Franz Hamilton

Postdoctoral Fellow, Mathematics

Department of Mathematics
North Carolina State University
Raleigh, NC 27695
406C Cox Hall
fwhamilt (at) ncsu.edu
(919) 515-1909

Photo of Franz Hamilton

Google Scholar Page
ResearchGate Page


Research Interests

Publications and Preprints

  1. F. Hamilton, A. Lloyd, K. Flores, Hybrid modeling and prediction of dynamical systems, PLoS Comp. Bio. 13, e1005655 (2017).
  2. F. Hamilton, T. Berry, T. Sauer, Ensemble Kalman filtering without a model. Phys. Rev. X 6, 011021 (2016).
  3. F. Hamilton, B. Setzer, S. Chavez, H. Tran, A. Lloyd, Adaptive filtering for hidden node detection and tracking in networks, Chaos 27, 073106 (2017).*
    *Article featured as an AIP Scilight, Reconstructing neural networks from limited data.
  4. F. Hamilton, T. Berry, T. Sauer, Kalman-Takens filtering in the presence of dynamical noise, To appear, Eur. Phys. J: ST.
  5. J. Arthur, A. Attarian, F. Hamilton, H. Tran, Nonlinear Kalman filtering for censored observations, Appl. Math. and Comp. 316, 155-166 (2017).
  6. M. Khaki, F. Hamilton, E. Forootan, I. Hoteit, J. Awange, M. Kuhn, Nonparametric data assimilation scheme for land hydrological applications, preprint.
  7. J. Lagergren, A. Reeder, F. Hamilton, R. Smith, K. Flores, Forecasting and uncertainty quantification using a hybrid of mechanistic and non-mechanistic models for an age-structured population model, preprint.
  8. F. Hamilton, T. Berry, T. Sauer, Predicting chaotic time series with a partial model. Phys. Rev. E 92, 010902 (2015).
  9. F. Hamilton, R. Graham, L. Luu, N. Peixoto, Time-dependent increase in network response to stimulation. PLoS ONE 10, e0142399 (2015).
  10. F. Hamilton, J. Cressman, N. Peixoto, T. Sauer, Reconstructing neural dynamics using data assimilation with multiple models, Europhys. Lett. 107, 68005 (2014).
  11. F. Hamilton, T. Berry, N. Peixoto, T. Sauer, Real-time tracking of neuronal network structure using data assimilation. Phys. Rev. E 88, 052715 (2013)
  12. G. Knaack, H. Charkhkar, F. Hamilton, N. Peixoto, T. O'Shaughnessy, J. Pancrazio, Differential response to omega-agatoxin IVA in murine frontal cortex and spinal cord derived neuronal networks. NeuroToxicology, 37, 19-25 (2013)
  13. T. Berry, F. Hamilton, N. Peixoto, T. Sauer, Detecting connectivity changes in neuronal networks. J. Neurosci. Meth. 209, 388-397 (2012).
  14. F. Hamilton, T. Sauer, Parameter estimation in differential equations: a numerical study of shooting methods. SIAM Undergraduate Research Online (2011).