Studies in Orthogonal Designs with Application to Experimental Design
报告人： Diane Donovan, The University of Queensland
时间：2016-11-01 14:00 ~ 15:00
In this talk I will survey some recent work that crosses the boundaries of combinatorial mathematics, experimental design and computer modelling. I will give a brief summary of my work in combinatorial design theory, with a particular emphasis on orthogonal Latin squares and orthogonal arrays, and then discuss their application to a range of problems arising in fields such as market research and uncertainty quantification for natural resource extraction. Part of the focus will be on space filling experimental designs and how we use combinatorial techniques to construct and study these objects. This will lead to a discussion of computer modelling using orthogonal polynomials with a particular emphasis on applications to problems in coal seam gas exploration.
About the Speaker:
Diane Donovan is a Reader in the School of Mathematics and Physics at the University of Queensland. She has worked in combinatorial design theory for over 25 years. She is a Foundation Fellow of the Institute of Combinatorics and its Applications, a Fellow of the Australian Mathematical Society and a Life Member of the Combinatorial Mathematical Society of Australasia. She has been awarded over $2 million in research funding from the Australian Research Council, the Australian Teaching and Learning Council with industry funding from Tarong Energy, Queensland Gas Corporation, Santos, APLNG and Arrow Energy. Recent collaborations include research with the Centre from Coal Seam Gas at the University of Queensland focussed on an exploration of polynomial chaos expansions for applications in engineering, particularly gas extraction. Other recently funded projects include a study of the theoretical aspects of discrete choice experiments used in the design of marketing research. She has over 100 publications in design theory and its applications, including experimental design and cryptography.