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Knowledge graph (KG) embedding methods which map entities and relations to unique embeddings in the KG have shown promising results on many reasoning tasks. However, the same embedding dimension for both dense entities and sparse entities…

Computation and Language · Computer Science 2022-05-06 Linlin Chao , Xiexiong Lin , Taifeng Wang , Wei Chu

Representation learning on static graph-structured data has shown a significant impact on many real-world applications. However, less attention has been paid to the evolving nature of temporal networks, in which the edges are often changing…

Machine Learning · Computer Science 2021-08-24 Jing Ma , Qiuchen Zhang , Jian Lou , Li Xiong , Joyce C. Ho

Knowledge Graph Embedding (KGE) techniques play a pivotal role in transforming symbolic Knowledge Graphs (KGs) into numerical representations, thereby enhancing various deep learning models for knowledge-augmented applications. Unlike…

Machine Learning · Computer Science 2025-03-24 Guanglin Niu

Knowledge graphs have been demonstrated to be an effective tool for numerous intelligent applications. However, a large amount of valuable knowledge still exists implicitly in the knowledge graphs. To enrich the existing knowledge graphs,…

Artificial Intelligence · Computer Science 2020-11-17 Pengpeng Shao , Guohua Yang , Dawei Zhang , Jianhua Tao , Feihu Che , Tong Liu

Tensor factorization is a powerful tool to analyse multi-way data. Compared with traditional multi-linear methods, nonlinear tensor factorization models are capable of capturing more complex relationships in the data. However, they are…

Machine Learning · Computer Science 2016-05-24 Shandian Zhe , Kai Zhang , Pengyuan Wang , Kuang-chih Lee , Zenglin Xu , Yuan Qi , Zoubin Ghahramani

Accurate identification of disease genes has consistently been one of the keys to decoding a disease's molecular mechanism. Most current approaches focus on constructing biological networks and utilizing machine learning, especially, deep…

Artificial Intelligence · Computer Science 2023-03-17 Xinyan Wang , Ting Jia , Chongyu Wang , Kuan Xu , Zixin Shu , Jian Yu , Kuo Yang , Xuezhong Zhou

Tensors or multiarray data are generalizations of matrices. Tensor clustering has become a very important research topic due to the intrinsically rich structures in real-world multiarray datasets. Subspace clustering based on vectorizing…

Computer Vision and Pattern Recognition · Computer Science 2015-04-30 Yanfeng Sun , Junbin Gao , Xia Hong , Bamdev Mishra , Baocai Yin

Continual Knowledge Graph Embedding (CKGE) aims to continually learn embeddings for new knowledge, i.e., entities and relations, while retaining previously acquired knowledge. Most existing CKGE methods mitigate catastrophic forgetting via…

Information Retrieval · Computer Science 2026-04-21 Jing Qi , Yuxiang Wang , Zhiyuan Yu , Xiaoliang Xu , Yuanshi Zheng , Tianxing Wu

Tensor decomposition is a fundamental tool for analyzing multi-dimensional data by learning low-rank factors to represent high-order interactions. While recent works on temporal tensor decomposition have made significant progress by…

Machine Learning · Computer Science 2025-09-30 Panqi Chen , Lei Cheng , Jianlong Li , Weichang Li , Weiqing Liu , Jiang Bian , Shikai Fang

Decompositions of tensors into factor matrices, which interact through a core tensor, have found numerous applications in signal processing and machine learning. A more general tensor model which represents data as an ordered network of…

Numerical Analysis · Computer Science 2016-09-30 Anh-Huy Phan , Andrzej Cichocki , Andre Uschmajew , Petr Tichavsky , George Luta , Danilo Mandic

Knowledge Graph Embedding (KGE) aims to represent entities and relations of knowledge graph in a low-dimensional continuous vector space. Recent works focus on incorporating structural knowledge with additional information, such as entity…

Computation and Language · Computer Science 2018-08-14 Kai Wang , Yu Liu , Xiujuan Xu , Dan Lin

Knowledge graphs (KGs), which consist of triples, are inherently incomplete and always require completion procedure to predict missing triples. In real-world scenarios, KGs are distributed across clients, complicating completion tasks due…

Machine Learning · Computer Science 2023-11-20 Maolin Wang , Dun Zeng , Zenglin Xu , Ruocheng Guo , Xiangyu Zhao

Recently, hetero-functional graph theory (HFGT) has developed as a means to mathematically model the structure of large-scale complex flexible engineering systems. It does so by fusing concepts from network science and model-based systems…

Artificial Intelligence · Computer Science 2022-10-14 Amro M. Farid , Dakota Thompson , Wester Schoonenberg

Coupled tensor decomposition reveals the joint data structure by incorporating priori knowledge that come from the latent coupled factors. The tensor ring (TR) decomposition is invariant under the permutation of tensors with different mode…

Machine Learning · Computer Science 2020-11-10 Huyan Huang , Yipeng Liu , Ce Zhu

Temporal Knowledge Graphs (TKGs) store temporal facts with quadruple formats (s, p, o, t). Existing Temporal Knowledge Graph Embedding (TKGE) models perform link prediction tasks in transductive or semi-inductive settings, which means the…

Artificial Intelligence · Computer Science 2025-06-10 Jiaxin Pan , Mojtaba Nayyeri , Osama Mohammed , Daniel Hernandez , Rongchuan Zhang , Cheng Cheng , Steffen Staab

Recently, Hyper-relational Knowledge Graphs (HKGs) have been proposed as an extension of traditional Knowledge Graphs (KGs) to better represent real-world facts with additional qualifiers. As a result, researchers have attempted to adapt…

Machine Learning · Computer Science 2025-08-06 Yubo Wang , Shimin Di , Zhili Wang , Haoyang Li , Fei Teng , Hao Xin , Lei Chen

Tensor decompositions, which represent an $N$-order tensor using approximately $N$ factors of much smaller dimensions, can significantly reduce the number of parameters. This is particularly beneficial for high-order tensors, as the number…

Machine Learning · Computer Science 2025-06-23 Zhen Qin , Michael B. Wakin , Zhihui Zhu

The widespread use of multi-sensor technology and the emergence of big datasets has highlighted the limitations of standard flat-view matrix models and the necessity to move towards more versatile data analysis tools. We show that…

Numerical Analysis · Computer Science 2015-06-19 A. Cichocki , D. Mandic , A-H. Phan , C. Caiafa , G. Zhou , Q. Zhao , L. De Lathauwer

Generative modeling for tabular data has recently gained significant attention in the Deep Learning domain. Its objective is to estimate the underlying distribution of the data. However, estimating the underlying distribution of tabular…

Machine Learning · Computer Science 2024-12-10 Aníbal Silva , André Restivo , Moisés Santos , Carlos Soares

Reducing parameter redundancies in neural network architectures is crucial for achieving feasible computational and memory requirements during training and inference phases. Given its easy implementation and flexibility, one promising…

Machine Learning · Computer Science 2025-08-22 Emanuele Zangrando , Steffen Schotthöfer , Gianluca Ceruti , Jonas Kusch , Francesco Tudisco