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SIAMMA
2010
63views more  SIAMMA 2010»
13 years 3 months ago
Sparse Tensor Product Wavelet Approximation of Singular Functions
Abstract. On product domains, sparse-grid approximation yields optimal, dimension-independent convergence rates when the function that is approximated has L2-bounded mixed derivati...
Monique Dauge, Rob Stevenson
TIP
2011
170views more  TIP 2011»
13 years 3 months ago
A New Hybrid Method for Image Approximation Using the Easy Path Wavelet Transform
The Easy Path Wavelet Transform (EPWT) has recently been proposed by one of the authors as a tool for sparse representations of bivariate functions from discrete data, in particul...
Gerlind Plonka, Stefanie Tenorth, Daniela Rosca
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
ICA
2012
Springer
12 years 4 months ago
On Revealing Replicating Structures in Multiway Data: A Novel Tensor Decomposition Approach
A novel tensor decomposition called pattern or P-decomposition is proposed to make it possible to identify replicating structures in complex data, such as textures and patterns in ...
Anh Huy Phan, Andrzej Cichocki, Petr Tichavsk&yacu...
SIAMMAX
2011
141views more  SIAMMAX 2011»
12 years 11 months ago
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
Higher-order tensors are used in many application fields, such as statistics, signal processing, and scientific computing. Efficient and reliable algorithms for manipulating thes...
Mariya Ishteva, Pierre-Antoine Absil, Sabine Van H...