We present efficient differentiable implementations of second-order multi-hop reasoning using a large symbolic knowledge base (KB). We introduce a new operation which can be used to compositionally construct second-order multi-hop templates in a neural model, and evaluate a number of alternative implementations, with different time and memory trade offs. These techniques scale to KBs with millions of entities and tens of millions of triples, and lead to simple models with competitive performance on several learning tasks requiring multi-hop reasoning.
@article{arxiv.1905.10417,
title = {Differentiable Representations For Multihop Inference Rules},
author = {William W. Cohen and Haitian Sun and R. Alex Hofer and Matthew Siegler},
journal= {arXiv preprint arXiv:1905.10417},
year = {2019}
}