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crowding_ga.py
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crowding_ga.py
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from LinReg import LinReg
from sklearn import datasets
import numpy as np
import random
import math
import matplotlib.pyplot as plt
linear_regression = LinReg()
# Parameters
# MC = Mutation chance, PHI= Generalized crowding parameter
MC = 0.0
MR = 0.3
PHI = 0.0
CP = 0.7
FITNESS = "SINE"
BITSTRING_SIZE=20
def read_data():
rows = []
ys = []
f = open('new.data')
for line in f:
tokens = line.split(',')
tokens = [token.replace(' ', '').replace('\n', '') for token in tokens]
rows.append(tokens[:-1])
ys.append(float(tokens[-1]))
rows = np.asarray(rows)
mask = (rows=='?')
idx = mask.any(axis=0)
rows = rows[:,~idx]
rows = rows.astype('float')
for i in range(len(idx)):
if idx[i]:
if i>3:
print(str(i+1) + ',', end='')
else:
print(str(i) + ',', end='')
f.close()
return rows, ys
def save_data(x,y):
f = open('new.data', 'w')
for i in range(len(x)):
line = ''
for j in range(len(x[i])):
line+=str(x[i][j])+','
line+=str(y[i])
f.write(line + '\n')
f.close()
x,y = read_data()
print(1/linear_regression.get_fitness(x,y, random_state=42))
#save_data(x,y)
print(x.shape)
class Chromosome():
def __init__(self, bitstring):
self.bitstring = bitstring
self.fitness = 0
def f(x):
x_t = x/(10*(2**10))
return math.sin(x_t)
def get_fitness(individual):
global x
if individual.fitness!=0:
return individual.fitness
if FITNESS=="DATASET":
selected_features = linear_regression.get_columns(x, individual.bitstring)
individual.fitness = 1/linear_regression.get_fitness(selected_features,y, random_state=42)
elif FITNESS=="SINE":
individual.fitness = f(int(individual.bitstring,2))
return individual.fitness
def generate_population(pop_size, i_size):
# Generates a population of pop_size chromosomes containing bitstrings of size i_size
pop = []
for i in range(pop_size):
c = Chromosome("{0:b}".format(random.getrandbits(i_size)).zfill(i_size))
pop.append(c)
return pop
def selection(pop, parent_amount):
fitness_scores = []
for i in pop:
fitness_scores.append(get_fitness(i))
# Calculate scaled scores
scores = np.asarray(fitness_scores)
scores/=(np.sum(scores)+1e-20)
parent_list = []
parent_score = list(zip(pop, scores))
# Select parents with probability of their score
for i in range(parent_amount):
random_variable = random.random()
for parent, score in parent_score:
random_variable-=score
if random_variable<0:
parent_list.append(parent)
break
return parent_list
def find_best(c1,c2):
# Generalized crowding tournament
f1 = get_fitness(c1)
f2 = get_fitness(c2)
r = random.random()
if f1>f2:
if f1/(f1+PHI*f2) >= r:
return c1
else:
return c2
else:
if PHI*f1/(PHI*f1+f2) >= r:
return c1
else:
return c2
def d(b1,b2):
# Simple bitstring distance
counter = 0
for i in range(len(b1)):
counter+=(int(b1[i])-int(b2[i]))**2
return counter
def local_tourn(c1,c2,p1,p2):
d11 = d(c1.bitstring, p1.bitstring)
d22 = d(c2.bitstring, p2.bitstring)
d21 = d(c2.bitstring, p1.bitstring)
d12 = d(c1.bitstring, p2.bitstring)
if d11+d22 < d21+d12:
r1 = find_best(c1,p1)
r2 = find_best(c2,p2)
else:
r1 = find_best(c1,p2)
r2 = find_best(c2,p1)
return r1, r2
def crossover(p1,p2, crowding=False):
crossover_point = random.randint(0, len(p1.bitstring))
c1_value = ''
for i in range(len(p1.bitstring)):
r = random.random()
if r>CP:
c1_value+=p1.bitstring[i]
else:
c1_value+=p2.bitstring[i]
c2_value = ''
for i in range(len(p2.bitstring)):
r = random.random()
if r<CP:
c2_value+=p1.bitstring[i]
else:
c2_value+=p2.bitstring[i]
c1_value = mutation(c1_value)
c2_value = mutation(c2_value)
c1 = Chromosome(c1_value)
c2 = Chromosome(c2_value)
if crowding:
c1,c2 = local_tourn(c1,c2,p1,p2)
return c1,c2
def old_mutation(c):
c = list(c)
r = random.random()
if r>MC:
return "".join(c)
for i in range(0,len(c)):
m_index = i
r = random.random()
if r<MR:
if c[m_index]=='1':
c[m_index] = '0'
else:
c[m_index] = '1'
r = random.random()
return "".join(c)
def mutation(c):
m_index = random.randint(0, len(c)-1)
c = list(c)
r = random.random()
if r>MC:
return "".join(c)
if c[m_index]=='1':
c[m_index] = '0'
else:
c[m_index] = '1'
return "".join(c)
def mating(parents, crowding=False):
children = []
random.shuffle(parents)
for i in range(int(len(parents)/2)):
p1 = (parents[2*i])
p2 = (parents[2*i+1])
c1, c2=crossover(p1,p2, crowding=crowding)
children.extend((c1,c2))
return children
def survival(pop, pop_size):
fitness_scores = []
for i in pop:
fitness_scores.append(get_fitness(i))
scores = np.asarray(fitness_scores)
parents = list(zip(pop, scores))
parents.sort(key=lambda x: x[1])
parents.reverse()
parents = parents[:pop_size]
return [parent[0] for parent in parents]
def get_entropy(bitstrings):
probabilities = []
for i in range(len(bitstrings[0])):
probabilities.append(0)
for bitstring in bitstrings:
probabilities[i]+=float(int(bitstring[i]))/len(bitstrings)
entropy=0
for pi in probabilities:
if pi!=0:
entropy-=pi*math.log(pi,2)
return entropy
def pop_entropy(population):
bitstrings = [ind.bitstring for ind in population]
return get_entropy(bitstrings)
def crowding_survival(children, parents):
new_pop = []
random.shuffle(children)
random.shuffle(parents)
for i in range(int(len(parents)/2)):
p1,p2 = local_tourn(children[2*i], children[2*i+1], parents[2*i], parents[2*i+1])
new_pop.append(p1)
new_pop.append(p2)
return new_pop
def genetic_insert(population, insertions):
for i in insertions:
scores = []
for p in population:
scores.append(d(i.bitstring,p.bitstring))
closest = np.argmin(scores)
if population[closest].fitness < i.fitness:
population[closest] = i
return population
def plot_sin(pop):
time = np.arange(0,128,0.1)
amp = np.sin(time)
x=[]
y=[]
for p in pop:
x.append(int(p.bitstring,2)/(10*(2**10)))
y.append(f(int(p.bitstring,2)))
plt.scatter(x,y, c='orange')
plt.plot(time, amp)
plt.title("Population plot")
plt.xlabel('x')
plt.ylabel('sin(x)')
plt.show()
def run_genetic(population, generations, crowding=False):
genotype_size=0
if FITNESS=="SINE":
genotype_size = BITSTRING_SIZE
elif FITNESS=="DATASET":
genotype_size= x.shape[1]
pop = generate_population(population, genotype_size)
best = []
averages = []
entropies = []
for i in range(generations):
if i%10 == 0:
print('Generation %d/%d' % (i, generations))
if crowding:
parents = pop
children = mating(parents, crowding=True)
elitism = survival(pop, 2)
pop = genetic_insert(children, elitism)
random.shuffle(pop)
else:
parents = selection(pop, parent_amount=population)
children = mating(parents)
pop =survival(pop+children, population)
if FITNESS=="SINE" and i%10==0:
plot_sin(pop)
entropy = pop_entropy(pop)
entropies.append(entropy)
fitnesses = [ind.fitness for ind in pop]
best.append(np.max(fitnesses))
averages.append(np.average(fitnesses))
return best, averages, entropies
print('Running crowding')
crowding_best, crowding_avg, entropy_crowding = run_genetic(70,85,crowding=True)
print('Running simple genetic algorithm')
simple_best, simple_avg, entropy_simple = run_genetic(70,85,crowding=False)
plt.plot(crowding_best, label="Deterministic Crowding")
plt.plot(simple_best, label="Simple genetic algorithm")
plt.legend(loc="best")
plt.title("Best fitness")
plt.show()
plt.plot(crowding_avg, label="Deterministic Crowding")
plt.plot(simple_avg, label="Simple genetic algorithm")
plt.legend(loc='best')
plt.title("Average fitness")
plt.show()
plt.plot(entropy_crowding, label='Deterministic Crowding')
plt.plot(entropy_simple, label='Simple Genetic Algorithm')
plt.legend(loc='best')
plt.title("Entropy measure")
plt.show()