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Echo Chamber: RL Post-training Amplifies Behaviors Learned in Pretraining

Paper · 2025 · Rosie Zhao, Alexandru Meterez, Sham Kakade et al.

Summary

The paper asks why reinforcement-learning fine-tuning improves mathematical reasoning in language models. Pretraining data for popular base models such as Qwen is usually undisclosed, which makes it hard to separate the effect of RL from the effect of pretraining. To get around this, the authors train decoder-only models of 150M and 1B parameters from scratch with the OLMo codebase. Their pretraining mixtures combine math documents (FineMath-3+ and the Algebraic-Stack part of Proof-Pile-2) with instruction datasets in varying proportions: TinyGSM, OpenMathInstruct1 and OpenMathInstruct2. Each instruction set has a recognizable output format, so its influence can be traced in model generations. The models are then post-trained on GSM8K questions using PPO, GRPO and Expert Iteration with a binary correctness reward. Across settings, RL quickly pushes the model to produce answers in the style of just one pretraining source and largely suppresses the others. This raises pass@1 accuracy but reduces output diversity. The work shows that small, fully transparent setups can reveal how RL builds on behaviors already present in the pretrained model.

Key points

  • RL implementations come from OpenRLHF. The reward is 1 for a correct final answer and 0 otherwise. Expert Iteration samples 64 generations per GSM8K training problem and keeps the de-duplicated correct ones for supervised fine-tuning.
  • The format that wins out usually corresponds to the source on which the base model was already most accurate, though there are some failures. In one 150M PPO run, the model shifted to TinyGSM-style code answers within the first epoch. Majority@64 rose by about 5%, while pass@64 dropped late in training.
  • The favored format depends on scale. 150M models lean toward simpler code-like outputs, while 1B models move toward natural-language solutions. The strength of the amplification is governed by the KL penalty coefficient.
  • Fine-tuning only on GSM8K improved 1B models on MATH-500 by up to roughly 10 points of pass@1. The biggest gains appeared in mixtures that included OpenMathInstruct data. On AIME 2022–2024, pass@1 and majority@64 barely changed, but pass@64 improved.
  • Code is released at github.com/rosieyzh/openrlhf-pretrain, together with the pretrained base models and RL checkpoints for two 1B mixtures.

Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.

 Institutions

 Fields, topics and concepts

Cite

Cite as Rosie Zhao, Alexandru Meterez, Sham Kakade, Cengiz Pehlevan, Samy Jelassi and Eran Malach. 2025. Echo Chamber: RL Post-training Amplifies Behaviors Learned in Pretraining. arXiv:2504.07912.

The paper itself, not this page. BibTeX from the library's record of the work. DOI 10.48550/arxiv.2504.07912 · arXiv 2504.07912

@misc{zhao2025echo,
  title = {{Echo Chamber: RL Post-training Amplifies Behaviors Learned in Pretraining}},
  author = {Rosie Zhao, Alexandru Meterez, Sham Kakade, Cengiz Pehlevan, Samy Jelassi and Eran Malach},
  year = {2025},
  doi = {10.48550/arxiv.2504.07912},
  eprint = {2504.07912},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.48550/arxiv.2504.07912}
}

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