The Structure of a new AI architecture (KAN)

Here I disentangle what a layer is in this new framework.
//Link
The story of Arnold and Ponryagin over the Fields Medal
mathoverflow.n...
//Watch Next
The Real Analysis Survival Guide • The Real Analysis Surv...
The Analyticity of the Laplace transform • Morera's Theorem in Pr...
Introduction to Control Theory • Introduction to Contro...
//Papers
KAN Manuscript Ziming Liu et al - arxiv.org/abs/...
Kolmogorov's Paper - cs.uwaterloo.c...
//Books
V. I. Arnold - Mathematical Methods of Classical Mechanics - amzn.to/3wMuQWe
Steve Brunton and J. Nathan Kutz - Data Driven Science and Engineering amzn.to/4daHtem
Holger Wendland - Scattered Data Approximation amzn.to/4daHtem
Gregory Fasshauer - Meshfree Approximation Methods with MATLAB amzn.to/3U1KMeM
Gregory Fasshauer - Kernel Based Approximation Methods using MATLAB amzn.to/4d1CwEx
Ingo Steinwart and Andreas Christmann - Support Vector Machines amzn.to/4d5C7km
// Code
BitBucket
bitbucket.org/...
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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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[@mlliarm]

The hack for the whiteboard on the tv was ingenious 😅. I'll steal the idea. Keep feeding us KANs :)

[@JoelRosenfeld]

Haha thanks! Not a lot of options in a hotel room! More KAN to come

[@dacioferreira7127]

I'm still a beginner, I'm studying statistics at USP Brazil and I'm interested in machine learning. Your videos are excellent and this topic covered in this video seems like it will revolutionize the field. I'll be waiting for the next videos.

[@JoelRosenfeld]

I think it's really fascinating, honestly. The Kolmogorov Arnold Representation is something that is entirely new to me, even though it's been around since the 1950s. KAN has renewed interest in this representation, and I think there is a lot to do with it from both the AI implementation side of things and from the theory side.,

[@peterhall6656]

Arnold loved taking the piss out of French mathematicians, especially those of the Bourbaki school. When he was at a conference in San Francisco he went for a swim (water was about 10 deg C or so) and there are very strong currents. He said it was "refreshing".

[@JoelRosenfeld]

@@peterhall6656 haha that’s hilarious!

[@alxlg]

Is it me or this just sounds too good to be true? There must be a catch or a big downside...

[@JoelRosenfeld]

@@alxlg it’s still really in the early days of this method, and we haven’t quite figured out all the limitations yet. It has great potential and I think there is a lot to explore with them.