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Ie crossover gives faster convergence mutaon supplies

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Unformatted text preview: nts. •  P1=(0.6, 1.3), p2=(3.2,0.8) •  2 possible offspring: 4.88 –  S1: (0.6,0.8) –  S2: (3.2,1.3) 2.88 0.88 x2  ­5.12 s  ­3.12  ­ ­1.12 1.12 0.88  ­3.12  ­5.12 2.88 4.88 •  Can view the second parent as a guide to direct the first parent to search for beIer solu/on. x1 4 2/4/14 Crossover or Muta/on  ­ Con/nued •  Arithme/c crossover explores the space whose boundary is defined by the parents. 4.88 p2 x2 s2  ­5.12 p1 0.88  ­1.12 .12  ­0  ­3.12  ­5.12 At the early stage of evolu/on when the popula/on is more diverse, crossover acts like a global search operator. s1 2.88 x1 4.88 When the popula/on becomes more homogeneous, crossover acts like a local search operator. Crossover and Muta/on •  Each of them provides a different “heuris/c” to search the solu/on space. •  Roughly, guided by the 2nd parent, crossover produces with high probability individuals which, under the same condi/on, would be produced with low probability using muta/on. –  i.e. crossover gives faster convergence •  Muta/on supplies new gene/c materials to increase/maintain popula/on diversity. S1 and S2 are offspring produced by one ­point crossover on the previous slide. Crossover and Muta/on  ­ Con/nued •  In...
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