Computational Statistics, especially problems that involve numerical
optimization, e.g., the development of tractable formulations of and
efficient numerical algorithms for multidimensional scaling and other
methods for embedding dissimilarity data.
Statistical Learning, i.e., multivariate data-analytic techniques for
nonlinear dimension reduction (manifold learning), classification, and
clustering. Current interests include the application of distance
geometry to the problem of inferring 3-dimensional molecular structure
from distance restraints, and various high-dimensional classification
problems in bioinformatics.
Design & Analysis of Computer Experiments, specifically for the purpose of
optimizing computationally expensive computer simulations. Current
interests include the application of statistical decision theory to
computer-assisted robust design.
Stochastic Optimization and Response Surface Methodology, especially for
tuning the inputs of highly nonlinear stochastic simulations and
estimating the parameters of analytically intractable stochastic
processes. Current interests include developing quasi-Newton methods for
optimization in the presence of random noise.
In Statistics
A new formulation of the nonmetric STRAIN problem in multidimensional scaling. Journal of Classification, 15:15--35, 1998.
Extensions of classical multidimensional scaling via variable reduction. Computational Statistics, 17:147--162, 2002.
Visualizing correlation. Journal of Computational and Statistical Graphics, 14:1--19, 2005.
In Cognitive Science:
Alzheimer's disease effects on semantic memory: loss of structure or impaired processing? Journal of Cognitive Neuropsychology, 3:166--182, 1991. (K.A. Bayles, C.K. Tomoeda, A.W. Kaszniak, and M.W. Trosset)
Alzheimer's disease: effects on language. Developmental Neuropsychology, 9:131--160, 1993. (K.A. Bayles, C.K. Tomoeda, and M.W. Trosset)
Measures of deficit unawareness for predicted performance experiments. Journal of the International Neuropsychological Society, 2:315--322, 1996. (M.W. Trosset and A.W. Kaszniak)
