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CPS2011 Dominique H. et al.
                      current weight vector  ():   (  +  1) =  () + ℎ  ()[() −   ()] ,
                                                   
                                             
                                                                 
                                                                                       
                                                                         
                      where ℎ () is a neighbourhood function,  represents the winning node.
                             
                      The  simplest  neighbourhood  function  is  a  monotonically  decreasing
                                                          −(,)
                      Gaussian  function:  ℎ () =   ∗  exp(  2 () ) ,  where    represents  the
                                           
                                                            2
                      learning rate, and () is the width of the kernel.

                   Figure 1: SOM with 2 - D Input, 3 x 3 Output, obtamed from “DATA MINING
                                 Concepts, Models, Methods, and Algorithms”




















                  3.   Results
                      The data were sourced from Bloomberg for the 67 consumer discretionary
                  firms listed on the S&P 500 for the years 2006-2016. During the data pre-
                  processing stage, it was decided to consider 27 firms with 2006-16 as the time-
                  window and 19 financial ratios since it is prudent to not impute missing values
                  in a financial time-series, which can display unusual jumps. The 11-year period
                  covers  at  least  one  full  economic  cycle  and  encompasses  the  sub-prime
                  period.
                      The first-step involved building a confirmatory factor analysis (CFA) model.
                  Nineteen indicators were used initially and were pruned to thirteen listed in
                  Table 1 after removing variables during an iterative procedure. The final CFA
                  model is displayed in Figure 2. The SmartPLS 2.0 package was used to carry
                  out this analysis.
                      As shown in Figure 2, we observe a positive association between liquidity
                  and profitability, and we see that profitability decreases as activity or debt
                  increases. Eventually, profitability positively contributes to the market factor.





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