# Mathematical Information Retrieval on NTCIR Wiki-Formula 12 Source: [Mathematical Information Retrieval on NTCIR Wiki-Formula 12]() Collection index: [llms.txt]() Data updated: 2026-02-26T05:37:25.541Z Evaluation of Mathematical Information Retrieval performance on the NTCIR Wiki-Formula 12 dataset, measured using BPref and Judged % metrics. 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) | NTCIR Wiki-Formula 12 | | Metric | BPref (Full) | | Unit | SCALAR | | Direction | Higher 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 - [BPref (Full)](): Higher is better; unit: SCALAR. - [BPref (Partial)](): Higher is better; unit: SCALAR. - [Judged %](): Higher is better; unit: PERCENT. ## Recorded results | Method | BPref (Full) | Result date | Report paper | | --- | --- | --- | --- | | Approach0 + DPR | 0.7 | Not recorded | 68fa6dbe1e209131cea3bca8 | | Approach0 + ColBERT | 0.65 | Not recorded | 68fa6dbe1e209131cea3bca8 | | Tangent-S | 0.64 | Not recorded | 68fa6dbe1e209131cea3bca8 | | GNN | 0.63 | Not recorded | 68fa6dbe1e209131cea3bca8 | | Approach0 | 0.63 | Not recorded | 68fa6dbe1e209131cea3bca8 | | MathBERT | 0.614 | Not recorded | 68fa6dbe1e209131cea3bca8 | | MathBERT | 0.61 | Not recorded | 68fa6dbe1e209131cea3bca8 | | Tangent-CFT | 0.6 | Not recorded | 68fa6dbe1e209131cea3bca8 | | MCAT | 0.57 | Not recorded | 68fa6dbe1e209131cea3bca8 | | Approach0 + ColBERT | 0.56 | Not recorded | 68fa6dbe1e209131cea3bca8 | | ColBERT | 0.545 | Not recorded | 68fa6dbe1e209131cea3bca8 | | Approach0 + DPR | 0.53 | Not recorded | 68fa6dbe1e209131cea3bca8 | | further-pretrained BERT | 0.522 | Not recorded | 68fa6dbe1e209131cea3bca8 | | DPR | 0.516 | Not recorded | 68fa6dbe1e209131cea3bca8 | | SciBERT | 0.512 | Not recorded | 68fa6dbe1e209131cea3bca8 | | BERT | 0.505 | Not recorded | 68fa6dbe1e209131cea3bca8 | | further-pretrained BERT | 0.486 | Not recorded | 68fa6dbe1e209131cea3bca8 | ### Approach0 + DPR BPref (Full): 0.7. Result ID: 698fe35a3a6c314849fc9523. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"strategy":"end-to-end fusion"}. This record does not assert independent reproduction. ### Approach0 + ColBERT BPref (Full): 0.65. Result ID: 698fe35a3a6c314849fc9522. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"strategy":"end-to-end fusion"}. This record does not assert independent reproduction. ### Tangent-S BPref (Full): 0.64. Result ID: 698fe35a3a6c314849fc951b. [Reporting paper]() Recorded evaluation configuration: {"type":"Previous system"}. This record does not assert independent reproduction. ### GNN BPref (Full): 0.63. Result ID: 698fe35a3a6c314849fc951d. [Reporting paper]() Recorded evaluation configuration: {"type":"Previous system"}. This record does not assert independent reproduction. ### Approach0 BPref (Full): 0.63. Result ID: 698fe35a3a6c314849fc951f. [Reporting paper]() Recorded evaluation configuration: {"type":"Structure search baseline"}. This record does not assert independent reproduction. ### MathBERT BPref (Full): 0.614. Result ID: 698fe35a3a6c314849fc950c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble system":true}. This record does not assert independent reproduction. ### MathBERT BPref (Full): 0.61. Result ID: 698fe35a3a6c314849fc951e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"type":"Previous system"}. This record does not assert independent reproduction. ### Tangent-CFT BPref (Full): 0.6. Result ID: 698fe35a3a6c314849fc951c. [Reporting paper]() Recorded evaluation configuration: {"type":"Previous system"}. This record does not assert independent reproduction. ### MCAT BPref (Full): 0.57. Result ID: 698fe35a3a6c314849fc951a. [Reporting paper]() Recorded evaluation configuration: {"type":"Previous system"}. This record does not assert independent reproduction. ### Approach0 + ColBERT BPref (Full): 0.56. Result ID: 698fe35a3a6c314849fc9521. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"strategy":"reranking"}. This record does not assert independent reproduction. ### ColBERT BPref (Full): 0.545. Result ID: 698fe35a3a6c314849fc950e. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Training stage":"fully-trained"}. This record does not assert independent reproduction. ### Approach0 + DPR BPref (Full): 0.53. Result ID: 698fe35a3a6c314849fc9520. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"strategy":"reranking"}. This record does not assert independent reproduction. ### further-pretrained BERT BPref (Full): 0.522. Result ID: 698fe35a3a6c314849fc950b. [Reporting paper]() Recorded evaluation configuration: {"Pre-trained backbone":"BERT","Fine-tuning epochs":"1","Further-pretraining epochs":"7"}. This record does not assert independent reproduction. ### DPR BPref (Full): 0.516. Result ID: 698fe35a3a6c314849fc950d. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Training stage":"fully-trained"}. This record does not assert independent reproduction. ### SciBERT BPref (Full): 0.512. Result ID: 698fe35a3a6c314849fc9509. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Pre-trained backbone":"SciBERT","Fine-tuning epochs":"1"}. This record does not assert independent reproduction. ### BERT BPref (Full): 0.505. Result ID: 698fe35a3a6c314849fc9508. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Pre-trained backbone":"BERT","Fine-tuning epochs":"1"}. This record does not assert independent reproduction. ### further-pretrained BERT BPref (Full): 0.486. Result ID: 698fe35a3a6c314849fc950a. [Reporting paper]() Recorded evaluation configuration: {"Pre-trained backbone":"BERT","Fine-tuning epochs":"1","Further-pretraining epochs":"3"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.