Ensembling Math Information Retrieval Systems: MIRMU and MSM at ARQMath 2021

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This publication doesn't include Faculty of Arts. It includes Faculty of Informatics. Official publication website can be found on muni.cz.

Authors

NOVOTNÝ Vít ŠTEFÁNIK Michal LUPTÁK Dávid GELETKA Martin ZELINA Petr SOJKA Petr

Year of publication 2021
Type Article in Periodical
Magazine / Source CEUR Workshop Proceedings
MU Faculty or unit

Faculty of Informatics

Citation
Web PDF
Keywords information retrieval; question answering; math representations; math-aware information retrieval; word embeddings; ensembling; voting; ranking; data fusion
Description We report on the systems that the Math Information Retrieval group at Masaryk University (MIRMU) and the team of Faculty of Informatics students (MSM) prepared for task 1 (find answers) of the ARQMath lab at the CLEF conference. We have prototyped ten math-aware information retrieval (MIR) systems for the main question-answering task. Using the results of the ten "weak" systems, we ensembled them into committees and let them vote to provide question answers. We evaluated the proposed systems and ensembles, considering their diversity, hyperparameters, and representations used, and classified their approaches. We evidenced the diversity of all systems and evaluated three voting algorithms to collect and rank the answers. Ensembling techniques typically outperformed the base systems and showed the power of voting of diverse systems. Our prototypes help to understand the challenging problems of question-answering in the STEM domain, and our novel reproducible ensemble evaluation framework sets a new direction in MIR research. Finally, we formulate ten commandments for future work in the area.
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