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Hierarchical embedding for DAG reachability queries

Published: 25 August 2020 Publication History

Abstract

Current hierarchical embeddings are inaccurate in both reconstructing the original taxonomy and answering reachability queries over Direct Acyclic Graph. In this paper, we propose a new hierarchical embedding, the Euclidean Embedding (EE), that is correct by design due to its mathematical formulation and associated lemmas. Such embedding can be constructed during the visit of a taxonomy, thus making it faster to generate if compared to other learning-based embeddings. After proposing a novel set of metrics for determining the embedding accuracy with respect to the reachability queries, we compare our proposed embedding with state-of-the-art approaches using full trees from 3 to 1555 nodes and over a real-world Direct Acyclic Graph of 1170 nodes. The benchmark shows that EE outperforms our competitors in both accuracy and efficiency.

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  • (2021)A Tool for Computing Probabilistic Trace AlignmentsIntelligent Information Systems10.1007/978-3-030-79108-7_14(118-126)Online publication date: 15-Jun-2021

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cover image ACM Other conferences
IDEAS '20: Proceedings of the 24th Symposium on International Database Engineering & Applications
August 2020
252 pages
ISBN:9781450375030
DOI:10.1145/3410566
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 25 August 2020

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Author Tags

  1. DAG
  2. hierarchical embedding
  3. reachability query
  4. taxonomy
  5. tree

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IDEAS 2020

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IDEAS '20 Paper Acceptance Rate 27 of 57 submissions, 47%;
Overall Acceptance Rate 74 of 210 submissions, 35%

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  • (2021)A Tool for Computing Probabilistic Trace AlignmentsIntelligent Information Systems10.1007/978-3-030-79108-7_14(118-126)Online publication date: 15-Jun-2021

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