995 research outputs found
A general class of spreading processes with non-Markovian dynamics
In this paper we propose a general class of models for spreading processes we
call the model. Unlike many works that consider a fixed number of
compartmental states, we allow an arbitrary number of states on arbitrary
graphs with heterogeneous parameters for all nodes and edges. As a result, this
generalizes an extremely large number of models studied in the literature
including the MSEIV, MSEIR, MSEIS, SEIV, SEIR, SEIS, SIV, SIRS, SIR, and SIS
models. Furthermore, we show how the model allows us to model
non-Poisson spreading processes letting us capture much more complicated
dynamics than existing works such as information spreading through social
networks or the delayed incubation period of a disease like Ebola. This is in
contrast to the overwhelming majority of works in the literature that only
consider spreading processes that can be captured by a Markov process. After
developing the stochastic model, we analyze its deterministic mean-field
approximation and provide conditions for when the disease-free equilibrium is
stable. Simulations illustrate our results
Joint estimation and localization in sensor networks
This paper addresses the problem of collaborative tracking of dynamic targets in wireless sensor networks. A novel distributed linear estimator, which is a version of a distributed Kalman filter, is derived. We prove that the filter is mean square consistent in the case of static target estimation. When large sensor networks are deployed, it is common that the sensors do not have good knowledge of their locations, which affects the target estimation procedure. Unlike most existing approaches for target tracking, we investigate the performance of our filter when the sensor poses need to be estimated by an auxiliary localization procedure. The sensors are localized via a distributed Jacobi algorithm from noisy relative measurements. We prove strong convergence guarantees for the localization method and in turn for the joint localization and target estimation approach. The performance of our algorithms is demonstrated in simulation on environmental monitoring and target tracking tasks
Joint Estimation and Localization in Sensor Networks
This paper addresses the problem of collaborative tracking of dynamic targets
in wireless sensor networks. A novel distributed linear estimator, which is a
version of a distributed Kalman filter, is derived. We prove that the filter is
mean square consistent in the case of static target estimation. When large
sensor networks are deployed, it is common that the sensors do not have good
knowledge of their locations, which affects the target estimation procedure.
Unlike most existing approaches for target tracking, we investigate the
performance of our filter when the sensor poses need to be estimated by an
auxiliary localization procedure. The sensors are localized via a distributed
Jacobi algorithm from noisy relative measurements. We prove strong convergence
guarantees for the localization method and in turn for the joint localization
and target estimation approach. The performance of our algorithms is
demonstrated in simulation on environmental monitoring and target tracking
tasks.Comment: 9 pages (two-column); 5 figures; Manuscript submitted to the 2014
IEEE Conference on Decision and Control (CDC
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