Addressing Performance Saturation for LLM RL via Precise Entropy Curve Control

Fuente: arXiv
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Hauptverfasser: Li, Bolian, Wang, Yifan, Ding, Yi, Lochab, Anamika, Grama, Ananth, Zhang, Ruqi
Format: Preprint
Veröffentlicht: 2026
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author Li, Bolian
Wang, Yifan
Ding, Yi
Lochab, Anamika
Grama, Ananth
Zhang, Ruqi
author_facet Li, Bolian
Wang, Yifan
Ding, Yi
Lochab, Anamika
Grama, Ananth
Zhang, Ruqi
contents Reinforcement learning (RL) has enabled complex reasoning abilities in large language models (LLMs). However, most RL algorithms suffer from performance saturation, preventing continued gains as RL training scales. This problem can be characterized by the collapse of entropy, a key diagnostic for exploration in RL. Existing attempts focus on preventing entropy collapse through regularization or clipping. However, their resulting entropy curves often exhibit instability in the long term, which hinders performance gains. In this paper, we introduce Entrocraft, a simple rejection-sampling approach that realizes user-customized entropy schedule by biasing the advantage distributions. Entrocraft requires no objective regularization and is advantage-estimator-agnostic. Theoretically, we relate per-step entropy change to the advantage distribution under minimal assumptions. This explains the behavior of existing RL and entropy-preserving methods. Entrocraft also enables a systematic study of entropy schedules, which reveals that linear annealing, which starts high and decays to a slightly lower target, performs best. Empirically, Entrocraft addresses performance saturation, significantly improving generalization, output diversity, and long-term training. It enables a 4B model to outperform an 8B baseline, sustains improvement for up to 4x longer before plateauing, and raises pass@K by 50% over the baseline.
format Preprint
id arxiv_https___arxiv_org_abs_2604_26326
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Addressing Performance Saturation for LLM RL via Precise Entropy Curve Control
Li, Bolian
Wang, Yifan
Ding, Yi
Lochab, Anamika
Grama, Ananth
Zhang, Ruqi
Machine Learning
Computation and Language
Reinforcement learning (RL) has enabled complex reasoning abilities in large language models (LLMs). However, most RL algorithms suffer from performance saturation, preventing continued gains as RL training scales. This problem can be characterized by the collapse of entropy, a key diagnostic for exploration in RL. Existing attempts focus on preventing entropy collapse through regularization or clipping. However, their resulting entropy curves often exhibit instability in the long term, which hinders performance gains. In this paper, we introduce Entrocraft, a simple rejection-sampling approach that realizes user-customized entropy schedule by biasing the advantage distributions. Entrocraft requires no objective regularization and is advantage-estimator-agnostic. Theoretically, we relate per-step entropy change to the advantage distribution under minimal assumptions. This explains the behavior of existing RL and entropy-preserving methods. Entrocraft also enables a systematic study of entropy schedules, which reveals that linear annealing, which starts high and decays to a slightly lower target, performs best. Empirically, Entrocraft addresses performance saturation, significantly improving generalization, output diversity, and long-term training. It enables a 4B model to outperform an 8B baseline, sustains improvement for up to 4x longer before plateauing, and raises pass@K by 50% over the baseline.
title Addressing Performance Saturation for LLM RL via Precise Entropy Curve Control
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2604.26326