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Himpe, Christian

Combined State and Parameter Reduction for Nonlinear Systems with an Application in Neuroscience

1. Auflage, März 2017
Englisch, 220 Seiten, 14,8 x 21,0 cm, 300 g
ISBN: 978-3-86844-881-8 DOI 10.14626/9783868448818
44,00 €
ODER
Combined State and Parameter Reduction  for Nonlinear Systems with an Application in Neuroscience

Schlagworte

Model Reduction, Model Order Reduction, Combined State and Parameter Reduction, Empirical Gramians, Cross Gramian, Balanced Truncation, Greedy Algorithm, Systems Neuroscience, Functional Neuroimaging, Dynamic Causal Modeling, Matlab, Numerische Mathematik

Das Buch

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.



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