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» Parity check matrices and product representations of squares
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COMBINATORICA
2008
84views more  COMBINATORICA 2008»
13 years 4 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
TCOM
2010
98views more  TCOM 2010»
12 years 11 months ago
Large-Girth Nonbinary QC-LDPC Codes of Various Lengths
In this paper, we construct nonbinary quasi-cyclic low-density parity-check (QC-LDPC) codes whose parity check matrices consist of an array of square sub-matrices which are either ...
Jie Huang, Lei Liu, Wuyang Zhou, Shengli Zhou
CORR
2010
Springer
200views Education» more  CORR 2010»
13 years 4 months ago
A Multilevel Approach For Nonnegative Matrix Factorization
Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particul...
Nicolas Gillis, François Glineur
ISMVL
2007
IEEE
112views Hardware» more  ISMVL 2007»
13 years 10 months ago
Survey of Stochastic Computation on Factor Graphs
Stochastic computation is a new alternative approach for iterative computation on factor graphs. In this approach, the information is represented by the statistics of the bit stre...
Saeed Sharifi Tehrani, Shie Mannor, Warren J. Gros...
CORR
2010
Springer
75views Education» more  CORR 2010»
13 years 4 months ago
Linear Algebra in the vector space of intervals
In a previous paper, we have given an algebraic model to the set of intervals. Here, we apply this model in a linear frame. For example, we define a notion of diagonalization of s...
Nicolas Goze