We address three outstanding problems in information theory. Problem one is the definition of a non-negative decomposition of the information conveyed by two or more sources about a target variable into the specific contribution of each possible combination of the sources. Problem two is the definition of a measure of information shared by several sources about the target variable. Problem three is the definition of a measure of multiple mutual information, that is, the extension of mutual information to more than two variables.
翻译:我们处理信息理论中的三个未决问题。问题一是两个或两个以上来源所传递的信息的非消极分解定义,即将目标变量纳入每种来源可能的组合的具体贡献中。问题二是若干来源所共享的关于目标变量的信息的计量定义。问题三是多重信息计量的定义,即将相互信息扩展至两个以上变量。