Evolving Gaussian process kernels from elementary mathematical expressions for time series extrapolation

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@Article{ROMAN:2021:Neurocomputing,

• author = "Ibai Roman and Roberto Santana and Alexander Mendiburu and Jose A. Lozano",
• title = "Evolving Gaussian process kernels from elementary mathematical expressions for time series extrapolation",
• journal = "Neurocomputing",
• volume = "462",
• pages = "426--439",
• year = "2021",
• ISSN = "0925-2312",
• DOI = "doi:10.1016/j.neucom.2021.08.020",
• URL = "https://www.sciencedirect.com/science/article/pii/S0925231221012042",
• keywords = "genetic algorithms, genetic programming, Evolutionary search, Gaussian processes, Kernel learning, Time series extrapolation",
• abstract = "Choosing the best kernel is crucial in many Machine Learning applications. Gaussian Processes are a state-of-the-art technique for regression and classification that heavily relies on a kernel function. However, in the Gaussian Processes literature, kernels have usually been either ad hoc designed, selected from a predefined set, or searched for in a space of compositions of kernels which have been defined a priori. In this paper, we propose a Genetic Programming algorithm that represents a kernel function as a tree of elementary mathematical expressions. By means of this representation, a wider set of kernels can be modeled, where potentially better solutions can be found, although new challenges also arise. The proposed algorithm is able to overcome these difficulties and find kernels that accurately model the characteristics of the data. This method has been tested in several real-world time series extrapolation problems, improving the state-of-the-art results while reducing the complexity of the kernels",

}

Genetic Programming entries for Ibai Roman Roberto Santana Alexander Mendiburu Jose A Lozano

Citations