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Optimally Sparse Representation in General (non-Orthogonal) Dictionaries via
Sparse Representation Overcomplete Representation
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2015/8/21
Given a ‘dictionary’ D = {dk} of vectors dk, we seek to represent a signal S as a
linear combination S =
k γ(k)dk, with scalar coefficients γ(k). In particular, we aim for
the sparsest repre...
Principal Eigenvalue and Maximum Principle for some Elliptic Systems defined on General Domains with Refined Dirichlet Boundary Condition
General domains Refined Dirichlet Boundary Condition Refined Maximum Principle Elliptic Systems
<
2009/6/16
We prove the existence of a principal eigenvalue and we derive a ”Refined Maximum
Principle” for an elliptic system LU = LMU +F defined on an irregular bounded
domain in RN with Refined Dirichlet Bo...
MORE GENERAL CONSTRUCTIONS OF WAVELETS ON THE INTERVAL
multiresolution analysis wavelet Sobolev space
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2008/11/26
In this paper we present general constructions of orthogonal and biorthogonal multiresolution
analysis on the interval. In the first one, we describe a direct method to
define an orthonormal multire...