Majorization framework for balanced lattice designs

By Aijun Zhang, Kai-Tai Fang, Runze Li, Agus Sudjianto. 2005

47 citations recorded by the source corpus.

This paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogonality, aberration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out.

Subfields: Electrical and Electronic Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/23044f331b522f38e8b3f59fb101ef78dc571d90

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

1. Alireza Doostan
2. Mohammad Hadigol

In Management Science and Operations Research

1. Alireza Doostan
2. Mohammad Hadigol
3. R. Matousek
4. Jakub Kudela

In Statistics and Probability

1. Mohammad Hadigol
2. Alireza Doostan
3. Anthony Nouy
4. R. Matousek
5. Jakub Kudela
6. Albert Cohen
7. Ahmed H. Elsheikh
8. Ronald A. DeVore

Citations in the corpus

• Least squares polynomial chaos expansion: A review of sampling strategies (2017, methodology): “Several methods such as good lattice [35], optimization searching [123], collapsing [33], combinatorial construction [132], and Latin square [34] have been proposed to construct uniform designs.”