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

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

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

Data updated: 2026-07-08T07:14:34.521Z

Evaluation of Scattered-domain fitting performance on the test split of the Scattered-domain blobs sampling dataset (256x256 resolution, N=8,192 samples), 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 blobs sampling 256x256, N=8,192 (test) |
| Metric | PSNR |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 16 of 16 |
| 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-blobs-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-blobs-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. | 23.11 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Sobolev (est. grad) | 23.02 | Not recorded | 6a4dd9b94da6617fe9198cae |
| FFL (interp.) | 22.73 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Kac-Rice (est. grad) | 22.53 | Not recorded | 6a4dd9b94da6617fe9198cae |
| SIREN + FFL (interp.) | 21.92 | Not recorded | 6a4dd9b94da6617fe9198cae |
| griddata interp. | 21.84 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Sobolev (oracle grad) | 21.8 | Not recorded | 6a4dd9b94da6617fe9198cae |
| FFL (interp.) | 21.62 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Sobolev (est. grad) | 21.59 | Not recorded | 6a4dd9b94da6617fe9198cae |
| SIREN + Kac-Rice | 21.59 | Not recorded | 6a4dd9b94da6617fe9198cae |
| SIREN + Sobolev (est. grad) | 21.5 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Kac-Rice (est. grad) | 21.14 | Not recorded | 6a4dd9b94da6617fe9198cae |
| Kac-Rice (oracle grad) | 20.86 | Not recorded | 6a4dd9b94da6617fe9198cae |
| MSE only | 20.18 | Not recorded | 6a4dd9b94da6617fe9198cae |
| SIREN (MSE) | 20.1 | Not recorded | 6a4dd9b94da6617fe9198cae |
| MSE only | 18.88 | Not recorded | 6a4dd9b94da6617fe9198cae |

### griddata interp.

PSNR: 23.11. Result ID: 6a4df8ca60b88bb339d6e303.

[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: 23.02. Result ID: 6a4df8ca60b88bb339d6e306.

[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: 22.73. Result ID: 6a4df8ca60b88bb339d6e305.

[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: 22.53. Result ID: 6a4df8ca60b88bb339d6e307.

[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.

### SIREN + FFL (interp.)

PSNR: 21.92. Result ID: 6a4df8ca60b88bb339d6e2fb.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa67c71e209131cea1845c.md>)

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

### griddata interp.

PSNR: 21.84. Result ID: 6a4df8ca60b88bb339d6e2f3.

[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 (oracle grad)

PSNR: 21.8. Result ID: 6a4df8ca60b88bb339d6e2f8.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa63811e209131ce9ff091.md>)

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

### FFL (interp.)

PSNR: 21.62. Result ID: 6a4df8ca60b88bb339d6e2f5.

[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.

### Sobolev (est. grad)

PSNR: 21.59. Result ID: 6a4df8ca60b88bb339d6e2f6.

[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.

### SIREN + Kac-Rice

PSNR: 21.59. Result ID: 6a4df8ca60b88bb339d6e2fd.

[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":"SIREN","Loss":"MSE + Kac-Rice"}. This record does not assert independent reproduction.

### SIREN + Sobolev (est. grad)

PSNR: 21.5. Result ID: 6a4df8ca60b88bb339d6e2fc.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa67c71e209131cea1845c.md>)

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

### Kac-Rice (est. grad)

PSNR: 21.14. Result ID: 6a4df8ca60b88bb339d6e2f7.

[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.

### Kac-Rice (oracle grad)

PSNR: 20.86. Result ID: 6a4df8ca60b88bb339d6e2f9.

[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":"Oracle"}. This record does not assert independent reproduction.

### MSE only

PSNR: 20.18. Result ID: 6a4df8ca60b88bb339d6e304.

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

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

### SIREN (MSE)

PSNR: 20.1. Result ID: 6a4df8ca60b88bb339d6e2fa.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa67c71e209131cea1845c.md>)

Recorded evaluation configuration: {"Backbone":"SIREN","Loss":"MSE"}. This record does not assert independent reproduction.

### MSE only

PSNR: 18.88. Result ID: 6a4df8ca60b88bb339d6e2f4.

[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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