Selected Publications

Journal Publications

  • Paul Bendich, Sang Peter Chin, Jesse Clark, Jonathan Desena, John Harer, Elizabeth Munch, Andrew Newman, David Porter, David Rouse, Nate Strawn, and Adam Watkins. “Topological and statistical behavior classifiers for tracking applications”. In: IEEE Transactions on Aerospace and Electronic Systems 52.6 (2016), pp. 2644–2661. doi: 10 . 1109 / taes . 2016 . 160405. url: http://ieeexplore.ieee.org/document/7855573/

  • Vin de Silva, Elizabeth Munch, and Amit Patel. “Categorified Reeb Graphs”. In: Discrete & Computational Geometry (2016), pp. 1–53. issn: 1432-0444. doi: 10.1007/s00454-016-9763-9. url: http://link.springer.com/article/10.1007/s00454-016-9763-9.

  • Firas A. Khasawneh and Elizabeth Munch. “Chatter detection in turning using persistent homology”. In: Mechanical Systems and Signal Processing 70-71 (2016), pp. 527–541. issn: 0888-3270. doi: 10 . 1016 / j . ymssp . 2015 . 09 . 046. url: http://www.sciencedirect.com/science/article/pii/S0888327015004598.

  • Elizabeth Munch, Katharine Turner, Paul Bendich, Sayan Mukherjee, Jonathan Mattingly, and John Harer. “Probabilistic Fr´echet means for time varying persistence diagrams”. In: Electron. J. Statist. 9 (2015), pp. 1173–1204. doi: 10.1214/15-EJS1030. url: https://projecteuclid.org/euclid.ejs/1433195858.

  • Elizabeth Munch, Michael Shapiro, and John Harer. “Failure filtrations for fenced sensor networks”. In: The International Journal of Robotics Research 31.9 (2012), pp. 1044–1056. doi: 10 . 1177 / 0278364912451671. url: http://journals.sagepub.com/doi/abs/10.1177/0278364912451671.

 

Conference Proceedings

  • Elizabeth Munch and Bei Wang. “Convergence between Categorical Representations of Reeb Space and Mapper”. In: 32nd International Symposium on Computational Geometry (SoCG 2016). Ed. by S´andor Fekete and Anna Lubiw. Vol. 51. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, 2016, 53:1–53:16. isbn: 978-3-95977-009-5. doi: http://dx.doi.org/10.4230/LIPIcs.SoCG.2016.53. url: http://drops.dagstuhl.de/opus/volltexte/2016/5945.

  • Ulrich Bauer, Elizabeth Munch, and Yusu Wang. “Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs”. In: 31st International Symposium on Computational Geometry (SoCG 2015). Ed. by Lars Arge and J´anos Pach. Vol. 34. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, 2015, pp. 461–475. doi: 10.4230/LIPIcs.SOCG.2015.461. url: http://drops.dagstuhl.de/opus/volltexte/2015/5146/.

  • David Rouse, Adam Watkins, David Porter, John Harer, Paul Bendich, Nate Strawn, Elizabeth Munch, Jonathan DeSena, Jesse Clarke, Jeffrey Gilbert, Peter Chin, and Andrew Newman. “Feature-aided multiple hypothesis tracking using topological and statistical behavior classifiers”. In: Proc. SPIE. Vol. 9474. (2015), pp. 94740L–94740L–12. doi: 10.1117/12.2179555. url: http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2299664.

  • Firas A. Khasawneh and Elizabeth Munch. “Exploring equilibria in stochastic delay differential equations using persistent homology”. In: Proceedings of the ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, (August 17-20, 2014), Buffalo, NY, USA. 2014. doi: 10 . 1115 / DETC2014 - 35655. url: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2091179.

  • Firas A. Khasawneh and Elizabeth Munch. “Stability Determiniation in Turning using Persistent Homology and Time Series Analysis”. In: Proceedings of the ASME 2014 International Mechanical Engineering Congress & Exposition, Montreal, Canada. (2014). doi: 10.1115/IMECE2014-40221. url: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2204834.

 

Book Chapters

 

Other Published Work

  • Vin de Silva, Elizabeth Munch, and Anastasios Stefanou. “A Hom-Tree Lower Bound for the Reeb Graph Interleaving Distance”. In: Extended Abstract, Fall Workshop on Computational Geometry (2015).

  • Elizabeth Munch and Bei Wang. “Reeb Space Approximations with Guarantees”. In: Extended Abstract, Fall Workshop on Computational Geometry (2015).

  • Elizabeth Munch. “Applications of Persistent Homology to Time Varying Systems”. PhD thesis. Duke University, (2013).

  • Elizabeth Munch, Ian Gilby, Susan Alberts, Anne Pusey, and John Harer. “Using Vineyards to Verify results of an Agent-Based Model of Primate Group Fission and Fusion”. In: YRF’12: Young Researchers Forum at CG Week. Chapel Hill, NC, (2012).

  • Elizabeth Munch and C. Douglas Haessig. “Counting prime paths in fractals built from triangles”. In: Journal for Undergraduate Research, University of Rochester (2008).

 

Preprints

  • Magnus Botnan, Justin Curry, and Elizabeth Munch. “The Poset Interleaving Distance”. Preprint. (2017).

  • Erin Wolf Chambers, Sean Dougherty, Elizabeth Munch, and Taylor Watson. “Drawing restricted classes of Planar Reeb Graphs”. Conference paper. In submission. (2017).

  • Vin de Silva, Elizabeth Munch, and Anastasios Stefanou. “Interleavings for Merge Trees”. (2017).

  • Vin de Silva, Elizabeth Munch, and Anastasios Stefanou. “Theory of interleavings on [0, ∞)- actegories”. In: arXiv:1706.04095v1 (June 13, 2017). arXiv: 1706 . 04095v1 [math.CT]. url: http://arxiv.org/pdf/1706.04095v1.

  • William Dong, Elizabeth Munch, Jason Dunion, Kristen Corbosiero, and Ryan Torn. “Using Persistent Homology to Quantify a Diurnal Cycle in Hurricanes”. Preprint. (2017).

  • Firas A. Khasawneh, Elizabeth Munch, and Jos´e Perea. “Using Machine Learning and Persistent Homology to Classify Chatter in a Turning Model”. Preprint. (2017).

  • Elizabeth Munch. “A User’s Guide to Topological Data Analysis”. Book chapter. Accepted, in press. (2017).

 

Funded Proposals

Collaborative Research: A Unified Framework for the Investigation of Time Series Using Topological Data Analysis

  • April 2016-Mar 2019 • Role: Principal Investigator
  • Collaborative with
    • Firas Khasawneh, Mechanical Eng., SUNY Polytechnic Institute, Utica, NY
  • National Science Foundation (NSF)
  • Dynamics, Control and Systems Diagnostics (DCSD)
  • Division of Civil, Mechanical, and Manufacturing Innovation (CMMI)
  • Total award amount: $375,235
    • NSF CMMI-1562012: (UAlbany) $178,736 (PI Munch)
    • NSF CMMI-1562459: (SUNY Poly) $196,499 (PI Khasawneh)

 

CDS&E: Collaborative Research: Machine Learning on Dynamical Systems via Topological Features

  • Sept 2016-Aug 2019
  • Role: Principal Investigator
  • Collaborative with
    • Firas Khasawneh, Mechanical Eng., SUNY Polytechnic Institute, Utica, NY
    • Jose Perea, Depts. of Math, & CMSE, Michigan State University, East Lansing, MI
  • National Science Foundation (NSF) Mathematical & Physical Systems (MPS) Division of Mathematical Sciences (DMS)
  • Total award amount: $375,235
    • NSF DMS-1622320: (UAlbany) $101,672 (PI Munch)
    • NSF DMS-1622301: (MSU) $105,000 (PI Perea)
    • NSF DMS-1622293: (SUNY Poly) $93,111 (PI Khasawneh)

 

Kaleidoscope: Turning System Design Inside-Out

  • Aug 2016-July 2017
  • Role: Technical POC
  • Collaborative with
    • Raytheon BBN Technologies Corp., Boston, MA
  • DARPA