Abstract: In economic networks, it is not currently possible to observe all flows between entities. Only a portion of relationships between firms is known publicly, and only a portion of those relationships is assigned values through reporting requirements by the regulating public institutions. Therefore, obtaining a plurality of documents that describe companies and their known connections through public sources will necessarily result in an incomplete matrix of customer-supplier relationships containing some mixture of known relationships with known values, known relationships with unknown values, and unknown relationships with unknown values. A method and system is presented to obtain a best estimate of all unknown values given the known information in the network, including an amount that is assigned to unknown entities to be discovered later.