Signature SDEs from an affine and polynomial perspective

Speaker:  Josef Teichmann - ETH Zürich
  Wednesday, April 20, 2022 at 12:00 PM In presenza + Zoom Webinar.

Affine or polynomial processes are fascinating classes of models due to the so-called affine transform formulae or moment formulae, respectively. We first show through a linearization procedure that generic classes of diffusion models can be obtained as projections of infinite dimensional affine processes (which actually coincide with polynomial processes). Affine and polynomial technology next allows to derive so far unknown formulae for characteristic functions and moments of involved process functionals. Third a dynamic viewpoint on those formulae (combined with machine learning approaches) leads to efficient numerical evaluations.

Link to Zoom meeting: https://univr.zoom.us/j/84072573273


Programme Director
Alessandro Gnoatto

External reference
Publication date
November 14, 2021

Studying

Share