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LSTM과 BERT를 활용한 수학 문제 유형 분류

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Abstract
Mathematical equations are crucial for expressing complex concepts in science and mathematics, yet their intricate structures and hierarchical relationships present significant challenges for computational interpretation and classification. This study proposes a deep learning model that integrates Long Short-Term Memory (LSTM) networks with Bidirectional Encoder Representations from Transformers (BERT) to enhance equation domain classification. Equations are represented in LaTex format and converted into bigram token sequences for structural pattern recognition by the LSTM encoder, while the masked textual context is processed by the BERT encoder to capture contextual meaning. Based on the two codes, MLP decides on the topic category. Experimental results demonstrate that the combined model outperforms standalone LSTM and BERT models, achieving an accuracy of 0.9196, precision of 0.9211, recall of 0.9197, and F1 score of 0.9200. These findings confirm that integrating structural and contextual information significantly improves equation meaning classification. Future work will explore expanding the dataset for better generalization and changing the neural network models used in the original study.
Author(s)
이태호
Issued Date
2025
Awarded Date
2025-02
Type
Dissertation
Keyword
신경망,BERT,LSTM,수학문제분류,유형분류
Publisher
국립부경대학교 대학원
URI
https://repository.pknu.ac.kr:8443/handle/2021.oak/34000
http://pknu.dcollection.net/common/orgView/200000848368
Alternative Author(s)
LEE TAE HO
Affiliation
국립부경대학교 대학원
Department
대학원 인공지능융합학과
Advisor
신봉기
Table Of Contents
Ⅰ. 서 론 1
1. 연구 배경 1
2. 연구 목적 및 구성 2
Ⅱ. 관련 연구 4
1. 방정식의 벡터화(equation embedding) 4
2. 국내외 수학 문제 유형 분석 관련 연구 동향 5
Ⅲ. 배경 7
1. 단어 임베딩(Word embedding) 7
2. LSTM(Long Short-Term Memory) 10
3. BERT(Bidirectional Encoder Representations from Transformers) 15
Ⅳ. 제안 분류 모델 구성 21
1. 제안 모델 구성 21
2. 입력 데이터 전처리 23
3. LSTM 인코더 26
4. BERT 인코더 27
5. 특징 벡터 결합 및 출력 레이어 28
Ⅴ. 실험 조건 구성 및 성능 분석 29
1. 데이터셋, 실험 조건 구성 29
2. 모델 성능 분석 30
Ⅵ. 결 론 36
참고문헌 37
Degree
Master
Appears in Collections:
대학원 > 인공지능융합학과
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