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SIAMMA
2010
63views more  SIAMMA 2010»
12 years 11 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»
12 years 12 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»
12 years 12 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 14 days 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 7 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...