Post-Completion Learning for Language Models
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Abstract (arXiv)
Current language model training paradigms typically terminate learning upon reaching the end-of-sequence (<eos>) token, overlooking the potential learning opportunities in the post-completion space. We propose Post-Completion Learning (PCL), a novel training framework that systematically utilizes the sequence space after model output completion, to enhance both the reasoning and self-evaluation abilities. PCL enables models to continue generating self-assessments and reward predictions during training, while maintaining efficient inference by stopping at the completion point. To fully utilize this post-completion space, we design a white-box reinforcement learning method: let the model evaluate the output content according to the reward rules, then calculate and align the score with the reward functions for supervision. We implement dual-track SFT to optimize both reasoning and evaluation capabilities, and mixed it with RL training to achieve multi-objective hybrid optimization. Experimental results on different datasets and models demonstrate consistent improvements over traditional SFT and RL methods. Our method provides a new technical path for language model training that enhances output quality while preserving deployment efficiency.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Builds on 24 of its 33 references that are in the map. First posted on arXiv 27 Jul 2025.
Builds on
24 of 33 references.
References · 24
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
- 2020Language Models are Few-Shot Learnerscited by 32,419
- 2022Training language models to follow instructions with human feedbackcited by 15,971
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2024The Llama 3 Herd of Modelscited by 14,715
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2025Qwen3 Technical Reportcited by 8,820
- 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 8,065
- 2017Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networkscited by 4,897
- 2017Deep reinforcement learning from human preferencescited by 3,912
- 2023Let's Verify Step by Stepcited by 3,789
12 more
- 2021Finetuned Language Models Are Zero-Shot Learnerscited by 3,780
- 2023Self-Refine: Iterative Refinement with Self-Feedbackcited by 3,442
- 2017Prototypical Networks for Few-shot Learningcited by 3,015
- 2016Matching Networks for One Shot Learningcited by 2,255
- 2022Solving math word problems with process- and outcome-based feedbackcited by 901
- 2021Did Aristotle Use a Laptop? A Question Answering Benchmark with Implicit Reasoning Strategiescited by 743
- 2025The Lessons of Developing Process Reward Models in Mathematical Reasoningcited by 415
- 2024When Can LLMs Actually Correct Their Own Mistakes? A Critical Survey of Self-Correction of LLMscited by 240
- 2025Spurious Rewards: Rethinking Training Signals in RLVRcited by 209
- 2024Self-Improvement in Language Models: The Sharpening Mechanismcited by 104
- 2025SRFT: A Single-Stage Method with Supervised and Reinforcement Fine-Tuning for Reasoningcited by 84
- 2024Q-SFT: Q-Learning for Language Models via Supervised Fine-Tuningcited by 10
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Citing papers per year: 2025: 1; 2026: 2.
3 papers.
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- 2025Towards a Unified View of Large Language Model Post-Training
- 2026Demystifying Reinforcement Learning Post-Training of Language Models
- 2026ReMiT: RL-Guided Mid-Training for Iterative LLM Evolution
- 2026Supervised Fine-Tuning versus Reinforcement Learning: A Study of Post-Training Methods for Large Language Models
- 2025Quagmires in SFT-RL Post-Training: When High SFT Scores Mislead and What to Use Instead
- 2025On the Interplay of Pre-Training, Mid-Training, and RL on Reasoning Language Models
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learning
- 2026Learning Dynamics in RL Post-Training for Language Models