41 research outputs found
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Stability theory of stochastic models in opinion dynamics
No full textWe consider a certain class of nonlinear maps that preserve the probability simplex, i.e., stochastic maps, which are inspired by the DeGroot-Friedkin model of belief/opinion propagation over influence networks. The corresponding dynamical models describe the evolution of the probability distribution of interacting species. Such models where the probability transition mechanism depends nonlinearly on the current state are often referred to as nonlinear Markov chains. In this paper, we develop stability results and study the behavior of representative opinion models. The stability certificates are based on the contractivity of the nonlinear evolution in the ℓ1-metric. We apply the theory to two types of opinion models where the adaptation of the transition probabilities to the current state is exponential and linear - both of these can display a wide range of behaviors. We discuss continuous-time and other generalizations
Recommended from our members
Stability theory of stochastic models in opinion dynamics
No full textWe consider a certain class of nonlinear maps that preserve the probability simplex, i.e., stochastic maps, which are inspired by the DeGroot-Friedkin model of belief/opinion propagation over influence networks. The corresponding dynamical models describe the evolution of the probability distribution of interacting species. Such models where the probability transition mechanism depends nonlinearly on the current state are often referred to as nonlinear Markov chains. In this paper, we develop stability results and study the behavior of representative opinion models. The stability certificates are based on the contractivity of the nonlinear evolution in the ℓ1-metric. We apply the theory to two types of opinion models where the adaptation of the transition probabilities to the current state is exponential and linear - both of these can display a wide range of behaviors. We discuss continuous-time and other generalizations
Parameter estimation of PEMFC model based on Harris Hawks’ optimization and atom search optimization algorithms
No full textSequence‐based differential evolution for solving economic dispatch considering virtual power plant
No full textA comparative study of lumped equivalent circuit models of a lithium battery for state of charge prediction
No full textDiscipline specificity and students’ English writing proficiency: A case of collaborative teaching for transfer
No full textStudy the Impact of Parameter Settings and Operators Role for Genetic Algorithm Based Test Case Prioritization
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Exergy analysis and optimization of a HT-PEMFC using developed Manta Ray Foraging Optimization Algorithm
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