Cooperative parallel particle filters for online model selection and applications to urban mobility Articles uri icon

authors

  • MARTINO, LUCA
  • READ, JESSE MICHAEL
  • ELVIRA ARREGUI, VICTOR
  • LOUZADA, FRANCISCO

publication date

  • January 2017

start page

  • 172

end page

  • 185

volume

  • 60

International Standard Serial Number (ISSN)

  • 1051-2004

Electronic International Standard Serial Number (EISSN)

  • 1095-4333

abstract

  • We design a sequential Monte Carlo scheme for the dual purpose of Bayesian inference and model selection. We consider the application context of urban mobility, where several modalities of transport and different measurement devices can be employed. Therefore, we address the joint problem of online tracking and detection of the current modality. For this purpose, we use interacting parallel particle filters, each one addressing a different model. They cooperate for providing a global estimator of the variable of interest and, at the same time, an approximation of the posterior density of each model given the data. The interaction occurs by a parsimonious distribution of the computational effort, with online adaptation for the number of particles of each filter according to the posterior probability of the corresponding model. The resulting scheme is simple and flexible.

keywords

  • sequential model selection; modality detection; marginal likelihood estimation; parallel particle filters; distributed inference; urban mobility; regime-switching model; monte-carlo methods; parameter-estimation; statistics; tutorial; tracking