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Himpe, Christian

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

1. Edition, March 2017
English, 220 Pages, 14,8 x 21,0 cm, 300 g
ISBN: 978-3-86844-881-8 DOI 10.14626/9783868448818
€44.00
OR
Combined State and Parameter Reduction  for Nonlinear Systems with an Application in Neuroscience

Keywords

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

The Book

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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