SimE: A Knowledge Graph Embedding Model to Encode Self-Similar Structures through Algebraic and Geometric Transformations

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Kossi Amouzouvi
  • Yashrajsinh Chudasama
  • Disha Purohit
  • Ariam Rivas
  • Bowen Song
  • Jens Lehmann
  • Sahar Vahdati
  • Maria Esther Vidal

Externe Organisationen

  • Technische Universität Dresden
  • Kwame Nkrumah University of Science and Technology
  • Technische Informationsbibliothek (TIB) Leibniz-Informationszentrum Technik und Naturwissenschaften und Universitätsbibliothek
  • China University of Geosciences (CUG)
  • Amazon.com, Inc.
  • Institute for Applied Informatics Association (InfAI)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer0b00006493ddb818
FachzeitschriftIEEE ACCESS
Jahrgang13
Frühes Online-Datum24 Apr. 2025
PublikationsstatusVeröffentlicht - 5 Mai 2025

Abstract

Knowledge Graphs (KGs), with their intricate hierarchies and semantic relationships, present unique challenges for graph representation learning, necessitating tailored approaches to effectively capture and encode their complex structures into useful numerical representations. The fractal-like nature of these graphs, where patterns repeat at various scales and complexities, requires specialized algorithms that can adapt and learn from the multi-level structures inherent in the data. This similarity to fractals requires methods that preserve the recursive detail of knowledge graphs while facilitating efficient learning and extraction of relational patterns. In this study, we explore the integration of similarity group with attention mechanisms to represent knowledge graphs in complex spaces. In our approach, SimE, we make use of the algebraic (bijection) and geometric (similarity) properties of the similarity transformations to enhance the representation of self-similar fractals in KGs. We empirically validate the capability of providing representations of bijections and similarities in benchmark KGs. We also conducted controlled experiments that captured one-to-one, one-to-many, and many-to-many relational patterns and studied the behavior of state-of-the-art models including the proposed SimE model. Because of the lack of benchmark fractal-like KG datasets, we created a set of fractal-like testbeds to assess the subgraph similarity learning ability of models. The observed results suggest that SimE captures the complex geometric structures of KGs whose statements satisfy these algebraic and geometric properties. In particular, SimE is competitive with state-of-the-art KG embedding models and is able to achieve high values of Hits@1. As a result, SimE is capable of effectively predicting correct links and ranking them with the highest ranks.

ASJC Scopus Sachgebiete

Zitieren

SimE: A Knowledge Graph Embedding Model to Encode Self-Similar Structures through Algebraic and Geometric Transformations. / Amouzouvi, Kossi; Chudasama, Yashrajsinh; Purohit, Disha et al.
in: IEEE ACCESS, Jahrgang 13, 0b00006493ddb818, 05.05.2025.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Amouzouvi, K, Chudasama, Y, Purohit, D, Rivas, A, Song, B, Lehmann, J, Vahdati, S & Vidal, ME 2025, 'SimE: A Knowledge Graph Embedding Model to Encode Self-Similar Structures through Algebraic and Geometric Transformations', IEEE ACCESS, Jg. 13, 0b00006493ddb818. https://doi.org/10.1109/ACCESS.2025.3564130
Amouzouvi, K., Chudasama, Y., Purohit, D., Rivas, A., Song, B., Lehmann, J., Vahdati, S., & Vidal, M. E. (2025). SimE: A Knowledge Graph Embedding Model to Encode Self-Similar Structures through Algebraic and Geometric Transformations. IEEE ACCESS, 13, Artikel 0b00006493ddb818. https://doi.org/10.1109/ACCESS.2025.3564130
Amouzouvi K, Chudasama Y, Purohit D, Rivas A, Song B, Lehmann J et al. SimE: A Knowledge Graph Embedding Model to Encode Self-Similar Structures through Algebraic and Geometric Transformations. IEEE ACCESS. 2025 Mai 5;13:0b00006493ddb818. Epub 2025 Apr 24. doi: 10.1109/ACCESS.2025.3564130
Amouzouvi, Kossi ; Chudasama, Yashrajsinh ; Purohit, Disha et al. / SimE : A Knowledge Graph Embedding Model to Encode Self-Similar Structures through Algebraic and Geometric Transformations. in: IEEE ACCESS. 2025 ; Jahrgang 13.
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abstract = "Knowledge Graphs (KGs), with their intricate hierarchies and semantic relationships, present unique challenges for graph representation learning, necessitating tailored approaches to effectively capture and encode their complex structures into useful numerical representations. The fractal-like nature of these graphs, where patterns repeat at various scales and complexities, requires specialized algorithms that can adapt and learn from the multi-level structures inherent in the data. This similarity to fractals requires methods that preserve the recursive detail of knowledge graphs while facilitating efficient learning and extraction of relational patterns. In this study, we explore the integration of similarity group with attention mechanisms to represent knowledge graphs in complex spaces. In our approach, SimE, we make use of the algebraic (bijection) and geometric (similarity) properties of the similarity transformations to enhance the representation of self-similar fractals in KGs. We empirically validate the capability of providing representations of bijections and similarities in benchmark KGs. We also conducted controlled experiments that captured one-to-one, one-to-many, and many-to-many relational patterns and studied the behavior of state-of-the-art models including the proposed SimE model. Because of the lack of benchmark fractal-like KG datasets, we created a set of fractal-like testbeds to assess the subgraph similarity learning ability of models. The observed results suggest that SimE captures the complex geometric structures of KGs whose statements satisfy these algebraic and geometric properties. In particular, SimE is competitive with state-of-the-art KG embedding models and is able to achieve high values of Hits@1. As a result, SimE is capable of effectively predicting correct links and ranking them with the highest ranks.",
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T2 - A Knowledge Graph Embedding Model to Encode Self-Similar Structures through Algebraic and Geometric Transformations

AU - Amouzouvi, Kossi

AU - Chudasama, Yashrajsinh

AU - Purohit, Disha

AU - Rivas, Ariam

AU - Song, Bowen

AU - Lehmann, Jens

AU - Vahdati, Sahar

AU - Vidal, Maria Esther

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Y1 - 2025/5/5

N2 - Knowledge Graphs (KGs), with their intricate hierarchies and semantic relationships, present unique challenges for graph representation learning, necessitating tailored approaches to effectively capture and encode their complex structures into useful numerical representations. The fractal-like nature of these graphs, where patterns repeat at various scales and complexities, requires specialized algorithms that can adapt and learn from the multi-level structures inherent in the data. This similarity to fractals requires methods that preserve the recursive detail of knowledge graphs while facilitating efficient learning and extraction of relational patterns. In this study, we explore the integration of similarity group with attention mechanisms to represent knowledge graphs in complex spaces. In our approach, SimE, we make use of the algebraic (bijection) and geometric (similarity) properties of the similarity transformations to enhance the representation of self-similar fractals in KGs. We empirically validate the capability of providing representations of bijections and similarities in benchmark KGs. We also conducted controlled experiments that captured one-to-one, one-to-many, and many-to-many relational patterns and studied the behavior of state-of-the-art models including the proposed SimE model. Because of the lack of benchmark fractal-like KG datasets, we created a set of fractal-like testbeds to assess the subgraph similarity learning ability of models. The observed results suggest that SimE captures the complex geometric structures of KGs whose statements satisfy these algebraic and geometric properties. In particular, SimE is competitive with state-of-the-art KG embedding models and is able to achieve high values of Hits@1. As a result, SimE is capable of effectively predicting correct links and ranking them with the highest ranks.

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