Research Areas
- Data mining and high-dimensional data analysis
- Harmonic Analysis
- Laplacian Eigenfunctions of Diffusion Processes
- Digital signal and image processing
- Random Processes and Queueing Theory
Mathematical Papers
- Geosocial graph based community detection, Y. van Gennip, H. Hu, B. Hunter, M.A. Porter, IEEE International Conference on Data Mining (ICDM'12), 2012.
- Multislice Modularity Optimization in Community Detection and Image Segmentation, H. Hu, Y. van Gennip, B. Hunter, A.L. Bertozzi, M.A. Porter, IEEE ICDM'12, 2012.
- A spectral graph based approach to analyze hyperspectral data, B. Hunter, Y. Lou, A.L. Bertozzi, IEEE Applied Imagery Pattern Recognition, 2012.
- Community detection using spectral clustering on sparse geosocial data by
Y. van Gennip, B. Hunter, R. Ahn, P. Elliott, K. Luh, M. Halvorson, S. Reed, M. Valasik, j. Wo, G. Tita, A.L. Bertozzi and P.J. Brantingham, SIAM Journal on Applied Mathematics, to appear, 2012.
- Data mining compressed, incomplete and inaccurate high dimensional data
by Hunter, advised by T. Strohmer, UC Davis PhD Dissertation, 2011.
- Performance analysis of spectral clustering compressed, incomplete and inaccurate measurements by Hunter and T. Strohmer, arXiv (Journal version in review).
- The General, Irreducible Three and Four-State Markov Process, L. M. Harbottle, B. Hunter and A. Krinik, Integration: Mathematical Theory and Applications, Vol. 2, No. 3, 2011.
- Compressive spectral clustering by Hunter and T. Strohmer, International Conference of Numerical Analysis and Applied Mathematics Proceedings, Sparse Approximation and Compressed Sensing, 2010.
- Compressive spectral clustering - error analysis by Hunter and T. Strohmer, Manifold Learning and Its Applications: Papers from the AAAI Fall Symposium, (FS-10-06) 2010.
- Gambler's Ruin with Catastrophes and Windfalls by Hunter, Krinik, Nguyen, Switkes and von Bremmen, Journal of Statistical Theory and Practice, Vol. 2, No. 2, page 199-219, 2008.
- Approaches to Gambler's Ruin with Catastrophes by Hunter, Krinik, Nguyen, Switkes and von Bremmen, Journal of Combinatorics, Information & System Sciences, (to appear).
- Gambler's Ruin and the Three State Markov Process by Blake Hunter, advised by A.C. Krinik, Cal Poly Pomona Master's Thesis, 2005.
Research Experience
- Adjunct Assistant Professor, Mathematics Department, , June 2011 - present.
- Postdoctoral Scholar with Andrea Bertozzi , Applied Mathematics, , June 2011 - present.
- Graduate Student Reasearcher for Thomas Strohmer, UC Davis, June 2008 - June 2011
- Research Fellow for Mathematics of Knowledge and Search Engines, Inst. for Pure & Applied Mathematics, UCLA, Sept 2007 - Dec 2007