Identifying partial topology of simplicial complexes

This paper investigates partial topology identification of simplicial complexes based on adaptive synchronization. For the nodes of interest, the interactions that they participate in can be accurately reconstructed by designing adaptive controllers and parameter estimators. Particularly, not only p...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2022-11, Vol.32 (11), p.113128-113128
Main Authors: Fan, Ziye, Wu, Xiaoqun
Format: Article
Language:English
Subjects:
Adaptive control
Estimators
Parameter estimation
Parameter identification
Process parameters
Synchronism
Topology
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Summary:This paper investigates partial topology identification of simplicial complexes based on adaptive synchronization. For the nodes of interest, the interactions that they participate in can be accurately reconstructed by designing adaptive controllers and parameter estimators. Particularly, not only pairwise interactions but a higher-order structure can be effectively recovered by our method. Moreover, a new linear independence condition with a rigorous definition is established for parameter estimators to converge asymptotically to the true values. Numerical simulations on a general two-dimensional simplicial complex as well as a real-world structure are provided to show the validity of the result and discuss the influence of different parameters on the identification process.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0106943