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SIAMMAX
2010
84views more  SIAMMAX 2010»
12 years 11 months ago
Smoothed Analysis of Moore-Penrose Inversion
Abstract. We perform a smoothed analysis of the condition number of rectangular matrices. We prove that, asymptotically, the expected value of this condition number depends only of...
Peter Bürgisser, Felipe Cucker
CORR
2007
Springer
105views Education» more  CORR 2007»
13 years 5 months ago
Relative-Error CUR Matrix Decompositions
Many data analysis applications deal with large matrices and involve approximating the matrix using a small number of “components.” Typically, these components are linear combi...
Petros Drineas, Michael W. Mahoney, S. Muthukrishn...
JAT
2008
100views more  JAT 2008»
13 years 5 months ago
Direct and inverse results in variable Hilbert scales
Variable Hilbert scales are an important tool for the recent analysis of inverse problems in Hilbert spaces, as these constitute a way to describe smoothness of objects other than ...
Peter Mathé, Bernd Hofmann
TIP
1998
142views more  TIP 1998»
13 years 4 months ago
Inversion of large-support ill-posed linear operators using a piecewise Gaussian MRF
Abstract—We propose a method for the reconstruction of signals and images observed partially through a linear operator with a large support (e.g., a Fourier transform on a sparse...
Mila Nikolova, Jérôme Idier, Ali Moha...
ICIP
2003
IEEE
14 years 6 months ago
A Bayesian approach to inclusion and performance analysis of using extra information in bioelectric inverse problems
Due to attenuation and spatial smoothing that occurs in the conducting media, the bioelectric inverse problem of estimating sources from remote measurements is ill-posed and solut...
Yesim Serinagaoglu, Dana H. Brooks, Robert S. MacL...