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LoGRA addresses the critical memory bottleneck in reinforcement learning for large language models by utilizing low-rank gradient sketches to compress training signals. This technique reduces average memory usage by nearly 46% while enabling stable training of massive models on limited hardware, making RL post-training more accessible. The method also incorporates predicted-KL step control to manage update magnitudes and prevent learning disruption.
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LoGRA: Scaling LLM Reinforcement Learning with Low-Rank Gradient Sketches

arXiv2 min read

arXiv:2610.06647v1 Announce Type: new Abstract: Reinforcement learning (RL) has greatly advanced the capabilities of large language models (LLMs), but its memory demands remain a barrier to broader adoption. We introduce LoGRA, an approach to RL post-training that reduces memory by retaining useful learning signals in low-rank gradient sketches. These compact representations support both model updates and efficient policy synchronization. To prevent overly large updates from disrupting learning, we complement gradient compression with predicted-KL step control, which estimates policy changes before applying each update and adjusts its magnitude accordingly. Across reasoning tasks, LoGRA reduces average training memory by up to 45.7\% without sacrificing performance. It also enables stable training of a 27B-parameter model for over 1,100 steps on a single eight-GPU node, where dense Adam runs out of memory, making previously memory-infeasible RL training practical. Code is available in the \href{https://github.com/skzhang1/labs-molt/tree/logra/examples/scripts/logra}{Molt library}.

Abstract:Reinforcement learning (RL) has greatly advanced the capabilities of large language models (LLMs), but its memory demands remain a barrier to broader adoption. We introduce LoGRA, an approach to RL post-training that reduces memory by retaining useful learning signals in low-rank gradient sketches. These compact representations support both model updates and efficient policy synchronization. To prevent overly large updates from disrupting learning, we complement gradient compression with predicted-KL step control, which estimates policy changes before applying each update and adjusts its magnitude accordingly. Across reasoning tasks, LoGRA reduces average training memory by up to 45.7\% without sacrificing performance. It also enables stable training of a 27B-parameter model for over 1,100 steps on a single eight-GPU node, where dense Adam runs out of memory, making previously memory-infeasible RL training practical. Code is available in the \href{this https URL}{Molt library}.

Computation and Language (cs.CL)

arXiv:2610.06647 [cs.CL]

(or arXiv:2610.06647v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2610.06647 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 233 words

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