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102
Multidimensional Analysis of Rankings Permutations
"... In this paper we illustrate an original approach to factorial analysis of rankings data. The proposed technique is based on the decomposition of the Spearman’s rank correlation matrix defined on a whole set of permutation. The properties of such correlation matrix will be discussed. The complete set ..."
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In this paper we illustrate an original approach to factorial analysis of rankings data. The proposed technique is based on the decomposition of the Spearman’s rank correlation matrix defined on a whole set of permutation. The properties of such correlation matrix will be discussed. The complete
Separable dpermutations and guillotine partitions
, 803
"... We characterize separable multidimensional permutations in terms of forbidden patterns and enumerate them by means of generating function, recursive formula and explicit formula. We find a connection between multidimensional permutations and guillotine partitions of a box. In particular, a bijection ..."
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We characterize separable multidimensional permutations in terms of forbidden patterns and enumerate them by means of generating function, recursive formula and explicit formula. We find a connection between multidimensional permutations and guillotine partitions of a box. In particular, a
Enumeration of Factorizable MultiDimensional Permutations
"... A ddimensional permutation is a sequence of d + 1 permutations with the leading element being the identity permutation. It can be viewed as an alignment structure across d+1 sequences, or visualized as the result of permuting n hypercubes of (d+1) dimensions. We study the hierarchical decomposition ..."
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Cited by 1 (1 self)
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A ddimensional permutation is a sequence of d + 1 permutations with the leading element being the identity permutation. It can be viewed as an alignment structure across d+1 sequences, or visualized as the result of permuting n hypercubes of (d+1) dimensions. We study the hierarchical
Heterogeneity � Outliers � Multidimensional scaling � Principal components � Permutation
, 2010
"... Background/Aims: In human casecontrol association studies, population heterogeneity is often present and can lead to increased falsepositive results. Various methods have been proposed and are in current use to remedy this situation. Methods: We assume that heterogeneity is due to a relatively sma ..."
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small number of individuals whose allele frequencies differ from those of the remainder of the sample. For this situation, we propose a new method of handling heterogeneity by removing outliers in a controlled manner. In a coordinate system of the c largest principal components in multidimensional
c Birkhauser Verlag, Basel, 2010 Annals of Combinatorics Separable dPermutations and Guillotine Partitions
, 2008
"... AMS Subject Classication: 05A05, 05A15, 05C30 Abstract. We characterize separable multidimensional permutations in terms of forbidden patterns and enumerate them by means of generating function, recursive formula, and explicit formula. We nd a connection between multidimensional permutations and g ..."
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AMS Subject Classication: 05A05, 05A15, 05C30 Abstract. We characterize separable multidimensional permutations in terms of forbidden patterns and enumerate them by means of generating function, recursive formula, and explicit formula. We nd a connection between multidimensional permutations
University of Alberta Parallel Sampling and Reconstruction with Permutation in Multidimensional Compressed Sensing
"... The advent of compressed sensing provides a new way to sample and compress signals. In this thesis, a parallel compressed sensing architecture is proposed, which samples a twodimensional reshaped multidimensional signal column by column using the same sensing matrix. Compared to architectures that s ..."
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The advent of compressed sensing provides a new way to sample and compress signals. In this thesis, a parallel compressed sensing architecture is proposed, which samples a twodimensional reshaped multidimensional signal column by column using the same sensing matrix. Compared to architectures
On multidimensional patterns
, 2008
"... We generalize the concept of pattern occurrence in permutations, words or matrices to that in ndimensional objects, which are basically sets of (n + 1)tuples. In the case n = 3, we give a possible interpretation of such patterns in terms of bipartite graphs. For zerobox patterns we study vanishin ..."
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Cited by 2 (1 self)
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We generalize the concept of pattern occurrence in permutations, words or matrices to that in ndimensional objects, which are basically sets of (n + 1)tuples. In the case n = 3, we give a possible interpretation of such patterns in terms of bipartite graphs. For zerobox patterns we study
On multidimensional patterns
, 2004
"... Abstract We generalize the concept of pattern occurrence in permutations, words or matrices to pattern occurrence in ndimensional objects, which are basically sets of (n+1)tuples. In the case n = 3, we give a possible interpretation of such patterns in terms of bipartite graphs. For zerobox patter ..."
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Abstract We generalize the concept of pattern occurrence in permutations, words or matrices to pattern occurrence in ndimensional objects, which are basically sets of (n+1)tuples. In the case n = 3, we give a possible interpretation of such patterns in terms of bipartite graphs. For zerobox
KeyWords: Tensor Product – WHT – Multidimensional Transforms – Modular Structures – Recursive Formulations – Permutation Matrices
"... Abstract: This paper presents a new recursive formulation for WalshHadamard Transform (WHT) that allows the generation of higher order (longer size) multidimensional (md) WHT architectures from m2 lower order (shorter sizes) WHT architectures. Our methodology is based on manipulating tensor produ ..."
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Abstract: This paper presents a new recursive formulation for WalshHadamard Transform (WHT) that allows the generation of higher order (longer size) multidimensional (md) WHT architectures from m2 lower order (shorter sizes) WHT architectures. Our methodology is based on manipulating tensor
Multidimensional Golden Means
 Proc. 1992 Conf. on Fibonacci Numbers & Their Applications
, 1993
"... We investigate a geometric construction which yields periodic continued fractions and generalize it to higher dimensions. The simplest of these constructions yields a number which we call a two (or higher) dimensional golden mean, since it appears as a limit of ratios of a generalized Fibonacci sequ ..."
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Cited by 3 (1 self)
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Carlo integration and image processing. In [2] we exploit the twodimensional example to derive pixel permutations in order to produce computer graphics images rapidly. 1 1D: Probing the Line The golden mean, ø , can be represented as: p 5 \Gamma 1 2 = lim n!1 Fn\Gamma1 Fn = 1 1 + 1 1+ 1 1+ 1 1
Results 1  10
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102