The result below follows from Bayes' Rule and our assumptions above: Proposition 1 If two strings s i and s j have P i and P j potential properties (or instances), and they appear in extracted assertions D i and D j such that |D i | = n i and |D j | = n j , and they share k extracted properties (or instances), the probability that s i and s j co-refer is: Substituting equation 1 into equation 2 gives us a complete expression for the probability we are looking for.
web Information Extraction (wIE) systems extract assertions that describe a relation and its arguments from web text (e.g., (is capital of, D.C., United States)).