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Bibliographic Details
Main Authors: Guo, Xingzhi, Skiena, Steven
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2211.01430
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author Guo, Xingzhi
Skiena, Steven
author_facet Guo, Xingzhi
Skiena, Steven
contents Word and graph embeddings are widely used in deep learning applications. We present a data structure that captures inherent hierarchical properties from an unordered flat embedding space, particularly a sense of direction between pairs of entities. Inspired by the notion of \textit{distributional generality}, our algorithm constructs an arborescence (a directed rooted tree) by inserting nodes in descending order of entity power (e.g., word frequency), pointing each entity to the closest more powerful node as its parent. We evaluate the performance of the resulting tree structures on three tasks: hypernym relation discovery, least-common-ancestor (LCA) discovery among words, and Wikipedia page link recovery. We achieve average 8.98\% and 2.70\% for hypernym and LCA discovery across five languages and 62.76\% accuracy on directed Wiki-page link recovery, with both substantially above baselines. Finally, we investigate the effect of insertion order, the power/similarity trade-off and various power sources to optimize parent selection.
format Preprint
id arxiv_https___arxiv_org_abs_2211_01430
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Hierarchies over Vector Space: Orienting Word and Graph Embeddings
Guo, Xingzhi
Skiena, Steven
Computation and Language
Word and graph embeddings are widely used in deep learning applications. We present a data structure that captures inherent hierarchical properties from an unordered flat embedding space, particularly a sense of direction between pairs of entities. Inspired by the notion of \textit{distributional generality}, our algorithm constructs an arborescence (a directed rooted tree) by inserting nodes in descending order of entity power (e.g., word frequency), pointing each entity to the closest more powerful node as its parent. We evaluate the performance of the resulting tree structures on three tasks: hypernym relation discovery, least-common-ancestor (LCA) discovery among words, and Wikipedia page link recovery. We achieve average 8.98\% and 2.70\% for hypernym and LCA discovery across five languages and 62.76\% accuracy on directed Wiki-page link recovery, with both substantially above baselines. Finally, we investigate the effect of insertion order, the power/similarity trade-off and various power sources to optimize parent selection.
title Hierarchies over Vector Space: Orienting Word and Graph Embeddings
topic Computation and Language
url https://arxiv.org/abs/2211.01430