A High Efficiency Algorithm for Combinatorial Synthesis: Maximum Utilization of Minimal Libraries
HERSCHEL A. RABITZ · 2003
This research addressed the common mathematical characteristics of a broad variety of science and engineering applications having large numbers of input variables for exploration. A family of High Dimensional Model Representation (HDMR) techniques was developed to provide efficient and accurate input-output maps for such problems. HDMR operates by breaking down the original high dimensional map into a hierarchy of interrelated lower dimensional components. The mathematical and numerical foundations of HDMR were developed along with demonstrations of its capabilities in selected chemistry, physics, and engineering applications.