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» Factorization as a Rank 1 Problem
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JMLR
2012
13 years 4 months ago
High-Rank Matrix Completion
This paper considers the problem of completing a matrix with many missing entries under the assumption that the columns of the matrix belong to a union of multiple low-rank subspa...
Brian Eriksson, Laura Balzano, Robert Nowak
113
Voted
ASIACRYPT
2007
Springer
15 years 8 months ago
When e-th Roots Become Easier Than Factoring
We show that computing e-th roots modulo n is easier than factoring n with currently known methods, given subexponential access to an oracle outputting the roots of numbers of the ...
Antoine Joux, David Naccache, Emmanuel Thomé...
114
Voted
CORR
2007
Springer
129views Education» more  CORR 2007»
15 years 1 months ago
A Rank-Metric Approach to Error Control in Random Network Coding
It is shown that the error control problem in random network coding can be reformulated as a generalized decoding problem for rank-metric codes. This result allows many of the too...
Danilo Silva, Frank R. Kschischang, Ralf Koetter
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
16 years 2 months ago
Numerical linear algebra in the streaming model
We give near-optimal space bounds in the streaming model for linear algebra problems that include estimation of matrix products, linear regression, low-rank approximation, and app...
Kenneth L. Clarkson, David P. Woodruff
SDM
2012
SIAM
294views Data Mining» more  SDM 2012»
13 years 4 months ago
Kernelized Probabilistic Matrix Factorization: Exploiting Graphs and Side Information
We propose a new matrix completion algorithm— Kernelized Probabilistic Matrix Factorization (KPMF), which effectively incorporates external side information into the matrix fac...
Tinghui Zhou, Hanhuai Shan, Arindam Banerjee, Guil...