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QuatDE: Dynamic Quaternion Embedding for Knowledge Graph Completion [article]

Haipeng Gao, Kun Yang, Yuxue Yang, Rufai Yusuf Zakari, Jim Wilson Owusu, Ke Qin
2021 arXiv   pre-print
Knowledge graph embedding has been an active research topic for knowledge base completion (KGC), with progressive improvement from the initial TransE, TransH, RotatE et al to the current state-of-the-art  ...  Experiment results show QuatDE achieves state-of-the-art performance on three well-established knowledge graph completion benchmarks.  ...  Currently, Rotate3D ) models the non-commutative composition pattern in three-dimensional space with quaternion representation.  ... 
arXiv:2105.09002v2 fatcat:r4kbfspvu5dohfulj36z5ukxuq

DensE: An Enhanced Non-commutative Representation for Knowledge Graph Embedding with Adaptive Semantic Hierarchy [article]

Haonan Lu, Hailin Hu, Xiaodong Lin
2022 arXiv   pre-print
In particular, our method decomposes each relation into an SO(3) group-based rotation operator and a scaling operator in the three dimensional (3-D) Euclidean space.  ...  Capturing the composition patterns of relations is a vital task in knowledge graph completion. It also serves as a fundamental step towards multi-hop reasoning over learned knowledge.  ...  Lin for insightful comments on the manuscript. We also thank Dr. Y. Guo and Ms. C. Jiang for helpful suggestions in the experimental settings.  ... 
arXiv:2008.04548v2 fatcat:3s2qqywjcvfhnj367rtwgpgj5e

Knowledge graph embedding by relational and entity rotation

Xuqian Huang, Jiuyang Tang, Zhen Tan, Weixin Zeng, Ji Wang, Xiang Zhao
2021 Knowledge-Based Systems  
To fill this gap, in this paper, we propose a novel knowledge graph embedding model, MRotatE.  ...  Notations and Problem Formulation Formally, entities, relations and triplets can be represented as E, R and T respectively, thus a knowledge graph can be expressed as K= {E,R,T }. 6 J o u r n a l P r e  ...  Rotate3D [29] is an improvement on QuatE, mapping entities into three-dimensional space.  ... 
doi:10.1016/j.knosys.2021.107310 fatcat:rqifca6zrnfv7a3rwvoldnw3vm

RotateQVS: Representing Temporal Information as Rotations in Quaternion Vector Space for Temporal Knowledge Graph Completion [article]

Kai Chen, Ye Wang, Yitong Li, Aiping Li
2022 arXiv   pre-print
In this paper, we propose a novel temporal modeling method which represents temporal entities as Rotations in Quaternion Vector Space (RotateQVS) and relations as complex vectors in Hamilton's quaternion  ...  Temporal factors are tied to the growth of facts in realistic applications, such as the progress of diseases and the development of political situation, therefore, research on Temporal Knowledge Graph  ...  To be specific, we encode both entities and relations as quaternion embeddings, and then temporal entity embeddings can be represented as Rotations in Quaternion Vector Space (Rotate-QVS).  ... 
arXiv:2203.07993v2 fatcat:sw3gdbfs55ftfok4hdfr6tvacq

Benefits and Pitfalls of Using HTML5 APIs for Online Experiments and Simulations

Pablo Garaizar, Miguel Ángel Vadillo, Diego Lopez-de-Ipina
2012 International Journal of Online Engineering (iJOE)  
The most recent advances in the architecture of the Web allow using it as an excellent platform to deliver experiments and simulations over the Internet.  ...  In this paper we analyze the benefits and pitfalls of these new Application Programming Interfaces (APIs), providing examples of both good and bad instances of research-related use.  ...  CSS Transforms API [9] allows transforming CSS-styled elements in a two-dimensional or three-dimensional space using transformation functions (e.g., scaleX, skewY, rotate3d) and related properties (e.g  ... 
doi:10.3991/ijoe.v8is3.2254 fatcat:5z3bahi3nngyxi22eyopuepk4q

Benefits and pitfalls of using HTML5 APIs for online experiments and simulations

P. Garaizar, M.A. Vadillo, D. Lopez-de-Ipina
2012 2012 9th International Conference on Remote Engineering and Virtual Instrumentation (REV)  
The most recent advances in the architecture of the Web allow using it as an excellent platform to deliver experiments and simulations over the Internet.  ...  In this paper we analyze the benefits and pitfalls of these new Application Programming Interfaces (APIs), providing examples of both good and bad instances of research-related use.  ...  CSS Transforms API [9] allows transforming CSS-styled elements in a two-dimensional or three-dimensional space using transformation functions (e.g., scaleX, skewY, rotate3d) and related properties (e.g  ... 
doi:10.1109/rev.2012.6293120 fatcat:ylz5bduxvzd43ad7k7x2zocf6a

HousE: Knowledge Graph Embedding with Householder Parameterization [article]

Rui Li, Jianan Zhao, Chaozhuo Li, Di He, Yiqi Wang, Yuming Liu, Hao Sun, Senzhang Wang, Weiwei Deng, Yanming Shen, Xing Xie, Qi Zhang
2022
The effectiveness of knowledge graph embedding (KGE) largely depends on the ability to model intrinsic relation patterns and mapping properties.  ...  Besides, HousE is a generalization of existing rotation-based models while extending the rotations to high-dimensional spaces.  ...  Knowledge Graph Embedding (KGE), which learns low-dimensional representations for entities and relations, excels as an effective tool for predicting missing links.  ... 
doi:10.48550/arxiv.2202.07919 fatcat:qdp547ycifesbaxjumurovfefq

RotateQVS: Representing Temporal Information as Rotations in Quaternion Vector Space for Temporal Knowledge Graph Completion

Kai Chen, Ye Wang, Yitong Li, Aiping Li
2022 Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)   unpublished
In this paper, we propose a novel temporal modeling method which represents temporal entities as Rotations in Quaternion Vector Space (RotateQVS) and relations as complex vectors in Hamilton's quaternion  ...  Temporal factors are tied to the growth of facts in realistic applications, such as the progress of diseases and the development of political situation, therefore, research on Temporal Knowledge Graph  ...  To be specific, we encode both entities and relations as quaternion embeddings, and then temporal entity embeddings can be represented as Rotations in Quaternion Vector Space (Rotate-QVS).  ... 
doi:10.18653/v1/2022.acl-long.402 fatcat:4sfqn44iffajflxool2dkdweim