Noname manuscript No. (will be inserted by the editor) Bayes Networks for Supporting Query Processing Over Incomplete Autonomous Databases

Abstract As the information available to lay users through autonomous data sources continues to increase, mediators become important to ensure that the wealth of information available is tapped effectively. A key challenge that these information mediators need to handle is the varying levels of incompleteness in the underlying databases in terms of missing attribute values. Existing approaches such as QPIAD aim to mine and use Approximate Functional Dependencies (AFDs) to predict and retrieve relevant incomplete tuples. These approaches make inde-pendence assumptions about missing values—which critically hobbles their per-formance when there are tuples containing missing values for multiple correlated attributes. In this paper, we present a principled probabilistic alternative that views an incomplete tuple as defining a distribution over the complete tuples that it stands for. We learn this distribution in terms of Bayes networks. Our approach involves mining/“learning ” Bayes networks from a sample of the database, and using it to do both imputation (predict a missing value) and query rewriting (re-trieve relevant results with incompleteness on the query-constrained attributes, when the data sources are autonomous). We present empirical studies to demon-strate that (i) at higher levels of incompleteness, when multiple attribute values are missing, Bayes networks do provide a significantly higher classification accu-racy and (ii) the relevant possible answers retrieved by the queries reformulated using Bayes networks provide higher precision and recall than AFDs while keeping query processing costs manageable