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

21 Mar 2022  ·  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.

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Datasets


Results from the Paper


 Ranked #1 on Math Information Retrieval on ARQMath (using extra training data)

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Task Dataset Model Metric Name Metric Value Global Rank Uses Extra
Training Data
Result Benchmark
Math Information Retrieval ARQMath Approach0+ColBERT (reranking) P@10 0.276 # 1
Math Information Retrieval ARQMath Approach0+ColBERT (fusion) NDCG 0.447 # 1
MAP 0.215 # 1
P@10 0.252 # 2
bpref 0.202 # 1

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