FAU Lecture Notes in Pattern Recognition

Gaussians, their Intersections & the Logistic Function

An example how to compute decision boundaries from the intersection of probability density functions

Image under CC BY 4.0 from the Pattern Recognition Lecture

These are the lecture notes for FAU’s YouTube Lecture “Pattern Recognition”. This is a full transcript of the lecture video & matching slides. The sources for the slides are available here. We hope, you enjoy this as much as the videos. This transcript was almost entirely machine generated using AutoBlog and only minor manual modifications were performed. If you spot mistakes, please let us know!

Navigation

Previous Chapter / Watch this Video / Next Chapter / Top Level

Welcome back to Pattern Recognition! Today we want to continue talking about the Logistic Function. Today’s plan is to look into an example of how to use the Logistic Function with a probability density function.

Image under CC BY 4.0 from the Pattern Recognition Lecture

So this is our decision boundary that can be modeled with the Logistic Function. Let’s say our decision boundary δ(x) equals zero, so this is the…