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arXiv cs/9902006cs.NEcs.AIcs.CCcs.DScs.LGcs.MA
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进化规划的一门学科

A Discipline of Evolutionary Programming

Paul Vitanyi

摘要:

使用小种群或跨代小种群更新的遗传适应度优化通常遭受随机发散进化。我们提出了一个概念,高度可能的适应度优化,通过可行的进化计算运行在小规模的人口。基于快速混合马尔可夫链,该方法适用于大多数类型的进化遗传算法,遗传编程等。我们建立了相关的快速混合马尔可夫链和适当的平稳分布的新方法发现最佳方案(个人)的概率几乎为1的系统。为了使该方法有用,需要一种结构化设计方法,其中程序的开发和快速混合性能的保证齐头并进。最后通过一个简单的例子说明了该方法的可行性。更重要的例子需要理论上的进步,例如关于Metropolis滤波器。

英文摘要:

Genetic fitness optimization using small populations or small population updates across generations generally suffers from randomly diverging evolutions. We propose a notion of highly probable fitness optimization through feasible evolutionary computing runs on small size populations. Based on rapidly mixing Markov chains, the approach pertains to most types of evolutionary genetic algorithms, genetic programming and the like. We establish that for systems having associated rapidly mixing Markov chains and appropriate stationary distributions the new method finds optimal programs (individuals) with probability almost 1. To make the method useful would require a structured design methodology where the development of the program and the guarantee of the rapidly mixing property go hand in hand. We analyze a simple example to show that the method is implementable. More significant examples require theoretical advances, for example with respect to the Metropolis filter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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