Characterization, a new tool for summarizing databases
摘要
Extracting and summarizing all the relevant information of a database to explain a variable of interest is an essential objective in data science. In this article, we introduce the notion of characterization of a Bernoulli variable. We give a precise definition and present methods for constructing minimal characterizations. Characterization synthesizes information on the variable of interest in the database. Therefore, it makes it possible to summarize the database with respect to this variable of interest. To illustrate this, we perform experiments on some databases to find characterizations and deduce summaries of these databases with respect to some variables of interest.