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Immunology as a Metaphor for Computational ... - Napier University

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Chapter 6. A Self-Organising SDM — SOSDM 16643.5Mean recalled accuracy4342.54241.51000 2000 3000 4000 5000 6000 7000 8000 9000 10000Size of antigen dat<strong>as</strong>etFigure 6.12: The figure shows how mean recalled accuracy r varies with the size of theantigen dat<strong>as</strong>et Nthe algorithm. Experiments were repeated 50 times in each c<strong>as</strong>e. Figure 6.12 showsthe per<strong>for</strong>mance of SOSDM vs the size of the dat<strong>as</strong>et, with error-bars showing theminimum and maximum accuracy over the 50 experiments. Note that although thereis a slight downwards trend in mean recalled accuracy r, the value of r is always significantlygreater than the result that would be obtained using the best possible stringgeneralist, which would give r 40. T-tests show what there is a significant difference(p 0¦ 99) in the value of r obtained <strong>for</strong> N 1000 and that obtained when N 10¤ 000.¡6.6.4 Per<strong>for</strong>mance vs Length of AntigenA second series of experiments used dat<strong>as</strong>ets generated again from quarter-schema,this time of fixed size N=200 antigens. The length of the antigen L in each dat<strong>as</strong>et w<strong>as</strong>varied from 40 to 1000 in steps of 40. The best recalled accuracy r w<strong>as</strong> me<strong>as</strong>ured atthe end of 200 iterations of SOSDM, and the results averaged over 50 trials. Figure6.13 shows the results of these experiments; a comparison is made to the mean recallaccuracy that would be expected using the best possible single string generalist <strong>for</strong> eachvalue of L. The figure shows a direct correspondence between r and L — again, <strong>for</strong>every value of L , the value of r exceeds that expected using the single string generalist

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