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In this work, we move beyond the traditional complex-valued representations, introducing more expressive hypercomplex representations to model entities and relations for knowledge graph embeddings.
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Reasoning with neural tensor networks for knowledge base completion
Richard Socher, Danqi Chen, Christopher D Manning, and Andrew Ng · 2013
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Knowledge vault: A web-scale approach to probabilistic knowledge fusion
Xin Dong, Evgeniy Gabrilovich, Geremy Heitz, Wilko Horn, Ni Lao, Kevin Murphy, Thomas Strohmann, Shaohua Sun, and Wei Zhang · 2014
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Zhen Wang, Jianwen Zhang, Jianlin Feng, and Zheng Chen · 2014
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Embedding entities and relations for learning and inference in knowledge bases
Bishan Yang, Wen-tau Yih, Xiaodong He, Jianfeng Gao, and Li Deng · 2014
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Guoliang Ji, Shizhu He, Liheng Xu, Kang Liu, and Jun Zhao · 2015
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Yankai Lin, Zhiyuan Liu, Maosong Sun, Yang Liu, and Xuan Zhu · 2015
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Arvind Neelakantan, Benjamin Roth, and Andrew McCallum · 2015
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Kristina Toutanova and Danqi Chen · 2015
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Maximilian Nickel, Lorenzo Rosasco, and Tomaso Poggio · 2016
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Complex and holographic embeddings of knowledge graphs: a comparison
Théo Trouillon and Maximilian Nickel · 2017
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Convolutional 2d knowledge graph embeddings
Tim Dettmers, Pasquale Minervini, Pontus Stenetorp, and Sebastian Riedel · 2018
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Toruse: Knowledge graph embedding on a lie group
Takuma Ebisu and Ryutaro Ichise · 2018
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Deep quaternion networks
Chase J Gaudet and Anthony S Maida · 2018
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Simple embedding for link prediction in knowledge graphs
Seyed Mehran Kazemi and David Poole · 2018
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Canonical tensor decomposition for knowledge base completion
Timothee Lacroix, Nicolas Usunier, and Guillaume Obozinski · 2018
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Lxxviii. on quaternions; or on a new system of imaginaries in algebra: To the editors of the philosophical magazine and journal
William Rowan Hamilton
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Quaternion convolutional neural networks for end-to-end automatic speech recognition
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Modeling relational data with graph convolutional networks
Michael Schlichtkrull, Thomas N Kipf, Peter Bloem, Rianne Van Den Berg, Ivan Titov, and Max Welling · 2018
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Knowledge graph embedding with entity neighbors and deep memory network
Kai Wang, Yu Liu, Xiujuan Xu, and Dan Lin · 2018
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Rotate: Knowledge graph embedding by relational rotation in complex space
Zhiqing Sun, Zhi-Hong Deng, Jian-Yun Nie, and Jian Tang · 2019
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