Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring

Avinash Anand; Raj Jaiswal; Abhishek Dharmadhikari; Atharva Marathe; Harsh Parimal Popat; Harshil Mital; Kritarth Prasad; Rajiv Ratn Shah; Roger Zimmermann

arXiv · 2412.00846

Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring

Avinash Anand·Raj Jaiswal·Abhishek Dharmadhikari·Atharva Marathe·Harsh Parimal Popat·Harshil Mital·Kritarth Prasad·Rajiv Ratn Shah·Roger Zimmermann

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Abstract

This paper presents GPSM4K, a comprehensive geometry multimodal dataset tailored to augment the problem-solving capabilities of Large Vision Language Models (LVLMs). GPSM4K encompasses 2157 multimodal question-answer pairs manually extracted from mathematics textbooks spanning grades 7-12 and is further augmented to 5340 problems, consisting of both numerical and theorem-proving questions. In contrast to PGPS9k, Geometry3K, and Geo170K which feature only objective-type questions, GPSM4K offers detailed step-by-step solutions in a consistent format, facilitating a comprehensive evaluation of problem-solving approaches. This dataset serves as an excellent benchmark for assessing the geometric reasoning capabilities of LVLMs. Evaluation of our test set shows that there is scope for improvement needed in open-source language models in geometry problem-solving. Finetuning on our training set increases the geometry problem-solving capabilities of models. Further, We also evaluate the effectiveness of techniques such as image captioning and Retrieval Augmentation generation (RAG) on model performance. We leveraged LLM to automate the task of final answer evaluation by providing ground truth and predicted solutions. This research will help to assess and improve the geometric reasoning capabilities of LVLMs.

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Avinash Anand, Raj Jaiswal, Abhishek Dharmadhikari, Atharva Marathe, Harsh Parimal Popat, Harshil Mital, Kritarth Prasad, Rajiv Ratn Shah, Roger Zimmermann. 2024-12-01. Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring. https://arxiv.org/abs/2412.00846

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