Uploaded May 2024 | Updated September 2026, 6 days ago
We discuss the importance and contribution that the KAN method accomplishes.
//Watch Next
The Real Analysis Survival Guide youtu.be/v5rD0B-zfXw
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Introduction to Control Theory youtu.be/0v4WFmOm764
//Papers
KAN Manuscript Ziming Liu et al - arxiv.org/abs/2404.19756
Kolmogorov's Paper - cs.uwaterloo.ca/~y328yu/classics/Kolmogorov57.pdf
//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/joelrosenfeld/figures-from-kan-videos/src/main
//Music Provided by Epidemic Sound
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epidemicsound.com/referral/644nao
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
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Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
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Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: 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!
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
We discuss the importance and contribution that the KAN method accomplishes.
//Watch Next
The Real Analysis Survival Guide youtu.be/v5rD0B-zfXw
The Analyticity of the Laplace transform youtu.be/FIMkbFQL6XM
Introduction to Control Theory youtu.be/0v4WFmOm764
//Papers
KAN Manuscript Ziming Liu et al - arxiv.org/abs/2404.19756
Kolmogorov's Paper - cs.uwaterloo.ca/~y328yu/classics/Kolmogorov57.pdf
//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/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:
epidemicsound.com/referral/644nao
//Recording Equipment
Canon SL3: amzn.to/3nZ11KU
Canon T6i: amzn.to/3FUpkQh
Rode VideoMic: amzn.to/3lhldGa
Blue Yeti Microphone: amzn.to/3I1y88N
Yeti Nano Microphone: amzn.to/3I1mriA
SanDisc 256GB SD Card: amzn.to/3E3LOOr
Neewer 5600K USB LED Lights: amzn.to/3xvB9cN
Neewer 18 inch Ring Light: amzn.to/2ZvgCsc
Camera Power Adapter: 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!
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
