Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#225823] of John Harer

Papers Submitted

  1. P. Bendich, S. Chin, J. Clarke, J. deSena, J. Harer, E. Munch, A. Newman, D. Porter, D. Rouse, N. Strawn, and A. Watkins, Topological and Statistical Behavior Classifiers for Tracking Applications, IEEE Trans. on Aerospace and Electronic Systems (2014)
    (last updated on 2014/12/15)

    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.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320