ca60b88bb339d6e302.

[Reporting paper](<https://www.sota2.com/research/paper/6a4dd9b94da6617fe9198cae.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a4dd9b94da6617fe9198cae.md>)

Recorded evaluation configuration: {"Backbone":"PE-MLP","Loss":"MSE + Kac-Rice","Gradient":"Estimated"}. This record does not assert independent reproduction.

### MSE only

PSNR: 19.73. Result ID: 6a4df8ca60b88bb339d6e2ff.

[Reporting paper](<https://www.sota2.com/research/paper/6a4dd9b94da6617fe9198cae.md>)

Recorded evaluation configuration: {"Backbone":"PE-MLP"}. This record does not assert independent reproduction.

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