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Identifying influential nodes plays a pivotal role in understanding, controlling, and optimizing the behavior of complex systems, ranging from social to biological and technological domains. Yet most centrality-based approaches rely on…

Physics and Society · Physics 2025-12-12 Yajing Hao , Longzhao Liu , Xin Wang , Zhihao Han , Ming Wei , Zhiming Zheng , Shaoting Tang

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

The whole frame of interconnections in complex networks hinges on a specific set of structural nodes, much smaller than the total size, which, if activated, would cause the spread of information to the whole network [1]; or, if immunized,…

Physics and Society · Physics 2015-08-27 Flaviano Morone , Hernan A. Makse

Identifying key influencers from time series data without a known prior network structure is a challenging problem in various applications, from crime analysis to social media. While much work has focused on event-based time series…

Dynamical Systems · Mathematics 2025-04-30 Naratip Santitissadeekorn , Martin Short , David J. B. Lloyd

We address the problem of influence maximization when the social network is accompanied by diffusion cascades. In prior works, such information is used to compute influence probabilities, which is utilized by stochastic diffusion models in…

Social and Information Networks · Computer Science 2020-11-23 George Panagopoulos , Fragkiskos D. Malliaros , Michalis Vazirgiannis

What drives the propensity for the social network dynamics? Social influence is believed to drive both off-line and on-line human behavior, however it has not been considered as a driver of social network evolution. Our analysis suggest…

Physics and Society · Physics 2016-05-27 Yang Yang , Nitesh V. Chawla , Ryan N. Lichtenwalter , Yuxiao Dong

Various kinds of spread of influence occur in real world social and virtual networks. These phenomena are formulated by activation processes and irreversible dynamic monopolies in combinatorial graphs representing the topology of the…

Discrete Mathematics · Computer Science 2024-03-05 Manouchehr Zaker

Identifying the most influential spreaders is important to understand and control the spreading process in a network. As many real-world complex systems can be modeled as multilayer networks, the question of identifying important nodes in…

Physics and Society · Physics 2021-01-08 Qi Zeng , Ying Liu , Liming Pan , Ming Tang

This article presents a rigorous mathematical analysis of the Friedkin--Johnsen model of social influence on networks. We frame the opinion dynamics as a discrete boundary-value problem on a network, emphasizing the role of stubborn…

Social and Information Networks · Computer Science 2026-02-10 Moses Boudourides

Link prediction models are increasingly used to recommend interactions in evolving networks, yet their impact on network structure is typically assessed from static snapshots. In particular, observed homophily conflates intrinsic…

Social and Information Networks · Computer Science 2026-03-05 Mathilde Perez , Raphaël Romero , Jefrey Lijffijt , Charlotte Laclau

Boolean networks serve as discrete models of regulation and signaling in biological cells. Identifying the key controllers of such processes is important for understanding the dynamical systems and planning further analysis. Here we…

Molecular Networks · Quantitative Biology 2012-09-14 Fakhteh Ghanbarnejad , Konstantin Klemm

The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this paper, statistical techniques for link prediction based on the…

Applications · Statistics 2021-09-01 Francesco Sanna Passino , Anna S. Bertiger , Joshua C. Neil , Nicholas A. Heard

Stochastic differential equations play an important role in various applications when modeling systems that have either random perturbations or chaotic dynamics at faster time scales. The time evolution of the probability distribution of a…

Numerical Analysis · Mathematics 2022-11-11 Yao Li , Caleb Meredith

In this paper we consider an extension of the well-known Influence Maximization Problem in a social network which deals with finding a set of k nodes to initiate a diffusion process so that the total number of influenced nodes at the end of…

Social and Information Networks · Computer Science 2019-04-19 Kübra Tanınmış , Necati Aras , İ. K. Altınel

Many stochastic differential equations in various applications like coupled neuronal oscillators are driven by time-periodic forces. In this paper, we extend several data-driven computational tools from autonomous Fokker-Planck equation to…

Numerical Analysis · Mathematics 2025-11-26 Yao Li , Jiatong Sun

This survey presents the main results achieved for the influence maximization problem in social networks. This problem is well studied in the literature and, thanks to its recent applications, some of which currently deployed on the field,…

Social and Information Networks · Computer Science 2018-06-21 Giuseppe De Nittis , Nicola Gatti

Spreading processes play an increasingly important role in modeling for diffusion networks, information propagation, marketing and opinion setting. We address the problem of learning of a spreading model such that the predictions generated…

Social and Information Networks · Computer Science 2021-07-27 Mateusz Wilinski , Andrey Y. Lokhov

We study the problems of estimating the past and future evolutions of two diffusion processes that spread concurrently on a network. Specifically, given a known network $G=(V, \overrightarrow{E})$ and a (possibly noisy) snapshot…

Social and Information Networks · Computer Science 2023-10-31 Nouman Khan , Kangle Mu , Mehrdad Moharrami , Vijay Subramanian

Components connected over a network influence each other and interact in various ways. Examples of such systems are networks of computing nodes, which the nodes interact by exchanging workload, for instance, for load balancing purposes. In…

Numerical Analysis · Mathematics 2020-06-30 Ehsan Siavashi , Mahshid Rahnamay-Naeini

We present a statistical framework for generating predicted dynamic networks based on the observed evolution of social relationships in a population. The framework includes a novel and flexible procedure to sample dynamic networks given a…

Social and Information Networks · Computer Science 2020-10-14 Ravi Goyal , Victor De Gruttola