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We introduce the notion of Hypergraph Weighted Model (HWM) that generically associates a tensor network to a hypergraph and then computes a value by tensor contractions directed by its hyperedges. A series r defined on a hypergraph family…

Formal Languages and Automata Theory · Computer Science 2014-10-17 Raphaël Bailly , François Denis , Guillaume Rabusseau

Graph coloring involves assigning colors to the vertices of a graph such that two vertices linked by an edge receive different colors. Graph coloring problems are general models that are very useful to formulate many relevant applications…

Machine Learning · Computer Science 2020-10-27 Olivier Goudet , Béatrice Duval , Jin-Kao Hao

As one of the mainstream models of artificial intelligence, world models allow agents to learn the representation of the environment for efficient prediction and planning. However, classical world models based on flat tensors face several…

Artificial Intelligence · Computer Science 2026-05-01 Jiawei Liu , Senqiao Yang , Mingjun Wang , Yu Wang , Bei Yu

In most domains of network analysis researchers consider networks that arise in nature with weighted edges. Such networks are routinely dichotomized in the interest of using available methods for statistical inference with networks. The…

Methodology · Statistics 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

The growing complexity of wireless systems has accelerated the move from traditional methods to learning-based solutions. Graph Neural Networks (GNNs) are especially well-suited here, since wireless networks can be naturally represented as…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Romina Garcia Camargo , Zhiyang Wang , Alejandro Ribeiro

Graph Convolutional Networks (GCNs) have shown strong performance in learning text representations for various tasks such as text classification, due to its expressive power in modeling graph structure data (e.g., a literature citation…

Computation and Language · Computer Science 2023-05-12 Zhibin Lu , Qianqian Xie , Benyou Wang , Jian-yun Nie

Wireless networks are inherently graph-structured, which can be utilized in graph representation learning to solve complex wireless network optimization problems. In graph representation learning, feature vectors for each entity in the…

Information Theory · Computer Science 2024-10-28 Maryam Mohsenivatani , Samad Ali , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-Aho

Graph Foundation Models (GFMs) are emerging as a significant research topic in the graph domain, aiming to develop graph models trained on extensive and diverse data to enhance their applicability across various tasks and domains.…

Machine Learning · Computer Science 2024-06-03 Haitao Mao , Zhikai Chen , Wenzhuo Tang , Jianan Zhao , Yao Ma , Tong Zhao , Neil Shah , Mikhail Galkin , Jiliang Tang

Pretrained Language Models (PLMs) such as BERT have revolutionized the landscape of Natural Language Processing (NLP). Inspired by their proliferation, tremendous efforts have been devoted to Pretrained Graph Models (PGMs). Owing to the…

Machine Learning · Computer Science 2022-03-22 Jun Xia , Yanqiao Zhu , Yuanqi Du , Stan Z. Li

In real-world networks, predicting the weight (strength) of links is as crucial as predicting the existence of the links themselves. Previous studies have primarily used shallow graph features for link weight prediction, limiting the…

Social and Information Networks · Computer Science 2024-10-29 Jinbi Liang , Cunlai Pu , Xiangbo Shu , Yongxiang Xia , Chengyi Xia

Topological metrics of graphs provide a natural way to describe the prominent features of various types of networks. Graph metrics describe the structure and interplay of graph edges and have found applications in many scientific fields. In…

Data Structures and Algorithms · Computer Science 2018-06-21 Loukianos Spyrou , Javier Escudero

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

Inferring temporal interaction graphs and higher-order structure from neural signals is a key problem in building generative models for systems neuroscience. Foundation models for large-scale neural data represent shared latent structures…

Machine Learning · Computer Science 2025-08-26 Nathan X. Kodama , Kenneth A. Loparo

Graph neural networks (GNNs) use graph convolutions to exploit network invariances and learn meaningful feature representations from network data. However, on large-scale graphs convolutions incur in high computational cost, leading to…

Machine Learning · Computer Science 2022-06-29 Juan Cervino , Luana Ruiz , Alejandro Ribeiro

As the popularity of graph data increases, there is a growing need to count the occurrences of subgraph patterns of interest, for a variety of applications. Many graphs are massive in scale and also fully dynamic (with insertions and…

Databases · Computer Science 2022-11-15 Kaixin Wang , Cheng Long , Da Yan , Jie Zhang , H. V. Jagadish

Modern deep transfer learning approaches have mainly focused on learning generic feature vectors from one task that are transferable to other tasks, such as word embeddings in language and pretrained convolutional features in vision.…

Machine Learning · Computer Science 2018-07-04 Zhilin Yang , Jake Zhao , Bhuwan Dhingra , Kaiming He , William W. Cohen , Ruslan Salakhutdinov , Yann LeCun

Graph is an usual representation of relational data, which are ubiquitous in manydomains such as molecules, biological and social networks. A popular approach to learningwith graph structured data is to make use of graph kernels, which…

Machine Learning · Computer Science 2022-08-02 Dai Hai Nguyen , Canh Hao Nguyen , Hiroshi Mamitsuka

This paper describes a novel approach to learning term-weighting schemes (TWSs) in the context of text classification. In text mining a TWS determines the way in which documents will be represented in a vector space model, before applying a…

Neural and Evolutionary Computing · Computer Science 2014-10-08 Hugo Jair Escalante , Mauricio A. García-Limón , Alicia Morales-Reyes , Mario Graff , Manuel Montes-y-Gómez , Eduardo F. Morales

Graphs are a powerful data structure to represent relational data and are widely used to describe complex real-world data structures. Probabilistic Graphical Models (PGMs) have been well-developed in the past years to mathematically model…

Artificial Intelligence · Computer Science 2023-01-31 Chenqing Hua , Sitao Luan , Qian Zhang , Jie Fu

Graph Neural Networks (GNNs) have achieved remarkable success across diverse tasks on graph-structured data, primarily through the use of learned weights in message passing layers. In this paper, we demonstrate that random weights can be…

Machine Learning · Computer Science 2025-02-04 Thu Bui , Carola-Bibiane Schönlieb , Bruno Ribeiro , Beatrice Bevilacqua , Moshe Eliasof
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