\u9057\u4f20\u7b97\u6cd5<\/h1>\n

\u9057\u4f20\u7b97\u6cd5\u8be6\u7ec6\u64cd\u4f5c\u6559\u7a0b<\/span>\n <\/div>\n

\n \u672c\u7ae0\u8be6\u7ec6\u8ba8\u8bbaAI\u7684\u9057\u4f20\u7b97\u6cd5\u3002\n <\/div>\n

\u4ec0\u4e48\u662f\u9057\u4f20\u7b97\u6cd5\uff1f<\/h2>\n

\n \u9057\u4f20\u7b97\u6cd5(GA)\u662f\u57fa\u4e8e\u81ea\u7136\u9009\u62e9\u548c\u9057\u4f20\u5b66\u6982\u5ff5\u7684\u57fa\u4e8e\u641c\u7d22\u7684\u7b97\u6cd5\u3002\u9057\u4f20\u7b97\u6cd5\u662f\u79f0\u4e3a\u8fdb\u5316\u8ba1\u7b97\u7684\u66f4\u5927\u5206\u652f\u7684\u4e00\u4e2a\u5b50\u96c6\u3002\n <\/div>\n

\n GAs\u7531John Holland\u53ca\u5176\u5728\u5bc6\u6b47\u6839\u5927\u5b66\u7684\u5b66\u751f\u548c\u540c\u4e8b\u5f00\u53d1\uff0c\u6700\u7740\u540d\u7684\u662fDavid E.Goldberg\u3002\u81ea\u90a3\u4ee5\u6765\uff0c\u5b83\u4e00\u76f4\u5728\u5c1d\u8bd5\u5404\u79cd\u4f18\u5316\u95ee\u9898\u5e76\u53d6\u5f97\u4e86\u5f88\u9ad8\u7684\u6210\u529f\u3002\n <\/div>\n

\n \u5728GAs\u4e2d\uff0c\u6211\u4eec\u4e3a\u7ed9\u5b9a\u95ee\u9898\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6848\u3002\u8fd9\u4e9b\u89e3\u51b3\u65b9\u6848\u7136\u540e\u7ecf\u5386\u91cd\u7ec4\u548c\u7a81\u53d8(\u5982\u5728\u81ea\u7136\u9057\u4f20\u5b66\u4e2d)\uff0c\u4ea7\u751f\u65b0\u7684\u513f\u7ae5\uff0c\u5e76\u4e14\u8be5\u8fc7\u7a0b\u5728\u5404\u4ee3\u91cd\u590d\u3002\u6bcf\u4e2a\u4e2a\u4f53(\u6216\u5019\u9009\u89e3\u51b3\u65b9\u6848)\u90fd\u88ab\u5206\u914d\u4e00\u4e2a\u9002\u5e94\u503c(\u57fa\u4e8e\u5176\u76ee\u6807\u51fd\u6570\u503c)\uff0c\u5e76\u4e14\u9002\u5408\u8005\u4e2a\u4f53\u88ab\u8d4b\u4e88\u66f4\u9ad8\u7684\u914d\u5076\u5e76\u4ea7\u751f\u66f4\u9002\u5408\u4e2a\u4f53\u7684\u673a\u4f1a\u3002\u8fd9\u7b26\u5408\u8fbe\u5c14\u6587\u9002\u8005\u751f\u5b58\u7406\u8bba\u3002\n <\/div>\n

\n \u56e0\u6b64\uff0c\u5b83\u4e0d\u65ad\u53d1\u5c55\u66f4\u597d\u7684\u4e2a\u4eba\u6216\u89e3\u51b3\u65b9\u6848\uff0c\u76f4\u5230\u8fbe\u5230\u505c\u6b62\u6807\u51c6\u3002\n <\/div>\n

\n \u9057\u4f20\u7b97\u6cd5\u5728\u672c\u8d28\u4e0a\u5177\u6709\u5145\u5206\u7684\u968f\u673a\u6027\uff0c\u4f46\u5b83\u4eec\u6bd4\u968f\u673a\u5c40\u90e8\u641c\u7d22(\u6211\u4eec\u53ea\u662f\u5c1d\u8bd5\u968f\u673a\u89e3\u51b3\u65b9\u6848\uff0c\u8ffd\u8e2a\u8fc4\u4eca\u4e3a\u6b62\u6700\u597d\u7684)\u7684\u6027\u80fd\u597d\u5f97\u591a\uff0c\u56e0\u4e3a\u5b83\u4eec\u4e5f\u5728\u5229\u7528\u5386\u53f2\u4fe1\u606f\u3002\n <\/div>\n

\u5982\u4f55\u4f7f\u7528\u9057\u4f20\u7b97\u6cd5\u4f18\u5316\u95ee\u9898\uff1f<\/h2>\n

\n \u4f18\u5316\u662f\u4f7f\u8bbe\u8ba1\uff0c\u72b6\u51b5\uff0c\u8d44\u6e90\u548c\u7cfb\u7edf\u5c3d\u53ef\u80fd\u6709\u6548\u3002 \u4ee5\u4e0b\u6846\u56fe\u663e\u793a\u4e86\u4f18\u5316\u8fc7\u7a0b -\n <\/div>\n

\n $\u9057\u4f20\u7b97\u6cd5_https:\/\/bianchenghao6.com_\u3010\u4eba\u5de5\u667a\u80fd\u6559\u7a0b\u3011_\u7b2c1\u5f20$ \n <\/div>\n

GA\u673a\u5236\u4f18\u5316\u8fc7\u7a0b\u7684\u9636\u6bb5<\/h2>\n

\n \u4ee5\u4e0b\u662f\u7528\u4e8e\u4f18\u5316\u95ee\u9898\u7684GA\u673a\u5236\u7684\u4e00\u7cfb\u5217\u6b65\u9aa4\u3002\n <\/div>\n

\u7b2c1\u6b65<\/strong> - \u968f\u673a\u751f\u6210\u521d\u59cb\u7fa4\u4f53\u3002<\/span>
\n \u7b2c2\u6b65<\/strong> - \u9009\u62e9\u5177\u6709\u6700\u4f73\u9002\u5e94\u503c\u7684\u521d\u59cb\u89e3\u51b3\u65b9\u6848\u3002<\/span>
\n \u7b2c3\u6b65<\/strong> - \u4f7f\u7528\u53d8\u5f02\u548c\u4ea4\u53c9\u7b97\u5b50\u91cd\u7ec4\u9009\u5b9a\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/span>
\n \u7b2c4\u6b65<\/strong> - \u5c06\u540e\u4ee3\u63d2\u5165\u7fa4\u4f53\u3002<\/span>
\n \u7b2c5\u6b65<\/strong> - \u73b0\u5728\uff0c\u5982\u679c\u505c\u6b62\u6761\u4ef6\u5f97\u5230\u6ee1\u8db3\uff0c\u5219\u8fd4\u56de\u5177\u6709\u6700\u4f73\u9002\u5e94\u503c\u7684\u89e3\u3002 \u5426\u5219\uff0c\u8bf7\u8f6c\u5230\u7b2c2\u6b65\u3002<\/span> <\/p>\n

\u5b89\u88c5\u5fc5\u8981\u7684\u8f6f\u4ef6\u5305<\/h2>\n
\n \u8981\u5728Python\u4e2d\u4f7f\u7528\u9057\u4f20\u7b97\u6cd5\u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4e00\u4e2a\u79f0\u4e3aDEAP\u7684\u529f\u80fd\u5f3a\u5927\u7684GA\u5305\u3002 \u5b83\u662f\u7528\u4e8e\u5feb\u901f\u5efa\u7acb\u539f\u578b\u548c\u6d4b\u8bd5\u601d\u60f3\u7684\u65b0\u578b\u6f14\u5316\u8ba1\u7b97\u6846\u67b6\u5e93\u3002\u5728\u547d\u4ee4\u63d0\u793a\u7b26\u4e0b\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u6765\u5b89\u88c5\u6b64\u8f6f\u4ef6\u5305 -\n <\/div>\n
\n
# Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> pip install deap <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u5982\u679c\u60a8\u4f7f\u7528\u7684\u662fanaconda\u73af\u5883\uff0c\u5219\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5deap -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> conda install -c conda-forge deap <\/span><\/code><\/pre>\n<\/p><\/div>\n\u4f7f\u7528\u9057\u4f20\u7b97\u6cd5\u5b9e\u73b0\u89e3\u51b3\u65b9\u6848<\/h2>\n\n \u672c\u8282\u5411\u60a8\u4ecb\u7ecd\u4f7f\u7528\u9057\u4f20\u7b97\u6cd5\u5b9e\u73b0\u89e3\u51b3\u65b9\u6848\u3002\n <\/div>\n\n \u751f\u6210\u4f4d\u6a21\u5f0f<\/strong>\n <\/div>\n\n \u4ee5\u4e0b\u793a\u4f8b\u663e\u793a\u4e86\u5982\u4f55\u6839\u636eOne Max\u95ee\u9898\u751f\u6210\u4e00\u4e2a\u5305\u542b15\u4e2a\u5b57\u7b26\u4e32\u7684\u4f4d\u4e32\u3002\n <\/div>\n\n \u5982\u4e0b\u6240\u793a\u5bfc\u5165\u5fc5\u8981\u7684\u8f6f\u4ef6\u5305 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> import <\/span>random from <\/span>deap import <\/span>base, creator, tools <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u5b9a\u4e49\u8bc4\u4f30\u51fd\u6570\u3002 \u8fd9\u662f\u521b\u5efa\u9057\u4f20\u7b97\u6cd5\u7684\u7b2c\u4e00\u6b65\u3002\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> def <\/span>eval_func(individual): target_sum = 15 return <\/span>len(individual) - abs(sum(individual) - target_sum) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u73b0\u5728\uff0c\u4f7f\u7528\u6b63\u786e\u7684\u53c2\u6570\u521b\u5efa\u5de5\u5177\u7bb1 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> def <\/span>create_toolbox(num_bits): creator.create<\/span>(\"FitnessMax\"<\/span>, base.Fitness, weights=<\/span>(1.0,)) creator.create<\/span>(\"Individual\"<\/span>, list, fitness=creator.FitnessMax) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u521d\u59cb\u5316\u5de5\u5177\u7bb1\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> toolbox = base.Toolbox<\/span>() toolbox.register<\/span>(\"attr_bool\"<\/span>, random.randint, 0, 1) toolbox.register<\/span>(\"individual\"<\/span>, tools.initRepeat, creator.Individual, toolbox.attr_bool, num_bits) toolbox.register<\/span>(\"population\"<\/span>, tools.initRepeat, list, toolbox.individual) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u6ce8\u518c\u8ba1\u7b97\u64cd\u4f5c\u7b26 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> toolbox.register<\/span>(\"evaluate\"<\/span>, eval_func) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u73b0\u5728\uff0c\u6ce8\u518c\u4ea4\u53c9\u8fd0\u7b97\u7b26 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> toolbox.register<\/span>(\"mate\"<\/span>, tools.cxTwoPoint) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u6ce8\u518c\u4e00\u4e2a\u53ef\u53d8\u8fd0\u7b97\u7b26 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> toolbox.register<\/span>(\"mutate\"<\/span>, tools.mutFlipBit, indpb = 0.05) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u5b9a\u4e49\u80b2\u79cd\u64cd\u4f5c\u7b26 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> toolbox.register<\/span>(\"select\"<\/span>, tools.selTournament, tournsize = 3) return <\/span>toolbox if <\/span>__name__ == \"__main__\"<\/span>: num_bits = 45 toolbox = create_toolbox(num_bits) random.seed<\/span>(7) population = toolbox.population<\/span>(n = 500) probab_crossing, probab_mutating = 0.5, 0.2 num_generations = 10 print('\\nEvolution process starts'<\/span>) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u8bc4\u4f30\u6574\u4e2a\u4eba\u53e3 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> fitnesses = list(map(toolbox.evaluate, population)) for <\/span><\/span>ind, fit in <\/span>zip(population, fitnesses): ind.fitness.values = fit print('\\nEvaluated'<\/span>, len(population), 'individuals'<\/span>) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u7ecf\u8fc7\u51e0\u4ee3\u4eba\u7684\u521b\u5efa\u548c\u8fed\u4ee3 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> for <\/span><\/span>g in <\/span>range(num_generations): print(\"\\n- Generation\"<\/span>, g) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u9009\u62e9\u4e0b\u4e00\u4ee3\u4e2a\u4eba -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> offspring = toolbox.select<\/span>(population, len(population)) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u73b0\u5728\uff0c\u514b\u9686\u9009\u5b9a\u7684\u4e2a\u4eba -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> offspring = list(map(toolbox.clone, offspring)) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u5bf9\u540e\u4ee3\u5e94\u7528\u4ea4\u53c9\u548c\u53d8\u5f02 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> for <\/span><\/span>child1, child2 in <\/span>zip(offspring[::2], offspring[1::2]): if <\/span>random.random<\/span>() < probab_crossing: toolbox.mate<\/span>(child1, child2) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u5220\u9664\u5b69\u5b50\u7684\u9002\u5e94\u503c\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> del <\/span>child1.fitness.values del <\/span>child2.fitness.values <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u73b0\u5728\uff0c\u5e94\u7528\u7a81\u53d8 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> for <\/span><\/span>mutant in <\/span>offspring: if <\/span>random.random<\/span>() < probab_mutating: toolbox.mutate<\/span>(mutant) del <\/span>mutant.fitness.values <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u8bc4\u4f30\u4e0e\u65e0\u6548\u7684\u5065\u8eab\u4e2a\u4f53 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> invalid_ind = [ind for <\/span><\/span>ind in <\/span>offspring if <\/span>not <\/span>ind.fitness.valid] fitnesses = map(toolbox.evaluate, invalid_ind) for <\/span><\/span>ind, fit in <\/span>zip(invalid_ind, fitnesses): ind.fitness.values = fit print('Evaluated'<\/span>, len(invalid_ind), 'individuals'<\/span>) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u73b0\u5728\uff0c\u7528\u4e0b\u4e00\u4ee3\u4e2a\u4f53\u66ff\u4ee3\u4eba\u53e3 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> population[:] = offspring <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u6253\u5370\u5f53\u4ee3\u4eba\u7684\u7edf\u8ba1\u6570\u636e -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> fits = [ind.fitness.values[0] for <\/span><\/span>ind in <\/span>population] length = len(population) mean = sum(fits) \/ length sum2 = sum(x*x for <\/span><\/span>x in <\/span>fits) std = abs(sum2 \/ length - mean**2)**0.5 print('Min <\/span>='<\/span>, min(fits), ', Max ='<\/span>, max(fits)) print('Average ='<\/span>, round(mean, 2), ', Standard deviation ='<\/span>, round(std, 2)) print(\"\\n- Evolution ends\"<\/span>) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u6253\u5370\u6700\u7ec8\u8f93\u51fa -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> best_ind = tools.selBest<\/span>(population, 1)[0] print('\\nBest individual:\\n'<\/span>, best_ind) print('\\nNumber of ones:'<\/span>, sum(best_ind)) Following would be the output: Evolution process starts Evaluated 500 individuals - Generation 0 Evaluated 295 individuals Min <\/span>= 32.0 , Max = 45.0 Average = 40.29 , Standard deviation = 2.61 - Generation 1 Evaluated 292 individuals Min <\/span>= 34.0 , Max = 45.0 Average = 42.35 , Standard deviation = 1.91 - Generation 2 Evaluated 277 individuals Min <\/span>= 37.0 , Max = 45.0 Average = 43.39 , Standard deviation = 1.46 \u2026 \u2026 \u2026 \u2026 - Generation 9 Evaluated 299 individuals Min <\/span>= 40.0 , Max = 45.0 Average = 44.12 , Standard deviation = 1.11 - Evolution ends Best individual: [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1] Number of ones: 15 <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u7b26\u53f7\u56de\u5f52\u95ee\u9898<\/strong>\n <\/div>\n\n \u8fd9\u662f\u9057\u4f20\u7f16\u7a0b\u4e2d\u6700\u8457\u540d\u7684\u95ee\u9898\u4e4b\u4e00\u3002 \u6240\u6709\u7b26\u53f7\u56de\u5f52\u95ee\u9898\u90fd\u4f7f\u7528\u4efb\u610f\u6570\u636e\u5206\u5e03\uff0c\u5e76\u5c1d\u8bd5\u7528\u7b26\u53f7\u516c\u5f0f\u6765\u62df\u5408\u6700\u51c6\u786e\u7684\u6570\u636e\u3002 \u901a\u5e38\uff0c\u50cfRMSE(\u5747\u65b9\u6839\u8bef\u5dee)\u8fd9\u6837\u7684\u5ea6\u91cf\u7528\u4e8e\u5ea6\u91cf\u4e2a\u4f53\u7684\u9002\u5e94\u5ea6\u3002 \u8fd9\u662f\u4e00\u4e2a\u7ecf\u5178\u7684\u56de\u5f52\u95ee\u9898\uff0c\u8fd9\u91cc\u6211\u4eec\u4f7f\u7528\u65b9\u7a0b:5x3-6x2 + 8x = 1\u3002 \u6211\u4eec\u9700\u8981\u6309\u7167\u4e0a\u8ff0\u793a\u4f8b\u4e2d\u7684\u6240\u6709\u6b65\u9aa4\u8fdb\u884c\u64cd\u4f5c\uff0c\u4f46\u4e3b\u8981\u90e8\u5206\u662f\u521b\u5efa\u57fa\u5143\u96c6\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u4e2a\u4eba\u7684\u6784\u5efa\u57fa\u5757\uff0c\u56e0\u6b64\u53ef\u4ee5\u5f00\u59cb\u8bc4\u4f30\u3002 \u8fd9\u91cc\u5c06\u4f7f\u7528\u7ecf\u5178\u7684\u57fa\u5143\u96c6\u3002\n <\/div>\n\n \u4ee5\u4e0bPython\u4ee3\u7801\u8be6\u7ec6\u89e3\u91ca\u4e86\u8fd9\u4e00\u70b9 -\n <\/div>\n\n # Filename : example.py<\/span> # Copyright : 2020 By Lidihuo<\/span> # Author by : www.lidihuo.com<\/span> # Date : 2020-08-26<\/span> import <\/span>operator import <\/span>math import <\/span>random import <\/span>numpy as <\/span>np from <\/span>deap import <\/span>algorithms, base, creator, tools, gp def <\/span>division_operator(numerator, denominator): if <\/span>denominator <\/span>== 0: return <\/span>1 return <\/span>numerator <\/span>\/ denominator def <\/span>eval_func(individual, points): func = toolbox.compile<\/span>(expr=individual) return <\/span>math.fsum<\/span>(mse) \/ len(points), def <\/span>create_toolbox(): pset = gp.PrimitiveSet<\/span>(\"MAIN\"<\/span>, 1) pset.addPrimitive<\/span>(operator.add, 2) pset.addPrimitive<\/span>(operator.sub, 2) pset.addPrimitive<\/span>(operator.mul, 2) pset.addPrimitive<\/span>(division_operator, 2) pset.addPrimitive<\/span>(operator.neg, 1) pset.addPrimitive<\/span>(math.cos, 1) pset.addPrimitive<\/span>(math.sin, 1) pset.addEphemeralConstant<\/span>(\"rand101\"<\/span>, lambda: random.randint<\/span>(-1,1)) pset.renameArguments<\/span>(ARG0 = 'x'<\/span>) creator.create<\/span>(\"FitnessMin\"<\/span>, base.Fitness, weights = <\/span>(-1.0,)) creator.create<\/span>(\"Individual\"<\/span>,gp.PrimitiveTree,fitness=creator.FitnessMin) toolbox = base.Toolbox<\/span>() toolbox.register<\/span>(\"expr\"<\/span>, gp.genHalfAndHalf, pset=pset, min_=1, max_=2) toolbox.expr) toolbox.register<\/span>(\"population\"<\/span>,tools.initRepeat,list, toolbox.individual) toolbox.register<\/span>(\"compile\"<\/span>, gp.compile, pset = pset) toolbox.register<\/span>(\"evaluate\"<\/span>, eval_func, points = [x\/10. for <\/span><\/span>x in <\/span>range<\/span>(-10,10)]) toolbox.register<\/span>(\"select\"<\/span>, tools.selTournament, tournsize = 3) toolbox.register<\/span>(\"mate\"<\/span><\/span>, gp.cxOnePoint) toolbox.register<\/span>(\"expr_mut\"<\/span>, gp.genFull, min_=0, max_=2) toolbox.register<\/span>(\"mutate\"<\/span><\/span>, gp.mutUniform, expr = toolbox.expr_mut, pset = pset) toolbox.decorate<\/span>(\"mate\", gp.staticLimit<\/span>(key = operator.attrgetter<\/span>(\"height\"<\/span><\/span>), max_value = 17)) toolbox.decorate<\/span>(\"mutate\", gp.staticLimit<\/span>(key = operator.attrgetter<\/span>(\"height\"), max_value = 17)) return <\/span>toolbox if <\/span>__name__ == \"__main__\"<\/span>: random.seed<\/span>(7) toolbox = create_toolbox() population = toolbox.population<\/span>(n = 450) hall_of_fame = tools.HallOfFame<\/span>(1) stats_fit = tools.Statistics<\/span>(lambda <\/span>x: x.fitness.values) stats_size = tools.Statistics<\/span>(len) mstats = tools.MultiStatistics<\/span>(fitness=stats_fit, size = stats_size) mstats.register<\/span>(\"avg\"<\/span>, np.mean) mstats.register<\/span>(\"std\"<\/span>, np.std) mstats.register<\/span>(\"min\"<\/span>, np.min) mstats.register<\/span>(\"max\"<\/span>, np.max) probab_crossover = 0.4 probab_mutate = 0.2 number_gen = 10 population, log = algorithms.eaSimple<\/span>(population, toolbox, probab_crossover, probab_mutate, number_gen, stats = mstats, halloffame = hall_of_fame, verbose = True<\/span>) <\/span><\/code><\/pre>\n<\/p><\/div>\n\n \u8bf7\u6ce8\u610f\uff0c\u6240\u6709\u57fa\u672c\u6b65\u9aa4\u4e0e\u751f\u6210\u4f4d\u6a21\u5f0f\u65f6\u4f7f\u7528\u7684\u6b65\u9aa4\u76f8\u540c\u3002 \u8fd9\u4e2a\u7a0b\u5e8f\u4f1a\u7ed9\u51fa10\u4ee3\u540e\u7684\u8f93\u51fa\u4e3amin\uff0cmax\uff0cstd(\u6807\u51c6\u504f\u5dee)\u3002\n <\/div>\n <\/body> \n<\/html><\/p>\n","protected":false},"excerpt":{"rendered":"\u9057\u4f20\u7b97\u6cd5zh-cn","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[137],"tags":[],"class_list":["post-1322","post","type-post","status-publish","format-standard","hentry","category-rgznjc1"],"_links":{"self":[{"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/posts\/1322"}],"collection":[{"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/comments?post=1322"}],"version-history":[{"count":0,"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/posts\/1322\/revisions"}],"wp:attachment":[{"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/media?parent=1322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/categories?post=1322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bianchenghao6.com\/wp-json\/wp\/v2\/tags?post=1322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}