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SIAMNUM
2011
139views more  SIAMNUM 2011»
13 years 3 months ago
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possibl...
Nabi Chegini, Rob Stevenson
SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 3 months ago
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of ...
Pavel B. Bochev, Kara Peterson, Christopher M. Sie...
JMLR
2010
132views more  JMLR 2010»
13 years 3 months ago
Learning Gradients: Predictive Models that Infer Geometry and Statistical Dependence
The problems of dimension reduction and inference of statistical dependence are addressed by the modeling framework of learning gradients. The models we propose hold for Euclidean...
Qiang Wu, Justin Guinney, Mauro Maggioni, Sayan Mu...
SIAMNUM
2010
120views more  SIAMNUM 2010»
13 years 3 months ago
Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross
Hyperbolic cross approximations by some classical orthogonal polynomials/functions in both bounded and unbounded domains are considered in this paper. Optimal error estimates in pr...
Jie Shen, Li-lian Wang
ICASSP
2011
IEEE
13 years 13 days ago
Proportionate-type normalized least mean square algorithm with gain allocation motivated by minimization of mean-square-weight d
In previous work, a water-filling algorithm was proposed which sought to minimize the mean square error (MSE) at any given time by optimally choosing the gains (i.e. step-sizes) ...
Kevin T. Wagner, Milos Doroslovacki