Papers › Evaluating Token-Level and Passage-Level Dense Retrieval Models for Math Information Retrieval

Evaluating Token-Level and Passage-Level Dense Retrieval Models for Math Information Retrieval

21 Mar 2022arXiv:2203.11163archive 2025-07-28

Wei Zhong, Jheng-Hong Yang, Yuqing Xie, Jimmy Lin

With the recent success of dense retrieval methods based on bi-encoders, studies have applied this approach to various interesting downstream retrieval tasks with good efficiency and in-domain effectiveness. Recently, we have also seen the presence of dense retrieval models in Math Information Retrieval (MIR) tasks, but the most effective systems remain classic retrieval methods that consider hand-crafted structure features. In this work, we try to combine the best of both worlds:\ a well-defined structure search method for effective formula search and efficient bi-encoder dense retrieval models to capture contextual similarities. Specifically, we have evaluated two representative bi-encoder models for token-level and passage-level dense retrieval on recent MIR tasks. Our results show that bi-encoder models are highly complementary to existing structure search methods, and we are able to advance the state-of-the-art on MIR datasets.

PaperPDFCode

In Syntology Open this paper in Syntology's Atlas, the map of the papers in Syntology's graph and their citations.

Code

approach0/math-dense-retrievers officialmentioned in papermentioned on GitHub report

Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.

Code Syntology ran Syntology

Not run by Syntology. Nothing on this page verifies that the listed code works.

Tasks

Information RetrievalMathMath Information RetrievalRetrieval

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Math Information Retrieval ARQMath Approach0+ColBERT (reranking) P@10 0.276 #1 of 2 Archive leaderboard report
Math Information Retrieval ARQMath Approach0+ColBERT (fusion) MAP 0.215 #2 of 2 Archive leaderboard report
Math Information Retrieval ARQMath Approach0+ColBERT (fusion) NDCG 0.447 #2 of 2 Archive leaderboard report
Math Information Retrieval ARQMath Approach0+ColBERT (fusion) P@10 0.252 #2 of 2 Archive leaderboard report
Math Information Retrieval ARQMath Approach0+ColBERT (fusion) bpref 0.202 #2 of 2 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections