Uniform Design: Theory and Application

By Kai-Tai Fang, Dennis K. J. Lin, Peter Winker, Yong Zhang. Technometrics, 2000

925 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Industrial and Manufacturing Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/dfb8910c39dd52e26c4bc1588bad1c7592b3295e

How researchers see this paper

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

In Computational Theory and Mathematics

In Industrial and Manufacturing Engineering

In Numerical Analysis

Citations in the corpus

Interactions and comprehensive effect of indoor environmental quality factors on occupant satisfaction (2020, methodology): “The added experiments were assigned by uniform design, which is another optimization method proposed by Kaitai and Yuan [41].”
Incremental modeling of a new high-order polynomial surrogate model (2016, methodology): “Orthogonal Sampling [38]) and Quasi-Monte Carlo Sampling (QMCS) [3, 36, 39].”
Global Optimization of Stochastic Black-Box Systems via Sequential Kriging Meta-Models (2006, methodology): “As 222 ˆˆˆ εσσσ += Z , with g known, we can also get the estimates for 2Zσ and 2εσ .”
Least squares polynomial chaos expansion: A review of sampling strategies (2017, background): “Uniform designs are constructed based on alternative and computationally less expensive measures of the uniformity rather than the star discrepancy D ∗ N used in QMC [31].”
Design of computer experiments: A review (2017, background): “However, this paradigm becomes arduous as the dimensions increase [51].”
Metamodel based high-fidelity stochastic analysis of composite laminates: A concise review with critical comparative assessment (2017, methodology): “These are orthogonal arrays [52–54], Latin Hypercube designs [55–59], Hammersley sequences [60,61] and uniform designs [62].”
Nonlinear regression analysis (2010, background): “Uniform design points are so designed to be as uniform and as space-filling as possible and provide a more efficient search scheme (Fang et al., 2000).”
Uniform supersaturated design and its construction (2002, neutral): “Obviously, the number of levels q should be a divisor of n. The set of all such designs is denoted by U(n; q m ) [ 27 ] . A U-type design is called an”
Efficient Nearly Orthogonal and Space-Filling Latin Hypercubes (2007, methodology): “Fang et al. (2000a) stated that "this is probably the most commonly used measurement for discrepancy. . . and has been universally accepted in quasi-Monte Carlo methods and number theoretic methods."”
Optimal mixed-level supersaturated design (2003, background): “And then Kd ðx; wÞ is a kernel function and satisfies conditions ( 4 ) and (5).”