# Symbolic Regression on Nguyen-F9

Source: [Symbolic Regression on Nguyen-F9](<https://www.sota2.com/research/sota/symbolic-regression-on-nguyen-f9>)

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

Data updated: 2026-02-27T10:34:46.658Z

Evaluation of Symbolic Regression performance on the Nguyen-F9 dataset, using R^2 and % Symbolic metrics.

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 | Symbolic Regression |
| Dataset (including any stated split) | Nguyen-F9 |
| Metric | R^2 |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 18 of 18 |
| 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

- [R^2](<https://www.sota2.com/research/sota/symbolic-regression-on-nguyen-f9.md?metric=R%5E2>): Higher is better; unit: SCALAR.

- [Symbolic Rate](<https://www.sota2.com/research/sota/symbolic-regression-on-nguyen-f9.md?metric=Symbolic%20Rate>): Higher is better; unit: PERCENT.

## Recorded results

| Method | R^2 | Result date | Report paper |
| --- | --- | --- | --- |
| Baseline KAN | 1 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | 1 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | 1 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9999 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9999 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9999 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9992 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9989 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9988 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9987 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9968 | Not recorded | 6938fe646cfd488761a53ad6 |
| S2KAN | 0.9966 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | -0.19 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | -0.23 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | -0.33 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | -0.33 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | -0.37 | Not recorded | 6938fe646cfd488761a53ad6 |
| Baseline KAN | -0.37 | Not recorded | 6938fe646cfd488761a53ad6 |

### Baseline KAN

R^2: 1. Result ID: 69a1732835dfcabb00e7197c.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"S","Threshold iota":"—"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: 1. Result ID: 69a1732835dfcabb00e71982.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"L","Threshold iota":"—"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: 1. Result ID: 69a1732835dfcabb00e71988.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"LM","Threshold iota":"—"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9999. Result ID: 69a1732835dfcabb00e7197f.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"S","Scaling parameter beta":"0.1"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9999. Result ID: 69a1732835dfcabb00e71985.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"L","Scaling parameter beta":"0.1"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9999. Result ID: 69a1732835dfcabb00e7198b.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"LM","Scaling parameter beta":"0.1"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9992. Result ID: 69a1732835dfcabb00e7198c.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"LM","Scaling parameter beta":"1"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9989. Result ID: 69a1732835dfcabb00e71981.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"S","Scaling parameter beta":"10"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9988. Result ID: 69a1732835dfcabb00e71980.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"S","Scaling parameter beta":"1"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9987. Result ID: 69a1732835dfcabb00e71986.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"L","Scaling parameter beta":"1"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9968. Result ID: 69a1732835dfcabb00e7198d.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"LM","Scaling parameter beta":"10"}. This record does not assert independent reproduction.

### S2KAN

R^2: 0.9966. Result ID: 69a1732835dfcabb00e71987.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

Recorded evaluation configuration: {"Architecture Shape":"L","Scaling parameter beta":"10"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: -0.19. Result ID: 69a1732835dfcabb00e7198a.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"LM","Threshold iota":"0.95"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: -0.23. Result ID: 69a1732835dfcabb00e71989.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"LM","Threshold iota":"0.5"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: -0.33. Result ID: 69a1732835dfcabb00e7197d.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"S","Threshold iota":"0.5"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: -0.33. Result ID: 69a1732835dfcabb00e7197e.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"S","Threshold iota":"0.95"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: -0.37. Result ID: 69a1732835dfcabb00e71983.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"L","Threshold iota":"0.5"}. This record does not assert independent reproduction.

### Baseline KAN

R^2: -0.37. Result ID: 69a1732835dfcabb00e71984.

[Reporting paper](<https://www.sota2.com/research/paper/6938fe646cfd488761a53ad6.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49411e209131ce9359e0.md>)

Recorded evaluation configuration: {"Architecture Shape":"L","Threshold iota":"0.95"}. This record does not assert independent reproduction.

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