On a Constructive Proof of Kolmogorov’s Superposition Theorem

By J. Braun, Michael Griebel. 2009

316 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/58a6b4967261ebf6fb6aa767629d90d54697cc63

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Wuyang Li
2. Yixuan Yuan
3. Xinyu Liu
4. Chenxin Li
5. Hengyu Liu
6. Cheng Wang

Citations in the corpus

• U-KAN Makes Strong Backbone for Medical Image Segmentation and Generation (2024, background): “Despite its potential, the inherent obscurity within this structure significantly hampers the model’s interpretability, thus posing considerable challenges to intuitively understanding the underlying decision-making mechanisms.”
• KAN: Kolmogorov-Arnold Networks (2024, unknown): “Whereas MLPs are inspired by the universal approximation theorem, KANs are inspired by the Kolmogorov-Arnold representation theorem [6, 7].”