# Mathematical Reasoning on AIME (ECE and Brier Score)

Source: [Mathematical Reasoning on AIME (ECE and Brier Score)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-aime-ece-and-brier-score>)

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

Data updated: 2026-03-05T07:28:40.476Z

Evaluation of model performance on the American Invitational Mathematics Examination (AIME) dataset, focusing on calibration and uncertainty quantification using Expected Calibration Error (ECE) and Brier score.

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 | Mathematical Reasoning |
| Dataset (including any stated split) | AIME |
| Metric | ECE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 17 of 17 |
| 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

- [ECE](<https://www.sota2.com/research/sota/mathematical-reasoning-on-aime-ece-and-brier-score.md?metric=ECE>): Lower is better; unit: SCALAR.

- [Brier Score](<https://www.sota2.com/research/sota/mathematical-reasoning-on-aime-ece-and-brier-score.md?metric=Brier%20Score>): Lower is better; unit: SCALAR.

## Recorded results

| Method | ECE | Result date | Report paper |
| --- | --- | --- | --- |
| MSV 64 | 0.0749 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 16 | 0.0876 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 4 | 0.1019 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 0.1024 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 0.1043 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 64 | 0.1222 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 64 | 0.1302 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 16 | 0.1633 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 16 | 0.1659 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 0.1661 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 0.1703 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 0.2364 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 0.2407 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 0.3013 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 4 | 0.3149 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 0.3162 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 4 | 0.3204 | Not recorded | 69a90de32d603e6de3e40602 |

### MSV 64

ECE: 0.0749. Result ID: 69a9309b6dbb7075b95232de.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"64"}. This record does not assert independent reproduction.

### MSV 16

ECE: 0.0876. Result ID: 69a9309b6dbb7075b95232d9.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"16"}. This record does not assert independent reproduction.

### MSV 4

ECE: 0.1019. Result ID: 69a9309b6dbb7075b95232d4.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"4"}. This record does not assert independent reproduction.

### Probe

ECE: 0.1024. Result ID: 69a9309b6dbb7075b95232ce.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77d91e209131cea758d4.md>)

Recorded evaluation configuration: {"N":"1"}. This record does not assert independent reproduction.

### MSV 1

ECE: 0.1043. Result ID: 69a9309b6dbb7075b95232cf.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"1"}. This record does not assert independent reproduction.

### Probe + WV 64

ECE: 0.1222. Result ID: 69a9309b6dbb7075b95232dc.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77d91e209131cea758d4.md>)

Recorded evaluation configuration: {"N":"64"}. This record does not assert independent reproduction.

### MSV 1 + WV 64

ECE: 0.1302. Result ID: 69a9309b6dbb7075b95232dd.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"64"}. This record does not assert independent reproduction.

### Probe + WV 16

ECE: 0.1633. Result ID: 69a9309b6dbb7075b95232d7.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77d91e209131cea758d4.md>)

Recorded evaluation configuration: {"N":"16"}. This record does not assert independent reproduction.

### MSV 1 + WV 16

ECE: 0.1659. Result ID: 69a9309b6dbb7075b95232d8.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"16"}. This record does not assert independent reproduction.

### MSV 1

ECE: 0.1661. Result ID: 69a9309b6dbb7075b95232d1.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"4"}. This record does not assert independent reproduction.

### Probe

ECE: 0.1703. Result ID: 69a9309b6dbb7075b95232d0.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77d91e209131cea758d4.md>)

Recorded evaluation configuration: {"N":"4"}. This record does not assert independent reproduction.

### Probe

ECE: 0.2364. Result ID: 69a9309b6dbb7075b95232d5.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77d91e209131cea758d4.md>)

Recorded evaluation configuration: {"N":"16"}. This record does not assert independent reproduction.

### MSV 1

ECE: 0.2407. Result ID: 69a9309b6dbb7075b95232d6.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"16"}. This record does not assert independent reproduction.

### Probe

ECE: 0.3013. Result ID: 69a9309b6dbb7075b95232da.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77d91e209131cea758d4.md>)

Recorded evaluation configuration: {"N":"64"}. This record does not assert independent reproduction.

### MSV 1 + WV 4

ECE: 0.3149. Result ID: 69a9309b6dbb7075b95232d3.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"4"}. This record does not assert independent reproduction.

### MSV 1

ECE: 0.3162. Result ID: 69a9309b6dbb7075b95232db.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

Recorded evaluation configuration: {"N":"64"}. This record does not assert independent reproduction.

### Probe + WV 4

ECE: 0.3204. Result ID: 69a9309b6dbb7075b95232d2.

[Reporting paper](<https://www.sota2.com/research/paper/69a90de32d603e6de3e40602.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77d91e209131cea758d4.md>)

Recorded evaluation configuration: {"N":"4"}. This record does not assert independent reproduction.

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