EXTRACTING THE RELEVANT DELAYS IN TIME SERIES MODELLING ======================================================= Cyril Goutte Department of Mathematical Modeling Technical University of Denmark - Bygn. 321 DK-2800 Lyngby, Denmark Abstract. In this contribution, we suggest a convenient way to use generalisation error to extract the relevant delays from a time- varying process, i.e. the delays that lead to the best prediction performance. We design a generalisation-based algorithm that takes its inspiration from traditional variable selection, and more precisely stepwise forward selection. The method is compared to other forward selection schemes, as well as to a non-parametric tests aimed at estimating the embedding dimension of time series. The final application extends these results to the efficient estimation of FIR filters on some real data. This is the final paper, to appear in: Neural Networks for Signal Processing VII -- Proceedings of the 1997 IEEE Workshop, Florida.