In the fields of computational mathematics and artificial intelligence, the need for precise data modeling is crucial, especially for predictive machine learning tasks. This paper explores further XNet, a novel algorithm that employs the complex-valued Cauchy integral formula, offering a superior network architecture that surpasses traditional Multi-Layer Perceptrons (MLPs) and Kolmogorov-Arnold Networks (KANs). XNet significant improves speed and accuracy across various tasks in both low and high-dimensional spaces, redefining the scope of data-driven model development and providing substantial improvements over established time series models like LSTMs.
@article{arxiv.2410.02033,
title = {Model Comparisons: XNet Outperforms KAN},
author = {Xin Li and Zhihong Jeff Xia and Xiaotao Zheng},
journal= {arXiv preprint arXiv:2410.02033},
year = {2024}
}