A regression model with a hidden logistic process for feature extraction from time series

Faicel Chamroukhi; Allou Samé; Gérard Govaert; Patrice Aknin

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arXiv · 1312.7001

A regression model with a hidden logistic process for feature extraction from time series

Faicel Chamroukhi·Allou Samé·Gérard Govaert·Patrice Aknin

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Abstract

A new approach for feature extraction from time series is proposed in this paper. This approach consists of a specific regression model incorporating a discrete hidden logistic process. The model parameters are estimated by the maximum likelihood method performed by a dedicated Expectation Maximization (EM) algorithm. The parameters of the hidden logistic process, in the inner loop of the EM algorithm, are estimated using a multi-class Iterative Reweighted Least-Squares (IRLS) algorithm. A piecewise regression algorithm and its iterative variant have also been considered for comparisons. An experimental study using simulated and real data reveals good performances of the proposed approach.

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Faicel Chamroukhi, Allou Samé, Gérard Govaert, Patrice Aknin. 2013-12-25. A regression model with a hidden logistic process for feature extraction from time series. https://arxiv.org/abs/1312.7001

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