October 5, 2007
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November 9,2007 |
Dr. Mike West, Arts & Sciences Professor of Statistical Science and Director of Graduate Studies, Department of Statistical Science (Duke University)
Sparsity in Statistical Modeling
Abstract:
The concepts and methods of sparsity modeling are key to problems of model specification, variable selection and multivariate structure assessment in statistical science. Sparsity also provides the foundation for scaling statistical models from the viewpoints of both scientific parsimony and computational accessibility/feasibility.
My talk will overview a range of developments in the application of sparsity modeling in modern, model-based analysis of multivariate data arising in problems with very many parameters. I will touch on specific contexts including high-dimensional latent factor analysis and graphical models, speaking to both modeling concepts and computational questions, and drawing on applied studies in areas including pathway genomics and financial time series analysis.
Dr. Arnold Zellner, H.G.B. Alexander Distinguished Service Professor Emeritus of Economics and
Statistics, Graduate School of Business (University of Chicago)Information Theory and Statistics
Abstract:
After describing some aspects of information theory, it will be shown how it has been employed not only to produce models for observations and prior densities for their parameters but also to derive optimal learning models, including Bayes' theorem. These optimal learning models have the property that input information equals output information and thus they are 100% efficient, as recognized in the literature. Some of these learning models permit inverse inference to be performed without the use of a prior density and/or a likelihood function. Examples and references illustrating the derivations and uses of such models will be provided and discussed. By having a set of optimal learning models, including Bayes' theorem, on the shelf to help solve a variety of inference and decision problems, statisticians and other scientists will be more effective in their work.