def eaSteadyState(toolbox, population, ngen, halloffame=None):
"""The is the steady-state evolutionary algorithm
"""
_logger.info("Start of evolution")
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in population if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
if halloffame is not None:
halloffame.update(population)
# Begin the generational process
for gen in range(ngen):
_logger.info("Evolving generation %i", gen)
p1, p2 = toolbox.select(population, 2)
p1 = toolbox.clone(p1)
p2 = toolbox.clone(p2)
toolbox.mate(p1, p2)
child = random.choice([p1, p2])
toolbox.mutate(child)
child.fitness.values = toolbox.evaluate(child)
if halloffame is not None:
halloffame.update(child)
# Select the next generation population
population[:] = toolbox.select(population + [child], len(population))
# Gather all the fitnesses in one list and print the stats
fits = [ind.fitness.values for ind in population]
fits_t = zip(*fits) # Transpose fitnesses for analysis
minimums = map(min, fits_t)
maximums = map(max, fits_t)
length = len(population)
sums = map(sum, fits_t)
sums2 = [sum(x*x for x in fit) for fit in fits_t]
means = [sum_ / length for sum_ in sums]
std_devs = [abs(sum2 / length - mean**2)**0.5 for sum2, mean in zip(sums2, means)]
_logger.debug("Min %s", ", ".join(map(str, minimums)))
_logger.debug("Max %s", ", ".join(map(str, maximums)))
_logger.debug("Avg %s", ", ".join(map(str, means)))
_logger.debug("Std %s", ", ".join(map(str, std_devs)))
_logger.info("End of (successful) evolution")
return population
def eaMuCommaLambda(toolbox, population, mu, lambda_, cxpb, mutpb, ngen, halloffame=None):
"""This is the :math:`(\mu~,~\lambda)` evolutionary algorithm. First,
the individuals having an invalid fitness are evaluated. Then, the
evolutionary loop begins by producing *lambda* offsprings from the
population, the offsprings are generated by a crossover, a mutation or a
reproduction proportionally to the probabilities *cxpb*, *mutpb* and
1 - (cxpb + mutpb). The offsprings are then evaluated and the next
generation population is selected **only** from the offsprings. Briefly,
the operators are applied as following ::
evaluate(population)
for i in range(ngen):
offsprings = generate_offsprings(population)
evaluate(offsprings)
population = select(offsprings)
.. note::
Both produced individuals from the crossover are put in the offspring
pool.
"""
assert lambda_ >= mu, "lambda must be greater or equal to mu."
assert (cxpb + mutpb) <= 1.0, ("The sum of the crossover and mutation"
"probabilities must be smaller or equal to 1.0.")
_logger.info("Start of evolution")
evaluations = 0
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in population if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
_logger.debug("Evaluated %i individuals", len(invalid_ind))
if halloffame is not None:
halloffame.update(population)
# Begin the generational process
for gen in range(ngen):
_logger.info("Evolving generation %i", gen)
evaluations = 0
offsprings = []
nb_offsprings = 0
while nb_offsprings < lambda_:
#for i in xrange(lambda_):
op_choice = random.random()
if op_choice < cxpb: # Apply crossover
ind1, ind2 = random.sample(population, 2)
ind1 = toolbox.clone(ind1)
ind2 = toolbox.clone(ind2)
toolbox.mate(ind1, ind2)
del ind1.fitness.values
del ind2.fitness.values
offsprings.append(ind1)
offsprings.append(ind2)
nb_offsprings += 2
elif op_choice < cxpb + mutpb: # Apply mutation
ind = random.choice(population) # select
ind = copy.deepcopy(ind) # clone
toolbox.mutate(ind)
del ind.fitness.values
offsprings.append(ind)
nb_offsprings += 1
else: # Apply reproduction
offsprings.append(random.choice(population))
nb_offsprings += 1
# Remove the exedant of offsprings
if nb_offsprings > lambda_:
del offsprings[lambda_:]
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in offsprings if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
_logger.debug("Evaluated %i individuals", len(invalid_ind))
if halloffame is not None:
halloffame.update(offsprings)
# Select the next generation population
population[:] = toolbox.select(offsprings, mu)
# Gather all the fitnesses in one list and print the stats
fits = [ind.fitness.values for ind in population]
fits_t = zip(*fits) # Transpose fitnesses for analysis
minimums = map(min, fits_t)
maximums = map(max, fits_t)
length = len(population)
sums = map(sum, fits_t)
sums2 = [sum(x*x for x in fit) for fit in fits_t]
means = [sum_ / length for sum_ in sums]
std_devs = [abs(sum2 / length - mean**2)**0.5 for sum2, mean in zip(sums2, means)]
#_logger.debug("Min %s", ", ".join(map(str, minimums)))
#_logger.debug("Max %s", ", ".join(map(str, maximums)))
#_logger.debug("Avg %s", ", ".join(map(str, means)))
#_logger.debug("Std %s", ", ".join(map(str, std_devs)))
_logger.info("End of (successful) evolution")
def eaSimple(toolbox, population, cxpb, mutpb, ngen, halloffame=None):
"""This algorithm reproduce the simplest evolutionary algorithm as
presented in chapter 7 of Back, Fogel and Michalewicz,
"Evolutionary Computation 1 : Basic Algorithms and Operators", 2000.
It uses :math:`\lambda = \kappa = \mu` and goes as follow.
It first initializes the population (:math:`P(0)`) by evaluating
every individual presenting an invalid fitness. Then, it enters the
evolution loop that begins by the selection of the :math:`P(g+1)`
population. Then the crossover operator is applied on a proportion of
:math:`P(g+1)` according to the *cxpb* probability, the resulting and the
untouched individuals are placed in :math:`P'(g+1)`. Thereafter, a
proportion of :math:`P'(g+1)`, determined by *mutpb*, is
mutated and placed in :math:`P''(g+1)`, the untouched individuals are
transfered :math:`P''(g+1)`. Finally, those new individuals are evaluated
and the evolution loop continues until *ngen* generations are completed.
Briefly, the operators are applied in the following order ::
evaluate(population)
for i in range(ngen):
offsprings = select(population)
offsprings = mate(offsprings)
offsprings = mutate(offsprings)
evaluate(offsprings)
population = offsprings
"""
_logger.info("Start of evolution")
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in population if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
_logger.debug("Evaluated %i individuals", len(invalid_ind))
if halloffame is not None:
halloffame.update(population)
# Begin the generational process
for gen in range(ngen):
_logger.info("Evolving generation %i", gen)
# Select the next generation individuals
offsprings = toolbox.select(population, n=len(population))
# Clone the selected individuals
offsprings = map(toolbox.clone, offsprings)
# Apply crossover and mutation on the offsprings
for ind1, ind2 in zip(offsprings[::2], offsprings[1::2]):
if random.random() < cxpb:
toolbox.mate(ind1, ind2)
del ind1.fitness.values
del ind2.fitness.values
for ind in offsprings:
if random.random() < mutpb:
toolbox.mutate(ind)
del ind.fitness.values
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in offsprings if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
_logger.debug("Evaluated %i individuals", len(invalid_ind))
if halloffame is not None:
halloffame.update(offsprings)
# The population is entirely replaced by the offsprings
population[:] = offsprings
print toolbox.info(population)
_logger.info("End of (successful) evolution")
return population
def eaSimpleMany(toolbox, population, cxpb, mutpb, ngen, halloffame=None):
"""
This algorithm is based on the Simple algorithm above, but designed
to return as many perfect individuals as possible, given an upper bound.
"""
_logger.info("Start of evolution")
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in population if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
_logger.debug("Evaluated %i individuals", len(invalid_ind))
if halloffame is not None:
halloffame.update(population)
perfect = set()
# Begin the generational process
for gen in range(ngen):
_logger.info("Evolving generation %i", gen)
# Select the next generation individuals
offsprings = toolbox.select(population, n=len(population))
# Clone the selected individuals
offsprings = map(toolbox.clone, offsprings)
# Apply crossover and mutation on the offsprings
for ind1, ind2 in zip(offsprings[::2], offsprings[1::2]):
if random.random() < cxpb:
toolbox.mate(ind1, ind2)
del ind1.fitness.values
del ind2.fitness.values
for ind in offsprings:
if random.random() < mutpb:
toolbox.mutate(ind)
del ind.fitness.values
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in offsprings if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
_logger.debug("Evaluated %i individuals", len(invalid_ind))
if halloffame is not None:
halloffame.update(offsprings)
# The population is entirely replaced by the offsprings
population[:] = offsprings
for ind in population:
if ind.fitness.values[0] == toolbox.perfect():
perfect.add(ind)
print toolbox.info(population)
_logger.info("End of (successful) evolution")
return population