# Bayesian Optimization on Styblinski-Tang d=2 synthetic (round 10)

Source: [Bayesian Optimization on Styblinski-Tang d=2 synthetic (round 10)](<https://www.sota2.com/research/sota/bayesian-optimization-on-styblinski-tang-d-2-synthetic-round-10>)

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

Data updated: 2026-02-26T06:01:52.514Z

Evaluation of Bayesian Optimization algorithms applied to the 2-dimensional Styblinski-Tang synthetic function (round 10), measured by Relative batch instantaneous regret.

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 | Bayesian Optimization |
| Dataset (including any stated split) | Styblinski-Tang d=2 synthetic (round 10) |
| Metric | Relative Batch Instantaneous Regret |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 9 of 9 |
| 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

- [Relative Batch Instantaneous Regret](<https://www.sota2.com/research/sota/bayesian-optimization-on-styblinski-tang-d-2-synthetic-round-10.md?metric=Relative%20Batch%20Instantaneous%20Regret>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Relative Batch Instantaneous Regret | Result date | Report paper |
| --- | --- | --- | --- |
| meanBEEBO | 0.168 | Not recorded | 68fa75361e209131cea6672a |
| meanBEEBO | 0.169 | Not recorded | 68fa75361e209131cea6672a |
| maxBEEBO | 0.17 | Not recorded | 68fa75361e209131cea6672a |
| meanBEEBO | 0.17 | Not recorded | 68fa75361e209131cea6672a |
| maxBEEBO | 0.17 | Not recorded | 68fa75361e209131cea6672a |
| maxBEEBO | 0.172 | Not recorded | 68fa75361e209131cea6672a |
| q-UCB | 1.024 | Not recorded | 68fa75361e209131cea6672a |
| q-UCB | 1.027 | Not recorded | 68fa75361e209131cea6672a |
| q-UCB | 1.051 | Not recorded | 68fa75361e209131cea6672a |

### meanBEEBO

Relative Batch Instantaneous Regret: 0.168. Result ID: 699393f93a6c31484916fb29.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Implementation](<https://github.com/novonordisk-research/BEE-BO>)

Recorded evaluation configuration: {"sqrt(kappa)":0.1,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### meanBEEBO

Relative Batch Instantaneous Regret: 0.169. Result ID: 699393f93a6c31484916fb2c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Implementation](<https://github.com/novonordisk-research/BEE-BO>)

Recorded evaluation configuration: {"sqrt(kappa)":1,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### maxBEEBO

Relative Batch Instantaneous Regret: 0.17. Result ID: 699393f93a6c31484916fb2d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Implementation](<https://github.com/novonordisk-research/BEE-BO>)

Recorded evaluation configuration: {"sqrt(kappa)":1,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### meanBEEBO

Relative Batch Instantaneous Regret: 0.17. Result ID: 699393f93a6c31484916fb2f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Implementation](<https://github.com/novonordisk-research/BEE-BO>)

Recorded evaluation configuration: {"sqrt(kappa)":10,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### maxBEEBO

Relative Batch Instantaneous Regret: 0.17. Result ID: 699393f93a6c31484916fb30.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Implementation](<https://github.com/novonordisk-research/BEE-BO>)

Recorded evaluation configuration: {"sqrt(kappa)":10,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### maxBEEBO

Relative Batch Instantaneous Regret: 0.172. Result ID: 699393f93a6c31484916fb2a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Implementation](<https://github.com/novonordisk-research/BEE-BO>)

Recorded evaluation configuration: {"sqrt(kappa)":0.1,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### q-UCB

Relative Batch Instantaneous Regret: 1.024. Result ID: 699393f93a6c31484916fb2b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65201e209131cea08985.md>)

Recorded evaluation configuration: {"sqrt(kappa)":0.1,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### q-UCB

Relative Batch Instantaneous Regret: 1.027. Result ID: 699393f93a6c31484916fb2e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65201e209131cea08985.md>)

Recorded evaluation configuration: {"sqrt(kappa)":1,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

### q-UCB

Relative Batch Instantaneous Regret: 1.051. Result ID: 699393f93a6c31484916fb31.

[Reporting paper](<https://www.sota2.com/research/paper/68fa75361e209131cea6672a.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65201e209131cea08985.md>)

Recorded evaluation configuration: {"sqrt(kappa)":10,"Batch Size (Q)":100,"Round":10}. This record does not assert independent reproduction.

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