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Knowledge graph embeddings rank among the most successful methods for link prediction in knowledge graphs, i.e., the task of completing an incomplete collection of relational facts. A downside of these models is their strong sensitivity to…

Machine Learning · Statistics 2019-07-03 Robert Bamler , Farnood Salehi , Stephan Mandt

Most algorithms for representation learning and link prediction in relational data have been designed for static data. However, the data they are applied to usually evolves with time, such as friend graphs in social networks or user…

Machine Learning · Statistics 2020-04-13 Timothée Lacroix , Guillaume Obozinski , Nicolas Usunier

Contingency table analysis routinely relies on log linear models, with latent structure analysis providing a common alternative. Latent structure models lead to a low rank tensor factorization of the probability mass function for…

Statistics Theory · Mathematics 2014-04-03 James E. Johndrow , Anirban Battacharya , David B. Dunson

Knowledge graphs (KGs) have become a key ingredient supporting a variety of applications. Beyond the traditional triplet representation of facts where a relation connects two entities, modern KGs observe an increasing number of…

Artificial Intelligence · Computer Science 2026-02-09 Weijian Yu , Yuhuan Lu , Dingqi Yang

In this work, we aim at equipping pre-trained language models with structured knowledge. We present two self-supervised tasks learning over raw text with the guidance from knowledge graphs. Building upon entity-level masked language models,…

Computation and Language · Computer Science 2020-04-30 Tao Shen , Yi Mao , Pengcheng He , Guodong Long , Adam Trischler , Weizhu Chen

Word embedding is a powerful tool in natural language processing. In this paper we consider the problem of word embedding composition \--- given vector representations of two words, compute a vector for the entire phrase. We give a…

Machine Learning · Computer Science 2019-02-05 Abraham Frandsen , Rong Ge

A temporal graph can be considered as a stream of links, each of which represents an interaction between two nodes at a certain time. On temporal graphs, link prediction is a common task, which aims to answer whether the query link is true…

Artificial Intelligence · Computer Science 2024-02-13 Bingqing Liu , Xikun Huang

Information extraction methods proved to be effective at triple extraction from structured or unstructured data. The organization of such triples in the form of (head entity, relation, tail entity) is called the construction of Knowledge…

Artificial Intelligence · Computer Science 2022-08-25 Mohamad Zamini , Hassan Reza , Minou Rabiei

Tucker decomposition is a powerful tensor model to handle multi-aspect data. It demonstrates the low-rank property by decomposing the grid-structured data as interactions between a core tensor and a set of object representations (factors).…

Machine Learning · Computer Science 2024-03-20 Shikai Fang , Xin Yu , Zheng Wang , Shibo Li , Mike Kirby , Shandian Zhe

Dynamic graphs provide a flexible data abstraction for modelling many sorts of real-world systems, such as transport, trade, and social networks. Graph neural networks (GNNs) are powerful tools allowing for different kinds of prediction and…

Machine Learning · Statistics 2025-03-27 Ed Davis , Ian Gallagher , Daniel John Lawson , Patrick Rubin-Delanchy

Knowledge graph embeddings are now a widely adopted approach to knowledge representation in which entities and relationships are embedded in vector spaces. In this chapter, we introduce the reader to the concept of knowledge graph…

Artificial Intelligence · Computer Science 2020-05-01 Federico Bianchi , Gaetano Rossiello , Luca Costabello , Matteo Palmonari , Pasquale Minervini

The Tucker decomposition, an extension of singular value decomposition for higher-order tensors, is a useful tool in analysis and compression of large-scale scientific data. While it has been studied extensively for static datasets, there…

Numerical Analysis · Mathematics 2026-05-26 Saibal De , Zitong Li , Hemanth Kolla , Eric T. Phipps

In this paper, we study the problem of learning continuous vector representations of knowledge graphs for predicting missing links. We present a new approach called ConEx, which infers missing links by leveraging the composition of a 2D…

Machine Learning · Computer Science 2021-06-10 Caglar Demir , Axel-Cyrille Ngonga Ngomo

A tensor network is a type of decomposition used to express and approximate large arrays of data. A given data-set, quantum state or higher dimensional multi-linear map is factored and approximated by a composition of smaller multi-linear…

Quantum Physics · Physics 2022-07-08 Richik Sengupta , Soumik Adhikary , Ivan Oseledets , Jacob Biamonte

Knowledge graphs (KGs), as structured representations of real world facts, are intelligent databases incorporating human knowledge that can help machine imitate the way of human problem solving. However, KGs are usually huge and there are…

Machine Learning · Computer Science 2023-06-27 Haotian Li , Hongri Liu , Yao Wang , Guodong Xin , Yuliang Wei

Knowledge graph completion (KGC) can be framed as a 3-order binary tensor completion task. Tensor decomposition-based (TDB) models have demonstrated strong performance in KGC. In this paper, we provide a summary of existing TDB models and…

Machine Learning · Computer Science 2025-06-04 Changyi Xiao , Yixin Cao

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

Tucker tensor decomposition offers a more effective representation for multiway data compared to the widely used PARAFAC model. However, its flexibility brings the challenge of selecting the appropriate latent multi-rank. To overcome the…

Methodology · Statistics 2025-05-19 Federica Stolf , Antonio Canale

Neural link predictors are immensely useful for identifying missing edges in large scale Knowledge Graphs. However, it is still not clear how to use these models for answering more complex queries that arise in a number of domains, such as…

Machine Learning · Computer Science 2021-03-19 Erik Arakelyan , Daniel Daza , Pasquale Minervini , Michael Cochez

Knowledge graphs have evolved rapidly in recent years and their usefulness has been demonstrated in many artificial intelligence tasks. However, knowledge graphs often have lots of missing facts. To solve this problem, many knowledge graph…

Artificial Intelligence · Computer Science 2019-04-08 Takuma Ebisu , Ryutaro Ichise