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Author ID: saito.naoki Recent zbMATH articles by "Saito, Naoki"
Published as: Saito, Naoki; Saito, N.
Documents Indexed: 33 Publications since 1981
Co-Authors: 16 Co-Authors with 24 Joint Publications
270 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 146 times in 113 Documents Cited by Year
Multiresolution representations using the autocorrelation functions of compactly supported wavelets. Zbl 0841.94019
Saito, Naoki; Beylkin, Gregory
28
1993
Data analysis and representation on a general domain using eigenfunctions of Laplacian. Zbl 1148.94005
Saito, Naoki
24
2008
Numerical study of billiard motion in an annulus bounded by non-concentric circles. Zbl 1194.65125
Saitô, N.; Hirooka, H.; Ford, J.; Vivaldi, F.; Walker, G. H.
14
1982
Local discriminant bases and their applications. Zbl 0863.94004
Saito, Naoki; Coifman, Ronald R.
11
1995
Discriminant feature extraction using empirical probability density estimation and a local basis library. Zbl 1010.68157
Saito, Naoki; Coifman, Ronald R.; Geshwind, Frank B.; Warner, Fred
10
2002
Mysteries around the graph Laplacian eigenvalue 4. Zbl 1262.05102
Nakatsukasa, Yuji; Saito, Naoki; Woei, Ernest
9
2013
The polyharmonic local sine transform: a new tool for local image analysis and synthesis without edge effect. Zbl 1089.94003
Saito, Naoki; Remy, Jean-François
8
2006
Constructions of periodic wavelet frames using extension principles. Zbl 1183.42040
Zhang, Zhihua; Saito, Naoki
8
2009
Constructions of local orthonormal bases for classification and regression. Zbl 0801.62004
Coifman, Ronald R.; Saito, Naoki
5
1994
Analysis of neuronal dendrite patterns using eigenvalues of graph Laplacians. Zbl 1275.92010
Saito, Naoki; Woei, Ernest
5
2009
On an efficient sparse representation of objects of general shape via continuous extension and wavelet approximation. Zbl 1184.94059
Saito, Naoki; Zhang, Zhihua
5
2010
Natural graph wavelet packet dictionaries. Zbl 1462.65229
Cloninger, Alexander; Li, Haotian; Saito, Naoki
3
2021
Hierarchical graph Laplacian eigen transforms. Zbl 1459.42056
Irion, Jeff; Saito, Naoki
3
2014
Ring-like structures of frequency domains of wavelets. Zbl 1196.42032
Zhang, Zhihua; Saito, Naoki
2
2010
Image approximation and modeling via least statistically dependent bases. Zbl 0995.68164
Saito, Naoki
2
2001
The generalized spike process, sparsity, and statistical independence. Zbl 1080.60040
Saito, Naoki
2
2004
Tree simplification and the ‘plateaux’ phenomenon of graph Laplacian eigenvalues. Zbl 1315.05087
Saito, Naoki; Woei, Ernest
2
2015
On Rayleigh-type formulas for a non-local boundary value problem associated with an integral operator commuting with the Laplacian. Zbl 1443.47047
Hermi, Lotfi; Saito, Naoki
1
2018
Sparsity vs. statistical independence in adaptive signal representations: A case study of the spike process. Zbl 1087.94011
Bénichou, Bertrand; Saito, Naoki
1
2003
Local feature extraction and its applications using a library of bases. Zbl 1023.94001
Saito, Naoki
1
2000
Signal ensemble classification using low-dimensional embeddings and earth mover’s distance. Zbl 1258.94027
Lieu, Linh; Saito, Naoki
1
2011
PHLST with adaptive tiling and its application to Antarctic remote sensing image approximation. Zbl 1284.42090
Zhang, Zhihua; Saito, Naoki
1
2014
Natural graph wavelet packet dictionaries. Zbl 1462.65229
Cloninger, Alexander; Li, Haotian; Saito, Naoki
3
2021
On Rayleigh-type formulas for a non-local boundary value problem associated with an integral operator commuting with the Laplacian. Zbl 1443.47047
Hermi, Lotfi; Saito, Naoki
1
2018
Tree simplification and the ‘plateaux’ phenomenon of graph Laplacian eigenvalues. Zbl 1315.05087
Saito, Naoki; Woei, Ernest
2
2015
Hierarchical graph Laplacian eigen transforms. Zbl 1459.42056
Irion, Jeff; Saito, Naoki
3
2014
PHLST with adaptive tiling and its application to Antarctic remote sensing image approximation. Zbl 1284.42090
Zhang, Zhihua; Saito, Naoki
1
2014
Mysteries around the graph Laplacian eigenvalue 4. Zbl 1262.05102
Nakatsukasa, Yuji; Saito, Naoki; Woei, Ernest
9
2013
Signal ensemble classification using low-dimensional embeddings and earth mover’s distance. Zbl 1258.94027
Lieu, Linh; Saito, Naoki
1
2011
On an efficient sparse representation of objects of general shape via continuous extension and wavelet approximation. Zbl 1184.94059
Saito, Naoki; Zhang, Zhihua
5
2010
Ring-like structures of frequency domains of wavelets. Zbl 1196.42032
Zhang, Zhihua; Saito, Naoki
2
2010
Constructions of periodic wavelet frames using extension principles. Zbl 1183.42040
Zhang, Zhihua; Saito, Naoki
8
2009
Analysis of neuronal dendrite patterns using eigenvalues of graph Laplacians. Zbl 1275.92010
Saito, Naoki; Woei, Ernest
5
2009
Data analysis and representation on a general domain using eigenfunctions of Laplacian. Zbl 1148.94005
Saito, Naoki
24
2008
The polyharmonic local sine transform: a new tool for local image analysis and synthesis without edge effect. Zbl 1089.94003
Saito, Naoki; Remy, Jean-François
8
2006
The generalized spike process, sparsity, and statistical independence. Zbl 1080.60040
Saito, Naoki
2
2004
Sparsity vs. statistical independence in adaptive signal representations: A case study of the spike process. Zbl 1087.94011
Bénichou, Bertrand; Saito, Naoki
1
2003
Discriminant feature extraction using empirical probability density estimation and a local basis library. Zbl 1010.68157
Saito, Naoki; Coifman, Ronald R.; Geshwind, Frank B.; Warner, Fred
10
2002
Image approximation and modeling via least statistically dependent bases. Zbl 0995.68164
Saito, Naoki
2
2001
Local feature extraction and its applications using a library of bases. Zbl 1023.94001
Saito, Naoki
1
2000
Local discriminant bases and their applications. Zbl 0863.94004
Saito, Naoki; Coifman, Ronald R.
11
1995
Constructions of local orthonormal bases for classification and regression. Zbl 0801.62004
Coifman, Ronald R.; Saito, Naoki
5
1994
Multiresolution representations using the autocorrelation functions of compactly supported wavelets. Zbl 0841.94019
Saito, Naoki; Beylkin, Gregory
28
1993
Numerical study of billiard motion in an annulus bounded by non-concentric circles. Zbl 1194.65125
Saitô, N.; Hirooka, H.; Ford, J.; Vivaldi, F.; Walker, G. H.
14
1982
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Cited by 213 Authors

14 Saito, Naoki
4 Mhaskar, Hrushikesh N.
4 Ruzhansky, Michael V.
4 Suragan, Durvudkhan
4 Zhang, Zhihua
3 Cloninger, Alexander
3 Coifman, Ronald Raphaël
3 Kal’menov, Tynysbek Sharipovich
2 Arepova, Gaukhar D.
2 Barnett, Alex H.
2 Chui, Charles Kam-tai
2 Jia, HuiFang
2 Karimi, Hamid Reza
2 Kinoshita, Tamotu
2 Li, Baobin
2 Li, Luoqing
2 Oralsyn, Gulaiym
2 Otelbaev, Mukhtarbaĭ Otelbaevich
2 Paolucci, Samuel
2 Peng, Lizhong
2 Ren, Xiaoan
2 Sastry, Challa S.
2 Steinerberger, Stefan
2 Szlam, Arthur D.
2 van Dijck, Gert
2 Van Hulle, Marc M.
2 Vasilyev, Oleg V.
2 Woei, Ernest
2 Xanthis, Leonidas Spyridon
2 Zhang, Jiankang
1 Acharyya, Mausumi
1 Ahmad, Owais
1 Aminghafari, Mina
1 Arias, Tomás A.
1 Arumugam, Subramanian
1 Averbuch, Amir Z.
1 Bahmani, Asghar
1 Bao, Zheng
1 Barmada, Sami
1 Benedetto, John Joseph
1 Benzi, Michele
1 Berkner, Kathrin
1 Besse, Philippe C.
1 Bremer, James C.
1 Bruna, Joan
1 Bui, Tien Dai
1 Cai, Jia
1 Chebira, Amina
1 Chen, Guangyi
1 Chen, Hong
1 Chen, Ke
1 Chen, Na
1 Chintala, Soumith
1 Colbrook, Matthew J.
1 Czaja, Wojciech
1 Davidson, Timothy N.
1 Derbissaly, Bauyrzhan O.
1 Domange, Céline
1 Doré, Olivier
1 Edelman, Alan Stuart
1 Ehler, Martin
1 Eltoft, Torbjørn
1 Fay, Damien
1 Fickus, Matthew C.
1 Filbir, Frank-Dieter
1 Fokas, Athanassios S.
1 Francos, Joseph M.
1 Freund, Yoav
1 Fucci, Guglielmo
1 Fujinoki, Kensuke
1 Fukuda, Naohiro
1 Ganesan, Lalitha
1 Gao, Xinbo
1 Gebhardt, Henry S. Grasshorn
1 Gernandt, Hannes
1 Geshwind, Frank B.
1 Gesztesy, Fritz
1 Ghanbarzadeh, Mitra
1 Ghorbani, Ebrahim
1 Goyal, Sunita
1 Gribonval, Rémi
1 Hangelbroek, Thomas C.
1 Hashimoto, Hirofumi
1 Hassell, Andrew
1 He, Lihuo
1 Hermi, Lotfi
1 Hernández, Noslen
1 Hoffman, David K.
1 Huang, Juan
1 Hulata, Eyal
1 Ince, Nuri Firat
1 Irion, Jeff
1 Jacques, Julien
1 Jang, Gang-Won
1 Jenssen, Robert
1 Jermyn, Ian H.
1 Jørgensen, Palle E. T.
1 Kalkan, Habil
1 Karami, Ali
1 Kereta, Željko
...and 113 more Authors
all top 5

Cited in 57 Serials

13 Applied and Computational Harmonic Analysis
12 International Journal of Wavelets, Multiresolution and Information Processing
7 Journal of Computational Physics
6 Linear Algebra and its Applications
6 Pattern Recognition
4 Journal of Computational and Applied Mathematics
4 Journal of Mathematical Imaging and Vision
4 The Journal of Fourier Analysis and Applications
2 Journal of Mathematical Analysis and Applications
2 GEM - International Journal on Geomathematics
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Physics
1 Mathematics of Computation
1 Advances in Mathematics
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Applied Mathematics and Computation
1 International Journal for Numerical Methods in Engineering
1 Journal of Functional Analysis
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Journal of Time Series Analysis
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 COMPEL
1 Journal of Scientific Computing
1 Neural Networks
1 Neural Computation
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Communications in Statistics. Simulation and Computation
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Continuum Mechanics and Thermodynamics
1 Experimental Mathematics
1 Science in China. Series E
1 Doklady Mathematics
1 Econometric Theory
1 Differential Equations
1 Journal of Systems Science and Complexity
1 Entropy
1 Journal of Cosmology and Astroparticle Physics
1 Frontiers of Mathematics in China
1 Advances in Data Analysis and Classification. ADAC
1 Communications in Computational Physics
1 Inverse Problems and Imaging
1 EURASIP Journal on Advances in Signal Processing
1 The Annals of Applied Statistics
1 Journal of Pseudo-Differential Operators and Applications
1 JSIAM Letters
1 Journal of Mathematics
1 Mathematics
1 Research in the Mathematical Sciences
1 International Journal of Applied and Computational Mathematics
all top 5

Cited in 38 Fields

39 Numerical analysis (65-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
26 Partial differential equations (35-XX)
26 Information and communication theory, circuits (94-XX)
25 Computer science (68-XX)
15 Combinatorics (05-XX)
13 Statistics (62-XX)
9 Approximations and expansions (41-XX)
6 Operator theory (47-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Ordinary differential equations (34-XX)
3 Integral equations (45-XX)
3 Probability theory and stochastic processes (60-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year