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学ぶ Challenge: Build a Genetic Algorithm | Genetic Algorithms
Bio-Inspired Algorithms with Python
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bookChallenge: Build a Genetic Algorithm

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You are tasked with implementing the main loop of a genetic algorithm to find the maximum value of a mathematical function. The function to optimize is a simple parabola: f(x) = -(x - 3)² + 10. This function has a clear peak at x = 3, where its value is 10.

All the helper functions (init_population, fitness_function, tournament_selection, arithmetic_crossover, mutate) and the main loop structure are provided for you.

Your task is to fill in the core logic of the evolutionary process:

  1. Inside the main for loop, you must first evaluate the entire population by applying the fitness_function to each individual. Store these scores in the fitness list.
  2. Find the index of the best-performing individual in the current generation and store it in gen_best_idx. (Hint: np.argmax() is useful here).
  3. Inside the while len(new_population) < POP_SIZE: loop, you must create a new individual by:
    • Selecting parent1 using the tournament_selection function.
    • Selecting parent2 using the tournament_selection function.
    • Creating a child by combining the parents with the arithmetic_crossover function.
    • Applying variation to the child using the mutate function.
  4. After the while loop, replace the old population with the new_population to complete the generation.

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