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Main Authors: Pikus, Benjamin, Tiwari, Pratyush Ranjan, Ye, Burton
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.14094
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author Pikus, Benjamin
Tiwari, Pratyush Ranjan
Ye, Burton
author_facet Pikus, Benjamin
Tiwari, Pratyush Ranjan
Ye, Burton
contents Collecting high-quality training examples for language model fine-tuning is expensive, with practical budgets limiting the amount of data that can be procured. We investigate whether example difficulty affects GRPO training effectiveness by comparing selection strategies (easy, medium, hard, random) across multiple models and reasoning tasks. Training on the hardest 10\% of examples (those where the base model fails most often) yields dramatic performance gains up to 47\%, while easy examples produce minimal improvements of 3-15\%. This occurs because GRPO requires outcome variance to generate learning signals; hard examples maintain mixed success/failure outcomes throughout training while easy examples quickly converge to consistent success, eliminating learning opportunities. Moreover, models trained on hard examples show superior out-of-distribution generalization, with only hard-trained models achieving meaningful gains on the AIME2025 benchmark. Our findings provide clear guidance: when budget-constrained, prioritize collecting and annotating examples where your base model struggles, as these drive nearly all learning value in GRPO fine-tuning
format Preprint
id arxiv_https___arxiv_org_abs_2508_14094
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hard Examples Are All You Need: Maximizing GRPO Post-Training Under Annotation Budgets
Pikus, Benjamin
Tiwari, Pratyush Ranjan
Ye, Burton
Machine Learning
Artificial Intelligence
Collecting high-quality training examples for language model fine-tuning is expensive, with practical budgets limiting the amount of data that can be procured. We investigate whether example difficulty affects GRPO training effectiveness by comparing selection strategies (easy, medium, hard, random) across multiple models and reasoning tasks. Training on the hardest 10\% of examples (those where the base model fails most often) yields dramatic performance gains up to 47\%, while easy examples produce minimal improvements of 3-15\%. This occurs because GRPO requires outcome variance to generate learning signals; hard examples maintain mixed success/failure outcomes throughout training while easy examples quickly converge to consistent success, eliminating learning opportunities. Moreover, models trained on hard examples show superior out-of-distribution generalization, with only hard-trained models achieving meaningful gains on the AIME2025 benchmark. Our findings provide clear guidance: when budget-constrained, prioritize collecting and annotating examples where your base model struggles, as these drive nearly all learning value in GRPO fine-tuning
title Hard Examples Are All You Need: Maximizing GRPO Post-Training Under Annotation Budgets
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2508.14094