Geometry and analysis of high dimensional data

Geometry & Topology
Event time: 
Tuesday, February 25, 2020 - 4:15pm
431 DL
Raphy Coifman
Speaker affiliation: 
Event description: 

This is an expository talk on various methodologies to  integrate and build geometries as they relate to  analytic tasks. 

The simplest paradigm is the construction of good metrics on a space given a collection of functions. This requires building a metric on the functions as well as on the space (duality).

Various geometric organization methods are going to be described as well as applications to empirical Riemannian geometry using Deep Neural Nets leading to  a discrete version of isometric embeddings.