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Multi-view kernel PCA for time series forecasting

delete2023-10-01
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OA
AI
A
Arun Pandey
H
Hannes De Meulemeester
B
Bart De Moor *
J
Johan A. K. Suykens
DOI:10.1016/j.neucom.2023.126639delete
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摘要

摘要

En 中文
In this paper, we propose a kernel principal component analysis model for multi-variate time series forecasting, where the training and prediction schemes are derived from the multi-view formulation of Restricted Kernel Machines. The training problem is simply an eigenvalue decomposition of the summation of two kernel matrices corresponding to the views of the input and output data. When a linear kernel is used for the output view, it is shown that the forecasting equation takes the form of kernel ridge regression. When that kernel is non-linear, a pre-image problem has to be solved to forecast a point in the input space. We evaluate the model on several standard time series datasets, perform ablation studies, benchmark with closely related models and discuss its results.
Keyword:
Kernel methods
Multi-variate time series forecasting
Kernel PCA
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期刊

Neurocomputing 封面图
Neurocomputing
IF:
6.5
论文数:
2.5W
被引数:
6.5W

机构

K
KU Leuven
学者数:
5.7W
论文数: 5.2W
被引数: 8.1W
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