Title
Kernels for Periodic Time Series Arising in Astronomy
Abstract
We present a method for applying machine learning algorithms to the automatic classification of astronomy star surveys using time series of star brightness. Currently such classification requires a large amount of domain expert time. We show that a combination of phase invariant similarity and explicit features extracted from the time series provide domain expert level classification. To facilitate this application, we investigate the cross-correlation as a general phase invariant similarity function for time series. We establish several theoretical properties of cross-correlation showing that it is intuitively appealing and algorithmically tractable, but not positive semidefinite, and therefore not generally applicable with kernel methods. As a solution we introduce a positive semidefinite similarity function with the same intuitive appeal as cross-correlation. An experimental evaluation in the astronomy domain as well as several other data sets demonstrates the performance of the kernel and related similarity functions.
Year
DOI
Venue
2009
10.1007/978-3-642-04174-7_32
ECML/PKDD
Keywords
DocType
Volume
domain expert level classification,time series,general phase invariant similarity,phase invariant similarity,periodic time series arising,cross-correlation showing,related similarity function,domain expert time,astronomy domain,positive semidefinite similarity function,automatic classification,feature extraction,kernel method,machine learning,cross correlation
Conference
5782
ISSN
Citations 
PageRank 
0302-9743
10
0.75
References 
Authors
20
4
Name
Order
Citations
PageRank
Gabriel Wachman1955.42
Roni Khardon21068133.16
Pavlos Protopapas312714.73
Charles R. Alcock4100.75