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arXiv:cs.AI· Shayan Mohajer Hamidi, Kayhan Behdin, Wenhui Zhu, Aida Rahmattalabi, Jincheng Cao, Jelena Markovic-Voronov, Alborz Geramifard·· 17 小时前

TETPO:面向异步强化学习的目标 ESS 温度化策略优化

Target-ESS Tempered Policy Optimization (TETPO): Smooth Variance Control via Bridge Importance Sampling

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TETPO 通过将重要性权重 ρ 替换为 ρ^α 来稳定大语言模型异步强化学习后训练,α 由每个 prompt group 依据目标 ESS 比例 κ 自适应选取,用一维二分法求解。该方法对样本健康的组几乎不做温度化,在权重退化严重时加强温度化,且不引入显式零权重掩码。在高陈旧度的数学推理基准上,TETPO 优于强 on-policy 与 off-policy 基线。

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Abstract:Asynchronous reinforcement-learning post-training of large language models is computationally efficient but inherently off-policy: the learner updates on rollouts generated by a stale policy, while correcting this mismatch requires importance weights that can be extremely heavy-tailed. A small number of trajectories may then dominate an update, collapsing the effective sample size (ESS) and increasing the variance and instability of the resulting gradient estimates. Existing stabilizers apply fixed interventions regardless of the realized severity of weight concentration, either discarding selected samples or reweighting them without adapting the correction strength. We introduce \emph{Target--ESS Tempered Policy Optimization} (TETPO), which replaces each importance weight $\rho$ by $\rho^\alpha$ for a data-adaptive exponent $\alpha\in[0,1]$: $\alpha=1$ preserves the original importance weights, whereas $\alpha=0$ assigns uniform coefficients. For each prompt group, TETPO selects the largest $\alpha$ whose tempered weights satisfy a target ESS fraction $\kappa$, applying little tempering to healthy groups and stronger tempering when weight degeneracy is severe. At the population level, the tempered coefficients are exact importance weights for a geometric bridge between the sampler and learner policies. The exponent is efficiently found by one-dimensional bisection, while the resulting weights satisfy deterministic bounds on normalized-weight dispersion and weighted-gradient norm that are independent of policy drift, together with a fixed-$\alpha$ bound on bridge-target discrepancy. Power tempering also introduces no explicit zero-weight mask. On mathematical-reasoning benchmarks under high staleness, TETPO outperforms strong on- and off-policy baselines.
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2610.14440 [cs.LG]
  (or arXiv:2610.14440v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2610.14440

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Shayan Mohajer Hamidi [view email]
[v1] Sat, 10 Oct 2026 01:15:04 UTC (447 KB)

来源:arXiv:cs.AI · arxiv.org