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The aim of ALENEX is to provide a forum for the presentation of original research in the design, implementation, and experimental evaluation of algorithms and data structures. Typical submissions will...
A New Algorithm for Determinant Evaluation - The Reduction Method
New Algorithm Determinant Evaluation - The Reduction Method
2011/1/19
We present here a new method for determinant evaluation – the reduction method. Firstly,in the section 2, we apply it to third order determinants and after, in the section 3, we generalize it to highe...
Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method
Multistep epsilon-algorithm Shanks' transformation Lotka-Volterra system Hirota's method
2011/2/28
In this paper, we give a multistep extension of the "–algorithm of Wynn, and we show that it implements a multistep extension of the Shanks’ sequence transformation which is cdefined by ratios of dete...
A new algorithm for computing the multivariate Faà di Bruno's formula
multivariate composite function Fa`a di Bruno’s formula multivariate cumulant
2011/3/1
A new algorithm for computing the multivariate Fa`a di Bruno’s formula is provided.We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa`a...
Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Lossless systems input normal forms output normal forms balanced canonical forms
2011/2/21
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllability matrix is positi...
Improving PPM Algorithm Using Dictionaries
Text compression Markov model PPM Dictionary model
2011/2/22
We propose a method to improve traditional character-based PPM text compression algorithms. Consider a text file as a sequence of alternating words and non-words, the basic idea of our algorithm is to...
Poset pinball, the dimension pair algorithm, and type A regular nilpotent Hessenberg varieties
Poset pinball the dimension pair algorithm type regular nilpotent Hessenberg varieties
2011/2/22
In thismanuscript we develop the theory of poset pinball, a combinatorial game recently introduced by Harada and Tymoczko for the study of the equivariant cohomology rings of GKM-compatible subspaces ...
Improvements on Cantor-Zassenhaus Factorization Algorithm
Polynomial factorization Cantor-Zassenhaus
2011/2/25
After revisiting Cantor-Zassenhaus polynomial factorization algorithm, we describe a new
simplified version of it, which requires less computational cost.
An Efficient Algorithm for Haplotype Inference on Pedigrees with a Small Number of Recombinants
computational biology, haplotype inference, pedigree, recombinare combination,algorithm, probabilistic model.
2012/12/3
Combinatorial (or rule-based) methods for inferring haplotypes from genotypes on a pedigree have been studied extensively in the recent literature. These methods generally try to reconstruct the haplo...
BSGI: An Effective Algorithm towards Stronger l-Diversity
Privacy preservation BSGI k-anonymity l-diversity UniqueDistinct l-diversity 3535
2012/12/3
To reduce the risk of privacy disclosure during personal data publishing, the approach of anonymization is widely employed. On this topic, current
studies mainly focus on two directions: (1)developin...
BSGI: An Effective Algorithm towards Stronger l-Diversity
Privacy preservation BSGI, k-anonymity l-diversity Unique-Distinct l-diversity.
2012/11/30
To reduce the risk of privacy disclosure during personal data publishing, the approach of anonymization is widely employed. On this topic, current studies mainly focus on two directions: (1)developing...
Predictive Admission Control Algorithm for Advance Reservation in Equipment Grid.
Admission Control Algorithm Advance Reservation Equipment Grid.
2012/11/30
Experiments submitted to equipment grid have quality of service (QoS) requirements, and advance reservation is used to satisfy such requirements. Due to the dynamic behaviors and fluctuations of resou...