Title
Prediction of chaotic time series based on multi-scale gaussian processes
Abstract
This paper considers the prediction of chaotic time series by proposed multi-scale Gaussian processes (MGP) models, an extension of classical Gaussian processes (GP) model. Unlike the GP spending much time to find the optimal hyperparameters, MGP employs a covariance function that is constructed by a scaling function with its different dilations and translations, ensuring that the optimal hyperparameter is easy to determine. Moreover, the scaling function with its different dilations and translations can form a set of complete bases, resulting in that the MGP can acquire better prediction performance than GP. The effectiveness of MGP is evaluated using simulated Mackey-Glass series as well as real-world electric load series. Results show the proposed model outperforms GP on prediction performance, and takes much less time to determine hyperparameter. Results also show that the performance of MGP is competitive with support vector machine (SVM). They give better performance compared to the radial basis function (RBF) networks.
Year
DOI
Venue
2006
10.1007/11875581_22
IDEAL
Keywords
Field
DocType
better prediction performance,scaling function,gp spending,radial basis function,multi-scale gaussian process,chaotic time series,real-world electric load series,prediction performance,different dilation,better performance,covariance function,gaussian process,support vector machine
Covariance function,Radial basis function,Hyperparameter,Pattern recognition,Computer science,Support vector machine,Algorithm,Mean squared error,Artificial intelligence,Gaussian process,Chaotic,Covariance
Conference
Volume
ISSN
ISBN
4224
0302-9743
3-540-45485-3
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
Yatong Zhou1285.72
Taiyi Zhang217617.60
Xiaohe Li3272.96