# Lasso regression on Synthetic Lasso Problem D=50

Source: [Lasso regression on Synthetic Lasso Problem D=50](<https://www.sota2.com/research/sota/lasso-regression-on-synthetic-lasso-problem-d-50>)

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

Data updated: 2026-06-04T10:32:21.099Z

Evaluation of Lasso regression performance on the Synthetic Lasso Problem dataset configured with dimensionality D=50, measured using Solution time and Relative Error.

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 | Lasso regression |
| Dataset (including any stated split) | Synthetic Lasso Problem D=50 |
| Metric | Solution Time |
| Unit | TIME |
| 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

- [Solution Time](<https://www.sota2.com/research/sota/lasso-regression-on-synthetic-lasso-problem-d-50.md?metric=Solution%20Time>): Lower is better; unit: TIME.

- [Relative Error](<https://www.sota2.com/research/sota/lasso-regression-on-synthetic-lasso-problem-d-50.md?metric=Relative%20Error>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Solution Time | Result date | Report paper |
| --- | --- | --- | --- |
| Shooting | 0.0142 | Not recorded | 68fa50041e209131ce967d22 |
| Projection | 0.0224 | Not recorded | 68fa50041e209131ce967d22 |
| Iterated ridge regression | 0.0268 | Not recorded | 68fa50041e209131ce967d22 |
| Sub-gradients | 0.0472 | Not recorded | 68fa50041e209131ce967d22 |
| Smoothing (√x2 + ǫ) | 0.083 | Not recorded | 68fa50041e209131ce967d22 |
| Smoothing (integral sigmoid) | 0.1088 | Not recorded | 68fa50041e209131ce967d22 |
| Variational optimization | 0.1269 | Not recorded | 68fa50041e209131ce967d22 |

### Shooting

Solution Time: 0.0142. Result ID: 6a215426fbc373592c1db580.

[Reporting paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

Recorded evaluation configuration: {"Implementation":"MATLAB","Hardware":"2.27GHz 4GB machine","Experiments":"500"}. This record does not assert independent reproduction.

### Projection

Solution Time: 0.0224. Result ID: 6a215426fbc373592c1db584.

[Reporting paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

Recorded evaluation configuration: {"Implementation":"MATLAB","Hardware":"2.27GHz 4GB machine","Experiments":"500"}. This record does not assert independent reproduction.

### Iterated ridge regression

Solution Time: 0.0268. Result ID: 6a215426fbc373592c1db581.

[Reporting paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

Recorded evaluation configuration: {"Implementation":"MATLAB","Hardware":"2.27GHz 4GB machine","Experiments":"500"}. This record does not assert independent reproduction.

### Sub-gradients

Solution Time: 0.0472. Result ID: 6a215426fbc373592c1db585.

[Reporting paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

Recorded evaluation configuration: {"Implementation":"MATLAB","Hardware":"2.27GHz 4GB machine","Experiments":"500"}. This record does not assert independent reproduction.

### Smoothing (√x2 + ǫ)

Solution Time: 0.083. Result ID: 6a215426fbc373592c1db583.

[Reporting paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

Recorded evaluation configuration: {"Implementation":"MATLAB","Hardware":"2.27GHz 4GB machine","Experiments":"500"}. This record does not assert independent reproduction.

### Smoothing (integral sigmoid)

Solution Time: 0.1088. Result ID: 6a215426fbc373592c1db582.

[Reporting paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

Recorded evaluation configuration: {"Implementation":"MATLAB","Hardware":"2.27GHz 4GB machine","Experiments":"500"}. This record does not assert independent reproduction.

### Variational optimization

Solution Time: 0.1269. Result ID: 6a215426fbc373592c1db57f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa50041e209131ce967d22.md>)

Recorded evaluation configuration: {"Implementation":"MATLAB","Hardware":"2.27GHz 4GB machine","Experiments":"500"}. This record does not assert independent reproduction.

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