01c9d2c5b3ff5cbba349ec39a570b5e3-Paper.pdf

Geometric embeddings have recently received attention for their natural ability to represent transitive asymmetric relations via containment. Box embeddings, whereobjectsarerepresentedby n-dimensionalhyperrectangles,areaparticularly promising example of such an embedding as they are closed under intersection and their volume can be calculated easily, allowing them to naturally represent calibrated probability distributions.