Manifold learning and Geometry

SoCG 2007: Geometric Views of Learning

For the talk A Geometric perspective on machine Learning given by Professor  Partha Niyogi (1967-2010) , the video is here. There is another video lecture give by Partha Niyogi about Geometric Methods and Manifold Learning here.

 The subject was manifold learning:

Given a collection of (unlabelled) data inhabiting some high dimensional space, can you determine whether they actually lie on some lower dimensional manifold in this space ?

This talk was a great window into an area of machine learning with strong geometric connections, an area where geometers could profitably play and make useful contributions.

Two thesis:

Group theoretical methods in machine learning

Riemannian Geometry and Statistical Machine Learning