Scalpel vs. Hammer: GRPO Amplifies Existing Capabilities, SFT Replaces Them

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Main Authors: Rajani, Neel, Gema, Aryo Pradipta, Goldfarb-Tarrant, Seraphina, Titov, Ivan
Format: Preprint
Published: 2025
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author Rajani, Neel
Gema, Aryo Pradipta
Goldfarb-Tarrant, Seraphina
Titov, Ivan
author_facet Rajani, Neel
Gema, Aryo Pradipta
Goldfarb-Tarrant, Seraphina
Titov, Ivan
contents Training large language models (LLMs) for reasoning via maths and code datasets has become a major new focus in LLM post-training. Two particularly popular approaches are reinforcement learning (RL) and supervised fine-tuning (SFT), but their training dynamics are poorly understood. We present a comparative analysis of RL and SFT on the same maths problems with the same model and similar hyperparameters. We find that RL yields minor in-domain gains on maths and slight degradation on knowledge-intensive benchmarks like MMLU, while both trends are more pronounced in SFT. We also analyse model parameters across checkpoints, observing that both algorithms modify query and key weights the most. Meanwhile, SFT exhibits greater updates and also affects mid-layer MLPs more, leading us to hypothesise that this may have caused the out-of-domain degradation. We therefore investigate whether freezing parts of the model during training can mitigate the reduced performance on knowledge-intensive benchmarks. However, our results are inconclusive, with benefits on GPQA:Diamond and degradation on other benchmarks. Taken together, our observations provide a preliminary indication for why RL amplifies existing capabilities, while SFT replaces old skills with new ones.
format Preprint
id arxiv_https___arxiv_org_abs_2507_10616
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scalpel vs. Hammer: GRPO Amplifies Existing Capabilities, SFT Replaces Them
Rajani, Neel
Gema, Aryo Pradipta
Goldfarb-Tarrant, Seraphina
Titov, Ivan
Machine Learning
Artificial Intelligence
Computation and Language
Training large language models (LLMs) for reasoning via maths and code datasets has become a major new focus in LLM post-training. Two particularly popular approaches are reinforcement learning (RL) and supervised fine-tuning (SFT), but their training dynamics are poorly understood. We present a comparative analysis of RL and SFT on the same maths problems with the same model and similar hyperparameters. We find that RL yields minor in-domain gains on maths and slight degradation on knowledge-intensive benchmarks like MMLU, while both trends are more pronounced in SFT. We also analyse model parameters across checkpoints, observing that both algorithms modify query and key weights the most. Meanwhile, SFT exhibits greater updates and also affects mid-layer MLPs more, leading us to hypothesise that this may have caused the out-of-domain degradation. We therefore investigate whether freezing parts of the model during training can mitigate the reduced performance on knowledge-intensive benchmarks. However, our results are inconclusive, with benefits on GPQA:Diamond and degradation on other benchmarks. Taken together, our observations provide a preliminary indication for why RL amplifies existing capabilities, while SFT replaces old skills with new ones.
title Scalpel vs. Hammer: GRPO Amplifies Existing Capabilities, SFT Replaces Them
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2507.10616