MH-P2/src/genetic_algorithm.py

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from numpy import sum, append, arange, delete, where
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from numpy.random import randint, choice, shuffle
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from pandas import DataFrame
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from math import ceil
from functools import partial
from multiprocessing import Pool
from preprocessing import parse_file
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def get_row_distance(source, destination, data):
row = data.query(
"""(source == @source and destination == @destination) or \
(source == @destination and destination == @source)"""
)
return row["distance"].values[0]
def compute_distance(element, individual, data):
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accumulator = 0
distinct_elements = individual.query(f"point != {element}")
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for _, item in distinct_elements.iterrows():
accumulator += get_row_distance(
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source=element, destination=item.point, data=data
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)
return accumulator
def generate_individual(n, m, data):
individual = DataFrame(columns=["point", "distance", "fitness"])
individual["point"] = choice(n, size=m, replace=False)
individual["distance"] = individual["point"].apply(
func=compute_distance, individual=individual, data=data
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)
return individual
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def evaluate_individual(individual, data):
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fitness = []
genotype = individual.point.values
distances = data.query(f"source in @genotype and destination in @genotype")
for item in genotype[:-1]:
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element_df = distances.query(f"source == {item} or destination == {item}")
max_distance = element_df["distance"].astype(float).max()
fitness = append(arr=fitness, values=max_distance)
distances = distances.query(f"source != {item} and destination != {item}")
individual["fitness"] = sum(fitness)
return individual
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def select_distinct_genes(matching_genes, parents, m):
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first_parent = parents[0].query("point not in @matching_genes")
second_parent = parents[1].query("point not in @matching_genes")
cutoff = randint(len(first_parent.point.values))
first_parent_genes = first_parent.point.values[cutoff:]
second_parent_genes = second_parent.point.values[:cutoff]
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return first_parent_genes, second_parent_genes
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def select_random_genes(matching_genes, parents, m):
random_parent = parents[randint(len(parents))]
distinct_indexes = delete(arange(m), matching_genes)
genes = random_parent.point.iloc[distinct_indexes].values
shuffle(genes)
return genes
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def repair_offspring(offspring, parents, m):
while len(offspring) != m:
if len(offspring) > m:
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best_index = offspring["distance"].idxmax()
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offspring.drop(index=best_index, inplace=True)
elif len(offspring) < m:
random_parent = parents[randint(len(parents))]
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while True:
best_index = random_parent["distance"].idxmax()
best_point = random_parent["point"].loc[best_index]
random_parent.drop(index=best_index, inplace=True)
if not any(offspring["point"].isin([best_point])):
break
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offspring = offspring.append(
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{"point": best_point, "distance": 0, "fitness": 0}, ignore_index=True
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)
return offspring
def get_matching_genes(parents):
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first_parent = parents[0].point.values
second_parent = parents[1].point.values
return where(first_parent == second_parent)[0]
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def populate_offspring(values):
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offspring = DataFrame(columns=["point", "distance", "fitness"])
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for element in values:
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aux = DataFrame(columns=["point", "distance", "fitness"])
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aux["point"] = element
offspring = offspring.append(aux)
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offspring["distance"] = 0
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offspring["fitness"] = 0
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offspring = offspring[1:]
return offspring
def uniform_crossover(parents, m):
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matching_genes = get_matching_genes(parents)
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first_genes, second_genes = select_distinct_genes(matching_genes, parents, m)
offspring = populate_offspring(values=[matching_genes, first_genes, second_genes])
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viable_offspring = repair_offspring(offspring, parents, m)
return viable_offspring
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def position_crossover(parents, m):
matching_genes = get_matching_genes(parents)
shuffled_genes = select_random_genes(matching_genes, parents, m)
first_offspring = populate_offspring(values=[matching_genes, shuffled_genes])
second_offspring = populate_offspring(values=[matching_genes, shuffled_genes])
return [first_offspring, second_offspring]
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def crossover(mode, parents, m):
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split_parents = [parents[i : i + 2] for i in range(0, len(parents), 2)]
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if mode == "uniform":
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crossover_func = partial(uniform_crossover, m=m)
else:
crossover_func = partial(position_crossover, m=m)
offspring = [*map(crossover_func, split_parents)]
return offspring
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def element_in_dataframe(individual, element):
duplicates = individual.query(f"point == {element}")
return not duplicates.empty
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def select_new_gene(individual, n):
while True:
new_gene = randint(n)
if not element_in_dataframe(individual=individual, element=new_gene):
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return new_gene
def mutate(population, n, probability=0.001):
expected_mutations = len(population) * n * probability
individuals = []
genes = []
for _ in range(ceil(expected_mutations)):
individuals.append(randint(n))
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current_individual = individuals[-1]
genes.append(population[current_individual].sample().index)
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for ind, gen in zip(individuals, genes):
individual = population[ind]
individual["point"].iloc[gen] = select_new_gene(individual, n)
individual["distance"].iloc[gen] = 0
return population
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def tournament_selection(m, population):
individuals = [population[randint(m)] for _ in range(2)]
best_index = population.index(max(population, key=lambda x: all(x.fitness)))
return individuals[best_index]
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def generational_replacement(previous_population, current_population):
new_population = current_population
best_previous_individual = max(previous_population, key=lambda x: all(x.fitness))
if best_previous_individual not in new_population:
worst_index = new_population.index(
min(new_population, key=lambda x: all(x.fitness))
)
new_population[worst_index] = best_previous_individual
return new_population
def get_best_elements(population):
first_index = population.index(max(population, key=lambda x: all(x.fitness)))
population.pop(first_index)
second_index = population.index(max(population, key=lambda x: all(x.fitness)))
return first_index, second_index
def get_worst_elements(population):
first_index = population.index(min(population, key=lambda x: all(x.fitness)))
population.pop(first_index)
second_index = population.index(min(population, key=lambda x: all(x.fitness)))
return first_index, second_index
def stationary_replacement(prev_population, current_population):
new_population = prev_population
worst_indexes = get_worst_elements(prev_population)
best_indexes = get_best_elements(current_population)
for worst, best in zip(worst_indexes, best_indexes):
if current_population[best].fitness > prev_population[worst].fitness:
new_population[worst] = current_population[best]
return new_population
def replace_population(prev_population, current_population, mode):
if mode == "generational":
return generational_replacement(prev_population, current_population)
return stationary_replacement(prev_population, current_population)
def evaluate_population(population, data, cores=4):
fitness_func = partial(evaluate_individual, data=data)
with Pool(cores) as pool:
evaluated_population = pool.map(fitness_func, population)
return evaluated_population
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def select_new_population(population, n, m, mode):
if mode == "generational":
parents = [tournament_selection(m, population) for _ in range(n)]
else:
parents = [tournament_selection(m, population) for _ in range(2)]
return parents
def genetic_algorithm(n, m, data, mode, max_iterations=100000):
population = [generate_individual(n, m, data) for _ in range(n)]
population = evaluate_population(population, data)
for _ in range(max_iterations):
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parents = select_new_population(population, n, m, mode)
n, m, data = parse_file("data/GKD-c_11_n500_m50.txt")
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genetic_algorithm(n=10, m=5, data=data, mode="generational", max_iterations=1)