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import random as rnd |
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import copy |
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from NiaPy.benchmarks.utility import Utility |
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__all__ = ['DifferentialEvolutionAlgorithm'] |
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class SolutionDE(object): |
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def __init__(self, D, LB, UB): |
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self.D = D |
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self.LB = LB |
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self.UB = UB |
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self.Solution = [] |
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self.Fitness = float('inf') |
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self.generateSolution() |
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def generateSolution(self): |
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self.Solution = [self.LB + (self.UB - self.LB) * rnd.random() for _i in range(self.D)] |
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View Code Duplication |
def evaluate(self): |
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self.Fitness = SolutionDE.FuncEval(self.D, self.Solution) |
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def repair(self): |
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for i in range(self.D): |
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if self.Solution[i] > self.UB: |
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self.Solution[i] = self.UB |
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if self.Solution[i] < self.LB: |
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self.Solution[i] = self.LB |
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def __eq__(self, other): |
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return self.Solution == other.Solution and self.Fitness == other.Fitness |
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class DifferentialEvolutionAlgorithm(object): |
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"""Differential evolution algorithm. |
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Date: 7. 2. 2018 |
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Authors : Uros Mlakar |
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License: MIT |
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Reference paper: Storn, Rainer, and Kenneth Price. "Differential evolution - a simple and |
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efficient heuristic for global optimization over continuous spaces." Journal of global |
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optimization 11.4 (1997): 341-359. |
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""" |
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# pylint: disable=too-many-instance-attributes |
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def __init__(self, D, NP, nFES, F, CR, benchmark): |
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"""**__init__(self, D, NP, nFES, F, CR, benchmark)**. |
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Arguments: |
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D {integer} -- dimension of problem |
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NP {integer} -- population size |
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nFES {integer} -- number of function evaluations |
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F {decimal} -- scaling factor |
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CR {decimal} -- crossover rate |
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benchmark {object} -- benchmark implementation object |
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Raises: |
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TypeError -- Raised when given benchmark function which does not exists. |
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""" |
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self.benchmark = Utility().get_benchmark(benchmark) |
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self.D = D # dimension of problem |
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self.Np = NP # population size |
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self.nFES = nFES # number of function evaluations |
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self.F = F # scaling factor |
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self.CR = CR # crossover rate |
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self.Lower = self.benchmark.Lower # lower bound |
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self.Upper = self.benchmark.Upper # upper bound |
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SolutionDE.FuncEval = staticmethod(self.benchmark.function()) |
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self.Population = [] |
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self.bestSolution = SolutionDE(self.D, self.Lower, self.Upper) |
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def evalPopulation(self): |
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for p in self.Population: |
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p.evaluate() |
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if p.Fitness < self.bestSolution.Fitness: |
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self.bestSolution = copy.deepcopy(p) |
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def initPopulation(self): |
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for _i in range(self.Np): |
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self.Population.append(SolutionDE(self.D, self.Lower, self.Upper)) |
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def generationStep(self, Population): |
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newPopulation = [] |
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for i in range(self.Np): |
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newSolution = SolutionDE(self.D, self.Lower, self.Upper) |
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r = rnd.sample(range(0, self.Np), 3) |
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while i in r: |
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r = rnd.sample(range(0, self.Np), 3) |
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jrand = int(rnd.random() * self.Np) |
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for j in range(self.D): |
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View Code Duplication |
if rnd.random() < self.CR or j == jrand: |
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newSolution.Solution[j] = Population[r[0]].Solution[j] + \ |
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self.F * (Population[r[1]].Solution[j] - Population[r[2]].Solution[j]) |
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else: |
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newSolution.Solution[j] = Population[i].Solution[j] |
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newSolution.repair() |
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newSolution.evaluate() |
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if newSolution.Fitness < self.bestSolution.Fitness: |
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self.bestSolution = copy.deepcopy(newSolution) |
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if newSolution.Fitness < self.Population[i].Fitness: |
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newPopulation.append(newSolution) |
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else: |
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newPopulation.append(Population[i]) |
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return newPopulation |
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def run(self): |
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self.initPopulation() |
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self.evalPopulation() |
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FEs = self.Np |
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while FEs <= self.nFES: |
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self.Population = self.generationStep(self.Population) |
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FEs += self.Np |
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return self.bestSolution.Fitness |
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