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