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遗传算法 Genetic Algorithm

代码星球阅读(2648)2020-06-13 收藏0次评论

2017-12-17 19:12:10

一、Evolutionary Algorithm

进化算法,也被成为是演化算法(evolutionary algorithms,简称EAs),它不是一个具体的算法,而是一个“算法簇”。进化算法的产生的灵感借鉴了大自然中生物的进化操作,它一般包括基因编码,种群初始化,交叉变异算子,经营保留机制等基本操作。与传统的基于微积分的方法和穷举方法等优化算法相比,进化计算是一种成熟的具有高鲁棒性和广泛适用性的全局优化方法,具有自组织、自适应、自学习的特性,能够不受问题性质的限制,有效地处理传统优化算法难以解决的复杂问题(比如NP难优化问题)。

除了上述优点以外,进化算法还经常被用到多目标问题的优化求解中来,我们一般称这类进化算法为进化多目标优化算法(MOEAs)。目前进化计算的相关算法已经被广泛用于参数优化、工业调度、资源分配、复杂网络分析等领域。

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" />

 

二、Genetic Algorithm

遗传算法(Genetic Algorithm,简称GA)是一种最基本的进化算法,它是模拟达尔文生物进化理论的一种优化模型,最早由J.Holland教授于1975年提出。遗传算法中种群分每个个体都是解空间上的一个可行解,通过模拟生物的进化过程,从而在解空间内搜索最优解。

遗传算法的基本操作可以用下图来描述:

个体的编码方式确定以后,针对上图操作的具体描述如下:

  Step 1 种群初始化:根据问题特性设计合适的初始化操作(初始化操作应尽量简单,时间复杂度不易过高)对种群中的N个个体进行初始化操作;

  Step 2 个体评价:根据优化的目标函数计算种群中个体的适应值(fitness value);

  Step 3 迭代设置:设置种群最大迭代次数gmax,并令当前迭代次数g=1;

  Step 4 个体选择:设计合适的选择算子来对种群P(g)个体进行选择,被选择的个体将进入交配池中组成父代种群FP(g),用于交叉变换以产生新的个体。选择策略要基于个体适应值来进行,假如要优化的问题为最小化问题,那么具有较小适应值的个体被选择的概率相应应该大一些。常用的选择策略有轮盘赌选择,锦标赛选择等。

  Step 5 交叉算子:根据交叉概率pm(预先指定,一般为0.8)来判断父代个体是否需要进行交叉操作。交叉算子要根据被优化问题的特性来设计,它是整个遗传算法的核心,它被设计的好坏将直接决定整个算法性能的优劣。

  Step 6 变异算子:根据变异概率pc(预先指定,一般为0.1)来判断父代个体是否需要进行变异操作。变异算子的主要作用是保持种群的多样性,防止种群陷入局部最优,所以其一般被设计为一种随机变换。

  通过交叉变异操作以后父代种群FP(g)生成了新的子代种群P(g+1),令种群迭代次数g=g+1,进行下一轮的迭代操作(跳转到Step 4),直至迭代次数达到最大的迭代次数。

需要注意的问题:

1)种群数目

太多会导致收敛很慢,太少会落入局部最优值。需要不断尝试得到一个合适的种群数目。

2)交叉繁殖概率

一般建议设置为0.8。

3)变异概率

建议值为1/Population,如果种群值为100,则建议为0.01。太大会破坏整个算法的正确执行,太小会导致种群的多样性下降,会导致陷入局部最优。

4)挑选方式

  •  轮盘赌

一是最原始的轮盘竞赛方式,也就是适应度高的在轮盘上的比例就高,比例值和其自身的比例值相对应。

有个问题就是,如果出现负值就没法处理。可以改进一下,轮盘中的比例是固定的,只和排名有关。

  •  精英选择(TOP-K)

举个例子:

求解函数 f(x) = x + 10*sin(5*x) + 7*cos(4*x) 在区间[0,9]的最大值。

 

事实上,不管一个函数的形状多么奇怪,遗传算法都能在很短的时间内找到它在一个区间内的(近似)最大值。

1.编码

实现遗传算法的第一步就是明确对求解问题的编码和解码方式。

对于函数优化问题,一般有两种编码方式,各具优缺点

  • 实数编码:直接用实数表示基因,容易理解且不需要解码过程,但容易过早收敛,从而陷入局部最优
  • 二进制编码:稳定性高,种群多样性大,但需要的存储空间大,需要解码且难以理解
这里采用2进制编码,假设解的精度为小数点后4位,可以将x的解空间划分为 (9-0)×(1e+4)=90000个等分。2^16<90000<2^17,需要17位二进制数来表示这些解。换句话说,一个解的编码就是一个17位的二进制串。

一开始,这些二进制串是随机生成的。一个这样的二进制串代表一条染色体串,这里染色体串的长度为17。对于任何一条这样的染色体chromosome,如何将它复原(解码)到[0,9]这个区间中的数值呢?

对于本问题,我们可以采用以下公式来解码:

 x = 0 + decimal(chromosome)×(9-0)/(2^17-1)

 更一般的公式为:

f(x), x∈[lower_bound, upper_bound]
x = lower_bound + decimal(chromosome)×(upper_bound-lower_bound)/(2^chromosome_size-1)
lower_bound: 函数定义域的下限
upper_bound: 函数定义域的上限
chromosome_size: 染色体的长度

 2.个体和种群

『染色体』表达了某种特征,这种特征的载体,称为『个体』。

对于本次实验所要解决的一元函数最大值求解问题,个体可以用上一节构造的染色体表示,一个个体里有一条染色体。

许多这样的个体组成了一个种群,其含义是一个一维点集(x轴上[0,9]的线段)。

3.适应度函数

遗传算法中,一个个体(解)的好坏用适应度函数值来评价,在本问题中,f(x)就是适应度函数。

适应度函数值越大,解的质量越高。

适应度函数是遗传算法进化的驱动力,也是进行自然选择的唯一标准,它的设计应结合求解问题本身的要求而定。

4.遗传算子

我们希望有这样一个种群,它所包含的个体所对应的函数值都很接近于f(x)在[0,9]上的最大值,但是这个种群一开始可能不那么优秀,因为个体的染色体串是随机生成的。

如何让种群变得优秀呢?

不断的进化。

每一次进化都尽可能保留种群中的优秀个体,淘汰掉不理想的个体,并且在优秀个体之间进行染色体交叉,有些个体还可能出现变异。

种群的每一次进化,都会产生一个最优个体。种群所有世代的最优个体,可能就是函数f(x)最大值对应的定义域中的点。

如果种群无休止地进化,那总能找到最好的解。但实际上,我们的时间有限,通常在得到一个看上去不错的解时,便终止了进化。

对于给定的种群,如何赋予它进化的能力呢?

  • 首先是选择(selection)
    • 选择操作是从前代种群中选择***多对***较优个体,一对较优个体称之为一对父母,让父母们将它们的基因传递到下一代,直到下一代个体数量达到种群数量上限
    • 在选择操作前,将种群中个体按照适应度从小到大进行排列
    • 采用轮盘赌选择方法(当然还有很多别的选择方法),各个个体被选中的概率与其适应度函数值大小成正比
    • 轮盘赌选择方法具有随机性,在选择的过程中可能会丢掉较好的个体,所以可以使用精英机制,将前代最优个体直接选择
  • 其次是交叉(crossover)
    • 两个待交叉的不同的染色体(父母)根据交叉概率(cross_rate)按某种方式交换其部分基因
    • 采用单点交叉法,也可以使用其他交叉方法
  • 最后是变异(mutation)
    • 染色体按照变异概率(mutate_rate)进行染色体的变异
    • 采用单点变异法,也可以使用其他变异方法
#encoding=utf-8

import math
import random
import operator

class GA():
    def __init__(self, length, count):
        # 染色体长度
        self.length = length
        # 种群中的染色体数量
        self.count = count
        # 随机生成初始种群
        self.population = self.gen_population(length, count)

    def evolve(self, retain_rate=0.2, random_select_rate=0.5, mutation_rate=0.01):
        """
        进化
        对当前一代种群依次进行选择、交叉并生成新一代种群,然后对新一代种群进行变异
        """
        parents = self.selection(retain_rate, random_select_rate)
        self.crossover(parents)
        self.mutation(mutation_rate)

    def gen_chromosome(self, length):
        """
        随机生成长度为length的染色体,每个基因的取值是0或1
        这里用一个bit表示一个基因
        """
        chromosome = 0
        for i in xrange(length):
            chromosome |= (1 << i) * random.randint(0, 1)
        return chromosome

    def gen_population(self, length, count):
        """
        获取初始种群(一个含有count个长度为length的染色体的列表)
        """
        return [self.gen_chromosome(length) for i in xrange(count)]

    def fitness(self, chromosome):
        """
        计算适应度,将染色体解码为0~9之间数字,代入函数计算
        因为是求最大值,所以数值越大,适应度越高
        """
        x = self.decode(chromosome)
        return x + 10*math.sin(5*x) + 7*math.cos(4*x)

    def selection(self, retain_rate, random_select_rate):
        """
        选择
        先对适应度从大到小排序,选出存活的染色体
        再进行随机选择,选出适应度虽然小,但是幸存下来的个体
        """
        # 对适应度从大到小进行排序
        graded = [(self.fitness(chromosome), chromosome) for chromosome in self.population]
        graded = [x[1] for x in sorted(graded, reverse=True)]
        # 选出适应性强的染色体
        retain_length = int(len(graded) * retain_rate)
        parents = graded[:retain_length]
        # 选出适应性不强,但是幸存的染色体
        for chromosome in graded[retain_length:]:
            if random.random() < random_select_rate:
                parents.append(chromosome)
        return parents

    def crossover(self, parents):
        """
        染色体的交叉、繁殖,生成新一代的种群
        """
        # 新出生的孩子,最终会被加入存活下来的父母之中,形成新一代的种群。
        children = []
        # 需要繁殖的孩子的量
        target_count = len(self.population) - len(parents)
        # 开始根据需要的量进行繁殖
        while len(children) < target_count:
            male = random.randint(0, len(parents)-1)
            female = random.randint(0, len(parents)-1)
            if male != female:
                # 随机选取交叉点
                cross_pos = random.randint(0, self.length)
                # 生成掩码,方便位操作
                mask = 0
                for i in xrange(cross_pos):
                    mask |= (1 << i) 
                male = parents[male]
                female = parents[female]
                # 孩子将获得父亲在交叉点前的基因和母亲在交叉点后(包括交叉点)的基因
                child = ((male & mask) | (female & ~mask)) & ((1 << self.length) - 1)
                children.append(child)
        # 经过繁殖后,孩子和父母的数量与原始种群数量相等,在这里可以更新种群。
        self.population = parents + children

    def mutation(self, rate):
        """
        变异
        对种群中的所有个体,随机改变某个个体中的某个基因
        """
        for i in xrange(len(self.population)):
            if random.random() < rate:
                j = random.randint(0, self.length-1)
                self.population[i] ^= 1 << j


    def decode(self, chromosome):
        """
        解码染色体,将二进制转化为属于[0, 9]的实数
        """
        return chromosome * 9.0 / (2**self.length-1)

    def result(self):
        """
        获得当前代的最优值,这里取的是函数取最大值时x的值。
        """
        graded = [(self.fitness(chromosome), chromosome) for chromosome in self.population]
        graded = [x[1] for x in sorted(graded, reverse=True)]
        return ga.decode(graded[0])     


if __name__ == '__main__':
    # 染色体长度为17, 种群数量为300
    ga = GA(17, 300)

    # 200次进化迭代
    for x in xrange(200):
         ga.evolve()

    print ga.result()

 

三、Genetic Programming

遗传编程或称基因编程,简称GP,是一种从生物演化过程得到灵感的自动化生成和选择计算机程序来完成用户定义的任务的技术。从理论上讲,人类用遗传编程只需要告诉计算机“需要完成什么”,而不用告诉它“如何去完成”,最终可能实现真正意义上的人工智能:自动化的发明机器。

GP的输出是一个程序,可以用来控制机器人,进行函数回归等。

GP中有两个重要的概念:

1)Terminal Set,包含变量和常量等;

2)Function Set,主要是一些函数,可以是加减乘除,也可以是一些复杂的函数;

GP里进化的实际上是一颗树,如图。

1.Crossover杂交(允许自杂交)

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" />

2.Mutation变异

举个例子:

使用GP进行回归,具体来说是生成一些点,之后使用GP来训练得到符合这些点的函数。适应度定义为差值的总和。

 

 

 

 

 

 

 

 

 

 

以上就是遗传算法 Genetic Algorithm的全部内容。