Supervised Aggregative Feature Extraction for Big Data Time Series Regression

In many applications, and especially those where batch processes are involved, a target scalar output of interest is often dependent on one or more time series of data. With the exponential growth in data logging in modern industries such time series are increasingly available for statistical modeling in soft sensing applications. In order to exploit time series data for predictive modelling, it is necessary to summarise the information they contain as a set of features to use as model regressors. Typically this is done in an unsupervised fashion using simple techniques such as computing statistical moments, principal components or wavelet decompositions, often leading to significant information loss and hence suboptimal predictive models. In this paper, a functional learning paradigm is exploited in a supervised fashion to derive continuous, smooth estimates of time series data (yielding aggregated local information), while simultaneously estimating a continuous shape function yielding optimal predictions. The proposed Supervised Aggregative Feature Extraction (SAFE) methodology can be extended to support nonlinear predictive models by embedding the functional learning framework in a Reproducing Kernel Hilbert Spaces setting. SAFE has a number of attractive features including closed form solution and the ability to explicitly incorporate first and second order derivative information. Using simulation studies and a practical semiconductor manufacturing case study we highlight the strengths of the new methodology with respect to standard unsupervised feature extraction approaches.

Eurozone Network Connectedness During Calm and Crisis: Evidence from the MTS Platform for Interdealer Trading of European Sovereign Debt

This paper examines the connectedness of the Eurozone sovereign debt market over the period 2005–2011. By employing measures built from the variance decompositions of approximating models we are able to define weighted, directed networks that enable a deeper understanding of the relationships between the Eurozone countries. We find that connectedness in the Eurozone was very high during the calm market conditions preceding the global financial crisis but decreased dramatically when the crisis took hold, and worsened as the Eurozone sovereign debt crisis emerged. The drop in connectedness was especially prevalent in the case of the peripheral countries with some of the most peripheral countries deteriorating into isolation. Our results have implications for both market participants and regulators.