Task2Box: Box Embeddings for Modeling Asymmetric Task Relationships
Authors: Rangel Daroya, Aaron Sun, Subhransu Maji

Modeling and visualizing relationships between tasks or datasets is an important step towards solving various meta-tasks such as dataset discovery multi-tasking and transfer learning. However many relationships such as containment and transferability are naturally asymmetric and current approaches for representation and visualization (e.g. t-SNE) do not readily support this. We propose Task2Box an approach to represent tasks using box embeddings---axis-aligned hyperrectangles in low dimensional spaces---that can capture asymmetric relationships between them through volumetric overlaps. We show that Task2Box accurately predicts unseen hierarchical relationships between nodes in ImageNet and iNaturalist datasets as well as transferability between tasks in the Taskonomy benchmark. We also show that box embeddings estimated from task representations (e.g. CLIP Task2Vec or attribute based) can be used to predict relationships between unseen tasks more accurately than classifiers trained on the same representations as well as handcrafted asymmetric distances (e.g. KL divergence). This suggests that low-dimensional box embeddings can effectively capture these task relationships and have the added advantage of being interpretable. We use the approach to visualize relationships among publicly available image classification datasets on popular dataset hosting platform called Hugging Face.