Why the world NEEDS Kolmogorov Arnold Networks

We discuss the importance and contribution that the KAN method accomplishes.

//Watch Next
The Real Analysis Survival Guide    • The Real Analysis Survival Guide  
The Analyticity of the Laplace transform    • Morera's Theorem in Practice - Laplac...  
Introduction to Control Theory    • Introduction to Control Theory  

//Papers

KAN Manuscript Ziming Liu et al - https://arxiv.org/abs/2404.19756

Kolmogorov's Paper - https://cs.uwaterloo.ca/~y328yu/class...

//Books
V. I. Arnold - Mathematical Methods of Classical Mechanics - https://amzn.to/3wMuQWe

Steve Brunton and J. Nathan Kutz - Data Driven Science and Engineering https://amzn.to/4daHtem

Holger Wendland - Scattered Data Approximation https://amzn.to/4daHtem

Gregory Fasshauer - Meshfree Approximation Methods with MATLAB https://amzn.to/3U1KMeM

Gregory Fasshauer - Kernel Based Approximation Methods using MATLAB https://amzn.to/4d1CwEx

Ingo Steinwart and Andreas Christmann - Support Vector Machines https://amzn.to/4d5C7km

// Code

BitBucket
https://bitbucket.org/joelrosenfeld/f...

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This content is partially supported by National Science Foundation - Award ID 2027976, Air Force Office Of Scientific Research - Award FA9550-20-1-0127 and FA9550-21-1-0134. I am responsible for all opinions and content, and what I say does not necessarily reflect the sponsoring organizations.

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0:00 KAN do attitude
1:15 Curse of Dimensionality
2:38 The Kolmogorov Arnold Representation
4:27 Conquering the Curse of Dimensionality
6:37 Wrap Up