Challenge: Recent surge in deep learning technologies has significantly accelerated research in this area.
Approach: They propose a comprehensive summary of the relevant tasks in geometry problem solving and a review of related deep learning methods.
Outcome: The proposed method is based on a systematic review of related methods and evaluation metrics and methods.

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A Survey of Deep Learning for Mathematical Reasoning (2023.acl-long)

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Challenge: a survey of deep learning for mathematical reasoning examines the field . a comprehensive reading list is provided to assist readers interested in the field.
Approach: They present a survey of deep learning for mathematical reasoning over the past decade . they outline directions for future research and highlight potential for further exploration .
Outcome: The proposed framework is based on the results of a decade-long survey of deep learning for mathematical reasoning.
A Review on Deep Learning Techniques Applied to Answer Selection (C18-1)

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Challenge: Existing deep learning methods for answer selection are not feature engineering or expensive external resources.
Approach: They propose to use deep learning methods to analyze and predict answer quality . they use a set of candidate answers to identify which of the candidates answers the question correctly.
Outcome: The proposed methods produce impressive performance without feature engineering or expensive external resources.
Large Language Models for Mathematical Reasoning: Progresses and Challenges (2024.eacl-srw)

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Challenge: a survey examines the landscape of mathematical problem-solving techniques . large language models have proven to be potent assets in unraveling nuances of mathematical reasoning .
Approach: They examine the evolution of Large Language Models (LLMs) for solving mathematical problems . they examine the spectrum of LLM-oriented techniques proposed for solving math problems - and their challenges .
Outcome: The survey examines the spectrum of proposed LLM-oriented techniques in solving math problems.
GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoning (2021.findings-acl)

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Challenge: Existing methods to solve geometric problems are dependent on handcraft rules and limited on small-scale datasets.
Approach: They propose a Geometric Question Answering dataset with 5,010 geometric problems with corresponding annotated programs to illustrate the solving process.
Outcome: The proposed method is significantly lower than human performance on the proposed dataset than on a publicly available dataset.
Beyond Lines and Circles: Unveiling the Geometric Reasoning Gap in Large Language Models (2024.findings-emnlp)

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Challenge: Recent advances in Large Language Models (LLMs) demonstrate increasing proficiency in complex mathematical and algorithmic tasks, yet their geometric reasoning skills are underexplored.
Approach: They propose a framework that enhances LLMs’ reasoning potential through a multi-agent system conducting internal dialogue.
Outcome: The proposed framework enhances LLMs’ reasoning potential through a multi-agent system conducting internal dialogue.
Plane Geometry Problem Solving with Multi-modal Reasoning: A Survey (2026.findings-eacl)

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Challenge: Plane geometry problem solving has gained significant attention as a benchmark to assess the multi-modal reasoning capabilities of large vision-language models.
Approach: They present a systematic review of existing work in PGPS and summarize their results.
Outcome: The proposed frameworks are compared with existing frameworks and analyze them according to their architectural designs.
Deep Learning on Graphs for Natural Language Processing (2021.naacl-tutorials)

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Challenge: Graph Neural Networks (GNNs) are powerful tools for non-Euclidean data modeling and are used in many graph-related NLP tasks.
Approach: This tutorial will cover applying deep learning on graph techniques to NLP using Graph Neural Networks (GNNs) Graph4NLP is the first library for researchers and practitioners for easy use of GNNs for various NLP tasks.
Outcome: This tutorial will cover the latest developments in deep learning on graph techniques and their applications in various NLP tasks.
GeoGPT4V: Towards Geometric Multi-modal Large Language Models with Geometric Image Generation (2024.emnlp-main)

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Challenge: Existing datasets are too challenging for direct model learning or suffer from misalignment between text and images.
Approach: They propose a pipeline that leverages GPT-4 and GPT4V to generate geometry problems with aligned text and images, facilitating model learning.
Outcome: The proposed pipeline generates 4.9K geometry problems with aligned text and images, facilitating model learning.
Sequence to General Tree: Knowledge-Guided Geometry Word Problem Solving (2021.acl-short)

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Challenge: Existing neural solvers only generate binary expression trees that contain basic arithmetic operators and do not explicitly use the math formulas.
Approach: They propose a sequence-to-general tree that generates interpretable and executable operation trees where nodes can be formulas with an arbitrary number of arguments.
Outcome: The proposed tree generates interpretable and executable operation trees with formulas with an arbitrary number of arguments.
Deep Learning for Natural Language Inference (N19-5)

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Challenge: This tutorial discusses cutting-edge research on NLI, including recent advance on dataset development, cutting- edge deep learning models, and highlights from recent research on using NLI to understand capabilities and limits of deep learning for language understanding and reasoning.
Approach: This tutorial discusses cutting-edge research on NLI, including recent advance on dataset development and cutting- edge deep learning models.
Outcome: This tutorial discusses cutting-edge research on NLI, including recent advance on dataset development, cutting- edge deep learning models, and highlights from recent research on using NLI to understand capabilities and limits of deep learning model for language understanding and reasoning.

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