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【115/4/16】15:20-16:10 Prof. Ming-Cheng Shiue (Department of Applied Mathematics National Yang Ming Chiao Tung University)

 

Colloquium

Time 2026-4-16 15:20-16:10
Venue 31106, Department of Mathematics
Speaker Prof. Ming-Cheng Shiue (Department of Applied Mathematics National Yang Ming Chiao Tung University)
Title Kolmogorov-Arnold Theorem and Its Connection to KAN Neural Networks
Abstract The Kolmogorov-Arnold Representation Theorem (KAT) is a foundational result in mathematical analysis that states any multivariate continuous function can be represented as a superposition of continuous univariate functions and a finite number of additions. This theorem has played a crucial role in the development of function approximation theories and has recently gained renewed interest as the theoretical backbone of Kolmogorov-Arnold Networks (KANs). In this talk, I will review the historical development and refinements of the Kolmogorov-Arnold Theorem and the approximate capability of the KANs by using polynomials is presented.

 

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