基于crf的序列标注算法在数学词题理解参考消解中的应用研究

Qingtang Liu, Xinqian Ma, Peng Zhou, Linjing Wu, Shuang Yu, Xueyan Yang
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摘要

解决应用问题中的参考现象是实现对数学问题理解的关键步骤。本研究与一般领域的汉语语料库进行对比,分析了数学分层采样词问题中参考解析的特点,并结合C4.5决策树算法探索关键因素。在此基础上,提出了一种基于crf的序列标注算法,利用该算法识别分层抽样问题的待解项并求解。实验数据为2012 - 2020年中国高考数学题和教科书试题的分层抽样字题。结果表明,基于CRF序列标注的数学分层抽样词问题的前词和暗指f值分别可达81.29%和90.69%,参考分辨率f值可达84.84%,高于传统贝叶斯方法。
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Research on the CRF-based Sequence Labeling Algorithm Used in Reference Resolution of Mathematical Word Problem Understanding
Resolving the reference phenomenon in application problems is a key step to realize the understanding of mathematical problems. Compared with the Chinese corpus in the general field, this study analyzed the characteristics of reference resolution in mathematical stratified sampling word problems, and explored key factors by combining the C4.5 decision tree algorithm. On this basis, the study proposed a CRF-based sequence labeling algorithm, which was exploited to identify the to-be-solved items of the stratified sampling problem and resolved them. The experimental data is the stratified sampling word problems collected from the math problems in the Chinese college entrance examination and the test problems in the textbook from 2012 to 2020. The results show that the F-values for the antecedents and anaphors of the mathematical stratified sampling word problems based on CRF sequence labeling can reach 81.29% and 90.69%, respectively, and the F-values for reference resolution can reach 84.84%, which is higher than the traditional Bayesian method.
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