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» Structured Low Rank Approximation of a Bezout Matrix
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MICS
2007
128views more  MICS 2007»
13 years 10 months ago
Structured Low Rank Approximation of a Bezout Matrix
The task of determining the approximate greatest common divisor (GCD) of more than two univariate polynomials with inexact coefficients can be formulated as computing for a given B...
Dongxia Sun, Lihong Zhi
SIAMSC
2011
219views more  SIAMSC 2011»
13 years 5 months ago
Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian
We consider the problem of estimating the uncertainty in large-scale linear statistical inverse problems with high-dimensional parameter spaces within the framework of Bayesian inf...
H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judi...
SCIA
2009
Springer
305views Image Analysis» more  SCIA 2009»
14 years 5 months ago
A Convex Approach to Low Rank Matrix Approximation with Missing Data
Many computer vision problems can be formulated as low rank bilinear minimization problems. One reason for the success of these problems is that they can be efficiently solved usin...
Carl Olsson, Magnus Oskarsson
CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 5 months ago
Noisy matrix decomposition via convex relaxation: Optimal rates in high dimensions
We analyze a class of estimators based on a convex relaxation for solving highdimensional matrix decomposition problems. The observations are the noisy realizations of the sum of ...
Alekh Agarwal, Sahand Negahban, Martin J. Wainwrig...
IDEAL
2010
Springer
13 years 8 months ago
Approximating the Covariance Matrix of GMMs with Low-Rank Perturbations
: Covariance matrices capture correlations that are invaluable in modeling real-life datasets. Using all d2 elements of the covariance (in d dimensions) is costly and could result ...
Malik Magdon-Ismail, Jonathan T. Purnell