Interpretable Time Series Classification using Linear Models and Multi-resolution Multi-domain Symbolic Representations

TL;DR

This paper introduces a linear, interpretable, multi-resolution, multi-domain symbolic representation-based classifier for time series data that matches state-of-the-art accuracy while being more efficient and adaptable to variable-length series.

Contribution

It presents a novel linear classification approach using symbolic representations and sequence mining, achieving high accuracy with improved efficiency and interpretability over complex models.

Findings

Achieves accuracy comparable to COTE and deep learning models

Uses significantly less time and memory than state-of-the-art methods

Provides interpretable features highlighted on original time series

Abstract

The time series classification literature has expanded rapidly over the last decade, with many new classification approaches published each year. Prior research has mostly focused on improving the accuracy and efficiency of classifiers, with interpretability being somewhat neglected. This aspect of classifiers has become critical for many application domains and the introduction of the EU GDPR legislation in 2018 is likely to further emphasize the importance of interpretable learning algorithms. Currently, state-of-the-art classification accuracy is achieved with very complex models based on large ensembles (COTE) or deep neural networks (FCN). These approaches are not efficient with regard to either time or space, are difficult to interpret and cannot be applied to variable-length time series, requiring pre-processing of the original series to a set fixed-length. In this paper we propose new time series classification algorithms to address these gaps. Our approach is based on symbolic representations of time series, efficient sequence mining algorithms and linear classification models. Our linear models are as accurate as deep learning models but are more efficient regarding running time and memory, can work with variable-length time series and can be interpreted by highlighting the discriminative symbolic features on the original time series. We show that our multi-resolution multi-domain linear classifier (mtSS-SEQL+LR) achieves a similar accuracy to the state-of-the-art COTE ensemble, and to recent deep learning methods (FCN, ResNet), but uses a fraction of the time and memory required by either COTE or deep models. To further analyse the interpretability of our classifier, we present a case study on a human motion dataset collected by the authors. We release all the results, source code and data to encourage reproducibility.