# Prediction Region Estimation on Synthetic data 100 seeds (test)

Source: [Prediction Region Estimation on Synthetic data 100 seeds (test)](<https://www.sota2.com/research/sota/prediction-region-estimation-on-synthetic-data-100-seeds-test>)

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

Data updated: 2026-04-24T08:30:53.815Z

Evaluation of Prediction Region Estimation performance on the test split of the Synthetic data 100 seeds dataset, measured using Coverage, Volume, and WSC.

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 | Prediction Region Estimation |
| Dataset (including any stated split) | Synthetic data 100 seeds (test) |
| Metric | Coverage |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 32 of 32 |
| 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

- [Coverage](<https://www.sota2.com/research/sota/prediction-region-estimation-on-synthetic-data-100-seeds-test.md?metric=Coverage>): Higher is better; unit: PERCENT.

- [Volume](<https://www.sota2.com/research/sota/prediction-region-estimation-on-synthetic-data-100-seeds-test.md?metric=Volume>): Higher is better; unit: SCALAR.

- [WSC](<https://www.sota2.com/research/sota/prediction-region-estimation-on-synthetic-data-100-seeds-test.md?metric=WSC>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Coverage | Result date | Report paper |
| --- | --- | --- | --- |
| Mahalanobis | 99.017 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 99.014 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 99.01 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 99.008 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 99.002 | Not recorded | 69eaf93755a3c32af89f8adc |
| Mahalanobis | 98.999 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 98.999 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 98.998 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 98.018 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 98.014 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 98.013 | Not recorded | 69eaf93755a3c32af89f8adc |
| Mahalanobis | 98.009 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 98.002 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 97.996 | Not recorded | 69eaf93755a3c32af89f8adc |
| Mahalanobis | 97.994 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 97.974 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 95.046 | Not recorded | 69eaf93755a3c32af89f8adc |
| Mahalanobis | 95.036 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 95.03 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 95.022 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 95.011 | Not recorded | 69eaf93755a3c32af89f8adc |
| Mahalanobis | 95.007 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 94.997 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 94.995 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 90.052 | Not recorded | 69eaf93755a3c32af89f8adc |
| Mahalanobis | 90.034 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 90.016 | Not recorded | 69eaf93755a3c32af89f8adc |
| Bonferroni | 90.007 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 90.005 | Not recorded | 69eaf93755a3c32af89f8adc |
| Mahalanobis | 90.001 | Not recorded | 69eaf93755a3c32af89f8adc |
| Density | 89.977 | Not recorded | 69eaf93755a3c32af89f8adc |
| MKS | 89.886 | Not recorded | 69eaf93755a3c32af89f8adc |

### Mahalanobis

Coverage: 99.017. Result ID: 69eb2a2a47f34ce924d36fe8.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.01","model":"Linear"}. This record does not assert independent reproduction.

### Density

Coverage: 99.014. Result ID: 69eb2a2a47f34ce924d36fe9.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.01","model":"Linear"}. This record does not assert independent reproduction.

### Density

Coverage: 99.01. Result ID: 69eb2a2a47f34ce924d36fed.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.01","model":"MLP"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 99.008. Result ID: 69eb2a2a47f34ce924d36fe7.

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

Recorded evaluation configuration: {"alpha":"0.01","model":"Linear"}. This record does not assert independent reproduction.

### MKS

Coverage: 99.002. Result ID: 69eb2a2a47f34ce924d36fea.

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

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

Recorded evaluation configuration: {"alpha":"0.01","model":"Linear"}. This record does not assert independent reproduction.

### Mahalanobis

Coverage: 98.999. Result ID: 69eb2a2a47f34ce924d36fec.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.01","model":"MLP"}. This record does not assert independent reproduction.

### MKS

Coverage: 98.999. Result ID: 69eb2a2a47f34ce924d36fee.

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

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

Recorded evaluation configuration: {"alpha":"0.01","model":"MLP"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 98.998. Result ID: 69eb2a2a47f34ce924d36feb.

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

Recorded evaluation configuration: {"alpha":"0.01","model":"MLP"}. This record does not assert independent reproduction.

### Density

Coverage: 98.018. Result ID: 69eb2a2a47f34ce924d36fe5.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.02","model":"MLP"}. This record does not assert independent reproduction.

### Density

Coverage: 98.014. Result ID: 69eb2a2a47f34ce924d36fe1.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.02","model":"Linear"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 98.013. Result ID: 69eb2a2a47f34ce924d36fe3.

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

Recorded evaluation configuration: {"alpha":"0.02","model":"MLP"}. This record does not assert independent reproduction.

### Mahalanobis

Coverage: 98.009. Result ID: 69eb2a2a47f34ce924d36fe4.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.02","model":"MLP"}. This record does not assert independent reproduction.

### MKS

Coverage: 98.002. Result ID: 69eb2a2a47f34ce924d36fe6.

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

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

Recorded evaluation configuration: {"alpha":"0.02","model":"MLP"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 97.996. Result ID: 69eb2a2a47f34ce924d36fdf.

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

Recorded evaluation configuration: {"alpha":"0.02","model":"Linear"}. This record does not assert independent reproduction.

### Mahalanobis

Coverage: 97.994. Result ID: 69eb2a2a47f34ce924d36fe0.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.02","model":"Linear"}. This record does not assert independent reproduction.

### MKS

Coverage: 97.974. Result ID: 69eb2a2a47f34ce924d36fe2.

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

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

Recorded evaluation configuration: {"alpha":"0.02","model":"Linear"}. This record does not assert independent reproduction.

### Density

Coverage: 95.046. Result ID: 69eb2a2a47f34ce924d36fdd.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.05","model":"MLP"}. This record does not assert independent reproduction.

### Mahalanobis

Coverage: 95.036. Result ID: 69eb2a2a47f34ce924d36fdc.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.05","model":"MLP"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 95.03. Result ID: 69eb2a2a47f34ce924d36fdb.

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

Recorded evaluation configuration: {"alpha":"0.05","model":"MLP"}. This record does not assert independent reproduction.

### Density

Coverage: 95.022. Result ID: 69eb2a2a47f34ce924d36fd9.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.05","model":"Linear"}. This record does not assert independent reproduction.

### MKS

Coverage: 95.011. Result ID: 69eb2a2a47f34ce924d36fde.

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

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

Recorded evaluation configuration: {"alpha":"0.05","model":"MLP"}. This record does not assert independent reproduction.

### Mahalanobis

Coverage: 95.007. Result ID: 69eb2a2a47f34ce924d36fd8.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.05","model":"Linear"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 94.997. Result ID: 69eb2a2a47f34ce924d36fd7.

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

Recorded evaluation configuration: {"alpha":"0.05","model":"Linear"}. This record does not assert independent reproduction.

### MKS

Coverage: 94.995. Result ID: 69eb2a2a47f34ce924d36fda.

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

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

Recorded evaluation configuration: {"alpha":"0.05","model":"Linear"}. This record does not assert independent reproduction.

### MKS

Coverage: 90.052. Result ID: 69eb2a2a47f34ce924d36fd6.

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

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

Recorded evaluation configuration: {"alpha":"0.1","model":"MLP"}. This record does not assert independent reproduction.

### Mahalanobis

Coverage: 90.034. Result ID: 69eb2a2a47f34ce924d36fd4.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.1","model":"MLP"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 90.016. Result ID: 69eb2a2a47f34ce924d36fcf.

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

Recorded evaluation configuration: {"alpha":"0.1","model":"Linear"}. This record does not assert independent reproduction.

### Bonferroni

Coverage: 90.007. Result ID: 69eb2a2a47f34ce924d36fd3.

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

Recorded evaluation configuration: {"alpha":"0.1","model":"MLP"}. This record does not assert independent reproduction.

### Density

Coverage: 90.005. Result ID: 69eb2a2a47f34ce924d36fd1.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.1","model":"Linear"}. This record does not assert independent reproduction.

### Mahalanobis

Coverage: 90.001. Result ID: 69eb2a2a47f34ce924d36fd0.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa58751e209131ce9ae6b8.md>)

Recorded evaluation configuration: {"alpha":"0.1","model":"Linear"}. This record does not assert independent reproduction.

### Density

Coverage: 89.977. Result ID: 69eb2a2a47f34ce924d36fd5.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6aeb1e209131cea2b0d0.md>)

Recorded evaluation configuration: {"alpha":"0.1","model":"MLP"}. This record does not assert independent reproduction.

### MKS

Coverage: 89.886. Result ID: 69eb2a2a47f34ce924d36fd2.

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

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

Recorded evaluation configuration: {"alpha":"0.1","model":"Linear"}. This record does not assert independent reproduction.

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