# Mathematical Information Retrieval on CLEF ARQMath 2

Source: [Mathematical Information Retrieval on CLEF ARQMath 2](<https://www.sota2.com/research/sota/mathematical-information-retrieval-on-clef-arqmath-2>)

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

Data updated: 2026-02-26T05:53:03.787Z

Evaluation of model performance on the CLEF ARQMath 2 dataset for Mathematical Information Retrieval tasks, typically measured using ranking metrics like NDCG', MAP', and BPref.

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 Information Retrieval |
| Dataset (including any stated split) | CLEF ARQMath 2 |
| Metric | NDCG' |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 11 of 11 |
| 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

- [NDCG'](<https://www.sota2.com/research/sota/mathematical-information-retrieval-on-clef-arqmath-2.md?metric=NDCG%27>): Higher is better; unit: PERCENT.

- [MAP'](<https://www.sota2.com/research/sota/mathematical-information-retrieval-on-clef-arqmath-2.md?metric=MAP%27>): Higher is better; unit: PERCENT.

- [P@10](<https://www.sota2.com/research/sota/mathematical-information-retrieval-on-clef-arqmath-2.md?metric=P%4010>): Higher is better; unit: PERCENT.

- [BPref](<https://www.sota2.com/research/sota/mathematical-information-retrieval-on-clef-arqmath-2.md?metric=BPref>): Higher is better; unit: PERCENT.

- [Judged %](<https://www.sota2.com/research/sota/mathematical-information-retrieval-on-clef-arqmath-2.md?metric=Judged%20%25>): Higher is better; unit: PERCENT.

## Recorded results

| Method | NDCG' | Result date | Report paper |
| --- | --- | --- | --- |
| ColBERT | 32.9 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| DPR | 27 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| MIRMU CompuBERT | 26.2 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| TU\_DBS ColARQBERT | 22.5 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| further-pretrained BERT | 20 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| further-pretrained BERT | 19.5 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| TU\_DBS ColBERT | 18.3 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| SciBERT | 17.6 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| BERT | 17.4 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| FormulaEmb | 16.1 | Not recorded | 68fa6dbe1e209131cea3bca8 |
| TU\_DBS ColSciBERT | 2.8 | Not recorded | 68fa6dbe1e209131cea3bca8 |

### ColBERT

NDCG': 32.9. Result ID: 698fe35a3a6c314849fc9519.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

[Implementation](<https://github.com/approach0/math-dense-retrievers/tree/emnlp2022>)

Recorded evaluation configuration: {"Training stage":"fully-trained"}. This record does not assert independent reproduction.

### DPR

NDCG': 27. Result ID: 698fe35a3a6c314849fc9518.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

[Implementation](<https://github.com/approach0/math-dense-retrievers/tree/emnlp2022>)

Recorded evaluation configuration: {"Training stage":"fully-trained"}. This record does not assert independent reproduction.

### MIRMU CompuBERT

NDCG': 26.2. Result ID: 698fe35a3a6c314849fc9516.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### TU\_DBS ColARQBERT

NDCG': 22.5. Result ID: 698fe35a3a6c314849fc9515.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### further-pretrained BERT

NDCG': 20. Result ID: 698fe35a3a6c314849fc9512.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

Recorded evaluation configuration: {"Pre-trained backbone":"BERT","Fine-tuning epochs":"1","Further-pretraining epochs":"7"}. This record does not assert independent reproduction.

### further-pretrained BERT

NDCG': 19.5. Result ID: 698fe35a3a6c314849fc9511.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

Recorded evaluation configuration: {"Pre-trained backbone":"BERT","Fine-tuning epochs":"1","Further-pretraining epochs":"3"}. This record does not assert independent reproduction.

### TU\_DBS ColBERT

NDCG': 18.3. Result ID: 698fe35a3a6c314849fc9514.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### SciBERT

NDCG': 17.6. Result ID: 698fe35a3a6c314849fc9510.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66551e209131cea0f8c9.md>)

[Implementation](<https://github.com/allenai/scibert/>)

Recorded evaluation configuration: {"Pre-trained backbone":"SciBERT","Fine-tuning epochs":"1"}. This record does not assert independent reproduction.

### BERT

NDCG': 17.4. Result ID: 698fe35a3a6c314849fc950f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65c31e209131cea0c4ed.md>)

[Implementation](<https://github.com/google-research/bert>)

Recorded evaluation configuration: {"Pre-trained backbone":"BERT","Fine-tuning epochs":"1"}. This record does not assert independent reproduction.

### FormulaEmb

NDCG': 16.1. Result ID: 698fe35a3a6c314849fc9517.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### TU\_DBS ColSciBERT

NDCG': 2.8. Result ID: 698fe35a3a6c314849fc9513.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dbe1e209131cea3bca8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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