Data-Driven Dynamics

Event Sponsor: 
Mathmatics and Computer Science Division Seminar
Start Date: 
Sep 27 2018 - 10:30am
Building/Room: 
Building 240/Room 4301
Location: 
Argonne National Laboratory
Speaker(s): 
Aurya Javeed
Speaker(s) Title: 
Cornell University
Host: 
Jeff Larson and Mihai Anitescu

In this talk, I will give a high-level overview of the projects I worked on as an applied math Ph.D. candidate. Each project ties into my broader ambition of laying mathematical foundations for a data-driven approach to dynamics.

I will first discuss a policy for optimally timing observations of stochastic differential equations (SDEs). For context, imagine trying to infer the rate that insulin leaves a diabetic's bloodstream. Each insulin measurement requires a blood sample, so it should be taken judiciously.

Next, I will discuss the numerics that I use to simulate SDEs. This part of the talk will cover some of the deep connections between SDEs and ODEs.

Finally, I will summarize my research into the estimation of Floquet multipliers. (Floquet multipliers are to periodic steady states what Jacobian eigenvalues are to equilibria.) Here, the application is running: the mathematical questions I study provide insights into the way our neurosystem keeps us upright.
 

Miscellaneous Information: 

This seminar will be streamed, see details at https://anlpress.cels.anl.gov/mcs-streaming-seminars.

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