Source code for inspyred.ec.variators.mutators

"""
    ===============
    :mod:`mutators`
    ===============
    
    .. Copyright 2012 Aaron Garrett

    .. Permission is hereby granted, free of charge, to any person obtaining a copy
       of this software and associated documentation files (the "Software"), to deal
       in the Software without restriction, including without limitation the rights
       to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       copies of the Software, and to permit persons to whom the Software is
       furnished to do so, subject to the following conditions:

    .. The above copyright notice and this permission notice shall be included in
       all copies or substantial portions of the Software.

    .. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
       THE SOFTWARE.       
        
    .. module:: mutators
    .. moduleauthor:: Aaron Garrett <garrett@inspiredintelligence.io>
"""
import copy
import functools
    
    
[docs] def mutator(mutate): """Return an inspyred mutator function based on the given function. This function generator takes a function that operates on only one candidate to produce a single mutated candidate. The generator handles the iteration over each candidate in the set to be mutated. The given function ``mutate`` must have the following signature:: mutant = mutate(random, candidate, args) This function is most commonly used as a function decorator with the following usage:: @mutator def mutate(random, candidate, args): # Implementation of mutation pass The generated function also contains an attribute named ``single_mutation`` which holds the original mutation function. In this way, the original single-candidate function can be retrieved if necessary. """ @functools.wraps(mutate) def inspyred_mutator(random, candidates, args): mutants = [] for i, cs in enumerate(candidates): mutants.append(mutate(random, cs, args)) return mutants inspyred_mutator.single_mutation = mutate return inspyred_mutator
[docs] @mutator def bit_flip_mutation(random, candidate, args): """Return the mutants produced by bit-flip mutation on the candidates. This function performs bit-flip mutation. If a candidate solution contains non-binary values, this function leaves it unchanged. .. Arguments: random -- the random number generator object candidate -- the candidate solution args -- a dictionary of keyword arguments Optional keyword arguments in args: - *mutation_rate* -- the rate at which mutation is performed (default 0.1) The mutation rate is applied on a bit by bit basis. """ rate = args.setdefault('mutation_rate', 0.1) mutant = copy.copy(candidate) if len(mutant) == len([x for x in mutant if x in [0, 1]]): for i, m in enumerate(mutant): if random.random() < rate: mutant[i] = (m + 1) % 2 return mutant
[docs] @mutator def random_reset_mutation(random, candidate, args): """Return the mutants produced by randomly choosing new values. This function performs random-reset mutation. It assumes that candidate solutions are composed of discrete values. This function makes use of the bounder function as specified in the EC's ``evolve`` method, and it assumes that the bounder contains an attribute called *values* (which is true for instances of ``DiscreteBounder``). The mutation moves through a candidate solution and, with rate equal to the *mutation_rate*, randomly chooses a value from the set of allowed values to be used in that location. Note that this value may be the same as the original value. .. Arguments: random -- the random number generator object candidate -- the candidate solution args -- a dictionary of keyword arguments Optional keyword arguments in args: - *mutation_rate* -- the rate at which mutation is performed (default 0.1) The mutation rate is applied on an element by element basis. """ bounder = args['_ec'].bounder try: values = bounder.values except AttributeError: values = None if values is not None: rate = args.setdefault('mutation_rate', 0.1) mutant = copy.copy(candidate) for i, m in enumerate(mutant): if random.random() < rate: mutant[i] = random.choice(values) return mutant else: return candidate
[docs] @mutator def scramble_mutation(random, candidate, args): """Return the mutants created by scramble mutation on the candidates. This function performs scramble mutation. It randomly chooses two locations along the candidate and scrambles the values within that slice. .. Arguments: random -- the random number generator object candidate -- the candidate solution args -- a dictionary of keyword arguments Optional keyword arguments in args: - *mutation_rate* -- the rate at which mutation is performed (default 0.1) The mutation rate is applied to the candidate as a whole (i.e., it either mutates or it does not, based on the rate). """ rate = args.setdefault('mutation_rate', 0.1) if random.random() < rate: size = len(candidate) p = random.randint(0, size-1) q = random.randint(0, size-1) p, q = min(p, q), max(p, q) s = candidate[p:q+1] random.shuffle(s) return candidate[:p] + s[::-1] + candidate[q+1:] else: return candidate
[docs] @mutator def inversion_mutation(random, candidate, args): """Return the mutants created by inversion mutation on the candidates. This function performs inversion mutation. It randomly chooses two locations along the candidate and reverses the values within that slice. .. Arguments: random -- the random number generator object candidate -- the candidate solution args -- a dictionary of keyword arguments Optional keyword arguments in args: - *mutation_rate* -- the rate at which mutation is performed (default 0.1) The mutation rate is applied to the candidate as a whole (i.e., it either mutates or it does not, based on the rate). """ rate = args.setdefault('mutation_rate', 0.1) if random.random() < rate: size = len(candidate) p = random.randint(0, size-1) q = random.randint(0, size-1) p, q = min(p, q), max(p, q) s = candidate[p:q+1] return candidate[:p] + s[::-1] + candidate[q+1:] else: return candidate
[docs] @mutator def gaussian_mutation(random, candidate, args): """Return the mutants created by Gaussian mutation on the candidates. This function performs Gaussian mutation. This function makes use of the bounder function as specified in the EC's ``evolve`` method. .. Arguments: random -- the random number generator object candidate -- the candidate solution args -- a dictionary of keyword arguments Optional keyword arguments in args: - *mutation_rate* -- the rate at which mutation is performed (default 0.1) - *gaussian_mean* -- the mean used in the Gaussian function (default 0) - *gaussian_stdev* -- the standard deviation used in the Gaussian function (default 1) The mutation rate is applied on an element by element basis. """ mut_rate = args.setdefault('mutation_rate', 0.1) mean = args.setdefault('gaussian_mean', 0.0) stdev = args.setdefault('gaussian_stdev', 1.0) bounder = args['_ec'].bounder mutant = copy.copy(candidate) for i, m in enumerate(mutant): if random.random() < mut_rate: mutant[i] += random.gauss(mean, stdev) mutant = bounder(mutant, args) return mutant
[docs] @mutator def nonuniform_mutation(random, candidate, args): """Return the mutants produced by nonuniform mutation on the candidates. The function performs nonuniform mutation as specified in (Michalewicz, "Genetic Algorithms + Data Structures = Evolution Programs," Springer, 1996). This function also makes use of the bounder function as specified in the EC's ``evolve`` method. .. note:: This function **requires** that *max_generations* be specified in the *args* dictionary. Therefore, it is best to use this operator in conjunction with the ``generation_termination`` terminator. .. Arguments: random -- the random number generator object candidate -- the candidate solution args -- a dictionary of keyword arguments Required keyword arguments in args: - *max_generations* -- the maximum number of generations for which evolution should take place Optional keyword arguments in args: - *mutation_strength* -- the strength of the mutation, where higher values correspond to greater variation (default 1) """ bounder = args['_ec'].bounder num_gens = args['_ec'].num_generations max_gens = args['max_generations'] strength = args.setdefault('mutation_strength', 1) exponent = (1.0 - num_gens / float(max_gens)) ** strength mutant = copy.copy(candidate) for i, (c, lo, hi) in enumerate(zip(candidate, bounder.lower_bound, bounder.upper_bound)): if random.random() <= 0.5: new_value = c + (hi - c) * (1.0 - random.random() ** exponent) else: new_value = c - (c - lo) * (1.0 - random.random() ** exponent) mutant[i] = new_value return mutant