Forecast Reconciliation: A geometric view with new insights on probabilistic forecasting and bias correction - George Athanasopoulos (Monash University)
Wednesday 18 September 2019, 1:00pm to 2:00pm
Professor George Athanasopoulos from Monash University will present a seminar to the Management Science Deparment
Abstract: In this presentation a geometric interpretation will be developed for so-called reconciliation methodologies used to forecast time series that adhere to known linear constraints. In particular, a general framework is established nesting many existing popular reconciliation methods within the class of projections. This interpretation facilitates the derivation of novel results that explain why and how reconciliation via projection is guaranteed to improve forecast accuracy with respect to a specific class of loss functions. The result is also demonstrated empirically. Extensions to probabilistic forecasting with some empirical results will also be presented.The geometric interpretation is further used to provide a new proof that forecast reconciliation results in unbiased forecasts as long as the initial so-called base forecasts are also unbiased. Approaches for dealing with biased base forecasts are proposed and explored in an extensive empirical study on Australian tourism flows. Overall, the method of bias-correcting before carrying out reconciliation is shown to outperform alternatives that only bias-correct or only reconcile forecasts.
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