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CATEGORIES:Colloquium/Seminar
DESCRIPTION:Paul Constantine\, Department of Computer Science\, University
of Colorado Boulder\n\nDo global sensitivity metrics for parameterized dyna
mical systems admit their own dynamical systems?\n\nContinuous time dynamic
al systems in applications include input parameters (rate constants\, forci
ngs\, etc.) that must be set using measurement data. The calibration proces
s introduces error in the fitted parameters. Part of assessing the effects
of parameter error on outputs of interest is analysis of the output sensiti
vity with respect to inputs. Global (as opposed to local\, derivative-based
) sensitivity metrics are typically formulated for a scalar-valued function
of several variables. However\, for dynamical systems the outputs also dep
end on time. We can construct a time series from the global sensitivity met
rics at each point in time. Does this time series admit its own separate dy
namical system -- perhaps derived from or related to the underlying dynamic
al system? I’ll describe our initial efforts to model these dynamical syste
ms derived from global sensitivity metric time series\, and I’ll discuss se
veral open challenges in both analysis and numerical computation. If we can
accurately model these time series with dynamical systems\, then we can dr
amatically reduce the computational cost of global sensitivity analysis for
parameterized dynamical systems.
DTEND:20181004T210000Z
DTSTAMP:20190923T153717Z
DTSTART:20181004T200000Z
GEO:40.006791;-105.262818
LOCATION:Engineering Center\, ECOT 226
SEQUENCE:0
SUMMARY:Complex/Dynamical Systems Seminar - Paul Constantine
UID:tag:localist.com\,2008:EventInstance_3883003
URL:https://calendar.colorado.edu/event/complexdynamical_systems_seminar_-_
tahra_lucene_eissa
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