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Many studies employ the analysis of time-to-event data that incorporates competing risks and right censoring. Most methods and software packages are geared towards analyzing data that comes from a continuous failure time distribution.…

Methodology · Statistics 2025-06-06 Tomer Meir , Malka Gorfine

Epidemic processes are used commonly for modeling and analysis of biological networks, computer networks, and human contact networks. The idea of competing viruses has been explored recently, motivated by the spread of different ideas along…

Optimization and Control · Mathematics 2017-05-16 Philip E. Paré , Ji Liu , Carolyn L. Beck , Angelia Nedić , Tamer Başar

This paper proposes a novel discrete-time multi-virus SIR (susceptible-infected-recovered) model that captures the spread of competing SIR epidemics over a population network. First, we provide a sufficient condition for the infection level…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Ciyuan Zhang , Sebin Gracy , Tamer Basar , Philip E. Pare

This paper proposes a novel discrete-time multi-virus susceptible-infected-recovered (SIR) model that captures the spread of competing epidemics over a population network. First, we provide sufficient conditions for the infection level of…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Ciyuan Zhang , Sebin Gracy , Tamer Basar , Philip E. Pare

In this paper we present the discrete-time networked SIR and SEIR models and present assumptions under which they are well defined. We analyze the limiting behavior of the models and present necessary and sufficient conditions for…

Optimization and Control · Mathematics 2020-11-25 Damir Vrabac , Raphael Stern , Philip E. Paré

Online parameter identification is of importance, e.g., for model predictive control. Since the parameters have to be identified simultaneously to the process of the modeled system, dynamical update laws are used for state and parameter…

Numerical Analysis · Mathematics 2016-04-20 Romana Boiger , Barbara Kaltenbacher

The temporal dynamics of social interactions were shown to influence the spread of disease. Here, we model the conditions of progression and competition for several viral strains, exploring various levels of cross-immunity over temporal…

Physics and Society · Physics 2022-06-14 Alex Abbey , Yuval Shahar , Osnat Mokryn

Mathematical models of the real world are simplified representations of complex systems. A caveat to using mathematical models is that predicted causal effects and conditional independences may not be robust under model extensions, limiting…

Methodology · Statistics 2022-08-30 Tineke Blom , Joris M. Mooij

We study the spread of multi-competitive viruses over a (possibly) time-varying network of individuals accounting for the presence of shared infrastructure networks that further enables transmission of the virus. We establish a sufficient…

Systems and Control · Electrical Eng. & Systems 2023-03-17 Sebin Gracy , Yuan Wang , Philip E. Pare , Cesar A Uribe

We revisit the problem of estimating the parameters of a partially observed diffusion process, consisting of a hidden state process and an observed process, with a continuous time parameter. The estimation is to be done online, i.e. the…

Optimization and Control · Mathematics 2018-10-16 Simone Carlo Surace , Jean-Pascal Pfister

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

Optimization and Control · Mathematics 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

The majority of research on epidemics relies on models which are formulated in continuous-time. However, real-world epidemic data is gathered and processed in a digital manner, which is more accurately described by discrete-time epidemic…

Optimization and Control · Mathematics 2021-07-23 Bastian Prasse , Piet Van Mieghem

Though competitive analysis has been a very useful performance measure for the quality of online algorithms, it is recognized that it sometimes fails to distinguish between algorithms of different quality in practice. A number of…

Data Structures and Algorithms · Computer Science 2015-03-19 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

Understanding the process by which a contagion disseminates throughout a network is of great importance in many real world applications. The required sophistication of the inference approach depends on the type of information we want to…

Social and Information Networks · Computer Science 2017-05-26 Shohreh Shaghaghian , Mark Coates

The paper deals with the analysis of a discrete-time networked competitive bivirus susceptible-infected-susceptible (SIS) model. More specifically, we suppose that virus 1 and virus 2 are circulating in the population and are in competition…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Sebin Gracy , Ji Liu , Tamer Basar , Cesar A. Uribe

In this work, we investigate online mechanisms for trading time-sensitive valued data. We adopt a continuous function $d(t)$ to represent the data value fluctuation over time $t$. Our objective is to design an \emph{online} mechanism…

Computer Science and Game Theory · Computer Science 2022-10-21 Shuangshuang Xue , Xiang-Yang Li

We propose a competitive bi-virus model with dynamic social distancing behavior. Our model illustrates how public perception of different viruses changes the conditions for their eradication, their coexistence, or the dominance of one over…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Benjamin Catalano , Keith Paarporn , Sebin Gracy

Online media provides opportunities for marketers through which they can deliver effective brand messages to a wide range of audiences. Advertising technology platforms enable advertisers to reach their target audience by delivering ad…

Artificial Intelligence · Computer Science 2016-01-12 Shahriar Shariat , Burkay Orten , Ali Dasdan

Competing risks model time to first event and type of first event. An example from hospital epidemiology is the incidence of hospital-acquired infection, which has to account for hospital discharge of non-infected patients as a competing…

Methodology · Statistics 2013-04-09 Arthur Allignol , Jan Beyersmann , Thomas Gerds , Aurélien Latouche

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates
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