We develop this argument through a progression of representations. We begin by extracting geometric cues–such as rooms, doorways, and spatial connectivity–directly from sensor data, and show how a team of robots can use these compact structural representations to coordinate room-based exploration in indoor environments. We then move beyond what has already been observed: by learning to predict unobserved portions of an environment, a robot can estimate the information it would gain from exploring a candidate location or path before actually visiting it, and a team of robots can use these predictions to coordinate exploration and manage information sharing under communication constraints. Finally, we extend reasoning beyond the geometric altogether, introducing a persistent 3D semantic representation that grounds open-vocabulary vision-language understanding into a structure capable of perceiving objects well beyond the range of onboard depth sensors. This representation enables a single robot to perform long-horizon object search in large outdoor environments, and allows a team of robots to coordinate search behavior by sharing a sparse, communication-efficient form of this representation rather than dense maps.
We demonstrate this progression through six contributions spanning indoor and outdoor environments and single- and multi-robot deployments, showing that as representations grow richer–from geometric structure, to predicted space, to persistent semantic memory–robots become capable of more efficient exploration, more effective object search, and more naturally coordinated teamwork.
