Studying the effect of different L p norms in the context of time series ordinal classification
D. Guijo-Rubio, V. Vargas , P. Gutiérrez, C. Hervás-Martínez
Conference of the spanish association for artificial intelligence, pp. 44-53, 2021Abstract
Time Series Ordinal Classification (TSOC) is yet an unexplored field of machine learning consisting in the classification of time series whose labels follow a natural order relationship between them. In this context, a well-known approach for time series nominal classification was previously used: the Shapelet Transform (ST). The exploitation of the ordinal information was included in two steps of the ST algorithm: 1) by using the Pearson’s determination coefficient () for computing the quality of the shapelets, which favours shapelets with better ordering, and 2) by applying an ordinal classifier instead of a nominal one to the transformed dataset. For this, the distance between labels was represented by the absolute value of the difference between the corresponding ranks, i.e. by the L1 norm. In this paper, we study the behaviour of different Lp norms for representing class distances in ordinal regression, evaluating 9 different Lp norms with 7 ordinal time series datasets from the UEA-UCR time series classification repository and 10 different ordinal classifiers. The results achieved demonstrate that the Pearson’s determination coefficient using the L1.9 norm in the computation of the difference between the shapelet and the time series labels achieves a significantly better performance when compared to the rest of the approaches, in terms of both Correct Classification Rate (CCR) and Average Mean Absolute Error (AMAE).
Cite this publication
BibTex
@inproceedings{guijo-rubio2021studying, author = {David Guijo-Rubio and Víctor Manuel Vargas and Pedro Antonio Gutiérrez and César Hervás-Martínez}, title = {Studying the effect of different L p norms in the context of time series ordinal classification}, booktitle = {Conference of the spanish association for artificial intelligence}, year = {2021}, pages = {44--53}, doi = {10.1007/978-3-030-85713-4_5} }
APA
Guijo-Rubio, D., Vargas, V., Gutiérrez, P., Hervás-Martínez, C. (2021). Studying the effect of different L p norms in the context of time series ordinal classification. In Conference of the spanish association for artificial intelligence (pp. 44-53).
CV
D. Guijo-Rubio, V.M. Vargas (CA), P.A. Gutiérrez, C. Hervás-Martínez, (2/4) "Studying the effect of different L p norms in the context of time series ordinal classification". Conference of the spanish association for artificial intelligence, pp. 44-53, 2021.
RIS
TY - CONF T1 - Studying the effect of different L p norms in the context of time series ordinal classification T2 - Conference of the spanish association for artificial intelligence AU - Guijo-Rubio, David AU - Vargas, Víctor Manuel AU - Gutiérrez, Pedro Antonio AU - Hervás-Martínez, César JO - Conference of the spanish association for artificial intelligence JA - Conference of the spanish association for artificial intelligence Y1 - 2021 PY - 2021 SP - 44 EP - 53 DO - 10.1007/978-3-030-85713-4_5 ER -