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Overcompleteness is a
concept from
linear algebra that is
widely used in mathematics,
computer science, engineering, and
statistics (usually in the form...
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transform (CWT) is a
formal (i.e., non-numerical) tool that
provides an
overcomplete representation of a
signal by
letting the
translation and
scale parameter...
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denoising and classification,
video and
audio processing.
Sparsity and
overcomplete dictionaries have
immense applications in
image compression,
image fusion...
- M Elad, and A Bruckstein. 2006. "K-SVD: An
Algorithm for
Designing Overcomplete Dictionaries for Sp****
Representation Archived 2018-11-23 at the Wayback...
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authors defined a
generalisation of
independent components analysis to the
overcomplete setting using EBMs.
Other early work on EBMs
proposed models that represented...
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respect to
either a complete,
orthonormal set of
basis functions, or an
overcomplete set or
frame of a
vector space, for the
Hilbert space of square-integrable...
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provided that it is with
respect to an
overcomplete basis. When the
density operator is
represented in such an
overcomplete basis, then it can be
written in...
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larger than the
dimensionality of the
input set, the
coding is
overcomplete.
Overcomplete codings smoothly interpolate between input vectors and are robust...
- states,
expressed as
eigenvectors of the
lowering operator and
forming an
overcomplete family, were
introduced in the
early papers of John R. Klauder, e.g....
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representation from
unlabeled input data. Sp****
coding can be
applied to
learn overcomplete dictionaries,
where the
number of
dictionary elements is
larger than...
