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» On the Number of Birch Partitions
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EMNLP
2008
13 years 10 months ago
Phrase Translation Probabilities with ITG Priors and Smoothing as Learning Objective
The conditional phrase translation probabilities constitute the principal components of phrase-based machine translation systems. These probabilities are estimated using a heurist...
Markos Mylonakis, Khalil Sima'an
COMBINATORICS
2006
153views more  COMBINATORICS 2006»
13 years 8 months ago
BG-Ranks and 2-Cores
We find the number of partitions of n whose BG-rank is j, in terms of pp(n), the number of pairs of partitions whose total number of cells is n, giving both bijective and generati...
William Y. C. Chen, Kathy Q. Ji, Herbert S. Wilf
JCO
2006
96views more  JCO 2006»
13 years 8 months ago
One-dimensional optimal bounded-shape partitions for Schur convex sum objective functions
Consider the problem of partitioning n nonnegative numbers into p parts, where part i can be assigned ni numbers with ni lying in a given range. The goal is to maximize a Schur con...
F. H. Chang, H. B. Chen, J. Y. Guo, Frank K. Hwang...
COMBINATORICS
2007
75views more  COMBINATORICS 2007»
13 years 8 months ago
Maximal Projective Degrees for Strict Partitions
Let λ be a partition, and denote by fλ the number of standard tableaux of shape λ. The asymptotic shape of λ maximizing fλ was determined in the classical work of Logan and S...
D. Bernstein, A. Henke, A. Regev
BMCBI
2010
100views more  BMCBI 2010»
13 years 8 months ago
Partitioning of copy-number genotypes in pedigrees
Background: Copy number variations (CNVs) and polymorphisms (CNPs) have only recently gained the genetic community's attention. Conservative estimates have shown that CNVs an...
Louis-Philippe Lemieux Perreault, Gregor U. Andelf...