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