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The Structure of a new AI architecture (KAN)

ThatMathThing 3,322 7 months ago
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Here I disentangle what a layer is in this new framework. //Link The story of Arnold and Ponryagin over the Fields Medal https://mathoverflow.net/questions/27144/why-didnt-vladimir-arnold-get-the-fields-medal-in-1974 //Watch Next The Real Analysis Survival Guide https://youtu.be/v5rD0B-zfXw The Analyticity of the Laplace transform https://youtu.be/FIMkbFQL6XM Introduction to Control Theory https://youtu.be/0v4WFmOm764 //Papers KAN Manuscript Ziming Liu et al - https://arxiv.org/abs/2404.19756 Kolmogorov's Paper - https://cs.uwaterloo.ca/~y328yu/classics/Kolmogorov57.pdf //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/figures-from-kan-videos/src/main/ //Music Provided by Epidemic Sound Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel: https://www.epidemicsound.com/referral/644nao //Recording Equipment Canon SL3: https://amzn.to/3nZ11KU Canon T6i: https://amzn.to/3FUpkQh Rode VideoMic: https://amzn.to/3lhldGa Blue Yeti Microphone: https://amzn.to/3I1y88N Yeti Nano Microphone: https://amzn.to/3I1mriA SanDisc 256GB SD Card: https://amzn.to/3E3LOOr Neewer 5600K USB LED Lights: https://amzn.to/3xvB9cN Neewer 18 inch Ring Light: https://amzn.to/2ZvgCsc Camera Power Adapter: https://amzn.to/3D3upUu 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. DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!

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