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Many biological and medical questions can be modeled using time-to-event data in finite-state Markov chains, with the phase-type distribution describing intervals between events. We solve the inverse problem: given a phase-type…

Dynamical Systems · Mathematics 2024-11-19 Ovidiu Radulescu , Dima Grigoriev , Matthias Seiss , Maria Douaihy , Mounia Lagha , Edouard Bertrand

Random walks on networks is the standard tool for modelling spreading processes in social and biological systems. This first-order Markov approach is used in conventional community detection, ranking, and spreading analysis although it…

Physics and Society · Physics 2014-08-13 Martin Rosvall , Alcides V. Esquivel , Andrea Lancichinetti , Jevin D. West , Renaud Lambiotte

We discuss a box model of migration in channels of networks with possible application for modelling motion of migrants in migration networks. The channel consists of nodes of the network (nodes may be considered as boxes representing…

Physics and Society · Physics 2016-12-05 Nikolay K. Vitanov , Kaloyan N. Vitanov , Tsvetelina Ivanova

In this paper we propose an approach to build a decision support system that can help emergency planners and responders to detect and manage emergency situations. The internal mechanism of the system is independent from the treated…

Artificial Intelligence · Computer Science 2009-05-28 Fahem Kebair , Frederic Serin

We consider a scenario where multiple event-based systems use a wireless network to communicate with their respective controllers. These systems use a contention resolution mechanism (CRM) to arbitrate access to the network. We present a…

Systems and Control · Computer Science 2014-01-21 Chithrupa Ramesh , Henrik Sandberg , Karl H. Johansson

In a search and rescue scenario, rescuers may have different knowledge of the environment and strategies for exploration. Understanding what is inside a rescuer's mind will enable an observer agent to proactively assist them with critical…

Machine Learning · Computer Science 2020-11-23 Vidhi Jain , Rohit Jena , Huao Li , Tejus Gupta , Dana Hughes , Michael Lewis , Katia Sycara

We consider the discrete-time migration-recombination equation, a deterministic, nonlinear dynamical system that describes the evolution of the genetic type distribution of a population evolving under migration and recombination in a law of…

Probability · Mathematics 2021-03-30 Frederic Alberti , Ellen Baake , Ian Letter , Servet Martinez

Herein, the Hidden Markov Model is expanded to allow for Markov chain observations. In particular, the observations are assumed to be a Markov chain whose one step transition probabilities depend upon the hidden Markov chain. An…

Machine Learning · Statistics 2023-04-18 Michael A. Kouritzin

Many dynamical systems can be successfully analyzed by representing them as networks. Empirically measured networks and dynamic processes that take place in these situations show heterogeneous, non-Markovian, and intrinsically correlated…

This paper considers the problem of developing suitable behavior models of human evacuees during a robot-guided emergency evacuation. We describe our recent research developing behavior models of evacuees and potential future uses of these…

Robotics · Computer Science 2023-09-27 Mollik Nayyar , Alan Wagner

In Turkey the increasing tension, due to the presence of 3.4 million Syrian refugees, demands the formulation of effective integration policies. Moreover, their design requires tools aimed at understanding the integration of refugees…

Computers and Society · Computer Science 2019-07-17 Antonio L. Alfeo , Mario G. C. A. Cimino , Bruno Lepri , Alex 'Sandy' Pentland , Gigliola Vaglini

This paper deals with the modeling and estimation of the sociological phenomena called echo chambers and segregation in social networks. Specifically, we present a novel community-based graph model that represents the emergence of…

Social and Information Networks · Computer Science 2020-12-29 Rui Luo , Buddhika Nettasinghe , Vikram Krishnamurthy

Although the notion of diagnostic problem has been extensively investigated in the context of static systems, in most practical applications the behavior of the modeled system is significantly variable during time. The goal of the paper is…

Artificial Intelligence · Computer Science 2013-03-25 Luigi Portinale

Recently, there have been considerable efforts to use online data to investigate international migration. These efforts show that Web data are valuable for estimating migration rates and are relatively easy to obtain. However, existing…

Social and Information Networks · Computer Science 2016-07-05 Johnnatan Messias , Fabricio Benevenuto , Ingmar Weber , Emilio Zagheni

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

The parameters of a discrete stationary Markov model are transition probabilities between states. Traditionally, data consist in sequences of observed states for a given number of individuals over the whole observation period. In such a…

Computation · Statistics 2012-04-30 Alberto Pasanisi , Shuai Fu , Nicolas Bousquet

The use of online user traces for studies of human mobility has received significant attention in recent years. This growing body of work, and the more general importance of human migration patterns to government and industry, motivates the…

Computers and Society · Computer Science 2020-03-10 Derek Ruths , Caitrin Armstrong

Wind power generation exhibits a strong temporal variability, which is crucial for system integration in highly renewable power systems. Different methods exist to simulate wind power generation but they often cannot represent the crucial…

Data Analysis, Statistics and Probability · Physics 2018-04-04 Juliane Weber , Christopher Zachow , Dirk Witthaut

We consider the analysis of sets of categorical sequences consisting of piecewise homogeneous Markov segments. The sequences are assumed to be governed by a common underlying process with segments occurring in the same order for each…

Methodology · Statistics 2015-04-08 Petter Arnesen , Tracy Holsclaw , Padhraic Smyth

A continuous-time Markov chain rate change formula for simulation, model selection, filtering and theory is proven. It is used to develop Markov chain importance sampling, rejection sampling, branching particle filtering algorithms and…

Statistics Theory · Mathematics 2023-08-14 Michael A. Kouritzin
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