Liu, Yucong; Jiao, Simiao; Lim, Lek-Heng Lu decomposition and Toeplitz decomposition of a neural network. (English) Zbl 07796949 Appl. Comput. Harmon. Anal. 68, Article ID 101601, 12 p. (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 68T05 65F15 15A23 15B05 41A30 PDFBibTeX XMLCite \textit{Y. Liu} et al., Appl. Comput. Harmon. Anal. 68, Article ID 101601, 12 p. (2024; Zbl 07796949) Full Text: DOI arXiv
Voigtlaender, Felix The universal approximation theorem for complex-valued neural networks. (English) Zbl 1528.41050 Appl. Comput. Harmon. Anal. 64, 33-61 (2023). MSC: 41A30 30E10 31A30 41A63 68T07 PDFBibTeX XMLCite \textit{F. Voigtlaender}, Appl. Comput. Harmon. Anal. 64, 33--61 (2023; Zbl 1528.41050) Full Text: DOI arXiv
Siegel, Jonathan W.; Xu, Jinchao High-order approximation rates for shallow neural networks with cosine and \(\mathrm{ReLU}^k\) activation functions. (English) Zbl 1501.41006 Appl. Comput. Harmon. Anal. 58, 1-26 (2022). MSC: 41A30 42C40 46E35 65D05 PDFBibTeX XMLCite \textit{J. W. Siegel} and \textit{J. Xu}, Appl. Comput. Harmon. Anal. 58, 1--26 (2022; Zbl 1501.41006) Full Text: DOI arXiv
Qu, Wei; Qian, Tao; Deng, Guan-Tie A stochastic sparse representation: \(n\)-best approximation to random signals and computation. (English) Zbl 1471.94012 Appl. Comput. Harmon. Anal. 55, 185-198 (2021). MSC: 94A12 41A30 41A50 30B99 60G35 60G07 60G10 94A08 PDFBibTeX XMLCite \textit{W. Qu} et al., Appl. Comput. Harmon. Anal. 55, 185--198 (2021; Zbl 1471.94012) Full Text: DOI
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L. Orthogonal polynomials, biorthogonal polynomials and spline functions. (English) Zbl 1460.41004 Appl. Comput. Harmon. Anal. 52, 141-164 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A30 41A58 42A38 33C45 65D07 PDFBibTeX XMLCite \textit{S. S. Goh} et al., Appl. Comput. Harmon. Anal. 52, 141--164 (2021; Zbl 1460.41004) Full Text: DOI
Cuyt, Annie; Lee, Wen-shin How to get high resolution results from sparse and coarsely sampled data. (English) Zbl 1442.94020 Appl. Comput. Harmon. Anal. 48, No. 3, 1066-1087 (2020). Reviewer: Manfred Tasche (Rostock) MSC: 94A12 41A30 65F15 65F20 PDFBibTeX XMLCite \textit{A. Cuyt} and \textit{W.-s. Lee}, Appl. Comput. Harmon. Anal. 48, No. 3, 1066--1087 (2020; Zbl 1442.94020) Full Text: DOI arXiv
Landa, Boris; Shkolnisky, Yoel Approximation scheme for essentially bandlimited and space-concentrated functions on a disk. (English) Zbl 1371.41026 Appl. Comput. Harmon. Anal. 43, No. 3, 381-403 (2017). MSC: 41A30 94A12 PDFBibTeX XMLCite \textit{B. Landa} and \textit{Y. Shkolnisky}, Appl. Comput. Harmon. Anal. 43, No. 3, 381--403 (2017; Zbl 1371.41026) Full Text: DOI
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L. Appell sequences, continuous wavelet transforms and series expansions. (English) Zbl 1373.41003 Appl. Comput. Harmon. Anal. 43, No. 2, 317-345 (2017). Reviewer: Richard A. Zalik (Auburn) MSC: 41A15 41A30 41A58 41A80 42C20 42C40 PDFBibTeX XMLCite \textit{S. S. Goh} et al., Appl. Comput. Harmon. Anal. 43, No. 2, 317--345 (2017; Zbl 1373.41003) Full Text: DOI
Lanzara, F.; Maz’ya, V.; Schmidt, G. Approximation of solutions to multidimensional parabolic equations by approximate approximations. (English) Zbl 1348.65061 Appl. Comput. Harmon. Anal. 41, No. 3, 749-767 (2016). MSC: 65D32 65-05 41A30 41A63 PDFBibTeX XMLCite \textit{F. Lanzara} et al., Appl. Comput. Harmon. Anal. 41, No. 3, 749--767 (2016; Zbl 1348.65061) Full Text: DOI
Monnig, Nathan D.; Fornberg, Bengt; Meyer, François G. Inverting nonlinear dimensionality reduction with scale-free radial basis function interpolation. (English) Zbl 1297.65015 Appl. Comput. Harmon. Anal. 37, No. 1, 162-170 (2014). MSC: 65D05 41A05 41A30 PDFBibTeX XMLCite \textit{N. D. Monnig} et al., Appl. Comput. Harmon. Anal. 37, No. 1, 162--170 (2014; Zbl 1297.65015) Full Text: DOI arXiv
Krivoshein, A. V. On construction of multivariate symmetric MRA-based wavelets. (English) Zbl 1311.42089 Appl. Comput. Harmon. Anal. 36, No. 2, 215-238 (2014). Reviewer: Bin Han (Edmonton) MSC: 42C40 42C15 41A30 41A25 PDFBibTeX XMLCite \textit{A. V. Krivoshein}, Appl. Comput. Harmon. Anal. 36, No. 2, 215--238 (2014; Zbl 1311.42089) Full Text: DOI arXiv
Grohs, P. Tree approximation with anisotropic decompositions. (English) Zbl 1243.65169 Appl. Comput. Harmon. Anal. 33, No. 1, 44-57 (2012). Reviewer: Yuri A. Farkov (Moscow) MSC: 65T60 94A08 41A30 PDFBibTeX XMLCite \textit{P. Grohs}, Appl. Comput. Harmon. Anal. 33, No. 1, 44--57 (2012; Zbl 1243.65169) Full Text: DOI
Mhaskar, H. N. Eignets for function approximation on manifolds. (English) Zbl 1201.41003 Appl. Comput. Harmon. Anal. 29, No. 1, 63-87 (2010). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A30 68Q17 PDFBibTeX XMLCite \textit{H. N. Mhaskar}, Appl. Comput. Harmon. Anal. 29, No. 1, 63--87 (2010; Zbl 1201.41003) Full Text: DOI arXiv
Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira; Matei, Basarab Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques. (English) Zbl 1168.68592 Appl. Comput. Harmon. Anal. 24, No. 2, 225-250 (2008). MSC: 68U10 41A30 68T10 PDFBibTeX XMLCite \textit{F. Arandiga} et al., Appl. Comput. Harmon. Anal. 24, No. 2, 225--250 (2008; Zbl 1168.68592) Full Text: DOI
Rokhlin, Vladimir; Xiao, Hong Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit. (English) Zbl 1110.41010 Appl. Comput. Harmon. Anal. 22, No. 1, 105-123 (2007). Reviewer: José L. Lopez (Pamplona) MSC: 41A30 41A10 33E10 PDFBibTeX XMLCite \textit{V. Rokhlin} and \textit{H. Xiao}, Appl. Comput. Harmon. Anal. 22, No. 1, 105--123 (2007; Zbl 1110.41010) Full Text: DOI
Andrle, Miroslav; Rebollo-Neira, Laura Cardinal B-spline dictionaries on a compact interval. (English) Zbl 1078.41008 Appl. Comput. Harmon. Anal. 18, No. 3, 336-346 (2005). MSC: 41A15 65D07 41A30 PDFBibTeX XMLCite \textit{M. Andrle} and \textit{L. Rebollo-Neira}, Appl. Comput. Harmon. Anal. 18, No. 3, 336--346 (2005; Zbl 1078.41008) Full Text: DOI arXiv
Dekel, S.; Leviatan, D. Wavelet decompositions of nonrefinable shift invariant spaces. (English) Zbl 1025.42024 Appl. Comput. Harmon. Anal. 12, No. 2, 230-258 (2002). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 42A38 41A15 41A30 41A50 PDFBibTeX XMLCite \textit{S. Dekel} and \textit{D. Leviatan}, Appl. Comput. Harmon. Anal. 12, No. 2, 230--258 (2002; Zbl 1025.42024) Full Text: DOI
Hochmuth, Reinhard Wavelet characterizations for anisotropic Besov spaces. (English) Zbl 1003.42024 Appl. Comput. Harmon. Anal. 12, No. 2, 179-208 (2002). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 46E35 41A30 PDFBibTeX XMLCite \textit{R. Hochmuth}, Appl. Comput. Harmon. Anal. 12, No. 2, 179--208 (2002; Zbl 1003.42024) Full Text: DOI Link
Shen, L.; Tan, H. H.; Tham, J. Y. Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets. (English) Zbl 0973.42030 Appl. Comput. Harmon. Anal. 8, No. 3, 258-279 (2000). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 65T60 94A08 68U10 41A30 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 8, No. 3, 258--279 (2000; Zbl 0973.42030) Full Text: DOI
Shen, Jianhong; Strang, Gilbert Asymptotics of Daubechies filters, scaling functions, and wavelets. (English) Zbl 0929.42022 Appl. Comput. Harmon. Anal. 5, No. 3, 312-331 (1998). Reviewer: N.M.Temme (Amsterdam) MSC: 42C40 41A60 41A30 PDFBibTeX XMLCite \textit{J. Shen} and \textit{G. Strang}, Appl. Comput. Harmon. Anal. 5, No. 3, 312--331 (1998; Zbl 0929.42022) Full Text: DOI Link