Kolmogorov复杂性提取中的可能性与不可能性
Possibilities and impossibilities in Kolmogorov complexity extraction
摘要：
随机性提取是从一个或多个较低质量的随机性源构建高质量随机性源的过程。这个问题可以用概率分布和最小熵来度量它们的质量，也可以用单个字符串和柯尔莫哥洛夫复杂度来度量它们的质量。复杂性理论家更熟悉第一种方法。在本文中，我们调查第二种方法。我们提出了提取器和Kolmogorov提取器之间的联系，以及关于Kolmogorov复杂性提取的基本正反结果。
英文摘要：
Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled using probability distributions and min-entropy to measure their quality and also by using individual strings and Kolmogorov complexity to measure their quality. Complexity theorists are more familiar with the first approach. In this paper we survey the second approach. We present the connection between extractors and Kolmogorov extractors and the basic positive and negative results concerning Kolmogorov complexity extraction.
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。
