Learning Hierarchical Structures with Linear Relational Embedding

We present Linear Relational Embedding (LRE), a new method of learning adistributed representation of concepts from data consisting of instances ofrelations between given concepts. Its final goal is to be able to generalize, i.e. infer new instances of these relations among the concepts. Ona task involving family relationships we show that LRE can generalize better than any previously published method. We then show how LRE can be used effectively to find compact distributed representations forvariable-sized recursive data structures, such as trees and lists.