Box-To-Box Transformations for Modeling Joint Hierarchies

Shib Sankar Dasgupta, Xiang Lorraine Li, Michael Boratko, Dongxu Zhang, Andrew McCallum


Abstract
Learning representations of entities and relations in structured knowledge bases is an active area of research, with much emphasis placed on choosing the appropriate geometry to capture the hierarchical structures exploited in, for example, isa or haspart relations. Box embeddings (Vilnis et al., 2018; Li et al., 2019; Dasgupta et al., 2020), which represent concepts as n-dimensional hyperrectangles, are capable of embedding hierarchies when training on a subset of the transitive closure. In Patel et al., (2020), the authors demonstrate that only the transitive reduction is required and further extend box embeddings to capture joint hierarchies by augmenting the graph with new nodes. While it is possible to represent joint hierarchies with this method, the parameters for each hierarchy are decoupled, making generalization between hierarchies infeasible. In this work, we introduce a learned box-to-box transformation that respects the structure of each hierarchy. We demonstrate that this not only improves the capability of modeling cross-hierarchy compositional edges but is also capable of generalizing from a subset of the transitive reduction.
Anthology ID:
2021.repl4nlp-1.28
Volume:
Proceedings of the 6th Workshop on Representation Learning for NLP (RepL4NLP-2021)
Month:
August
Year:
2021
Address:
Online
Venues:
ACL | IJCNLP | RepL4NLP
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
277–288
Language:
URL:
https://aclanthology.org/2021.repl4nlp-1.28
DOI:
10.18653/v1/2021.repl4nlp-1.28
Bibkey:
Cite (ACL):
Shib Sankar Dasgupta, Xiang Lorraine Li, Michael Boratko, Dongxu Zhang, and Andrew McCallum. 2021. Box-To-Box Transformations for Modeling Joint Hierarchies. In Proceedings of the 6th Workshop on Representation Learning for NLP (RepL4NLP-2021), pages 277–288, Online. Association for Computational Linguistics.
Cite (Informal):
Box-To-Box Transformations for Modeling Joint Hierarchies (Dasgupta et al., RepL4NLP 2021)
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PDF:
https://aclanthology.org/2021.repl4nlp-1.28.pdf