D. Fox
Adapting the sample size in
particle filters through KLD-sampling 
International Journal of Robotics Research
(IJRR), 2003
 
 
Abstract
 Over the last years, particle filters have been applied
  with great success to a variety of state estimation problems.  In
  this paper we present a statistical approach to increasing the
  efficiency of particle filters by adapting the size of sample sets
  during the estimation process.  The key idea of the KLD-sampling
  method is to bound the approximation error introduced by the
  sample-based representation of the particle filter.  The name
  KLD-sampling is due to the fact that we measure the approximation
  error by the Kullback-Leibler distance.  Our adaptation approach
  chooses a small number of samples if the density is focused on a
  small part of the state space, and it chooses a large number of
  samples if the state uncertainty is high.  Both the implementation
  and computation overhead of this approach are small.  Extensive
  experiments using mobile robot localization as a test application
  show that our approach yields drastic improvements over particle
  filters with fixed sample set sizes and over a previously introduced
  adaptation technique.
    
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