Path signatures in topology, dynamics and data analysis

6 August 2020
16:00
Vidit Nanda
Abstract

The signature of a path in Euclidean space resides in the tensor algebra of that space; it is obtained by systematic iterated integration of the components of the given path against one another. This straightforward definition conceals a host of deep theoretical properties and impressive practical consequences. In this talk I will describe the homotopical origins of path signatures, their subsequent application to stochastic analysis, and how they facilitate efficient machine learning in topological data analysis. This last bit is joint work with Ilya Chevyrev and Harald Oberhauser.

The join button will be published on the right (Above the view all button) 30 minutes before the seminar starts (login required).