Original title: Headroom-Drift Replay: A Primitive for Principled Replay Control in GRPO
Hyun Bin Park, Du-Seong Chang · September 2026
Training reasoning AI models with reinforcement learning takes a huge amount of time. The biggest bottleneck is constantly generating new practice runs, especially when the model must interact with outside environments. Reusing past attempts saves time, but older methods mix reuse into messy, complicated systems. To fix this, researchers created HeadroomHow much more an old training attempt can still teach the AI.-DriftHow much the AI's knowledge has changed since that attempt, affecting its usefulness. ReplayReusing data from previous training attempts instead of generating new data.. It keeps the fresh training stream unchanged and adds no extra machinery. Instead, it carefully picks old attempts using two simple checks. Headroom ranks past groups of tries by how much the model can still learn from them. Drift checks if those older tries still match the model's current behavior. This simple method beat basic replay and matched or beat broader replay systems, while sharply cutting training time in agent searches.
You're sorting through old clothes to pack for a trip, but some are stained or wrong for the season. Picking blindly leads to wasted effort and a poorly packed bag. In this paper, training AI is like packing, and the method selects past training data that still has value and matches the current goal, cutting down on unnecessary work.
Training AI models for reasoning and agentic tasks is slow and expensive because it constantly requires generating new data. This method cuts that time down, saving resources and speeding up progress in areas where AI needs to interact with environments.
The method is evaluated only on mathematical reasoning, multimodal reasoning, and agentic search benchmarks, so its effectiveness on other tasks is unknown. It focuses solely on replay selection, not on addressing other bottlenecks in RL training.
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Headroom-Drift Replay: A Primitive for Principled Replay Control in GRPO — Hyun Bin Park, Du-Seong Chang
Abstract licence: CC0
Explanation generated by Synthesis from the abstract — it is not the original paper. This is a preprint, so it hasn't necessarily been peer reviewed.