In many applications, it is important to derive information about the topology and the internal connections of more dynamical systems interacting together. Examples can be found in fields as diverse as Economics, Neuroscience and Biochemistry. The paper deals with the problem of deriving a descriptive model of a network, collecting the node outputs as time series with no use of a priori insight on the topology. We cast the problem as the optimization of a cost function where a set of parameters are used to operate a trade-off between accuracy and complexity in the final model. The problem of reducing the complexity is addressed by fixing a certain degree of sparsity and finding the solution that ``better'' satisfies the constraints according to the criterion of approximation.
OLS Identification of Network Topologies / Materassi, Donatello; Innocenti, Giacomo; Giarrè, Laura; Salapaka Murti, V.. - STAMPA. - World Congress, Volume# 18, Part# 1:(2011), pp. 8836-8841. (Intervento presentato al convegno 18th IFAC World Congress, 2011 tenutosi a Università Cattolica del Sacro Cuore, Milano, Italy nel 28/08/2011 - 02/09/2011) [10.3182/20110828-6-IT-1002.01141].
OLS Identification of Network Topologies
INNOCENTI, GIACOMO;
2011
Abstract
In many applications, it is important to derive information about the topology and the internal connections of more dynamical systems interacting together. Examples can be found in fields as diverse as Economics, Neuroscience and Biochemistry. The paper deals with the problem of deriving a descriptive model of a network, collecting the node outputs as time series with no use of a priori insight on the topology. We cast the problem as the optimization of a cost function where a set of parameters are used to operate a trade-off between accuracy and complexity in the final model. The problem of reducing the complexity is addressed by fixing a certain degree of sparsity and finding the solution that ``better'' satisfies the constraints according to the criterion of approximation.File | Dimensione | Formato | |
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