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Theoretical Modeling of LLM Self-Improvement Training Dynamics Through Solver-Verifier Gap

Created by
  • Haebom

Author

Yifan Sun, Yushan Liang, Zhen Zhang, Jiaye Teng

A Study on LLM Performance Changes in Self-Improvement Courses

Outline

This paper studies the self-improvement process, a technique for improving the performance of LLM without relying on external data. Specifically, we theoretically model the self-improvement training dynamics through the gap between the solver and verifier capabilities of LLM. This model allows us to model the entire training trajectory and quantify performance limitations based on experimental results. We validate the effectiveness of the theoretical framework on various LLMs and datasets, and analyze the impact of external data on final performance in a limited external data environment.

Takeaways, Limitations

Takeaways:
We present a new theoretical framework for understanding the self-improvement process of LLM.
We explain the dynamics of self-improvement through the gap between solver and verifier.
The theoretical model can be applied to experimental results to identify the performance limits of self-improvement.
Provides insights into methodologies that leverage limited external data.
Limitations:
Further research is needed to investigate the applicability of the theoretical model to real LLMs and datasets.
Further research is needed on the impact of different types and amounts of external data.
Additional explanation may be needed on how the solver-verifier gap relates to how real LLMs work.
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