Lecture Notes in Pattern Recognition

Kernels, Kernels, Kernels …

Kernel PCA and Sequence Kernels

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!

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Welcome back to pattern recognition. Today we want to look into a couple of the advanced kernel tricks and in particular, we want to introduce the kernel PCA and we want to look into some kernels that can also work on sequences. So looking forward to showing you some advanced methods of pattern recognition.

Image under CC BY 4.0 from the Pattern Recognition Lecture

So let’s revisit the PCA. We had some observations x1 to xm in a d-dimensional feature space and they have a zero mean. If they don’t have a zero mean then we could of course enforce them to have zero mean by…