MOrdReD: Memory-based Ordinal Regression Deep Neural Networks for Time Series Forecasting

Time series forecasting is ubiquitous in the modern world. Applications range from health care to astronomy, include climate modelling, financial trading and monitoring of critical engineering equipment. To offer value over this range of activities we must have models that not only provide accurate forecasts but that also quantify and adjust their uncertainty over time. Furthermore, such models must allow for multimodal, non-Gaussian behaviour that arises regularly in applied settings. In this work, we propose a novel, end-to-end deep learning method for time series forecasting. Crucially, our model allows the principled assessment of predictive uncertainty as well as providing rich information regarding multiple modes of future data values. Our approach not only provides an excellent predictive forecast, shadowing true future values, but also allows us to infer valuable information, such as the predictive distribution of the occurrence of critical events of interest, accurately and reliably even over long time horizons. We find the method outperforms other state-of-the-art algorithms, such as Gaussian Processes.