# Multivariate Regression on Bio (real data)

Source: [Multivariate Regression on Bio (real data)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data>)

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

Data updated: 2026-04-24T08:30:53.737Z

Evaluation of model performance on the Multivariate Regression task using the Bio (real data) dataset, measured using Volume Ratio and MKS Coverage metrics across different confidence intervals (alpha levels).

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 | Multivariate Regression |
| Dataset (including any stated split) | Bio (real data) |
| Metric | Volume Ratio (1-alpha=.90) |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 3 of 3 |
| 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

- [Volume Ratio (1-alpha=.90)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=Volume%20Ratio%20(1-alpha%3D.90)>): Higher is better; unit: SCALAR.

- [Volume Ratio (1-alpha=.95)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=Volume%20Ratio%20(1-alpha%3D.95)>): Higher is better; unit: SCALAR.

- [Volume Ratio (1-alpha=.98)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=Volume%20Ratio%20(1-alpha%3D.98)>): Higher is better; unit: SCALAR.

- [Volume Ratio (1-alpha=.99)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=Volume%20Ratio%20(1-alpha%3D.99)>): Higher is better; unit: SCALAR.

- [MKS Coverage (1-alpha=.90)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=MKS%20Coverage%20(1-alpha%3D.90)>): Higher is better; unit: SCALAR.

- [MKS Coverage (1-alpha=.95)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=MKS%20Coverage%20(1-alpha%3D.95)>): Higher is better; unit: SCALAR.

- [MKS Coverage (1-alpha=.98)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=MKS%20Coverage%20(1-alpha%3D.98)>): Higher is better; unit: SCALAR.

- [MKS Coverage (1-alpha=.99)](<https://www.sota2.com/research/sota/multivariate-regression-on-bio-real-data.md?metric=MKS%20Coverage%20(1-alpha%3D.99)>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Volume Ratio (1-alpha=.90) | Result date | Report paper |
| --- | --- | --- | --- |
| MKS | 0.53949 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 0.51606 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 0.49689 | Not recorded | 69eaf93755a3c32af89f8adc |

### MKS

Volume Ratio (1-alpha=.90): 0.53949. Result ID: 69eb2a2a47f34ce924d36fcb.

[Reporting paper](<https://www.sota2.com/research/paper/69eaf93755a3c32af89f8adc.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69eaf93755a3c32af89f8adc.md>)

Recorded evaluation configuration: {"d":"4","Regression Model":"Ridge regression"}. This record does not assert independent reproduction.

### MKS

Volume Ratio (1-alpha=.90): 0.51606. Result ID: 69eb2a2a47f34ce924d36fc9.

[Reporting paper](<https://www.sota2.com/research/paper/69eaf93755a3c32af89f8adc.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69eaf93755a3c32af89f8adc.md>)

Recorded evaluation configuration: {"d":"2","Regression Model":"Ridge regression"}. This record does not assert independent reproduction.

### MKS

Volume Ratio (1-alpha=.90): 0.49689. Result ID: 69eb2a2a47f34ce924d36fca.

[Reporting paper](<https://www.sota2.com/research/paper/69eaf93755a3c32af89f8adc.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69eaf93755a3c32af89f8adc.md>)

Recorded evaluation configuration: {"d":"3","Regression Model":"Ridge regression"}. This record does not assert independent reproduction.

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