1. Introduction
In this paper, we study problems such as visual relationship detection (VRD) [29], [21] and human object interaction (HOI) [11], [35], [4] where a composite set of a two-level (part-and-sum) hierarchy is to be detected and localized in an image. In both VRD and HOI, the output consists of a set of entities. Each entity, referred to as a "sum", represents a triplet structure composed of parts: the parts are (subject, object, predicate) in VRD and (human, interaction, object) in HOI. The sum-and-parts structure naturally forms a two-level hierarchical output - with the sum at the root level and the parts at the leaf level. In the general setting for composite set detection, the hierarchy consists of two levels, but the number of parts can be arbitrary.