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Dynamic multilayer networks are frequently used to describe the structure and temporal evolution of multiple relationships among common entities, with applications in fields such as sociology, economics, and neuroscience. However,…

统计方法学 · 统计学 2026-04-06 Runshi Tang , Runbing Zheng , Anru R. Zhang , Carey E. Priebe

Multilayer networks describe the rich ways in which nodes are related by accounting for different relationships in separate layers. These multiple relationships are naturally represented by an adjacency tensor. In this work we study the use…

社会与信息网络 · 计算机科学 2024-04-04 Izabel Aguiar , Dane Taylor , Johan Ugander

Semantic knowledge graphs are large-scale triple-oriented databases for knowledge representation and reasoning. Implicit knowledge can be inferred by modeling and reconstructing the tensor representations generated from knowledge graphs.…

量子物理 · 物理学 2020-11-26 Yunpu Ma , Volker Tresp

We propose a Bayesian tensor-on-tensor regression approach to predict a multidimensional array (tensor) of arbitrary dimensions from another tensor of arbitrary dimensions, building upon the Tucker decomposition of the regression…

统计方法学 · 统计学 2022-10-21 Kunbo Wang , Yanxun Xu

Human knowledge provides a formal understanding of the world. Knowledge graphs that represent structural relations between entities have become an increasingly popular research direction towards cognition and human-level intelligence. In…

计算与语言 · 计算机科学 2021-04-02 Shaoxiong Ji , Shirui Pan , Erik Cambria , Pekka Marttinen , Philip S. Yu

The ability of knowledge graphs to represent complex relationships at scale has led to their adoption for various needs including knowledge representation, question-answering, and recommendation systems. Knowledge graphs are often…

计算与语言 · 计算机科学 2023-05-18 Jason Youn , Ilias Tagkopoulos

Data tensors of orders 2 and greater are now routinely being generated. These data collections are increasingly huge and growing. Many scientific and medical data tensors are tensor fields (e.g., images, videos, geographic data) in which…

机器学习 · 计算机科学 2024-03-12 Taemin Heo , Chandrajit Bajaj

In this work, we leverage the linear algebraic structure of distributed word representations to automatically extend knowledge bases and allow a machine to learn new facts about the world. Our goal is to extract structured facts from…

计算与语言 · 计算机科学 2015-11-24 Lisa Seung-Yeon Lee

Since Knowledge Graphs are often incomplete, link prediction methods are adopted for predicting missing facts. Scalable embedding based solutions are mostly adopted for this purpose, however, they lack comprehensibility, which may be…

人工智能 · 计算机科学 2025-08-13 Roberto Barile , Claudia d'Amato , Nicola Fanizzi

Knowledge graph is a popular format for representing knowledge, with many applications to semantic search engines, question-answering systems, and recommender systems. Real-world knowledge graphs are usually incomplete, so knowledge graph…

机器学习 · 计算机科学 2023-04-26 Hung Nghiep Tran , Atsuhiro Takasu

This paper proposes a novel formulation of the tensor completion problem to impute missing entries of data represented by tensors. The formulation is introduced in terms of tensor train (TT) rank which can effectively capture global…

数值分析 · 计算机科学 2016-01-07 Ho N. Phien , Hoang D. Tuan , Johann A. Bengua , Minh N. Do

Graph embeddings play a critical role in graph representation learning, allowing machine learning models to explore and interpret graph-structured data. However, existing methods often rely on opaque, high-dimensional embeddings, limiting…

机器学习 · 计算机科学 2025-11-26 Astrit Tola , Funmilola Mary Taiwo , Cuneyt Gurcan Akcora , Baris Coskunuzer

Knowledge graph embedding (KGE) focuses on representing the entities and relations of a knowledge graph (KG) into the continuous vector spaces, which can be employed to predict the missing triples to achieve knowledge graph completion…

计算与语言 · 计算机科学 2023-07-25 Yichi Zhang , Wen Zhang

Much of the knowledge encoded in transformer language models (LMs) may be expressed in terms of relations: relations between words and their synonyms, entities and their attributes, etc. We show that, for a subset of relations, this…

As parallel computing trends towards the exascale, scientific data produced by high-fidelity simulations are growing increasingly massive. For instance, a simulation on a three-dimensional spatial grid with 512 points per dimension that…

数值分析 · 计算机科学 2017-01-05 Woody Austin , Grey Ballard , Tamara G. Kolda

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…

机器学习 · 计算机科学 2016-05-24 Shandian Zhe , Kai Zhang , Pengyuan Wang , Kuang-chih Lee , Zenglin Xu , Yuan Qi , Zoubin Ghahramani

Knowledge Graph(KG) has gained traction as a machine-readable organization of real-world knowledge for analytics using artificial intelligence systems. Graph Neural Network(GNN), is proven to be an effective KG embedding technique that…

机器学习 · 计算机科学 2026-02-24 Rajesh Rajagopalamenon , Unnikrishnan Cheramangalath

The Kronecker product is an invaluable tool for data-sparse representations of large networks and matrices with countless applications in machine learning, graph theory and numerical linear algebra. In some instances, the sparsity pattern…

数值分析 · 数学 2025-10-30 Yannis Voet , Leonardo De Novellis

Link prediction infers potential links from observed networks, and is one of the essential problems in network analyses. In contrast to traditional graph representation modeling which only predicts two-way pairwise relations, we propose a…

社会与信息网络 · 计算机科学 2021-11-10 Yubai Yuan , Annie Qu

Over the past years, embedding learning on networks has shown tremendous results in link prediction tasks for complex systems, with a wide range of real-life applications. Learning a representation for each node in a knowledge graph allows…

机器学习 · 计算机科学 2026-02-03 Orell Trautmann , Olaf Wolkenhauer , Clémence Réda