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We consider the problem of predicting the time evolution of influence, the expected number of activated nodes, given a set of initially active nodes on a propagation network. To address the significant computational challenges of this…

Social and Information Networks · Computer Science 2017-01-10 Shui-Nee Chow , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

Estimating the treatment effect within network structures is a key focus in online controlled experiments, particularly for social media platforms. We investigate a scenario where the unit-level outcome of interest comprises a series of…

Methodology · Statistics 2025-05-28 Yilin Li , Lu Deng , Yong Wang , Wang Miao

The most widely discussed methods for estimating the Average Causal Effect/Average Treatment Effect are those for intervention in discrete binary variables whose value represents intervention/non-intervention groups. On the other hand,…

Machine Learning · Statistics 2022-03-21 Yoshiaki Kitazawa

This study presents a dynamic Bayesian network framework that facilitates intuitive gradual edge changes. We use two conditional dynamics to model the edge addition and deletion, and edge selection separately. Unlike previous research that…

Methodology · Statistics 2025-05-08 Lupe S. H. Chan , Amanda M. Y. Chu , Mike K. P. So

Using the dynamics of information propagation on a network as our illustrative example, we present and discuss a systematic approach to quantifying heterogeneity and its propagation that borrows established tools from Uncertainty…

Adaptation and Self-Organizing Systems · Physics 2015-11-25 Karthikeyan Rajendran , Andreas C. Tsoumanis , Constantinos I. Siettos , Carlo R. Laing , Ioannis G. Kevrekidis

We introduce the \emph{pipeline intervention} problem, defined by a layered directed acyclic graph and a set of stochastic matrices governing transitions between successive layers. The graph is a stylized model for how people from different…

Computer Science and Game Theory · Computer Science 2020-09-01 Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

This paper introduces a unified computational framework for the anonymization problem in social networks, where the objective is to maximize node anonymity through graph alterations. We define three variants of the underlying optimization…

Social and Information Networks · Computer Science 2026-04-14 Rachel G. de Jong , Mark P. J. van der Loo , Frank W. Takes

Causal inference has traditionally focused on interventions at the unit level. In many applications, however, the central question concerns the causal effects of connections between units, such as transportation links, social relationships,…

Methodology · Statistics 2026-01-13 Shuli Chen , Jie Hu , Zhichao Jiang

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

Selecting the optimal subset from all vertices as seeds to maximize the influence in a social network has been a task of interest. Various methods have been proposed to select the optimal vertices in a static network, however, they are…

Social and Information Networks · Computer Science 2020-10-22 Fangqi Li , Chong Di , Shenghong Li

The emergence of collective dynamics in neural networks is a mechanism of the animal and human brain for information processing. In this paper, we develop a computational technique using distributed processing elements in a complex network,…

Artificial Intelligence · Computer Science 2018-02-20 Filipe Alves Neto Verri , Paulo Roberto Urio , Liang Zhao

This paper investigates the case of interference, when a unit's treatment also affects other units' outcome. When interference is at work, policy evaluation mostly relies on the use of randomized experiments under cluster interference and…

Methodology · Statistics 2023-06-13 Laura Forastiere , Davide Del Prete , Valerio Leone Sciabolazza

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

Symmetries are widespread in physical, technological, biological, and social systems and networks, including power grids. The swing equation is a classic model for the dynamics of powergrid networks. The main goal of this paper is to…

Systems and Control · Electrical Eng. & Systems 2021-07-26 Kshitij Bhatta , Majeed Hayat , Francesco Sorrentino

We propose a generalization of the synthetic controls and synthetic interventions methodology to incorporate network interference. We consider the estimation of unit-specific potential outcomes from panel data in the presence of spillover…

Econometrics · Economics 2023-10-13 Anish Agarwal , Sarah H. Cen , Devavrat Shah , Christina Lee Yu

Network interference, where the outcome of an individual is affected by the treatment assignment of those in their social network, is pervasive in real-world settings. However, it poses a challenge to estimating causal effects. We consider…

Methodology · Statistics 2024-02-06 Mayleen Cortez-Rodriguez , Matthew Eichhorn , Christina Lee Yu

Boolean networks with canalizing functions are used to model gene regulatory networks. In order to learn how such networks may behave under evolutionary forces, we simulate the evolution of a single Boolean network by means of an adaptive…

Populations and Evolution · Quantitative Biology 2011-11-09 Agnes Szejka , Barbara Drossel

Understanding design principles of molecular interaction networks is an important goal of molecular systems biology. Some insights have been gained into features of their network topology through the discovery of graph theoretic patterns…

Molecular Networks · Quantitative Biology 2013-01-18 David Murrugarra , Reinhard Laubenbacher

Latent space models are effective tools for statistical modeling and exploration of network data. These models can effectively model real world network characteristics such as degree heterogeneity, transitivity, homophily, etc. Due to their…

Methodology · Statistics 2017-08-21 Zhuang Ma , Zongming Ma

The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is commonly focalised on edge processes, and a dual edge-centric perspective can…

Physics and Society · Physics 2014-04-25 Michael T. Schaub , Jörg Lehmann , Sophia N. Yaliraki , Mauricio Barahona