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This paper introduces and demonstrates a computational pipeline for the statistical analysis of shape graph datasets, namely geometric networks embedded in 2D or 3D spaces. Unlike traditional abstract graphs, our purpose is not only to…

机器学习 · 计算机科学 2026-02-19 Murad Hossen , Demetrio Labate , Nicolas Charon

A graphon is a limiting object used to describe the behaviour of large networks through a function that captures the probability of edge formation between nodes. Although the merits of graphons to describe large and unlabelled networks are…

统计方法学 · 统计学 2024-08-23 Charles Dufour , Sofia C. Olhede

In this technical note, we study the controllability of diffusively coupled networks from a graph theoretic perspective. We consider leader-follower networks, where the external control inputs are injected to only some of the agents, namely…

系统与控制 · 计算机科学 2016-08-17 A. Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

Network science provides valuable insights across numerous disciplines including sociology, biology, neuroscience and engineering. A task of major practical importance in these application domains is inferring the network structure from…

机器学习 · 计算机科学 2019-05-01 Vassilis N. Ioannidis , Yanning Shen , Georgios B. Giannakis

We consider the problem of sequential graph topology change-point detection from graph signals. We assume that signals on the nodes of the graph are regularized by the underlying graph structure via a graph filtering model, which we then…

机器学习 · 统计学 2020-10-23 Chiraag Kaushik , T. Mitchell Roddenberry , Santiago Segarra

Despite the success of the carefully-annotated benchmarks, the effectiveness of existing graph neural networks (GNNs) can be considerably impaired in practice when the real-world graph data is noisily labeled. Previous explorations in…

机器学习 · 计算机科学 2024-08-30 Yuhao Wu , Jiangchao Yao , Xiaobo Xia , Jun Yu , Ruxin Wang , Bo Han , Tongliang Liu

Graphs are an intuitive way to represent relationships between variables in fields such as finance and neuroscience. However, these graphs often need to be inferred from data. In this paper, we propose a novel framework to infer a latent…

统计方法学 · 统计学 2024-10-25 Jedidiah Harwood , Debashis Paul , Jie Peng

Processes such as disease propagation and information diffusion often spread over some latent network structure which must be learned from observation. Given a set of unlabeled training examples representing occurrences of an event type of…

机器学习 · 统计学 2017-01-09 Sriram Somanchi , Daniel B. Neill

Many real world network problems often concern multivariate nodal attributes such as image, textual, and multi-view feature vectors on nodes, rather than simple univariate nodal attributes. The existing graph estimation methods built on…

机器学习 · 统计学 2013-04-23 Mladen Kolar , Han Liu , Eric P. Xing

Understanding causal relationships among the variables of a system is paramount to explain and control its behavior. For many real-world systems, however, the true causal graph is not readily available and one must resort to predictions…

We propose a method for gene expression based analysis of cancer phenotypes incorporating network biology knowledge through unsupervised construction of computational graphs. The structural construction of the computational graphs is driven…

Network data, commonly used throughout the physical, social, and biological sciences, consist of nodes (individuals) and the edges (interactions) between them. One way to represent network data's complex, high-dimensional structure is to…

统计方法学 · 统计学 2024-08-27 Steven Wilkins-Reeves , Tyler McCormick

Discovering distinct features and their relations from data can help us uncover valuable knowledge crucial for various tasks, e.g., classification. In neuroimaging, these features could help to understand, classify, and possibly prevent…

机器学习 · 计算机科学 2022-02-15 Usman Mahmood , Zening Fu , Vince Calhoun , Sergey Plis

Falsification is the basis for testing existing hypotheses, and a great danger is posed when results incorrectly reject our prior notions (false positives). Though nonparametric and nonlinear exploratory methods of uncovering coupling…

统计方法学 · 统计学 2022-06-08 Ameer Ghouse , Gaetano Valenza

In this paper, we study a hypothesis test to determine the underlying directed graph structure of nodes in a network, where the nodes represent random processes and the direction of the links indicate a causal relationship between said…

信息论 · 计算机科学 2021-08-26 Sina Molavipour , Germán Bassi , Mikael Skoglund

The increasing availability of data has generated unprecedented prospects for network analyses in many biological fields, such as neuroscience (e.g., brain networks), genomics (e.g., gene-gene interaction networks), and ecology (e.g.,…

统计方法学 · 统计学 2021-02-05 Lu Yu , Tobias Kaufmann , Johannes Lederer

Due to the development of graph neural networks, graph-based representation learning methods have made great progress in recommender systems. However, data sparsity is still a challenging problem that most graph-based recommendation methods…

信息检索 · 计算机科学 2021-10-25 Chaoyang Wang , Zhiqiang Guo , Guohui Li , Jianjun Li , Peng Pan , Ke Liu

We propose a theoretical framework for training Graph Neural Networks (GNNs) on large input graphs via training on small, fixed-size sampled subgraphs. This framework is applicable to a wide range of models, including popular sampling-based…

机器学习 · 计算机科学 2023-10-18 Yeganeh Alimohammadi , Luana Ruiz , Amin Saberi

The coarsest approximation of the structure of a complex network, such as the Internet, is a simple undirected unweighted graph. This approximation, however, loses too much detail. In reality, objects represented by vertices and edges in…

网络与互联网体系结构 · 计算机科学 2009-11-02 Xenofontas Dimitropoulos , Dmitri Krioukov , Amin Vahdat , George Riley

In this paper, we focus on learning sparse graphs with a core-periphery structure. We propose a generative model for data associated with core-periphery structured networks to model the dependence of node attributes on core scores of the…

机器学习 · 计算机科学 2021-10-11 Sravanthi Gurugubelli , Sundeep Prabhakar Chepuri