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The study of complex systems has attracted widespread attention from researchers in the fields of natural sciences, social sciences, and engineering. Prediction is one of the central issues in this field. Although most related studies have…

Physics and Society · Physics 2025-10-21 En Xu , Yilin Bi , Hongwei Hu , Xin Chen , Zhiwen Yu , Yong Li , Yanqing Hu , Tao Zhou

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

Link prediction is one of the fundamental problems in network analysis. In many applications, notably in genetics, a partially observed network may not contain any negative examples of absent edges, which creates a difficulty for many…

Machine Learning · Statistics 2013-01-30 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

Background Network analyses on psychopathological data focus on the network structure and its derivatives such as node centrality. One conclusion one can draw from centrality measures is that the node with the highest centrality is likely…

Neurons and Cognition · Quantitative Biology 2017-06-21 Jonas M B Haslbeck , Eiko I Fried

Networks are models representing relationships between entities. Often these relationships are explicitly given, or we must learn a representation which generalizes and predicts observed behavior in underlying individual data (e.g.…

Social and Information Networks · Computer Science 2017-09-19 Ivan Brugere , Chris Kanich , Tanya Y. Berger-Wolf

A principled approach to understand network structures is to formulate generative models. Given a collection of models, however, an outstanding key task is to determine which one provides a more accurate description of the network at hand,…

Machine Learning · Statistics 2018-06-29 Toni Vallès-Català , Tiago P. Peixoto , Roger Guimerà , Marta Sales-Pardo

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

Networks representing complex systems in nature and society usually involve multiple interaction types. These types suggest essential information on the interactions between components, but not all of the existing types are usually…

Physics and Society · Physics 2021-04-27 Wenjie Jia , Manuel S. Mariani , Linyuan Lü , Tao Jiang

Inference and prediction are fundamental to the study of complex systems, where network data are often incomplete, inaccurate or obtained indirectly. In this paper, we review recent advances in network sampling and comparison, as well as in…

Statistical Mechanics · Physics 2025-12-09 Francisco A. Rodrigues

Observability and controllability are essential concepts to the design of predictive observer models and feedback controllers of networked systems. For example, noncontrollable mathematical models of real systems have subspaces that…

Neurons and Cognition · Quantitative Biology 2018-04-18 Andrew J. Whalen , Sean N. Brennan , Timothy D. Sauer , Steven J. Schiff

Network inference is the process of learning the properties of complex networks from data. Besides using information about known links in the network, node attributes and other forms of network metadata can help to solve network inference…

Data Analysis, Statistics and Probability · Physics 2021-03-29 Oscar Fajardo-Fontiveros , Marta Sales-Pardo , Roger Guimera

Link prediction is a paradigmatic problem in network science, which aims at estimating the existence likelihoods of nonobserved links, based on known topology. After a brief introduction of the standard problem and metrics of link…

Data Analysis, Statistics and Probability · Physics 2021-12-14 Tao Zhou

There is a trend toward the use of predictive systems in communications networks. At the systems and network management level predictive capabilities are focused on anticipating network faults and performance degradation. Simultaneously,…

Networking and Internet Architecture · Computer Science 2007-05-23 Stephen F. Bush , Victor S. Frost , Joseph B. Evans

The ubiquity of machine learning based predictive models in modern society naturally leads people to ask how trustworthy those models are? In predictive modeling, it is quite common to induce a trade-off between accuracy and…

Machine Learning · Computer Science 2019-04-05 John Mitros , Brian Mac Namee

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

We revisit the elegant observation of T. Cover '65 which, perhaps, is not as well-known to the broader community as it should be. The first goal of the tutorial is to explain---through the prism of this elementary result---how to solve…

Machine Learning · Computer Science 2016-09-01 Alexander Rakhlin , Karthik Sridharan

The large majority of inferences drawn in empirical political research follow from model-based associations (e.g. regression). Here, we articulate the benefits of predictive modeling as a complement to this approach. Predictive models aim…

Methodology · Statistics 2016-12-20 Skyler J. Cranmer , Bruce A. Desmarais

Real networks exhibit heterogeneous nature with nodes playing far different roles in structure and function. To identify vital nodes is thus very significant, allowing us to control the outbreak of epidemics, to conduct advertisements for…

Physics and Society · Physics 2016-09-21 Linyuan Lü , Duanbing Chen , Xiao-Long Ren , Qian-Ming Zhang , Yi-Cheng Zhang , Tao Zhou
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