Invitations to Mathematics - Dongbin Xiu

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Dongbin Xiu
September 15, 2021
4:10PM - 5:40PM
Location
EA 170

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Add to Calendar 2021-09-15 16:10:00 2021-09-15 17:40:00 Invitations to Mathematics - Dongbin Xiu Title: Data Driven Modeling of Unknown Systems with Deep Neural Networks Speaker: Dongbin Xiu Abstract: We present a framework of predictive modeling of unknown system from measurement data. The method is designed to discover/approximate the unknown evolution operator behind the data. Deep neural network (DNN) is employed to construct such an approximation. Once an accurate DNN model for evolution operator is constructed, it serves as a predictive model for the unknown system and enables us to conduct system analysis. We demonstrate that residual network (ResNet) is particularly suitable for modeling autonomous dynamical systems. Extensions to other types of systems will be discussed, including non-autonomous systems, systems with uncertain parameters, and more importantly, systems with missing variables, as well as partial differential equations (PDEs).   EA 170 Department of Mathematics math@osu.edu America/New_York public
Description

Title: Data Driven Modeling of Unknown Systems with Deep Neural Networks

Speaker: Dongbin Xiu

Abstract:

We present a framework of predictive modeling of unknown system from measurement
data. The method is designed to discover/approximate the unknown evolution operator
behind the data. Deep neural network (DNN) is employed to construct such an
approximation. Once an accurate DNN model for evolution operator is constructed, it
serves as a predictive model for the unknown system and enables us to conduct system
analysis. We demonstrate that residual network (ResNet) is particularly suitable for
modeling autonomous dynamical systems. Extensions to other types of systems will be
discussed, including non-autonomous systems, systems with uncertain parameters, and
more importantly, systems with missing variables, as well as partial differential equations
(PDEs).

 

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