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Implement genetic algorithm for optimizing continuous functions #11670
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,7 +1,8 @@ | ||
| import random | ||
| import numpy as np | ||
| import random | ||
| from concurrent.futures import ThreadPoolExecutor | ||
| | ||
| # Parameters | ||
| N_POPULATION = 100 # Population size | ||
| N_GENERATIONS = 500 # Maximum number of generations | ||
| N_SELECTED = 50 # Number of parents selected for the next generation | ||
| | @@ -9,8 +10,9 @@ | |
| CROSSOVER_RATE = 0.8 # Probability of crossover | ||
| SEARCH_SPACE = (-10, 10) # Search space for the variables | ||
| | ||
| # Random number generator | ||
| rng = np.random.default_rng() | ||
| | ||
| # Genetic Algorithm for Function Optimization | ||
| class GeneticAlgorithm: | ||
| def __init__( | ||
| There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. Please provide return type hint for the function: | ||
| self, | ||
| | @@ -35,11 +37,9 @@ | |
| self.population = self.initialize_population() | ||
| | ||
| def initialize_population(self): | ||
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| # Generate random initial population within the search space | ||
| # Generate random initial population within the search space using the generator | ||
| return [ | ||
| np.random.uniform( | ||
| low=self.bounds[i][0], high=self.bounds[i][1], size=self.dim | ||
| ) | ||
| rng.uniform(low=self.bounds[i][0], high=self.bounds[i][1], size=self.dim) | ||
| for i in range(self.population_size) | ||
| ] | ||
| | ||
| | @@ -48,14 +48,10 @@ | |
| value = self.function(*individual) | ||
| return value if self.maximize else -value # If minimizing, invert the fitness | ||
| | ||
| def select_parents(self): | ||
| # Rank individuals based on fitness and select top individuals for mating | ||
| scores = [ | ||
| (individual, self.fitness(individual)) for individual in self.population | ||
| ] | ||
| scores.sort(key=lambda x: x[1], reverse=True) | ||
| selected = [ind for ind, _ in scores[:N_SELECTED]] | ||
| return selected | ||
| def select_parents(self, population_score): | ||
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| # Select top N_SELECTED parents based on fitness | ||
| population_score.sort(key=lambda x: x[1], reverse=True) | ||
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| return [ind for ind, _ in population_score[:N_SELECTED]] | ||
| | ||
| def crossover(self, parent1, parent2): | ||
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| # Perform uniform crossover | ||
| | @@ -67,16 +63,28 @@ | |
| return parent1, parent2 | ||
| | ||
| def mutate(self, individual): | ||
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| # Apply mutation to an individual with some probability | ||
| # Apply mutation to an individual using the new random generator | ||
| for i in range(self.dim): | ||
| if random.random() < self.mutation_prob: | ||
| individual[i] = np.random.uniform(self.bounds[i][0], self.bounds[i][1]) | ||
| individual[i] = rng.uniform(self.bounds[i][0], self.bounds[i][1]) | ||
| return individual | ||
| | ||
| def evaluate_population(self): | ||
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| # Multithreaded evaluation of population fitness | ||
| with ThreadPoolExecutor() as executor: | ||
| return list(executor.map(lambda ind: (ind, self.fitness(ind)), self.population)) | ||
| | ||
| def evolve(self): | ||
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| for generation in range(self.generations): | ||
| # Select parents based on fitness | ||
| parents = self.select_parents() | ||
| # Evaluate population fitness (multithreaded) | ||
| population_score = self.evaluate_population() | ||
| | ||
| # Check the best individual | ||
| best_individual = max(population_score, key=lambda x: x[1])[0] | ||
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| best_fitness = self.fitness(best_individual) | ||
| | ||
| # Select parents for next generation | ||
| parents = self.select_parents(population_score) | ||
| next_generation = [] | ||
| | ||
| # Generate offspring using crossover and mutation | ||
| | @@ -87,42 +95,33 @@ | |
| next_generation.append(self.mutate(child2)) | ||
| | ||
| # Ensure population size remains the same | ||
| self.population = next_generation[: self.population_size] | ||
| | ||
| # Track the best solution so far | ||
| best_individual = max(self.population, key=self.fitness) | ||
| best_fitness = self.fitness(best_individual) | ||
| self.population = next_generation[:self.population_size] | ||
| | ||
| if generation % 10 == 0: | ||
| print( | ||
| f"Generation {generation}: Best Fitness = {best_fitness}, Best Individual = {best_individual}" | ||
| ) | ||
| print(f"Generation {generation}: Best Fitness = {best_fitness}") | ||
| | ||
| # Return the best individual found | ||
| return max(self.population, key=self.fitness) | ||
| return best_individual | ||
| | ||
| | ||
| # Define a sample function to optimize (e.g., minimize the sum of squares) | ||
| # Example target function for optimization | ||
| def target_function(x, y): | ||
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| return x**2 + y**2 # Example: simple parabolic surface (minimization) | ||
| return x**2 + y**2 # Simple parabolic surface (minimization) | ||
| | ||
| | ||
| # Set bounds for the variables (x, y) | ||
| bounds = [(-10, 10), (-10, 10)] # Both x and y range from -10 to 10 | ||
| | ||
| # Instantiate the genetic algorithm | ||
| # Instantiate and run the genetic algorithm | ||
| ga = GeneticAlgorithm( | ||
| function=target_function, | ||
| bounds=bounds, | ||
| population_size=N_POPULATION, | ||
| generations=N_GENERATIONS, | ||
| mutation_prob=MUTATION_PROBABILITY, | ||
| crossover_rate=CROSSOVER_RATE, | ||
| maximize=False, # Set to False for minimization | ||
| maximize=False # Minimize the function | ||
| ) | ||
| | ||
| # Run the genetic algorithm and find the optimal solution | ||
| best_solution = ga.evolve() | ||
| | ||
| print(f"Best solution found: {best_solution}") | ||
| print(f"Best fitness (minimum value of function): {target_function(*best_solution)}") | ||
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