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A method for screening active effects in supersaturated designs
Mixed-level Partial least-squares Supersaturated design
2015/3/18
A sup ersaturated design (SSD) is a design whose run size is not enough for estimating all the main effects. The goal in conducting such a design is to identify,
presumably only a few, relatively dom...
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere
2015/3/18
In this paper we propose a method associated with an algorithm for
generating uniformly scattered points on the the Lp-norm unit sphere and
discuss its applications in statistical simulation, repres...
An effective method to compute closure ordering for nilpotent orbits of $θ$-representations
compute closure nilpotent orbits of $θ$-representations Algebraic Geometry
2011/8/31
Abstract: We develop an algorithm for computing the closure of a given nilpotent $G_0$-orbit in $\g_1$, where $\g_1$ and $G_0$ are coming from a $\Z$ or a $\Z/m\Z$-grading $\g= \bigoplus \g_i$ of a si...
Bilinear complexity of algebras and the Chudnovsky-Chudnovsky interpolation method
Bilinear complexity of algebras Chudnovsky-Chudnovsky interpolation method Computational Complexity
2011/9/29
Abstract: We give new improvements to the Chudnovsky-Chudnovsky method that provides upper bounds on the bilinear complexity of multiplication in extensions of finite fields through interpolation on a...
The q-WZ Method for Infinite Series
basic hypergeometric series the q-Gosper algorithm the q-Zeilberger algorithm the q-WZ method
2014/6/3
Motivated by the telescoping proofs of two identities of Andrews and Warnaar, we find that infinite q-shifted factorials can be incorporated into the implementation of the q-Zeilberger algorithm in th...