Due to the advances in data capture and storage techniques over the last decade, the size of Multivariate Time Series (MTS) data being recorded has grown massively. Many of these MTS are characterised by a large number of interdependent variables with large possible time lags. If new and useful knowledge is to be automatically learnt from this type of data in order to aid the understanding of t...

An approach is presented for extracting phase equations from multivariate time series data recorded from a network of weakly coupled limit cycle oscillators. Our aim is to estimate important properties of the phase equations including natural frequencies and interaction functions between the oscillators. Our approach requires the measurement of an experimental observable of the oscillators; in ...

We propose the use of Multivariate Autoregressive (MAR) models of fMRI time series to make inferences about functional integration within the human brain. The method is demonstrated with synthetic and real data showing how such models are able to characterise inter-regional dependence. We extend linear MAR models to accommodate nonlinear interactions to model top-down modulatory processes with ...

Over the past decade, multivariate time series classification has been receiving a lot of attention. We propose augmenting the existing univariate time series classification models, LSTM-FCN and ALSTM-FCN with a squeeze and excitation block to further improve performance. Our proposed models outperform most of the state of the art models while requiring minimum preprocessing. The proposed model...

We propose a forecasting procedure based on multivariate dynamic kernels, with the capability of integrating information measured at different frequencies and at irregular time intervals in financial markets. A data compression process redefines the original financial time series into temporal data blocks, analyzing the temporal information of multiple time intervals. The analysis is done throu...

This paper reviews the applications of classical multivariate techniques for discrimination, clustering and dimension reduction for time series data. It is shown that the discrimination problem can be seen as a model selection problem. Some of the results obtained in the time domain are reviewed. Clustering time series requires the deÞnition of an adequate metric between univariate time series ...

A problem of association rules discovery in a multivariate time series is considered in this paper. A method for finding interpretable association rules between frequent qualitative patterns is proposed. A pattern is defined as a sequence of mixed states. The multivariate time series is transformed into a set of labeled intervals and mined for frequently occurring patterns. Then these patterns ...

Multivariate time series (MTS) arise when multiple interconnected sensors record data over time. Dealing with this high-dimensional data is challenging for every classifier for at least two aspects: First, a MTS is not only characterized by individual feature values, but also by the co-occurrence of features in different dimensions. Second, this typically adds large amounts of irrelevant data a...

We introduce dynamic orthogonal components (DOC) for multivariate time series and propose a procedure for estimating and testing the existence of DOCs for a given time series. We estimate the dynamic orthogonal components via a generalized decorrelation method that minimizes the linear and quadratic dependence across components and across time. We then use Ljung–Box type statistics to test the ...