Topological and Statistical Behavior Classifiers for Tracking   Applications
  We introduce the first unified theory for target tracking using Multiple Hypothesis Tracking, Topological Data Analysis, and machine learning. Our string of innovations are 1) robust topological features are used to encode behavioral information, 2) statistical models are fitted to distributions over these topological features, and 3) the target type classification methods of Wigren and Bar Shalom et al. are employed to exploit the resulting likelihoods for topological features inside of the tracking procedure. To demonstrate the efficacy of our approach, we test our procedure on synthetic vehicular data generated by the Simulation of Urban Mobility package. 
Paul Bendich, Sang Chin, Jesse Clarke, Jonathan deSena, John Harer,   Elizabeth Munch, Andrew Newman, David Porter, David Ro...
cs.SY math.AT stat.ML