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Summary of Rl on Incorrect Synthetic Data Scales the Efficiency Of Llm Math Reasoning by Eight-fold, By Amrith Setlur et al.


RL on Incorrect Synthetic Data Scales the Efficiency of LLM Math Reasoning by Eight-Fold

by Amrith Setlur, Saurabh Garg, Xinyang Geng, Naman Garg, Virginia Smith, Aviral Kumar

First submitted to arxiv on: 20 Jun 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Computation and Language (cs.CL)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
Training large language models (LLMs) by fine-tuning them on synthetic data generated by capable models is a promising approach, but its effectiveness remains unclear. This paper investigates the question for math reasoning through an empirical study and conceptual understanding. The typical approach of finetuning on synthetic correct or positive problem-solution pairs offers modest performance gains, but sampling more correct solutions from the fine-tuned learner itself followed by subsequent fine-tuning doubles efficiency. Training on model-generated positives can amplify spurious correlations, resulting in flat or inverse scaling trends. Using negative responses (model-generated incorrect responses) and constructing them such that training can recover utility can help unlearn spurious correlations and achieve consistent gains over positive data. This approach is equivalent to advantage-weighted reinforcement learning, inheriting robustness benefits.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper explores how fine-tuning large language models on synthetic data affects their performance for math reasoning. Researchers typically use synthetic correct or positive problem-solution pairs to improve model accuracy. However, they found that this approach only gives a small boost in performance. Instead, they tried generating more correct solutions from the fine-tuned model itself and re-training it. This method doubled the efficiency of using synthetic data. They also discovered that training on positive responses can create spurious correlations, which can be fixed by using negative responses (incorrect answers). By doing so, they achieved consistent gains in performance.

Keywords

» Artificial intelligence  » Fine tuning  » Reinforcement learning  » Synthetic data