Supervised learning is the machine learning task of learning a function that maps an input to an output based on example input-output pairs. (Wikipedia)
For labels taking values in a finite metric space, we introduce techniques new to weak supervision based on pseudo-Euclidean embeddings andtensor decompositions, providing anearly-consistent noise rate estimator.
Structured prediction is the task of predicting an output which itself contains internal structure. As an example, consider the problem of image segmentation.
Hierarchical relations are prevalent and indispensable for organizing human knowledge captured by a knowledge graph (KG). The key property of hierarchical relations is that they induce a partial ordering over the entities, which needs to be modeled in order to allow for hierarchical reasoning.