Minimum Norm Interpolation via the Local Theory of Banach Spaces: The Role of $2$-Uniform Convexity
通过巴拿赫空间的局部理论实现最小范数插值:2-均匀凸性的作用
机构 * Institute for Machine Learning, ETH Zürich(苏黎世联邦理工学院机器学习研究所) ; Department of Mathematics, Weizmann Institute of Science(魏茨曼科学研究所数学系)
AI总结 本文研究了在2-均匀凸性假设下最小范数插值器的性质,证明了其在线性和非线性模型中的偏差上界,并在特定条件下建立了非高斯协变量的泛化界。
Comments Submitted (minor corrections and improved readability from the previous version). A preliminary work titled "Minimum Norm Interpolation Meets the Local Theory of Banach Spaces'' appeared at the 2024 International Conference on Machine Learning (consider this information for citations)