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High dimensional Gaussian graphical models provide a rigorous framework to describe a network of statistical dependencies between entities, such as genes in genomic regulation studies or species in ecology. Penalized methods, including the…

统计方法学 · 统计学 2025-09-04 Jeanne Tous , Julien Chiquet

There are many networks in real life which exist as form of Scale-free networks such as World Wide Web, protein-protein interaction network, semantic networks, airline networks, interbank payment networks, etc. If we want to analyze these…

社会与信息网络 · 计算机科学 2026-03-23 Rakib Hassan Pran

Reconstructing a network of dynamic systems from observational data is an active area of research. Many approaches guarantee a consistent reconstruction under the relatively strong assumption that the network dynamics is governed by…

系统与控制 · 电气工程与系统科学 2020-11-12 Mihaela Dimovska , Donatello Materassi

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

统计方法学 · 统计学 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different spanning trees to a set of destinations, has been argued to…

Network analysis is currently used in a myriad of contexts: from identifying potential drug targets to predicting the spread of epidemics and designing vaccination strategies, and from finding friends to uncovering criminal activity.…

数据分析、统计与概率 · 物理学 2010-04-28 R. Guimera , M. Sales-Pardo

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

离散数学 · 计算机科学 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

For many complex networks present in nature only a single instance, usually of large size, is available. Any measurement made on this single instance cannot be repeated on different realizations. In order to detect significant patterns in a…

In the analysis of large-scale network data, a fundamental operation is the comparison of observed phenomena to the predictions provided by null models: when we find an interesting structure in a family of real networks, it is important to…

社会与信息网络 · 计算机科学 2021-02-26 Katherine Van Koevering , Austin R. Benson , Jon Kleinberg

This paper develops and analyzes optimization models for rapid detection of viruses in large contact networks. In the model, a virus spreads in a stochastic manner over an undirected connected graph, under various assumptions on the spread…

最优化与控制 · 数学 2021-06-16 Sudesh K. Agrawal , John J. Hasenbein

The proportion of edges in a Gaussian graphical model (GGM) characterizes the complexity of its conditional dependence structure. Since edge presence corresponds to a nonzero entry of the precision matrix, estimation of this proportion can…

统计方法学 · 统计学 2026-03-05 Nabaneet Das , Thorsten Dickhaus

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

定量方法 · 定量生物学 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

Due to the limited resources and the scale of the graphs in modern datasets, we often get to observe a sampled subgraph of a larger original graph of interest, whether it is the worldwide web that has been crawled or social connections that…

机器学习 · 计算机科学 2018-12-04 Ashish Khetan , Harshay Shah , Sewoong Oh

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

统计方法学 · 统计学 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Network systems have become a ubiquitous modeling tool in many areas of science where nodes in a graph represent distributed processes and edges between nodes represent a form of dynamic coupling. When a network topology is already known…

适应与自组织系统 · 物理学 2019-05-30 Donatello Materassi , Murti V. Salapaka

Graphical model estimation from multi-omics data requires a balance between statistical estimation performance and computational scalability. We introduce a novel pseudolikelihood-based graphical model framework that reparameterizes the…

机器学习 · 统计学 2025-09-23 Sungdong Lee , Joshua Bang , Youngrae Kim , Hyungwon Choi , Sang-Yun Oh , Joong-Ho Won

In this paper, we study the robustness of graph convolutional networks (GCNs). Previous work have shown that GCNs are vulnerable to adversarial perturbation on adjacency or feature matrices of existing nodes; however, such attacks are…

机器学习 · 计算机科学 2020-09-07 Xiaoyun Wang , Minhao Cheng , Joe Eaton , Cho-Jui Hsieh , Felix Wu

The complex interactions involved in regulation of a cell's function are captured by its interaction graph. More often than not, detailed knowledge about enhancing or suppressive regulatory influences and cooperative effects is lacking and…

分子网络 · 定量生物学 2013-02-15 Gunnar Boldhaus , Florian Greil , Konstantin Klemm

Exploring statistics of locally connected subgraph patterns (also known as network motifs) has helped researchers better understand the structure and function of biological and online social networks (OSNs). Nowadays the massive size of…

社会与信息网络 · 计算机科学 2014-03-28 Pinghui Wang , John C. S. Lui , Bruno Ribeiro , Don Towsley , Junzhou Zhao , Xiaohong Guan

One significant challenge of exploiting Graph neural networks (GNNs) in real-life scenarios is that they are always treated as black boxes, therefore leading to the requirement of interpretability. To address this, model-level…

机器学习 · 计算机科学 2025-09-22 Xiao Yue , Guangzhi Qu , Lige Gan