# Mathematical Reasoning on AMC12 (ECE, Brier score)

Source: [Mathematical Reasoning on AMC12 (ECE, Brier score)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc12-ece-brier-score>)

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

Data updated: 2026-03-05T07:28:40.444Z

Evaluation of model performance on mathematical reasoning tasks using the AMC 12 dataset, focusing on calibration metrics like 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) | AMC12 |
| Metric | ECE |
| Unit | PERCENT |
| 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-amc12-ece-brier-score.md?metric=ECE>): Lower is better; unit: PERCENT.

- [Brier Score](<https://www.sota2.com/research/sota/mathematical-reasoning-on-amc12-ece-brier-score.md?metric=Brier%20Score>): Lower is better; unit: PERCENT.

## Recorded results

| Method | ECE | Result date | Report paper |
| --- | --- | --- | --- |
| Probe | 10.64 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 12.79 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 16 | 14.62 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 4 | 14.77 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 64 | 17.31 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 18.01 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 64 | 18.23 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 64 | 19.29 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 19.85 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 16 | 19.88 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 16 | 20.02 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 26.57 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 27.25 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 4 | 30.14 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 4 | 30.5 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 32.88 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 35.2 | Not recorded | 69a90de32d603e6de3e40602 |

### Probe

ECE: 10.64. Result ID: 69a9309b6dbb7075b95232bd.

[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: 12.79. Result ID: 69a9309b6dbb7075b95232be.

[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.

### MSV 16

ECE: 14.62. Result ID: 69a9309b6dbb7075b95232c8.

[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: 14.77. Result ID: 69a9309b6dbb7075b95232c3.

[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 64

ECE: 17.31. Result ID: 69a9309b6dbb7075b95232cd.

[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

ECE: 18.01. Result ID: 69a9309b6dbb7075b95232bf.

[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 + WV 64

ECE: 18.23. Result ID: 69a9309b6dbb7075b95232cb.

[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: 19.29. Result ID: 69a9309b6dbb7075b95232cc.

[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 1

ECE: 19.85. Result ID: 69a9309b6dbb7075b95232c0.

[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 + WV 16

ECE: 19.88. Result ID: 69a9309b6dbb7075b95232c6.

[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: 20.02. Result ID: 69a9309b6dbb7075b95232c7.

[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: 26.57. Result ID: 69a9309b6dbb7075b95232c4.

[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: 27.25. Result ID: 69a9309b6dbb7075b95232c5.

[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 + WV 4

ECE: 30.14. Result ID: 69a9309b6dbb7075b95232c2.

[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 + WV 4

ECE: 30.5. Result ID: 69a9309b6dbb7075b95232c1.

[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: 32.88. Result ID: 69a9309b6dbb7075b95232c9.

[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

ECE: 35.2. Result ID: 69a9309b6dbb7075b95232ca.

[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.

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