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I am reading through the NEAT paper. In parameter settings, page 15, there is:

In each generation, 25% of offspring resulted from mutation without crossover.

What does it mean?

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In genetic algorithms, mutation without crossover simply means that part of the population is randomly changed. In this case this is applied to 25% of the population.

The remaining 75% either remain unchanged (generally the best performing specimen), or will be combined with other specimen (using crossover). It's a bit more complex here, as the genome is connecting weights in networks, and they use 'species', where certain individuals are treated as separate groups from the rest of the population.

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