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CPS1889 Subanar
                  SRWNN.  The  forecast  value  was  obtained  by  aggregating  process  for  all
                  subseries.
                      Inspired by those previous study, we proposed a hybrid NN method by
                  combining NN with singular spectrum analysis (SSA). In the case of forecasting
                  value, it is obtained from an ensemble of neural network models for several
                  components that are determined based on SSA decomposition.
                      The  aim  of  this  study  is  to  show  that  the  proposed  hybrid  approach
                  improves the forecasting accuracy comparing with results obtained from the
                  SSA with linear recurrent formula (LRF) and single NN. We select an hourly
                  electricity load series as the case study to lead that the method is able to solve
                  such a complex series forecasting problem.

                  2.  Methodology
                      The methods we use in this work are briefly presented below.

                  2.1. SSA decomposition
                      As declared in many references, i.e. Elsner (2002), Golyandina & Zhigljavsky
                  (2013), Golyandina, Nekrutkin, & Zhigljavsky (2001), and Hassani (2007), SSA
                  is  a  decomposition  tool  that  consists  of  four  steps,  namely  embedding,
                  singular value decomposition (SVD), grouping and diagonal averaging. The
                  detail discussion for the four steps can be found in Golyandina & Zhigljavsky
                  (2013). The two important things in SSA that we need to pay attention are the
                  window length and the grouping selection. In selecting the window length we
                  can take a value that is proportional to the seasonal period but no more than
                  a half of the sample size (Golyandina, 2010). Steps in SSA decomposition are
                  displayed in Figure 1.
























                                     Figure 1: Steps in SSA decomposition


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