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Information spreading in a population can be modeled as an epidemic. Campaigners (e.g. election campaign managers, companies marketing products or movies) are interested in spreading a message by a given deadline, using limited resources.…

Systems and Control · Computer Science 2014-01-28 Kundan Kandhway , Joy Kuri

We study the optimal control problem of allocating campaigning resources over the campaign duration and degree classes in a social network. Information diffusion is modeled as a Susceptible-Infected epidemic and direct recruitment of…

Social and Information Networks · Computer Science 2016-10-27 Kundan Kandhway , Joy Kuri

We study the optimal control problem of maximizing the spread of an information epidemic on a social network. Information propagation is modeled as a Susceptible-Infected (SI) process and the campaign budget is fixed. Direct recruitment and…

Social and Information Networks · Computer Science 2016-02-16 Kundan Kandhway , Joy Kuri

We model information dissemination as a susceptible-infected epidemic process and formulate a problem to jointly optimize seeds for the epidemic and time varying resource allocation over the period of a fixed duration campaign running on a…

Social and Information Networks · Computer Science 2017-06-29 Kundan Kandhway , Joy Kuri

We propose to model the phenomenon of the spread of a rumor in this paper. We manipulate a model that is based on SEIR model that specializes in spreading rumors. In the second part, we introduce a control strategy to fight against the…

Computers and Society · Computer Science 2023-09-26 Fulgence Mansal , Ibrahima Faye

Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

Optimization and Control · Mathematics 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu

In this work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scale-free asymptotic degree distribution. The mathematical model is formulated as a coupling of an opinion alignment…

Optimization and Control · Mathematics 2015-11-03 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered) epidemic models, focusing on different control policies: vaccination, isolation, culling, and reduction of transmission. Applying the Pontryagin's…

Optimization and Control · Mathematics 2017-06-15 Luca Bolzoni , Elena Bonacini , Cinzia Soresina , Maria Groppi

A heroin epidemic mathematical model with prevention information and treatment, as control interventions, is analyzed, assuming that an individual's behavioral response depends on the spreading of information about the effects of heroin.…

Optimization and Control · Mathematics 2022-10-24 Puthur Thangaraj Sowndarrajan , Lingeshwaran Shangerganesh , Amar Debbouche , Delfim F. M. Torres

We analyze optimal strategies for the allocation of a finite budget that can be invested in different advertising channels over time with the objective of influencing social opinions in a network of individuals. In our analysis, we consider…

Optimization and Control · Mathematics 2018-07-25 Soheil Eshghi , Victor M. Preciado , Saswati Sarkar , Santosh S. Venkatesh , Qing Zhao , Raissa D'Souza , Ananthram Swami

The spread of rumors through social media and online social networks can not only disrupt the daily lives of citizens but also result in loss of life and property. A rumor spreads when individuals, who are unable decide the authenticity of…

Physics and Society · Physics 2014-04-29 Bhushan Kotnis , Joy Kuri

In this paper we present an information theoretic approach to stochastic optimal control problems for systems with compound Poisson noise. We generalize previous work on information theoretic path integral control to discontinuous dynamics…

Optimization and Control · Mathematics 2019-07-03 Ziyi Wang , Grady Williams , Evangelos A. Theodorou

The spread of rumors in online networks threatens public safety and results in economic losses. To overcome this problem, a lot of work studies the problem of rumor control which aims at limiting the spread of rumors. However, all previous…

Social and Information Networks · Computer Science 2023-03-20 Pengfei Xu , Zhiyong Peng , Liwei Wang

In this paper, a stochastic dynamic control strategy is presented to prevent the spread of an infection over a homogeneous network. The infectious process is persistent, i.e., it continues to contaminate the network once it is established.…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Jalal Arabneydi , Amir G. Aghdam

In this paper, we address a social planner's optimal control problem for a partially observable stochastic epidemic model. The control measures include social distancing, testing, and vaccination. Using a diffusion approximation for the…

Optimization and Control · Mathematics 2025-03-11 Ibrahim Mbouandi Njiasse , Florent Ouabo Kamkumo , Ralf Wunderlich

In communications, unknown variables are usually modelled as random variables, and concepts such as independence, entropy and information are defined in terms of the underlying probability distributions. In contrast, control theory often…

Systems and Control · Computer Science 2014-01-14 Girish N. Nair

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

Physics and Society · Physics 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

We consider the problem of reliable epidemic dissemination of a rumor in a fully connected network of~$n$ processes using push and pull operations. We revisit the random phone call model and show that it is possible to disseminate a rumor…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Hugues Mercier , Laurent Hayez , Miguel Matos

The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of "influential spreaders" for maximizing information dissemination and…

Social and Information Networks · Computer Science 2022-06-01 Andrey Y. Lokhov , David Saad
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