Combined State and Parameter Reduction von Christian Himpe | for Nonlinear Systems with an Application in Neuroscience | ISBN 9783868448818

Combined State and Parameter Reduction

for Nonlinear Systems with an Application in Neuroscience

von Christian Himpe
Buchcover Combined State and Parameter Reduction | Christian Himpe | EAN 9783868448818 | ISBN 3-86844-881-0 | ISBN 978-3-86844-881-8

Combined State and Parameter Reduction

for Nonlinear Systems with an Application in Neuroscience

von Christian Himpe
This work investigates two complementary methods for combined state
and parameter reduction of nonlinear systems. First, a system-theoretic
approach using empirical gramians, and second, an iterative method utilizing
the greedy algorithm. The presented methods are applied in the context
of connectivity analysis of functional neuroimaging data, in which these
nonlinear model reduction techniques are demonstrated to accelerate the
solution of many-query problems enabling the data-driven exploration of
more complex neuronal networks, for example in the human brain.