code: def main(seed):
      random.seed(seed)
  
      NGEN = 50
  
      # Initialize the PBIL EDA
      pbil = PBIL(
          ndim=50,
          learning_rate=0.3,
          mut_prob=0.1,
          mut_shift=0.05,
          lambda_=20,
      )
  
      toolbox.register("generate", pbil.generate, creator.Individual)
      toolbox.register("update", pbil.update)
  
      # Statistics computation
      stats = tools.Statistics(lambda ind: ind.fitness.values)
      stats.register("avg", numpy.mean)
      stats.register("std", numpy.std)
      stats.register("min", numpy.min)
      stats.register("max", numpy.max)
  
      pop, logbook = algorithms.eaGenerateUpdate(
          toolbox, NGEN, stats=stats, verbose=True
      )
  
file_path: deap/examples/eda/pbil.py
imports: import array
  import random
  import numpy
  from deap import algorithms
  from deap import base
  from deap import creator
  from deap import tools
label_desc: Use image node_id 2 for calling a global function with example usage: main(seed) without return types