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Knowledge graph (KG) embedding aims at embedding entities and relations in a KG into a lowdimensional latent representation space. Existing KG embedding approaches model entities andrelations in a KG by utilizing real-valued ,…

机器学习 · 计算机科学 2021-03-24 Chengjin Xu , Mojtaba Nayyeri , Yung-Yu Chen , Jens Lehmann

E-graphs are a data structure that compactly represents equivalent expressions. They are constructed via the repeated application of rewrite rules. Often in practical applications, conditional rewrite rules are crucial, but their…

数据结构与算法 · 计算机科学 2023-08-16 Samuel Coward , George A. Constantinides , Theo Drane

Machine learning models for graphs in real-world applications are prone to two primary types of uncertainty: (1) those that arise from incomplete and noisy data and (2) those that arise from uncertainty of the model in its output. These…

机器学习 · 计算机科学 2024-12-10 Zohair Shafi , Germans Savcisens , Tina Eliassi-Rad

Graph aggregation is the process of computing a single output graph that constitutes a good compromise between several input graphs, each provided by a different source. One needs to perform graph aggregation in a wide variety of…

人工智能 · 计算机科学 2018-06-13 Ulle Endriss , Umberto Grandi

Representation Learning of words and Knowledge Graphs (KG) into low dimensional vector spaces along with its applications to many real-world scenarios have recently gained momentum. In order to make use of multiple KG embeddings for…

计算与语言 · 计算机科学 2020-04-16 Russa Biswas , Mehwish Alam , Harald Sack

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

机器学习 · 计算机科学 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

A graph drawing in the plane is called an almost embedding if the images of any two non-adjacent simplices (i.e. vertices or edges) are disjoint. Almost embeddings (more precisely, their higher-dimensional analogues) naturally appear in…

几何拓扑 · 数学 2026-03-10 E. Alkin , A. Miroshnikov , A. Skopenkov

Knowledge graph embeddings (KGEs) were originally developed to infer true but missing facts in incomplete knowledge repositories. In this paper, we link knowledge graph completion and counterfactual reasoning via our new task CFKGR. We…

机器学习 · 计算机科学 2024-03-12 Lena Zellinger , Andreas Stephan , Benjamin Roth

Large scale knowledge graph embedding has attracted much attention from both academia and industry in the field of Artificial Intelligence. However, most existing methods concentrate solely on fact triples contained in the given knowledge…

人工智能 · 计算机科学 2019-03-12 Pengwei Wang , Dejing Dou , Fangzhao Wu , Nisansa de Silva , Lianwen Jin

When analyzing weighted networks using spectral embedding, a judicious transformation of the edge weights may produce better results. To formalize this idea, we consider the asymptotic behavior of spectral embedding for different…

机器学习 · 统计学 2023-01-23 Ian Gallagher , Andrew Jones , Anna Bertiger , Carey Priebe , Patrick Rubin-Delanchy

A paradigm that was successfully applied in the study of both pure and algorithmic problems in graph theory can be colloquially summarized as stating that "any graph is close to being the disjoint union of expanders". Our goal in this paper…

组合数学 · 数学 2015-02-03 Guy Moshkovitz , Asaf Shapira

A graph is a mathematical object consisting of a set of vertices and a set of edges connecting vertices. Graphs can be drawn on paper in various ways, but until recently all published methods of drawing graphs have had undesirable…

人机交互 · 计算机科学 2014-05-22 Bob Blakley , G R Blakley , Sean M Blakley

Geometric graphs appear in many real-world data sets, such as road networks, sensor networks, and molecules. We investigate the notion of distance between embedded graphs and present a metric to measure the distance between two geometric…

数据结构与算法 · 计算机科学 2024-07-15 Erin Wolf Chambers , Elizabeth Munch , Sarah Percival , Xinyi Wang

In this study, we focus on the graph representation learning (a.k.a. network embedding) in attributed graphs. Different from existing embedding methods that treat the incorporation of graph structure and semantic as the simple combination…

社会与信息网络 · 计算机科学 2023-05-12 Meng Qin

In this extended abstract, we present a simple approach to convergence on term graphs that allows us to unify term graph rewriting and infinitary term rewriting. This approach is based on a partial order and a metric on term graphs. These…

计算机科学中的逻辑 · 计算机科学 2013-02-27 Patrick Bahr

Graphs are increasingly becoming ubiquitous as models for structured data. A generative model that closely mimics the structural properties of a given set of graphs has utility in a variety of domains. Much of the existing work require that…

社会与信息网络 · 计算机科学 2019-02-25 Revanth Reddy , Sarath Chandar , Balaraman Ravindran

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…

人工智能 · 计算机科学 2020-05-01 Federico Bianchi , Gaetano Rossiello , Luca Costabello , Matteo Palmonari , Pasquale Minervini

Graph editing problems offer an interesting perspective on sub- and supergraph identification problems for a large variety of target properties. They have also attracted significant attention in recent years, particularly in the area of…

计算复杂性 · 计算机科学 2017-03-06 Luke Mathieson

A significant portion of the data today, e.g, social networks, web connections, etc., can be modeled by graphs. A proper analysis of graphs with Machine Learning (ML) algorithms has the potential to yield far-reaching insights into many…

社会与信息网络 · 计算机科学 2020-09-11 Taha Atahan Akyildiz , Amro Alabsi Aljundi , Kamer Kaya

Low-dimensional node embeddings play a key role in analyzing graph datasets. However, little work studies exactly what information is encoded by popular embedding methods, and how this information correlates with performance in downstream…