On best partial bases
نویسندگان
چکیده
منابع مشابه
On the Statistics of Best Bases Criteria ?
Wavelet packets are a useful extension of wavelets providing an adaptive timescale analysis. In using noisy observations of a signal of interest, the criteria for best bases representation are random variables. The search may thus be very sensitive to noise. In this paper, we characterize the asymptotic statistics of the criteria to gain insight which can in turn, be used to improve on the perf...
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Feature extraction is important in pattern recognition. Wavelet packet has been recently used in choosing the best bases for feature extraction in classiication, combining the feature extraction and feature selection processes into one. This paper proposed a new criterion for best bases selection for classiication. In contrast with the previous work in this area, the new criterion is more robus...
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Article history: Received 2 October 2016 Accepted 3 October 2016 Available online xxxx Presented by Haïm Brézis We discuss the topic of selecting optimal orthonormal bases for representing classes of signals defined either through statistics or via some deterministic characterizations, or combinations of the two. In all cases, the best bases result from spectral analysis of a Hermitian matrix t...
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It is known that for Pn, the subspace of C([−1, 1]) of all polynomials of degree at most n, the least basis condition number κ∞(Pn) (also called the Banach-Mazur distance between Pn and `n+1 ∞ ) is bounded from below by the projection constant of Pn in C([−1, 1]). We show that κ∞(Pn) is in fact the generalized interpolating projection constant of Pn in C([−1, 1]), and is consequently bounded fr...
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De la recherche p etroli ere a la g eometrie des espaces de Banach en passant par les paraproduits, preprint, Ecole Polytechnique, Palaiseau, Seminaire equations aux d eriv ees partielles (1985{1986).
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1986
ISSN: 0021-9045
DOI: 10.1016/0021-9045(86)90022-5