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Knowledge graph embedding (KGE) models represent each entity and relation of a knowledge graph (KG) with low-dimensional embedding vectors. These methods have recently been applied to KG link prediction and question answering over…

Computation and Language · Computer Science 2022-03-22 Apoorv Saxena , Adrian Kochsiek , Rainer Gemulla

Knowledge Graph Completion (KGC) aims at automatically predicting missing links for large-scale knowledge graphs. A vast number of state-of-the-art KGC techniques have got published at top conferences in several research fields, including…

Computation and Language · Computer Science 2020-07-10 Zhiqing Sun , Shikhar Vashishth , Soumya Sanyal , Partha Talukdar , Yiming Yang

Link prediction is critical for the application of incomplete knowledge graph (KG) in the downstream tasks. As a family of effective approaches for link predictions, embedding methods try to learn low-rank representations for both entities…

Computation and Language · Computer Science 2019-11-22 Canran Xu , Ruijiang Li

Knowledge Graphs (KGs) enhance recommender systems but face challenges from inherent noise, sparsity, and Euclidean geometry's inadequacy for complex relational structures, critically impairing representation learning, especially for…

Information Retrieval · Computer Science 2025-11-20 Binhao Wang , Yutian Xiao , Maolin Wang , Zhiqi Li , Tianshuo Wei , Ruocheng Guo , Xiangyu Zhao

In this paper, we propose a novel tensor learning and coding model for third-order data completion. Our model is to learn a data-adaptive dictionary from the given observations, and determine the coding coefficients of third-order tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Tai-Xiang Jiang , Xi-Le Zhao , Hao Zhang , Michael K. Ng

A common starting point for drug design is to find small chemical groups or "fragments" that form interactions with distinct subregions in a protein binding pocket. The subsequent challenge is to assemble these fragments into a molecule…

Quantitative Methods · Quantitative Biology 2025-05-29 Rohan V. Koodli , Alexander S. Powers , Ayush Pandit , Chiho Im , Ron O. Dror

Knowledge Graph (KG) completion research usually focuses on densely connected benchmark datasets that are not representative of real KGs. We curate two KG datasets that include biomedical and encyclopedic knowledge and use an existing…

Machine Learning · Computer Science 2021-06-15 Justin Lovelace , Denis Newman-Griffis , Shikhar Vashishth , Jill Fain Lehman , Carolyn Penstein Rosé

Knowledge graph (KG) alignment - the task of recognizing entities referring to the same thing in different KGs - is recognized as one of the most important operations in the field of KG construction and completion. However, existing…

Computation and Language · Computer Science 2022-03-16 Vinh Van Tong , Thanh Trung Huynh , Thanh Tam Nguyen , Hongzhi Yin , Quoc Viet Hung Nguyen , Quyet Thang Huynh

Since Knowledge Graphs (KGs) contain rich semantic information, recently there has been an influx of KG-enhanced recommendation methods. Most of existing methods are entirely designed based on euclidean space without considering curvature.…

Information Retrieval · Computer Science 2023-08-30 Meng Yuan , Fuzhen Zhuang , Zhao Zhang , Deqing Wang , Jin Dong

In the realm of tensor optimization, the low-rank Tucker decomposition is crucial for reducing the number of parameters and for saving storage. We explore the geometry of Tucker tensor varieties -- the set of tensors with bounded Tucker…

Optimization and Control · Mathematics 2024-07-16 Bin Gao , Renfeng Peng , Ya-xiang Yuan

We consider a Canonical Polyadic (CP) decomposition approach to low-rank tensor completion (LRTC) by incorporating external pairwise similarity relations through graph Laplacian regularization on the CP factor matrices. The usage of graph…

Numerical Analysis · Mathematics 2023-11-14 Yu Guan , Shuyu Dong , Bin Gao , P. -A. Absil , François Glineur

Geospatial Knowledge Graphs (GeoKGs) model geoentities (e.g., places and natural features) and spatial relationships in an interconnected manner, providing strong knowledge support for geographic applications, including data retrieval,…

Artificial Intelligence · Computer Science 2024-10-25 Lei Hu , Wenwen Li , Yunqiang Zhu

Recent knowledge graph (KG) embeddings have been advanced by hyperbolic geometry due to its superior capability for representing hierarchies. The topological structures of real-world KGs, however, are rather heterogeneous, i.e., a KG is…

Machine Learning · Computer Science 2022-06-02 Bo Xiong , Shichao Zhu , Mojtaba Nayyeri , Chengjin Xu , Shirui Pan , Chuan Zhou , Steffen Staab

Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete information. Here we consider a further extension to the…

Numerical Analysis · Mathematics 2014-11-04 Holger Rauhut , Reinhold Schneider , Zeljka Stojanac

Knowledge graph embedding aims at offering a numerical knowledge representation paradigm by transforming the entities and relations into continuous vector space. However, existing methods could not characterize the knowledge graph in a fine…

Artificial Intelligence · Computer Science 2017-06-20 Han Xiao , Minlie Huang , Xiaoyan Zhu

Knowledge graph completion (KGC) aims to solve the incompleteness of knowledge graphs (KGs) by predicting missing links from known triples, numbers of knowledge graph embedding (KGE) models have been proposed to perform KGC by learning…

Artificial Intelligence · Computer Science 2023-06-14 Jining Wang , Delai Qiu , YouMing Liu , Yining Wang , Chuan Chen , Zibin Zheng , Yuren Zhou

Low rank tensor ring model is powerful for image completion which recovers missing entries in data acquisition and transformation. The recently proposed tensor ring (TR) based completion algorithms generally solve the low rank optimization…

Machine Learning · Statistics 2021-04-07 Zhen Long , Ce Zhu , Jiani Liu , Yipeng Liu

Knowledge graphs contain knowledge about the world and provide a structured representation of this knowledge. Current knowledge graphs contain only a small subset of what is true in the world. Link prediction approaches aim at predicting…

Machine Learning · Statistics 2018-10-29 Seyed Mehran Kazemi , David Poole

In the task of Knowledge Graph Completion (KGC), the existing datasets and their inherent subtasks carry a wealth of shared knowledge that can be utilized to enhance the representation of knowledge triplets and overall performance. However,…

Computation and Language · Computer Science 2024-05-14 Yongxue Shan , Jie Zhou , Jie Peng , Xin Zhou , Jiaqian Yin , Xiaodong Wang

Learning the embeddings of knowledge graphs (KG) is vital in artificial intelligence, and can benefit various downstream applications, such as recommendation and question answering. In recent years, many research efforts have been proposed…

Artificial Intelligence · Computer Science 2022-10-25 Zhiping Luo , Wentao Xu , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu