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Fixed bug in automatic epsilon lexicase, and added example.
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Eddie Pantridge
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Eddie Pantridge
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Sep 3, 2016
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# This file is part of EAP. | ||
# | ||
# EAP is free software: you can redistribute it and/or modify | ||
# it under the terms of the GNU Lesser General Public License as | ||
# published by the Free Software Foundation, either version 3 of | ||
# the License, or (at your option) any later version. | ||
# | ||
# EAP is distributed in the hope that it will be useful, | ||
# but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
# GNU Lesser General Public License for more details. | ||
# | ||
# You should have received a copy of the GNU Lesser General Public | ||
# License along with EAP. If not, see <http://www.gnu.org/licenses/>. | ||
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import operator | ||
import math | ||
import random | ||
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import numpy | ||
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from deap import algorithms | ||
from deap import base | ||
from deap import creator | ||
from deap import tools | ||
from deap import gp | ||
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# Define new functions | ||
def protectedDiv(left, right): | ||
try: | ||
return left / right | ||
except ZeroDivisionError: | ||
return 1 | ||
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pset = gp.PrimitiveSet("MAIN", 1) | ||
pset.addPrimitive(operator.add, 2) | ||
pset.addPrimitive(operator.sub, 2) | ||
pset.addPrimitive(operator.mul, 2) | ||
pset.addPrimitive(protectedDiv, 2) | ||
pset.addPrimitive(operator.neg, 1) | ||
pset.addPrimitive(math.cos, 1) | ||
pset.addPrimitive(math.sin, 1) | ||
pset.addEphemeralConstant("rand101", lambda: random.randint(-1,1)) | ||
pset.renameArguments(ARG0='x') | ||
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creator.create("FitnessMin", base.Fitness, weights=(-1.0,)) | ||
creator.create("Individual", gp.PrimitiveTree, fitness=creator.FitnessMin) | ||
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toolbox = base.Toolbox() | ||
toolbox.register("expr", gp.genHalfAndHalf, pset=pset, min_=1, max_=2) | ||
toolbox.register("individual", tools.initIterate, creator.Individual, toolbox.expr) | ||
toolbox.register("population", tools.initRepeat, list, toolbox.individual) | ||
toolbox.register("compile", gp.compile, pset=pset) | ||
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def evalSymbReg(individual, points): | ||
# Transform the tree expression in a callable function | ||
func = toolbox.compile(expr=individual) | ||
# Evaluate the mean squared error between the expression | ||
# and the real function : x**4 + x**3 + x**2 + x | ||
sqerrors = ((func(x) - x**4 - x**3 - x**2 - x)**2 for x in points) | ||
return math.fsum(sqerrors) / len(points), | ||
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toolbox.register("evaluate", evalSymbReg, points=[x/10. for x in range(-10,10)]) | ||
toolbox.register("select", tools.selAutomaticEpsilonLexicase) | ||
toolbox.register("mate", gp.cxOnePoint) | ||
toolbox.register("expr_mut", gp.genFull, min_=0, max_=2) | ||
toolbox.register("mutate", gp.mutUniform, expr=toolbox.expr_mut, pset=pset) | ||
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toolbox.decorate("mate", gp.staticLimit(key=operator.attrgetter("height"), max_value=17)) | ||
toolbox.decorate("mutate", gp.staticLimit(key=operator.attrgetter("height"), max_value=17)) | ||
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def main(): | ||
#random.seed(318) | ||
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pop = toolbox.population(n=300) | ||
hof = tools.HallOfFame(1) | ||
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stats_fit = tools.Statistics(lambda ind: ind.fitness.values) | ||
stats_size = tools.Statistics(len) | ||
mstats = tools.MultiStatistics(fitness=stats_fit, size=stats_size) | ||
mstats.register("avg", numpy.mean) | ||
mstats.register("std", numpy.std) | ||
mstats.register("min", numpy.min) | ||
mstats.register("max", numpy.max) | ||
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pop, log = algorithms.eaSimple(pop, toolbox, 0.5, 0.1, 40, stats=mstats, | ||
halloffame=hof, verbose=True) | ||
# print log | ||
return pop, log, hof | ||
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if __name__ == "__main__": | ||
main() |