EPSRC Winter School in Mathematics for Data Modelling

Functional Analysis in Data Modelling

author: Tony Dodd, University of Sheffield

Description

This second presentation describes the basic theory of functional analysis used in kernel methods.

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*Slides*
0:00	Functional Analysis in Data Modelling
2:53	Overview
4:02	Spaces - 1
5:08	Spaces - 2
8:20	Spaces - 1
9:04	- Questions
10:55	- Questions
13:49	- Questions
17:50	Linear spaces
19:36	- Questions
25:56	Basis
26:43	- Questions
31:36	Algebraic and geometric
33:26	- Questions
42:01	Hilbert spaces
44:26	Best approximation - 1
45:09	Best approximation - 2
47:34	- Questions
49:53	Reproducing kernel Hilbert spaces (RKHS)
51:13	RKHS
52:32	RKHS approximation
52:42	Best approximation - 3
52:49	RKHS
52:52	- Questions
60:04	- Questions

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