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Sparse Non-Smooth Atomic Decomposition of Quasi-Banach Lattices

Journal of Fourier Analysis and Applications, 2022
N. Hatano, Ryota Kawasumi, Y. Sawano
semanticscholar   +1 more source

Face detection by optimal atomic decomposition

SPIE Proceedings, 2005
Atomic decompositions are lower-cost alternatives to the principal component analysis (PCA) in tasks where sparse signal representation is required. In pattern classifications tasks, e.g. face detection, a careful selection of atoms is needed in order to ensure an optimal and fast-operating decomposition to be used in the feature extraction stage.
Vladislav Uzunov   +3 more
openaire   +1 more source

Atomic Decomposition and Composition Operators on Variable Exponent Bergman Spaces

Mediterranean Journal of Mathematics, 2021
Zi-cong Yang, Ze‐hua Zhou
semanticscholar   +1 more source

Atomic decomposition from S-functions

2001
In this section we prove the following: Theorem 5.1. Let $$ \left\{ {\varphi _1 ,\varphi _2 , \cdots ,\varphi _J } \right\} \subset S $$ (5.1) and $$ \sup \left\{ {\sum\limits_{i = 1}^J {\left| {F\varphi _i \left( {t\xi } \right)} \right|} :t > 0} \right\} > 0{\rm{ }}for{\rm{ }}any{\rm{ }}\xi \in {\rm{R}}^n \backslash \left\{ 0 \right\}. $$
openaire   +1 more source

Atomic decompositions of martingale hardy–morrey spaces

Acta Mathematica Hungarica, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Unknown signal detection via atomic decomposition

Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing (Cat. No.01TH8563), 2002
A detector using atomic decomposition with a chirplet dictionary is analyzed. It is derived from the generalized likelihood ratio test and has constant false alarm rate. The atomic decomposition is performed via a genetic algorithm and compared with previous approaches.
G. Lopez-Risueno, J. Grajal
openaire   +1 more source

Uncertainty principles and ideal atomic decomposition

IEEE Transactions on Information Theory, 2001
D. Donoho, X. Huo
semanticscholar   +1 more source

Electrochemical ion insertion from the atomic to the device scale

Nature Reviews Materials, 2021
Aditya Sood   +2 more
exaly  

Discrete Littlewood-Paley-Stein Characterization and L2 Atomic Decomposition of Local Hardy Spaces

Acta Mathematica Sinica. English series, 2019
Wei Ding, Lixin Jiang, Yue-Ping Zhu
semanticscholar   +1 more source

The atomic decomposition

1989
Jan-Olov Strömberg, Alberto Torchinsky
openaire   +1 more source

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