Liza Levina

Assistant Professor
Department of Statistics
University of Michigan
439 West Hall
1085 S. University Ave.
Ann Arbor MI 48109-1107
Office: 459 West Hall
phone: (734) 764-3235
fax:(734) 763-4676
email

Research Interests

high-dimensional data: large p small n problems, covariance estimation, dimension reduction, manifold projections
wireless sensor networks and statistical inference on network data
classification and pattern recognition
applications of statistics to computer vision, Raman spectroscopy, and remote sensing

Education

Ph.D. in Statistics, U.C. Berkeley, 2002
M.S. in Mathematics, University of Utah, 1997
B.S. equivalent in Mathematics, St.Petersburg State University, Russia, 1994

Ph.D. Students

Current	Past
Natallia Katenka (5th year, joint with George Michailidis) Adam Rothman (4th year, joint with Ji Zhu) Jian Guo (3rd year, joint with George Michailidis and Ji Zhu) Yunpeng Zhao (2nd year, joint with Ji Zhu)	Amy Wagaman (Ph.D. 2008)

Selected Papers

High-Dimensional Data

A.J. Rothman, E. Levina, and J. Zhu. (2009). Generalized Thresholding of Large Covariance Matrices. J. Amer. Statist. Assoc. (Theory and Methods) 104, to appear.
A.S. Wagaman and E. Levina (2009). Discovering Sparse Covariance Structures with the Isomap. Journal of Computational and Graphical Statistics 18, to appear.
A.J. Rothman, P.J. Bickel, E. Levina, and J. Zhu (2008). Sparse Permutation Invariant Covariance Estimation. Electronic Journal of Statistics 2:494-515.
P.J. Bickel and E. Levina (2008). Covariance Regularization by Thresholding. Annals of Statistics 36(6):2577-2604.
E. Levina, A.J. Rothman and J. Zhu (2008). Sparse Estimation of Large Covariance Matrices via a Nested Lasso Penalty. Annals of Applied Statistics 2(1):245-263.
P.J. Bickel and E. Levina (2008). Regularized Estimation of Large Covariance Matrices. Annals of Statistics 36(1):199-227.
E. Levina, A.S. Wagaman, A.F. Callender, G.S. Mandair, and M.D. Morris (2007). Estimating the number of pure chemical components in a mixture by maximum likelihood. Journal of Chemometrics 21(1-2):24-34.
E. Levina and P.J. Bickel (2005). Maximum Likelihood Estimation of Intrinsic Dimension. In Advances in NIPS 17, Eds. L. K. Saul, Y. Weiss, L. Bottou. Matlab code is available.
P.J. Bickel and E. Levina (2004). Some theory for Fisher's Linear Discriminant function, ''naive Bayes'', and some alternatives when there are many more variables than observations. Bernoulli 10(6):989-1010.

Networks

B. Karrer, E. Levina, and M.E.J. Newman (2008). Robustness of Community Structure in Networks. Physical Review E, 77(4):046119.
N. Katenka, E. Levina, and G. Michailidis (2006). Robust Target Localization from Binary Decisions in Wireless Sensor Networks. To appear in Technometrics.
N. Katenka, E. Levina, and G. Michailidis (2008). Local Vote Decision Fusion for Target Detection in Wireless Sensor Networks. IEEE Transactions on Signal Processing 56(1):329-338.

Statistics in Computer Vision

Zhang, M., Levina, E., Djurdjanovic, D., and Ni, J. (2008). Estimating distributions of surface parameters for classification purposes. Journal of Manufacturing Science and Engineering, 130(3):031010.
E. Levina and P.J. Bickel (2006). Texture Synthesis and Non-parametric Resampling of Random Fields. Annals of Statistics 34(4):1751-1773.
E. Levina and P.J. Bickel (2001)." The Earth Mover's Distance is the Mallows Distance: Some Insights from Statistics." In Proceedings of ICCV 2001, Vancouver, Canada, p. 251-256.

Research supported in part by the NSF (DMS-0505424, DMS-0805798) and the NSA (MSPF-04Y-120).

Personal

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