@article{fouriercircuitsinneuralnetworksunlocking, title = {Fourier Circuits in Neural Networks and Transformers: A Case Study of Modular Arithmetic with Multiple Inputs}, author = {Chenyang Li and YIngyu Liang and Zhenmei Shi and Zhao Song and Tianyi Zhou}, year = {2024}, eprint = {2402.09469}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2402.09469v3}, }