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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
core +7 more sources
A complementary design theory for doubling [PDF]
Chen and Cheng [Ann. Statist. 34 (2006) 546--558] discussed the method of doubling for constructing two-level fractional factorial designs. They showed that for $9N/32\le n\le 5N/16$, all minimum aberration designs with $N$ runs and $n$ factors are projections of the maximal design with $5N/16$ factors which is constructed by repeatedly doubling the $2^
arxiv +1 more source
Generalised photon sieves: fine control of complex fields with simple pinhole arrays [PDF]
Spatial shaping of light beams has led to numerous new applications in fields such as imaging, optical communication, and micromanipulation. However, structured radiation is less well explored beyond visible optics, where methods for shaping fields are ...
Li, F.+3 more
core +1 more source
Blocked regular fractional factorial designs with minimum aberration [PDF]
This paper considers the construction of minimum aberration (MA) blocked factorial designs. Based on coding theory, the concept of minimum moment aberration due to Xu [Statist.
Xu, Hongquan
core +2 more sources
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.
core +2 more sources
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
core +1 more source
Design Selection for Two-Level Multi-Stratum Factorial Experiments Based on Swarm Intelligence Optimization [PDF]
For unstructured experimental units, the minimum aberration due to Fries and Hunter (1980) is a popular criterion for choosing regular fractional factorial designs. Following which, many related studies have focused on multi-stratum factorial designs, in which multiple error terms arise from the complicated structures of experimental units.
arxiv
Aberration in qualitative multilevel designs
Generalized Word Length Pattern (GWLP) is an important and widely-used tool for comparing fractional factorial designs. We consider qualitative factors, and we code their levels using the roots of the unity. We write the GWLP of a fraction ${\mathcal F}$
Chen+22 more
core +1 more source
Identification of novel small molecule inhibitors of ETS transcription factors
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla+9 more
wiley +1 more source
J2 optimality and Multi-level Minimum Aberration Criteria in fractional factorial design [PDF]
The desirable properties of fractional factorial design: Balance and orthogonal; was examined for near balance and near orthogonal using the balance coefficient and J2 optimality criteria respectively.
B.L., Adeleke+2 more
core +1 more source