Aller au contenu principal
A method for parameter inference for Stochastic Differential Equations
Inference for Stochastic Differential Equations has seen a lot of improvement in the recent past with modern hardware and better algorithms. In this talk, we focus on developing a computationally scalable approach to stochastic differential equations using Particle Filters. Particle filters allow us to obtain an estimate of the log-likelihood and using tools from automatic differentiation, we are able to obtain partial derivatives of the log-likelihood with respect to the parameters. We then apply a stochastic optimization algorithm to the parameters to converge to a local optima since most of the parameter trajectories are non-convex. We implement this in a modern high-performance computing framework, JAX which utilizes automatic differentiation and Just-in Time compilation which provides tremendous speed-ups. Finally, we evaluate the performance of this approach on multiple problems and evaluate the results.
Date and Time
-
Co-auteurs (non y compris vous-même)
Pranav Subramani
University Of Waterloo
Martin Lysy
University Of Waterloo
Jonathan Ramkissoon
University Of Waterloo
Mohan Wu
University Of Waterloo
Langue de la présentation orale
Anglais
Langue des supports visuels
Anglais

Speaker

Edit Name Primary Affiliation
Pranav Subramani University of Waterloo