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Main Authors: Kotecha, Madhav, Vaishya, Vijendra Kumar, Gautam, Smita, Racha, Suraj
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.01523
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author Kotecha, Madhav
Vaishya, Vijendra Kumar
Gautam, Smita
Racha, Suraj
author_facet Kotecha, Madhav
Vaishya, Vijendra Kumar
Gautam, Smita
Racha, Suraj
contents We propose a refined approach to efficiently fine-tune large language models (LLMs) on specific domains like the mathematical domain by employing a budgeted subset selection method. Our approach combines utility and diversity metrics to select the most informative and representative training examples. The final goal is to achieve near-full dataset performance with meticulously selected data points from the entire dataset while significantly reducing computational cost and training time and achieving competitive performance as the full dataset. The utility metric incorporates both perplexity and Chain-of-Thought (CoT) loss to identify challenging examples that contribute most to model learning, while the diversity metric ensures broad coverage across mathematical subdomains. We evaluate our method on LLaMA-3 8B and Phi-3 models, comparing against several baseline approaches, including random selection, diversity-based sampling, and existing state-of-the-art subset selection techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01523
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Subset Selection for Fine-Tuning: A Utility-Diversity Balanced Approach for Mathematical Domain Adaptation
Kotecha, Madhav
Vaishya, Vijendra Kumar
Gautam, Smita
Racha, Suraj
Machine Learning
Artificial Intelligence
68T05
We propose a refined approach to efficiently fine-tune large language models (LLMs) on specific domains like the mathematical domain by employing a budgeted subset selection method. Our approach combines utility and diversity metrics to select the most informative and representative training examples. The final goal is to achieve near-full dataset performance with meticulously selected data points from the entire dataset while significantly reducing computational cost and training time and achieving competitive performance as the full dataset. The utility metric incorporates both perplexity and Chain-of-Thought (CoT) loss to identify challenging examples that contribute most to model learning, while the diversity metric ensures broad coverage across mathematical subdomains. We evaluate our method on LLaMA-3 8B and Phi-3 models, comparing against several baseline approaches, including random selection, diversity-based sampling, and existing state-of-the-art subset selection techniques.
title Subset Selection for Fine-Tuning: A Utility-Diversity Balanced Approach for Mathematical Domain Adaptation
topic Machine Learning
Artificial Intelligence
68T05
url https://arxiv.org/abs/2505.01523