BIMSA > 控制理论和非线性滤波讨论班 The Kolmogorov Superposition Theorem and High Dimensional Function Approximation
The Kolmogorov Superposition Theorem and High Dimensional Function Approximation
组织者
丘成栋
演讲者
孙泽钜
时间
2023年01月10日 21:00 至 21:30
地点
Online
摘要
In this talk, we will discuss the paper entitled "The Kolmogorov Superposition Theorem can Break the Curse of Dimension When Approximating High Dimensional Functions" by M.-J. Lai and Z. Shen. In this paper, the authors explain how to use Kolmogorov Superposition Theorem to break the curse of dimension when approximating continuous multivariate functions. Using the so-called LKB-splines to approximate high dimensional functions, the authors show that it is not necessary to use a lot of basis functions or a lot of data locations when approximating high dimensional continuous functions which is not very oscillated.