Home > Events > 2011 Seminars & Colloquia > Peter Qian - University of Wisconsin-Madison

Peter Qian - University of Wisconsin-Madison

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Sudoku Based Space-Filling Designs

Sudoku is played by millions of people across the globe. It has simple rules and is very addictive. The game-board is a nine-by-nine grid of numbers from one to nine. Several entries within the grid are provided and the remaining entries must be filled in subject to each row, column, and three-by-three subsquare containing no duplicated numbers. By exploiting these three types of uniformity, we propose an approach to constructing a new type of design, called Sudoku based space-filling design, intended for data pooling. Such a design can be divided into groups of subdesigns such that the complete design and each subdesign achieve maximum uniformity in both univariate and bivariate margins. Also will be discussed are several unexpected applications of experimental design techniques, including stochastic optimization, parallel computing, cross-validation and variable selection.