产生关联的通信:一个统一的综述
Communication for Generating Correlation: A Unifying Survey
摘要:
在分布式环境中操纵相关随机变量的任务在信息论和计算机科学领域都受到了关注。通常,共享的相关性可以通过少量的通信转换为完全共享的均匀随机变量。这种完美的共享随机性反过来又使许多任务的解决方案成为可能。即使是将完全共享的均匀随机性逆转换为具有期望相关形式的变量,也证明是有见地和技术上有用的。在这篇调查文章中,我们描述了这些问题的最新进展,并列出了相关的措施,可行性结果,性能限制,并指出新的方向。
英文摘要:
The task of manipulating correlated random variables in a distributed setting has received attention in the fields of both Information Theory and Computer Science. Often shared correlations can be converted, using a little amount of communication, into perfectly shared uniform random variables. Such perfect shared randomness, in turn, enables the solutions of many tasks. Even the reverse conversion of perfectly shared uniform randomness into variables with a desired form of correlation turns out to be insightful and technically useful. In this survey article, we describe progress-to-date on such problems and lay out pertinent measures, achievability results, limits of performance, and point to new directions.
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。