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- W2951614592 abstract "Traditional linear methods for forecasting multivariate time series are not able to satisfactorily model the non-linear dependencies that may exist in non-Gaussian series. We build on the theory of learning vector-valued functions in the reproducing kernel Hilbert space and develop a method for learning prediction functions that accommodate such non-linearities. The method not only learns the predictive function but also the matrix-valued kernel underlying the function search space directly from the data. Our approach is based on learning multiple matrix-valued kernels, each of those composed of a set of input kernels and a set of output kernels learned in the cone of positive semi-definite matrices. In addition to superior predictive performance in the presence of strong non-linearities, our method also recovers the hidden dynamic relationships between the series and thus is a new alternative to existing graphical Granger techniques." @default.
- W2951614592 created "2019-06-27" @default.
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- W2951614592 date "2017-06-27" @default.
- W2951614592 modified "2023-09-27" @default.
- W2951614592 title "Forecasting and Granger Modelling with Non-linear Dynamical Dependencies" @default.
- W2951614592 hasPublicationYear "2017" @default.
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