My expertise is in variational analysis, optimization, statistics and data visualization.
Variational analysis and optimization
I have studied the variational behavior of spectral
functions, which arise in eigenvalue optimization problems. Examples of
spectral functions are the spectral abscissa (largest real part of an
eigenvalue) and spectral radius (largest eigenvalue in modulus), which are
tied to the asymptotic behavior of dynamical systems.
Statistics and data visualization
My work in statistics and data visualization began with my involvement in a public
health project for influenza surveillance. This work consists of three main
components: data visualization, identifying patterns of error in data and
developing an automated routine for error detection, and generating prediction
intervals for the flu rate. Regarding error detection, I am interested in
extending techniques in Bayesian change point analysis to accommodate the wide
array of patterns exhibited by the project data.
- with J. Burke
Variational properties of spectral max functions.
- with I. Painter, B. Lober
Visualizing data quality for partially accrued data
- with I. Painter, D. Olson, D. Revere, B. Lober
Generation of Prediction Intervals to Assess Data Quality in the Distribute System Using Quantile Regression
In 2011 JSM Proceedings, Statistics in Defense and National Security Section.
Alexandria, VA: American Statistical Association, pp 5172-5179.
with J. Burke
On the subdifferential regularity of max root functions for polynomials
Journal of Nonlinear Analysis: Theory, Methods & Applications, 75(3):1168-1187, 2012.
with A. Godbole, B. Sinclair
Competition between discrete random variables, with applications to occupancy problems
Journal of Statistical Planning and Inference, 40(8):2204-2212, 2010.
with I. Painter, D. Revere, B. Lober
Data quality analysis and monitoring of the Distribute system
Internal technical report (unpublished), 2010.
Y. Khanal, J. Eaton, J. Pakish, P. Yen, R. Martins, L. Carr, K. Eaton
Survival disparities in non-small cell lung cancer patients receiving radiation treatment: An investigation of race and gender
Journal of Cancer Research and Experimental Oncology, 2(3):29-34, 2010.