LGAICLSep 4, 2025

Towards a Unified View of Large Language Model Post-Training

Tsinghua
arXiv:2509.04419v131 citationsh-index: 35
Originality Incremental advance
AI Analysis

This work provides a theoretical framework for unifying post-training methods in AI, which is incremental but addresses a key bottleneck in language model optimization.

The paper tackles the problem of unifying different post-training approaches for large language models by showing that Reinforcement Learning and Supervised Fine-Tuning are instances of a single optimization process, and proposes Hybrid Post-Training (HPT) which outperforms baselines across six mathematical reasoning benchmarks and two out-of-distribution suites.

Two major sources of training data exist for post-training modern language models: online (model-generated rollouts) data, and offline (human or other-model demonstrations) data. These two types of data are typically used by approaches like Reinforcement Learning (RL) and Supervised Fine-Tuning (SFT), respectively. In this paper, we show that these approaches are not in contradiction, but are instances of a single optimization process. We derive a Unified Policy Gradient Estimator, and present the calculations of a wide spectrum of post-training approaches as the gradient of a common objective under different data distribution assumptions and various bias-variance tradeoffs. The gradient estimator is constructed with four interchangeable parts: stabilization mask, reference policy denominator, advantage estimate, and likelihood gradient. Motivated by our theoretical findings, we propose Hybrid Post-Training (HPT), an algorithm that dynamically selects different training signals. HPT is designed to yield both effective exploitation of demonstration and stable exploration without sacrificing learned reasoning patterns. We provide extensive experiments and ablation studies to verify the effectiveness of our unified theoretical framework and HPT. Across six mathematical reasoning benchmarks and two out-of-distribution suites, HPT consistently surpasses strong baselines across models of varying scales and families.

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