Key research themes
1. How can projection uniformity and discrepancy measures optimize orthogonal and extended two-level experimental designs?
This theme investigates augmentation strategies of orthogonal and nearly orthogonal two-level factorial designs through projection discrepancy and uniformity measures, notably the centered L2-discrepancy. These approaches are critical to ensure high-quality experimental runs, especially when designs are extended with additional runs, while maintaining desirable statistical properties in lower-dimensional factor projections.
2. How can orthogonal arrays and product constructions facilitate efficient mixture and factorial designs in constrained, high-dimensional experimental settings?
This research area focuses on constructing efficient mixture and factorial designs using orthogonal arrays generated via difference schemes or product methods, addressing constraints inherent in mixture experiments and structural design complexity. These methods reduce experimental runs without sacrificing coverage or design strength, well-suited for high-dimensional or constrained design spaces common in practical applications.
3. What theoretical and algorithmic innovations enable flexible and orthogonal response surface designs for second-order models in moderate to high dimensional settings?
This theme centers on constructing and generalizing classical response surface designs like Box-Behnken via cyclic generators and developing computational algorithms to generate orthogonally blocked and rotatable designs with improved properties. These advancements support efficient parameter estimation in second-order models while addressing design flexibility, blocking, and prediction variance characteristics in scenarios with 3 to 16 factors.