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» Algorithms for solving linear systems over cyclotomic fields
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CIKM
2009
Springer
14 years 2 months ago
A social recommendation framework based on multi-scale continuous conditional random fields
This paper addresses the issue of social recommendation based on collaborative filtering (CF) algorithms. Social recommendation emphasizes utilizing various attributes informatio...
Xin Xin, Irwin King, Hongbo Deng, Michael R. Lyu
ISSAC
1990
Springer
65views Mathematics» more  ISSAC 1990»
13 years 11 months ago
Complexity of Irreducibility Testing for a System of Linear Ordinary Differential Equations
Let a system of linear ordinary differential equations of the first order Y' = AY be given, where A is n x n matrix over a field F(X), assume that the degree degx(A) < d a...
Dima Grigoriev
STOC
2007
ACM
123views Algorithms» more  STOC 2007»
14 years 7 months ago
A 3-query PCP over integers
A classic result due to H?astad established that for every constant > 0, given an overdetermined system of linear equations over a finite field Fq where each equation depends o...
Venkatesan Guruswami, Prasad Raghavendra
FOCS
2002
IEEE
14 years 13 days ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
SIAMREV
2010
174views more  SIAMREV 2010»
13 years 2 months ago
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the ...
Benjamin Recht, Maryam Fazel, Pablo A. Parrilo