# Mathematical Reasoning on MATH (MH)

Source: [Mathematical Reasoning on MATH (MH)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math-mh>)

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

Data updated: 2026-05-13T09:54:18.862Z

Evaluation of model performance on the MATH dataset for mathematical reasoning, reporting the Mean Harmonic Score (MH).

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 | Mean Harmonic Score (MH) |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 16 of 16 |
| 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

- [Mean Harmonic Score (MH)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math-mh.md?metric=Mean%20Harmonic%20Score%20(MH)>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Mean Harmonic Score (MH) | Result date | Report paper |
| --- | --- | --- | --- |
| GEAR | 80.2 | Not recorded | 6a04059cdbc836b87d82758f |
| OPSD | 78.3 | Not recorded | 6a04059cdbc836b87d82758f |
| GEAR | 77.6 | Not recorded | 6a04059cdbc836b87d82758f |
| ARPO | 76.4 | Not recorded | 6a04059cdbc836b87d82758f |
| MT-GRPO | 76.2 | Not recorded | 6a04059cdbc836b87d82758f |
| GRPO | 75.8 | Not recorded | 6a04059cdbc836b87d82758f |
| GRPO | 75.4 | Not recorded | 6a04059cdbc836b87d82758f |
| OPSD+RL | 74.6 | Not recorded | 6a04059cdbc836b87d82758f |
| ARPO | 74.2 | Not recorded | 6a04059cdbc836b87d82758f |
| GEAR | 74 | Not recorded | 6a04059cdbc836b87d82758f |
| OPSD | 72.8 | Not recorded | 6a04059cdbc836b87d82758f |
| GRPO | 72.8 | Not recorded | 6a04059cdbc836b87d82758f |
| Base | 72.5 | Not recorded | 6a04059cdbc836b87d82758f |
| MT-GRPO | 72.4 | Not recorded | 6a04059cdbc836b87d82758f |
| Base | 72.1 | Not recorded | 6a04059cdbc836b87d82758f |
| OPSD+RL | 71.9 | Not recorded | 6a04059cdbc836b87d82758f |

### GEAR

Mean Harmonic Score (MH): 80.2. Result ID: 6a0448eb47f34ce924ea9340.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### OPSD

Mean Harmonic Score (MH): 78.3. Result ID: 6a0448eb47f34ce924ea933b.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6978471ca2b28e761d87ca01.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### GEAR

Mean Harmonic Score (MH): 77.6. Result ID: 6a0448eb47f34ce924ea9349.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Multi-Domain Generalization"}. This record does not assert independent reproduction.

### ARPO

Mean Harmonic Score (MH): 76.4. Result ID: 6a0448eb47f34ce924ea933e.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a331e209131cea81b93.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### MT-GRPO

Mean Harmonic Score (MH): 76.2. Result ID: 6a0448eb47f34ce924ea933f.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### GRPO

Mean Harmonic Score (MH): 75.8. Result ID: 6a0448eb47f34ce924ea9348.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Multi-Domain Generalization"}. This record does not assert independent reproduction.

### GRPO

Mean Harmonic Score (MH): 75.4. Result ID: 6a0448eb47f34ce924ea933d.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### OPSD+RL

Mean Harmonic Score (MH): 74.6. Result ID: 6a0448eb47f34ce924ea933c.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6978471ca2b28e761d87ca01.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### ARPO

Mean Harmonic Score (MH): 74.2. Result ID: 6a0448eb47f34ce924ea9345.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a331e209131cea81b93.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### GEAR

Mean Harmonic Score (MH): 74. Result ID: 6a0448eb47f34ce924ea9347.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### OPSD

Mean Harmonic Score (MH): 72.8. Result ID: 6a0448eb47f34ce924ea9342.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6978471ca2b28e761d87ca01.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### GRPO

Mean Harmonic Score (MH): 72.8. Result ID: 6a0448eb47f34ce924ea9344.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### Base

Mean Harmonic Score (MH): 72.5. Result ID: 6a0448eb47f34ce924ea933a.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### MT-GRPO

Mean Harmonic Score (MH): 72.4. Result ID: 6a0448eb47f34ce924ea9346.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### Base

Mean Harmonic Score (MH): 72.1. Result ID: 6a0448eb47f34ce924ea9341.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

### OPSD+RL

Mean Harmonic Score (MH): 71.9. Result ID: 6a0448eb47f34ce924ea9343.

[Reporting paper](<https://www.sota2.com/research/paper/6a04059cdbc836b87d82758f.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6978471ca2b28e761d87ca01.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B","Evaluation Context":"Standard"}. This record does not assert independent reproduction.

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