An algorithmic approach to finding factorial designs with generalized minimum aberration
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Sun, Fasheng, Liu, Min-Qian, Hao, Wenrui
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Generalized wave-front reconstruction algorithm applied in a Shack-Hartmann test [PDF]
A generalized numerical wave-front reconstruction method is proposed that is suitable for diversified irregular pupil shapes of optical systems to be measured. That is, to make a generalized and regular normal equation set, the test domain is extended to
Zhang, Zhenchao, Zou, Weiyao
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Quarter-fraction factorial designs constructed via quaternary codes
The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent research by Xu and Wong [Statist.
Phoa, Frederick K. H., Xu, Hongquan
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Nonlinear Matroid Optimization and Experimental Design [PDF]
We study the problem of optimizing nonlinear objective functions over matroids presented by oracles or explicitly. Such functions can be interpreted as the balancing of multi-criteria optimization. We provide a combinatorial polynomial time algorithm for
Eva Riccomagno +7 more
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Generalized minimum aberration mixed-level orthogonal arrays: A general approach based on sequential integer quadratically constrained quadratic programming [PDF]
Orthogonal Fractional Factorial Designs and in particular Orthogonal Arrays are frequently used in many fields of application, including medicine, engineering and agriculture. In this paper we present a methodology and an algorithm to find an orthogonal array, of given size and strength, that satisfies the generalized minimum aberration criterion.
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Uniform fractional factorial designs
The minimum aberration criterion has been frequently used in the selection of fractional factorial designs with nominal factors. For designs with quantitative factors, however, level permutation of factors could alter their geometrical structures and ...
Lin, Dennis K. J. +2 more
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Analysis and interpretation of the Seidel aberration coefficients in digital holography [PDF]
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Champagne +10 more
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Some results on $2^{n-m}$ designs of resolution IV with (weak) minimum aberration
It is known that all resolution IV regular $2^{n-m}$ designs of run size $N=2^{n-m}$ where $5N ...
Chen, Hegang H., Cheng, Ching-Shui
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Aberrated dark-field imaging systems [PDF]
We study generalized dark-field imaging systems. These are a subset of linear shift-invariant optical imaging systems, that exhibit arbitrary aberrations, and for which normally-incident plane-wave input yields zero output.
Beltran, Mario A., Paganin, David M.
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Generalized wordlength patterns and strength
Xu and Wu (2001) defined the \emph{generalized wordlength pattern} $(A_1, ..., A_k)$ of an arbitrary fractional factorial design (or orthogonal array) on $k$ factors.
Ai +9 more
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