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LANS Seminar
August 31, 2022 @ 10:30 - 11:30 CDT
Seminar Title: Optimization Based Deep Neural Networks
Speaker: Harbir Antil, Professor, Department of Mathematical Sciences, George Mason University
Date/Time: August 31, 2022 / 10:30 AM – 11:30 AM
Location: See meeting URL on the cels-seminars website (requires Argonne login)
Host: Prasanna Balprakash
Description: This talk will introduce novel deep neural networks (DNNs) as constrained optimization problems. In particular, the talk will introduce DNNs with memory, which help overcome the vanishing gradient challenge. The talk will also explore reducing the computational complexity of DNNs by introducing a bias ordering. Approximation properties of the DNNs will also be discussed. These proposed DNNs will be shown to be excellent surrogates to parameterized (nonlinear) partial differential equations (PDEs), Bayesian inverse problems, data assimilation problems, with multiple advantages over the traditional approaches. The DNNs will also be applied to chemically reacting flows problems. The latter require solving a system of stiff ODEs and fluid flow equations. These are highly challenging problems, for instance, for combustion the number of reactions can be significant (over 100). Due to the large CPU requirements of chemical reactions (over 99% of total CPU time), a large number of flow and combustion problems are presently beyond the capabilities of even the largest computers.
Please note that the meeting URL for this event can be seen on the cels-seminars website, which requires an Argonne login.