@article{atheoreticalframeworkforprompt, title = {A Theoretical Framework for Prompt Engineering: Approximating Smooth Functions with Transformer Prompts}, author = {Ryumei Nakada and Wenlong Ji and Tianxi Cai and James Zou and Linjun Zhang}, year = {2025}, eprint = {2503.20561}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2503.20561v1}, }