Now showing items 1-5 of 5

    • Fréchet Means for Distributions of Persistence Diagrams 

      Harer, John; Mileyko, Yuriy; Mukherjee, Sayan; Turner, K (Discrete & Computational Geometry, 2014)
    • Geometric Cross-Modal Comparison of Heterogeneous Sensor Data 

      Bendich, Paul L; Borggren, N; Harer, John; Hineman, J; Smith, A; Tralie, Christopher; Zulch, P (Proceedings of the 39th IEEE Aerospace Conference, 2018-03)
      In this work, we address the problem of cross-modal comparison of aerial data streams. A variety of simulated automobile trajectories are sensed using two different modalities: full-motion video, and radio-frequency (RF) ...
    • Geometric Models for Musical Audio Data 

      Bendich, Paul L; Gasparovic, E; Harer, John; Tralie, Christopher (Proceedings of the 32st International Symposium on Computational Geometry (SOCG), 2016-06)
    • Multi-scale local shape analysis and feature selection in machine learning applications 

      Bendich, Paul L; Gasparovic, E; Harer, John; Izmailov, R; Ness, L (Proceedings of the International Joint Conference on Neural Networks, 2015-09-28)
      © 2015 IEEE.We introduce a method called multi-scale local shape analysis for extracting features that describe the local structure of points within a dataset. The method uses both geometric and topological features at multiple ...
    • Probabilistic Fréchet means for time varying persistence diagrams 

      Bendich, Paul L; Harer, John; Mattingly, Jonathan Christopher; Mukherjee, Sayan; Munch, E; Turner, K (Electronic Journal of Statistics, 2015-01-01)
      © 2015, Institute of Mathematical Statistics. All rights reserved.In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and variance for a set of diagrams. ...