A High Efficiency Algorithm for Combinatorial Synthesis: Maximum Utilization of Minimal Libraries

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 15, 2003
Accession Number
ADA413449

Entities

People

  • Herschel A. Rabitz

Organizations

  • Princeton University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Band Gaps
  • Chemical Engineering
  • Chemistry
  • Classification
  • Efficiency
  • Energy Bands
  • Engineering
  • Experimental Data
  • Genetic Algorithms
  • Glass Transition Temperature
  • Hierarchies
  • Interpolation
  • Materials
  • Radiative Transfer
  • Transition Temperature

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Modeling and Simulation
  • Distributed Systems and Data Platform Development