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Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

机器学习 · 计算机科学 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

Hypergraphs play a pivotal role in the modelling of data featuring higher-order relations involving more than two entities. Hypergraph neural networks emerge as a powerful tool for processing hypergraph-structured data, delivering…

机器学习 · 计算机科学 2024-06-04 Zexi Liu , Bohan Tang , Ziyuan Ye , Xiaowen Dong , Siheng Chen , Yanfeng Wang

We propose a Bayesian approximate inference method for learning the dependence structure of a Gaussian graphical model. Using pseudo-likelihood, we derive an analytical expression to approximate the marginal likelihood for an arbitrary…

机器学习 · 统计学 2017-04-13 Janne Leppä-aho , Johan Pensar , Teemu Roos , Jukka Corander

We present a graph neural network model for solving graph-to-graph learning problems. Most deep learning on graphs considers ``simple'' problems such as graph classification or regressing real-valued graph properties. For such tasks, the…

机器学习 · 计算机科学 2021-06-08 Guan Wang , Francois Bernard Lauze , Aasa Feragen

Recent studies have shown great promise in applying graph neural networks for multivariate time series forecasting, where the interactions of time series are described as a graph structure and the variables are represented as the graph…

机器学习 · 计算机科学 2022-06-29 Junchen Ye , Zihan Liu , Bowen Du , Leilei Sun , Weimiao Li , Yanjie Fu , Hui Xiong

Graphical models in extremes have emerged as a diverse and quickly expanding research area in extremal dependence modeling. They allow for parsimonious statistical methodology and are particularly suited for enforcing sparsity in…

统计方法学 · 统计学 2024-02-06 Sebastian Engelke , Manuel Hentschel , Michaël Lalancette , Frank Röttger

Graphs are widely used for modeling various types of interactions, such as email communications and online discussions. Many of such real-world graphs are temporal, and specifically, they grow over time with new nodes and edges. Counting…

社会与信息网络 · 计算机科学 2023-01-04 Deukryeol Yoon , Dongjin Lee , Minyoung Choe , Kijung Shin

We show that viewing graphs as sets of node features and incorporating structural and positional information into a transformer architecture is able to outperform representations learned with classical graph neural networks (GNNs). Our…

机器学习 · 计算机科学 2021-06-11 Grégoire Mialon , Dexiong Chen , Margot Selosse , Julien Mairal

Learning the Markov network structure from data is a problem that has received considerable attention in machine learning, and in many other application fields. This work focuses on a particular approach for this purpose called…

人工智能 · 计算机科学 2013-07-16 Alejandro Edera , Federico Schlüter , Facundo Bromberg

Graphs are structured data that models complex relations between real-world entities. Heterophilic graphs, where linked nodes are prone to be with different labels or dissimilar features, have recently attracted significant attention and…

社会与信息网络 · 计算机科学 2025-03-21 Chenghua Gong , Yao Cheng , Jianxiang Yu , Can Xu , Caihua Shan , Siqiang Luo , Xiang Li

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

社会与信息网络 · 计算机科学 2020-02-06 Xiaoxiao Li , Joao Saude

A hypergraph is a data structure composed of nodes and hyperedges, where each hyperedge is an any-sized subset of nodes. Due to the flexibility in hyperedge size, hypergraphs represent group interactions (e.g., co-authorship by more than…

社会与信息网络 · 计算机科学 2023-06-06 Minyoung Choe , Sunwoo Kim , Jaemin Yoo , Kijung Shin

Multivariate time series is prevalent in many scientific and industrial domains. Modeling multivariate signals is challenging due to their long-range temporal dependencies and intricate interactions--both direct and indirect. To confront…

机器学习 · 计算机科学 2023-12-01 Juhyeon Kim , Hyungeun Lee , Seungwon Yu , Ung Hwang , Wooyul Jung , Miseon Park , Kijung Yoon

Identifying critical nodes and links in graphs is a crucial task. These nodes/links typically represent critical elements/communication links that play a key role in a system's performance. However, a majority of the methods available in…

社会与信息网络 · 计算机科学 2022-05-31 Sai Munikoti , Laya Das , Balasubramaniam Natarajan

A new class of graphical models capturing the dependence structure of events that occur in time is proposed. The graphs represent so-called local independences, meaning that the intensities of certain types of events are independent of some…

统计理论 · 数学 2013-07-11 Vanessa Didelez

Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

社会与信息网络 · 计算机科学 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

There has been an increased interest in applying machine learning techniques on relational structured-data based on an observed graph. Often, this graph is not fully representative of the true relationship amongst nodes. In these settings,…

机器学习 · 统计学 2022-08-05 Florence Regol , Soumyasundar Pal , Jianing Sun , Yingxue Zhang , Yanhui Geng , Mark Coates

Machine learning on graphs is an important and ubiquitous task with applications ranging from drug design to friendship recommendation in social networks. The primary challenge in this domain is finding a way to represent, or encode, graph…

社会与信息网络 · 计算机科学 2018-04-11 William L. Hamilton , Rex Ying , Jure Leskovec

Inferring dependence structure through undirected graphs is crucial for uncovering the major modes of multivariate interaction among high-dimensional genomic markers that are potentially associated with cancer. Traditionally, conditional…

统计方法学 · 统计学 2016-04-04 Anindya Bhadra , Arvind Rao , Veerabhadran Baladandayuthapani

Graphs are quickly emerging as a leading abstraction for the representation of data. One important application domain originates from an emerging discipline called "connectomics". Connectomics studies the brain as a graph; vertices…

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