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128
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JC
2006
97views more  JC 2006»
15 years 1 months ago
Optimal approximation of elliptic problems by linear and nonlinear mappings II
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Stephan Dahlke, Erich Novak, Winfried Sickel
DAGSTUHL
2004
15 years 3 months ago
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Erich Novak, Stephan Dahlke, Winfried Sickel
NIPS
2004
15 years 3 months ago
A Direct Formulation for Sparse PCA Using Semidefinite Programming
We examine the problem of approximating, in the Frobenius-norm sense, a positive, semidefinite symmetric matrix by a rank-one matrix, with an upper bound on the cardinality of its...
Alexandre d'Aspremont, Laurent El Ghaoui, Michael ...
133
Voted
CORR
2008
Springer
143views Education» more  CORR 2008»
15 years 1 months ago
Locally computable approximations for spectral clustering and absorption times of random walks
We address the problem of determining a natural local neighbourhood or "cluster" associated to a given seed vertex in an undirected graph. We formulate the task in terms...
Pekka Orponen, Satu Elisa Schaeffer, Vanesa Avalos...
MCS
2010
Springer
15 years 8 days ago
Goal-oriented a posteriori error estimates for transport problems
Some aspects of goal-oriented a posteriori error estimation are addressed in the context of steady convection-diffusion equations. The difference between the exact and approxima...
Dmitri Kuzmin, Sergey Korotov