Saturday, August 31, 2019

Visualizing Fourier Series and Fourier Transformation


If you ever go in the depths of artificial intelligence, you will come across the need for understanding the fourier transformation. As Deep AI says, Fourier transform can be used as a feature selection and/or dimensionality reduction technique.  If the data exhibits any tendency towards periodicity, the FT can be used to generate features by selecting the FT components with the highest weights.  One can also reduce the dimensionality of the data set if one projects all data on to a subspace of components that tend to exhibit large weights.

Folks at 3Blue1Brown have two amazing videos on this topic:
1. But what is a Fourier series? From heat flow to circle drawings