A video about neural networks, function approximation, machine learning, and mathematical building blocks. This is a submission for #SoME3
(0:00) Functions Describe the World
(3:15) Neural Architecture
(5:35) Higher Dimensions
(11:55) Taylor Series
(15:20) Fourier Series
(21:25) The Real World
(24:32) An Open Challenge
Links and Content:
• On Mathematical Maturity, Thomas Garrity: https://youtube.com/watch?v=zHU1xH6Ogs4
• Earth Rotation Loop: https://youtube.com/watch?v=aiQdLP2mBJE
• Earth Rotation Loop
Modeling Shell Surfaces: https://www.geogebra.org/m/xtv7zpn5
• Fourier Features Paper: https://arxiv.org/abs/2006.10739
• Code for mandelbrot/image approximations:
https://github.com/MaxRobinsonTheGreat/mandelbrotnn
• Code for line/surface approximations:
https://github.com/MaxRobinsonTheGreat/ManimApproximations
