🤖 AI Summary
This study addresses the challenges of indeterminate skill bottleneck resolution order and inefficient data mixing in large language model training. We propose a staged training framework integrating small proxy model exploration with a LogFloor closed-loop controller. This approach transforms bottleneck resolution trajectories into transferable curriculum learning structures, employing a "small-model reconnaissance and path transfer" mechanism to guide large models through sequential bottleneck breakthroughs. Experiments on Qwen2.5 demonstrate that this strategy reduces training tokens by an average of 56.2% and achieves approximately 39% computational savings through cross-scale transfer. These results indicate significant improvements in data efficiency for skill acquisition in large language models, offering a scalable solution to optimize training dynamics and resource utilization.
📝 Abstract
Small proxy models are commonly used to identify data mixtures for larger-scale training. We ask whether their training trajectories reveal another transferable structure: the order in which larger models should resolve skill bottlenecks. We formulate first-passage skill training, where each monitored skill has a target floor and the objective is to minimize the tokens required to reach all floors. We introduce LogFloor, a closed-loop controller that directs each round toward current bottlenecks, producing phase-ordered resolution trajectories. Across five bAbI skill slices on Qwen2.5-1.5B, LogFloor reduces token cost by 56.2% on average. In 70M-to-12B transfer, three-round replay of a 70M scout path reaches every floor in all eight target runs, saving 30.9% by pair mean, 39.4% in pooled training tokens, and 37.6% under source-cost accounting. On MMLU-control, a frozen scout path succeeds across all eight 12B runs. Collapsing a path to its static marginal mixture or reversing its phase order removes most benefits, while bottleneck labels alone remain partially useful. These results identify phase-ordered bottleneck resolution as a transferable curriculum structure for monitored skill-targeted training.