Inference of hidden variables in systems of differential equations with genetic programming

Created by W.Langdon from gp-bibliography.bib Revision:1.8010

@Article{Cornforth:2013:GPEM,

• author = "Theodore W. Cornforth and Hod Lipson",
• title = "Inference of hidden variables in systems of differential equations with genetic programming",
• journal = "Genetic Programming and Evolvable Machines",
• year = "2013",
• volume = "14",
• number = "2",
• pages = "155--190",
• month = jun,
• keywords = "genetic algorithms, genetic programming, Ordinary differential equations, Hidden variables, Modelling, Symbolic identification",
• ISSN = "1389-2576",
• DOI = "doi:10.1007/s10710-012-9175-4",
• size = "36",
• abstract = "The data-driven modelling of dynamical systems is an important scientific activity, and many studies have applied genetic programming (GP) to the task of automatically constructing such models in the form of systems of ordinary differential equations (ODEs). These previous studies assumed that data measurements were available for all variables in the system, whereas in real-world settings, it is typically the case that one or more variables are unmeasured or hidden. Here, we investigate the prospect of automatically constructing ODE models of dynamical systems from time series data with GP in the presence of hidden variables. Several examples with both synthetic and physical systems demonstrate the unique challenges of this problem and the circumstances under which it is possible to reverse-engineer both the form and parameters of ODE models with hidden variables.",
• notes = "Error = normalised scaled mean absolute error (sum absolute error divided by observed standard deviation). GP individual = n trees (for n 'equations and dynamic variables'). Trees limited to depth five. Pop=96. Steady state population but (multi-objective) selection against old guys 'Age fitness Pareto Algorithm' \cite{Schmidt:2010:GPTP} \cite{Schmidt:2010:gecco}. Hill climbing to choose constants. 'Pareto hall of fame'. Evolved GP trees simplified by Matlab symbolic math toolbox.",

}

Genetic Programming entries for Theodore W Cornforth Hod Lipson

Citations