Principles of Information Filtering in Metric Spaces

Abstract—The traditional problem of similarity search requires to find, within a set of points, those that are closer to a query point q, according to a distance function d. In this paper we introduce the novel problem of metric filtering: in this scenario, each data point xi possesses its own distance function di and the task is to find those points that are close enough, according to di, to a query point q. This minor difference in the problem formulation introduces a series of challenges from the point of view of efficient evaluation. We provide basic definitions and alternative pivot-based resolution strategies, presenting results from a preliminary experimentation that show how the proposed solutions are indeed effective in reducing evaluation costs. I