TY - GEN
T1 - Reduced complexity models in the identification of dynamical networks
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
AU - Materassi, Donatello
AU - Innocenti, Giacomo
AU - Giarré, Laura
PY - 2009
Y1 - 2009
N2 - In many applicative scenarios 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 operating a trade-off between accuracy and complexity in the final model. We address the problem of reducing the complexity by fixing a certain degree of sparsity, and trying to find the solution that "better" satisfies the constraints according to the criterion of approximation.
AB - In many applicative scenarios 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 operating a trade-off between accuracy and complexity in the final model. We address the problem of reducing the complexity by fixing a certain degree of sparsity, and trying to find the solution that "better" satisfies the constraints according to the criterion of approximation.
UR - http://www.scopus.com/inward/record.url?scp=77950795074&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950795074&partnerID=8YFLogxK
U2 - 10.1109/CDC.2009.5400379
DO - 10.1109/CDC.2009.5400379
M3 - Conference contribution
AN - SCOPUS:77950795074
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4796
EP - 4801
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 15 December 2009 through 18 December 2009
ER -