Triviality Corrected Endogenous Reward
Paper · 2026 · Xinda Wang, Zhengxu Hou, Yangshijie Zhang et al.
Summary
Reinforcement fine-tuning for open-ended writing lacks verifiable rewards. It usually depends on costly proprietary LLM judges or on judge models trained with annotated preference data. The authors ask whether confidence-based endogenous rewards, which work for unsupervised RL in math, can serve writing instead. They find that rewarding a fine-tuned model's own log-probabilities does beat SFT, but it also causes what they call Triviality Bias. The policy drifts toward safe, high-probability, low-entropy text and loses diversity and substance.
Their fix, TCER, keeps the confidence term and adds a correction. This term measures how much more likely a token is under the in-domain specialist (the SFT model) than under its generalist base model. A weight then shrinks this correction for tokens the specialist already finds highly probable. Training uses GRPO augmented with ground-truth reference samples. TCER improves results across several writing benchmarks and model architectures and also transfers to mathematical reasoning, all without external supervision. This makes judge-free RL a practical option for generation tasks.
Key points
- The reward is log π_s + k·(1 − π_s)^λ·log(π_s/π_b). Here π_s is the SFT specialist, π_b is the same model before fine-tuning, and ε-smoothing is applied for numerical stability.
- Optimization uses Reference Augmented GRPO, which adds high-quality reference outputs to each rollout group.
- In a sentence-level analysis, Gemini 2.5 Pro, Claude-Opus4 and GPT-4o judged which sentences were of exceptional quality. TCER gave these sentences higher rewards than EndoR and scored ordinary sentences about the same.
- Ablations used Qwen2.5-7B-Instruct with DeepWriting data. Dropping the confidence term caused the largest collapse (e.g., 86.3 → 76.2 on the first benchmark). Removing the gating weight, the full correction, or reference augmentation also lowered scores.
- The authors list three limitations: an inherent ceiling for self-rewarding methods, reliance on LLM-judge benchmarks for evaluation, and limited interpretability at the token level.
Fields, topics and concepts
📚 Shelves 4The field of science this work belongs to (OpenAlex fields).Computer Science · 16,667 worksArtificial Intelligence · 16,194 worksArts and Humanities · 16,039 worksLanguage and Linguistics · 15,891 works
Cite
Cite as Xinda Wang, Zhengxu Hou, Yangshijie Zhang, Yanbingren, Jialin Liu, ChenZhuo Zhao, Zhibo Yang, Bin-Bin Yang and Feng Xiao. 2026. Triviality Corrected Endogenous Reward. Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers).
@inproceedings{wang2026triviality,
title = {{Triviality Corrected Endogenous Reward}},
author = {Xinda Wang, Zhengxu Hou, Yangshijie Zhang, Yanbingren, Jialin Liu, ChenZhuo Zhao, Zhibo Yang, Bin-Bin Yang and Feng Xiao},
booktitle = {Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)},
year = {2026},
doi = {10.18653/v1/2026.acl-long.883},
url = {https://doi.org/10.18653/v1/2026.acl-long.883}
}References
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