# Mathematical Reasoning on MATH (ECE, Brier Score)

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

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

Data updated: 2026-03-05T07:28:40.372Z

Evaluation of model calibration performance on the MATH dataset 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) | MATH |
| 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-math-ece-brier-score.md?metric=ECE>): Lower is better; unit: PERCENT.

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

## Recorded results

| Method | ECE | Result date | Report paper |
| --- | --- | --- | --- |
| Probe | 7.26 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 8.49 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 4 | 11.33 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 16 | 11.6 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 11.68 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 64 | 12.59 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 64 | 13 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 13.16 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 64 | 13.23 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 16 | 13.53 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 16 | 13.56 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 15.59 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 17.4 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe + WV 4 | 17.97 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 + WV 4 | 18.15 | Not recorded | 69a90de32d603e6de3e40602 |
| Probe | 18.48 | Not recorded | 69a90de32d603e6de3e40602 |
| MSV 1 | 21.28 | Not recorded | 69a90de32d603e6de3e40602 |

### Probe

ECE: 7.26. Result ID: 69a9309b6dbb7075b952329b.

[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: 8.49. Result ID: 69a9309b6dbb7075b952329c.

[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 4

ECE: 11.33. Result ID: 69a9309b6dbb7075b95232a1.

[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 16

ECE: 11.6. Result ID: 69a9309b6dbb7075b95232a6.

[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: 11.68. Result ID: 69a9309b6dbb7075b952329d.

[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: 12.59. Result ID: 69a9309b6dbb7075b95232a9.

[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: 13. Result ID: 69a9309b6dbb7075b95232aa.

[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: 13.16. Result ID: 69a9309b6dbb7075b952329e.

[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: 13.23. Result ID: 69a9309b6dbb7075b95232ab.

[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: 13.53. Result ID: 69a9309b6dbb7075b95232a4.

[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: 13.56. Result ID: 69a9309b6dbb7075b95232a5.

[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: 15.59. Result ID: 69a9309b6dbb7075b95232a2.

[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: 17.4. Result ID: 69a9309b6dbb7075b95232a3.

[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 + WV 4

ECE: 17.97. Result ID: 69a9309b6dbb7075b952329f.

[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.

### MSV 1 + WV 4

ECE: 18.15. Result ID: 69a9309b6dbb7075b95232a0.

[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: 18.48. Result ID: 69a9309b6dbb7075b95232a7.

[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: 21.28. Result ID: 69a9309b6dbb7075b95232a8.

[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.

Page 1 of 1. This is an index page, not the full collection.
