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A novel regularizer of the PARAFAC decomposition factors capturing the tensor's rank is proposed in this paper, as the key enabler for completion of three-way data arrays with missing entries. Set in a Bayesian framework, the tensor…

Information Theory · Computer Science 2013-10-01 Juan Andres Bazerque , Gonzalo Mateos , Georgios B. Giannakis

Knowledge Graph Completion (KGC) fundamentally hinges on the coherent fusion of pre-trained entity semantics with heterogeneous topological structures to facilitate robust relational reasoning. However, existing paradigms encounter a…

Artificial Intelligence · Computer Science 2026-02-12 Xuecheng Zou , Yu Tang , Bingbing Wang

Knowledge graph completion (KGC) revolves around populating missing triples in a knowledge graph using available information. Text-based methods, which depend on textual descriptions of triples, often encounter difficulties when these…

Computation and Language · Computer Science 2025-04-08 Haotian Li , Bin Yu , Yuliang Wei , Kai Wang , Richard Yi Da Xu , Bailing Wang

Knowledge graph question answering (KGQA) based on information retrieval aims to answer a question by retrieving answer from a large-scale knowledge graph. Most existing methods first roughly retrieve the knowledge subgraphs (KSG) that may…

Computation and Language · Computer Science 2022-10-06 Hanning Gao , Lingfei Wu , Po Hu , Zhihua Wei , Fangli Xu , Bo Long

Recently there is an increasing scholarly interest in time-varying knowledge graphs, or temporal knowledge graphs (TKG). Previous research suggests diverse approaches to TKG reasoning that uses historical information. However, less…

Machine Learning · Computer Science 2022-09-14 Jihoon Sohn , Mingyu Derek Ma , Muhao Chen

In this work, we develop an optimization framework for problems whose solutions are well-approximated by Hierarchical Tucker (HT) tensors, an efficient structured tensor format based on recursive subspace factorizations. By exploiting the…

Numerical Analysis · Mathematics 2014-05-12 Curt Da Silva , Felix J. Herrmann

Neural models of Knowledge Base data have typically employed compositional representations of graph objects: entity and relation embeddings are systematically combined to evaluate the truth of a candidate Knowedge Base entry. Using a model…

Computation and Language · Computer Science 2019-08-14 Matthias Lalisse , Paul Smolensky

Tensor decomposition is an important technique for capturing the high-order interactions among multiway data. Multi-linear tensor composition methods, such as the Tucker decomposition and the CANDECOMP/PARAFAC (CP), assume that the complex…

Machine Learning · Statistics 2016-11-04 Bin Liu , Zenglin Xu , Yingming Li

The recent low-rank prior based models solve the tensor completion problem efficiently. However, these models fail to exploit the local patterns of tensors, which compromises the performance of tensor completion. In this paper, we propose a…

Numerical Analysis · Mathematics 2021-04-13 Liyu Su

We propose a new end-to-end method for extending a Knowledge Graph (KG) from tables. Existing techniques tend to interpret tables by focusing on information that is already in the KG, and therefore tend to extract many redundant facts. Our…

Information Retrieval · Computer Science 2019-07-16 Benno Kruit , Peter Boncz , Jacopo Urbani

Many models learn representations of knowledge graph data by exploiting its low-rank latent structure, encoding known relations between entities and enabling unknown facts to be inferred. To predict whether a relation holds between…

Machine Learning · Computer Science 2021-01-19 Carl Allen , Ivana Balažević , Timothy Hospedales

Learning knowledge graph embedding from an existing knowledge graph is very important to knowledge graph completion. For a fact $(h,r,t)$ with the head entity $h$ having a relation $r$ with the tail entity $t$, the current approaches aim to…

Artificial Intelligence · Computer Science 2019-09-10 Lianbo Ma , Peng Sun , Zhiwei Lin , Hui Wang

While numerous approaches have been developed to embed graphs into either Euclidean or hyperbolic spaces, they do not fully utilize the information available in graphs, or lack the flexibility to model intrinsic complex graph geometry. To…

Machine Learning · Computer Science 2020-10-26 Shichao Zhu , Shirui Pan , Chuan Zhou , Jia Wu , Yanan Cao , Bin Wang

Temporal Knowledge Graph (TKG) completion models traditionally assume access to the entire graph during training. This overlooks challenges stemming from the evolving nature of TKGs, such as: (i) the model's requirement to generalize and…

Artificial Intelligence · Computer Science 2025-07-28 Mehrnoosh Mirtaheri , Ryan A. Rossi , Sungchul Kim , Kanak Mahadik , Tong Yu , Xiang Chen , Mohammad Rostami

Knowledge graph embedding involves learning representations of entities -- the vertices of the graph -- and relations -- the edges of the graph -- such that the resulting representations encode the known factual information represented by…

Machine Learning · Computer Science 2023-03-21 Thomas Gebhart , Jakob Hansen , Paul Schrater

Tensor completion is a natural higher-order generalization of matrix completion where the goal is to recover a low-rank tensor from sparse observations of its entries. Existing algorithms are either heuristic without provable guarantees,…

Data Structures and Algorithms · Computer Science 2023-07-14 Allen Liu , Ankur Moitra

In recent years, there has been a resurgence in methods that use distributed (neural) representations to represent and reason about semantic knowledge for robotics applications. However, while robots often observe previously unknown…

Robotics · Computer Science 2021-05-11 Angel Daruna , Mehul Gupta , Mohan Sridharan , Sonia Chernova

Graph embedding techniques allow to learn high-quality feature vectors from graph structures and are useful in a variety of tasks, from node classification to clustering. Existing approaches have only focused on learning feature vectors for…

Artificial Intelligence · Computer Science 2019-05-29 Valeria Fionda , Giuseppe Pirró

We propose the Relational Tucker3 (RT) decomposition for multi-relational link prediction in knowledge graphs. We show that many existing knowledge graph embedding models are special cases of the RT decomposition with certain predefined…

Machine Learning · Computer Science 2019-02-05 Yanjie Wang , Samuel Broscheit , Rainer Gemulla

Knowledge graph completion is the task of inferring missing facts based on existing data in a knowledge graph. Temporal knowledge graph completion (TKGC) is an extension of this task to temporal knowledge graphs, where each fact is…

Machine Learning · Computer Science 2021-09-21 Johannes Messner , Ralph Abboud , İsmail İlkan Ceylan