Prompt Engineering Through the Lens of Optimal Control

Year:    2023

Author:    Yifan Luo, Yiming Tang, Chengfeng Shen, Zhenan Zhou, Bin Dong

Journal of Machine Learning, Vol. 2 (2023), Iss. 4 : pp. 241–258

Abstract

Prompt engineering (PE) has emerged as a critical technique for guiding large language models (LLMs) in solving intricate tasks. Its importance is highlighted by its potential to significantly enhance the efficiency and effectiveness of human-machine interaction. As tasks grow increasingly complex, recent advanced PE methods have extended beyond the limitations of single-round interactions to embrace multi-round interactions, which allows for a deeper and more nuanced engagement with LLMs. In this paper, we propose an optimal control framework tailored for multi-round interactions with LLMs. This framework provides a unified mathematical structure that not only systematizes the existing PE methods but also sets the stage for rigorous analytical improvements. Furthermore, we extend this framework to include PE via ensemble methods and multi-agent collaboration, thereby enlarging the scope of applicability. By adopting an optimal control perspective, we offer fresh insights into existing PE methods and highlight theoretical challenges that warrant future research. Besides, our work lays a foundation for the development of more effective and interpretable PE methods.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jml.231023

Journal of Machine Learning, Vol. 2 (2023), Iss. 4 : pp. 241–258

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Large language models Prompt engineering Optimal control.

Author Details

Yifan Luo

Yiming Tang

Chengfeng Shen

Zhenan Zhou

Bin Dong