Learning to Reason at the Frontier of Learnability

Fuente: arXiv
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Auteurs principaux: Foster, Thomas, Sims, Anya, Forkel, Johannes, Fellows, Mattie, Foerster, Jakob
Format: Preprint
Publié: 2025
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author Foster, Thomas
Sims, Anya
Forkel, Johannes
Fellows, Mattie
Foerster, Jakob
author_facet Foster, Thomas
Sims, Anya
Forkel, Johannes
Fellows, Mattie
Foerster, Jakob
contents Reinforcement learning is now widely adopted as the final stage of large language model training, especially for reasoning-style tasks such as maths problems. Typically, models attempt each question many times during a single training step and attempt to learn from their successes and failures. However, we demonstrate that throughout training with two popular algorithms (PPO and VinePPO) on two widely used datasets, many questions are either solved by all attempts - meaning they are already learned - or by none - providing no meaningful training signal. To address this, we adapt a method from the reinforcement learning literature - sampling for learnability - and apply it to the reinforcement learning stage of LLM training. Our curriculum prioritises questions with high variance of success, i.e. those where the agent sometimes succeeds, but not always. Our findings demonstrate that this curriculum consistently boosts training performance across multiple algorithms and datasets, paving the way for more efficient and effective reinforcement learning with LLMs.
format Preprint
id arxiv_https___arxiv_org_abs_2502_12272
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning to Reason at the Frontier of Learnability
Foster, Thomas
Sims, Anya
Forkel, Johannes
Fellows, Mattie
Foerster, Jakob
Machine Learning
Artificial Intelligence
Computation and Language
Reinforcement learning is now widely adopted as the final stage of large language model training, especially for reasoning-style tasks such as maths problems. Typically, models attempt each question many times during a single training step and attempt to learn from their successes and failures. However, we demonstrate that throughout training with two popular algorithms (PPO and VinePPO) on two widely used datasets, many questions are either solved by all attempts - meaning they are already learned - or by none - providing no meaningful training signal. To address this, we adapt a method from the reinforcement learning literature - sampling for learnability - and apply it to the reinforcement learning stage of LLM training. Our curriculum prioritises questions with high variance of success, i.e. those where the agent sometimes succeeds, but not always. Our findings demonstrate that this curriculum consistently boosts training performance across multiple algorithms and datasets, paving the way for more efficient and effective reinforcement learning with LLMs.
title Learning to Reason at the Frontier of Learnability
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2502.12272