Occorsio, Donatella; Ramella, Giuliana; Themistoclakis, Woula Filtered polynomial interpolation for scaling 3D images. (English) Zbl 07799519 ETNA, Electron. Trans. Numer. Anal. 59, 295-318 (2023). MSC: 94A08 68U10 41A05 62H35 PDFBibTeX XMLCite \textit{D. Occorsio} et al., ETNA, Electron. Trans. Numer. Anal. 59, 295--318 (2023; Zbl 07799519) Full Text: DOI Link
Markett, Clemens Kramer-type sampling theorems associated with higher-order differential equations. (English) Zbl 1521.94017 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 11, 35 p. (2023). MSC: 94A20 62D05 33C45 34B30 41A05 PDFBibTeX XMLCite \textit{C. Markett}, Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 11, 35 p. (2023; Zbl 1521.94017) Full Text: DOI
Wang, Guoshun; Yu, Dansheng; Guan, Lingmin Neural network interpolation operators of multivariate functions. (English) Zbl 07733947 J. Comput. Appl. Math. 431, Article ID 115266, 22 p. (2023). MSC: 41A25 41A05 41A27 41A28 62D05 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Comput. Appl. Math. 431, Article ID 115266, 22 p. (2023; Zbl 07733947) Full Text: DOI
Litvinenko, Alexander; Marzouk, Youssef; Matthies, Hermann G.; Scavino, Marco; Spantini, Alessio Computing \(f\)-divergences and distances of high-dimensional probability density functions. (English) Zbl 07729586 Numer. Linear Algebra Appl. 30, No. 3, e2467, 31 p. (2023). MSC: 41A05 41A45 41A63 60-08 60E07 60E10 62-08 62E17 62H10 65C20 65F55 65F60 94A17 PDFBibTeX XMLCite \textit{A. Litvinenko} et al., Numer. Linear Algebra Appl. 30, No. 3, e2467, 31 p. (2023; Zbl 07729586) Full Text: DOI
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M. Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. (English) Zbl 1472.62012 Math. Comput. 90, No. 332, 2527-2578 (2021). MSC: 62C10 62F10 60G15 41A05 35Q62 PDFBibTeX XMLCite \textit{Y. Chen} et al., Math. Comput. 90, No. 332, 2527--2578 (2021; Zbl 1472.62012) Full Text: DOI arXiv Link
Litvinenko, Alexander; Marzouk, Youssef; Matthies, Hermann G.; Scavino, Marco; Spantini, Alessio Computing f-Divergences and Distances of High-Dimensional Probability Density Functions – Low-Rank Tensor Approximations. arXiv:2111.07164 Preprint, arXiv:2111.07164 [math.NA] (2021). MSC: 41A05 41A45 41A63 60-08 60E07 60E10 62-08 62E17 62H10 65C20 65F55 65F60 94A17 BibTeX Cite \textit{A. Litvinenko} et al., ``Computing f-Divergences and Distances of High-Dimensional Probability Density Functions -- Low-Rank Tensor Approximations'', Preprint, arXiv:2111.07164 [math.NA] (2021) Full Text: arXiv OA License
Fefferman, Charles; Ivanov, Sergei; Kurylev, Yaroslav; Lassas, Matti; Narayanan, Hariharan Reconstruction and interpolation of manifolds. I: The geometric Whitney problem. (English) Zbl 1470.53045 Found. Comput. Math. 20, No. 5, 1035-1133 (2020). Reviewer: Chandan Kumar Mondal (Durgapur) MSC: 53C23 53C21 62G08 35R30 41A05 PDFBibTeX XMLCite \textit{C. Fefferman} et al., Found. Comput. Math. 20, No. 5, 1035--1133 (2020; Zbl 1470.53045) Full Text: DOI arXiv
Ye, Qi Kernel-based probability measures for generalized interpolations: a deterministic or stochastic problem? (English) Zbl 1433.62056 J. Math. Anal. Appl. 477, No. 1, 420-436 (2019). Reviewer: Thorsten Dickhaus (Berlin) MSC: 62E17 65D05 46E22 41A05 PDFBibTeX XMLCite \textit{Q. Ye}, J. Math. Anal. Appl. 477, No. 1, 420--436 (2019; Zbl 1433.62056) Full Text: DOI
Wu, Yihong; Yang, Pengkun Sample complexity of the distinct elements problem. (English) Zbl 1416.62187 Math. Stat. Learn. 1, No. 1, 37-72 (2018). MSC: 62G05 41A05 41A10 62C20 62D05 15A18 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{P. Yang}, Math. Stat. Learn. 1, No. 1, 37--72 (2018; Zbl 1416.62187) Full Text: DOI arXiv
Selva, Jesus Efficient wideband DOA estimation through function evaluation techniques. (English) Zbl 1416.65052 IEEE Trans. Signal Process. 66, No. 12, 3112-3123 (2018). MSC: 65D05 41A05 62H12 94A12 PDFBibTeX XMLCite \textit{J. Selva}, IEEE Trans. Signal Process. 66, No. 12, 3112--3123 (2018; Zbl 1416.65052) Full Text: DOI
Marins, Matheus A.; Ribeiro, Felipe M. L.; Netto, Sergio L.; da Silva, Eduardo A. B. Improved similarity-based modeling for the classification of rotating-machine failures. (English) Zbl 1395.90135 J. Franklin Inst. 355, No. 4, 1913-1930 (2018). MSC: 90B25 68T05 62L12 41A05 94C12 62H30 PDFBibTeX XMLCite \textit{M. A. Marins} et al., J. Franklin Inst. 355, No. 4, 1913--1930 (2018; Zbl 1395.90135) Full Text: DOI
Gao, Wenwu; Zhang, Ran Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective. (English) Zbl 1421.65007 Numer. Algorithms 77, No. 1, 243-259 (2018). Reviewer: Aurelian Bejancu (Safat) MSC: 65D25 41A05 41A15 41A25 62G08 62G20 65T40 PDFBibTeX XMLCite \textit{W. Gao} and \textit{R. Zhang}, Numer. Algorithms 77, No. 1, 243--259 (2018; Zbl 1421.65007) Full Text: DOI
Lenarduzzi, Licia; Schaback, Robert Kernel-based adaptive approximation of functions with discontinuities. (English) Zbl 1411.65024 Appl. Math. Comput. 307, 113-123 (2017). MSC: 65D05 41A05 62H30 68T05 PDFBibTeX XMLCite \textit{L. Lenarduzzi} and \textit{R. Schaback}, Appl. Math. Comput. 307, 113--123 (2017; Zbl 1411.65024) Full Text: DOI arXiv
Iske, Armin; Le Borne, Sabine; Wende, Michael Hierarchical matrix approximation for kernel-based scattered data interpolation. (English) Zbl 1375.65012 SIAM J. Sci. Comput. 39, No. 5, A2287-A2316 (2017). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65D05 41A05 65F08 62H30 PDFBibTeX XMLCite \textit{A. Iske} et al., SIAM J. Sci. Comput. 39, No. 5, A2287--A2316 (2017; Zbl 1375.65012) Full Text: DOI
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. (English) Zbl 1417.65018 Comput. Stat. 32, No. 1, 253-279 (2017). MSC: 65C05 60J22 62F15 41A05 65C40 PDFBibTeX XMLCite \textit{C. Zhang} et al., Comput. Stat. 32, No. 1, 253--279 (2017; Zbl 1417.65018) Full Text: DOI arXiv
Hirn, Matthew; Mallat, Stéphane; Poilvert, Nicolas Wavelet scattering regression of quantum chemical energies. (English) Zbl 1365.42030 Multiscale Model. Simul. 15, No. 2, 827-863 (2017). MSC: 42C40 42C15 62J02 62P35 70F10 81Q05 41A05 41A63 PDFBibTeX XMLCite \textit{M. Hirn} et al., Multiscale Model. Simul. 15, No. 2, 827--863 (2017; Zbl 1365.42030) Full Text: DOI arXiv
Cotronei, Mariantonia; Di Salvo, Rosa; Holschneider, Matthias; Puccio, Luigia Interpolation in reproducing kernel Hilbert spaces based on random subdivision schemes. (English) Zbl 1352.65034 J. Comput. Appl. Math. 311, 342-353 (2017). MSC: 65D05 62F15 41A05 65D10 60G15 PDFBibTeX XMLCite \textit{M. Cotronei} et al., J. Comput. Appl. Math. 311, 342--353 (2017; Zbl 1352.65034) Full Text: DOI
Jiang, Ping; Liu, Feng; Wang, Jianzhou; Song, Yiliao Cuckoo search-designated fractal interpolation functions with winner combination for estimating missing values in time series. (English) Zbl 1443.62268 Appl. Math. Modelling 40, No. 23-24, 9692-9718 (2016). MSC: 62M10 41A05 62D10 PDFBibTeX XMLCite \textit{P. Jiang} et al., Appl. Math. Modelling 40, No. 23--24, 9692--9718 (2016; Zbl 1443.62268) Full Text: DOI
Sircar, Pradip Mathematical aspects of signal processing. (English) Zbl 1371.94005 Cambridge: Cambridge University Press (ISBN 978-1-107-17517-4/hbk; 978-1-139-00389-6/ebook). ix, 236 p. (2016). Reviewer: Hans-Georg Stark (Aschaffenburg) MSC: 94-02 94A12 62M20 41A05 41A10 15A09 15A22 PDFBibTeX XMLCite \textit{P. Sircar}, Mathematical aspects of signal processing. Cambridge: Cambridge University Press (2016; Zbl 1371.94005) Full Text: DOI
Fassino, Claudia; Riccomagno, Eva The precision space of interpolatory cubature formulae. (English) Zbl 1345.65013 J. Algebr. Stat. 6, No. 1, 46-61 (2015). MSC: 65D32 13P25 13P10 41A05 62K99 PDFBibTeX XMLCite \textit{C. Fassino} and \textit{E. Riccomagno}, J. Algebr. Stat. 6, No. 1, 46--61 (2015; Zbl 1345.65013) Full Text: DOI
Baker, Rose D.; Jackson, Dan Statistical application of barycentric rational interpolants: an alternative to splines. (English) Zbl 1306.65025 Comput. Stat. 29, No. 5, 1065-1081 (2014). MSC: 62-08 65D05 41A05 41A20 PDFBibTeX XMLCite \textit{R. D. Baker} and \textit{D. Jackson}, Comput. Stat. 29, No. 5, 1065--1081 (2014; Zbl 1306.65025) Full Text: DOI
Ram, Mangey (ed.); Frenkel, Ilia B. (ed.); Gupta, Arpan (ed.) Preface: Applied mathematical techniques in engineering applications and related topics. I. (English) Zbl 1298.00342 Math. Eng. Sci. Aerosp. MESA 5, No. 2, 135-136 (2014). MSC: 00B25 34A08 34K37 35G31 37N25 41A05 60G25 62N05 65D05 65M70 65Z05 68M15 68Q32 68T05 68T27 68U10 74F05 76D05 76E25 76F10 76Sxx 76Wxx 82C32 90B25 92B05 92B20 92C37 94A08 PDFBibTeX XMLCite \textit{M. Ram} (ed.) et al., Math. Eng. Sci. Aerosp. MESA 5, No. 2, 135--136 (2014; Zbl 1298.00342) Full Text: Link
Berschneider, Georg; Castell, Wolfgang zu; Schrödl, Stefan J. Function spaces for conditionally positive definite operator-valued kernels. (English) Zbl 1323.46020 Math. Comput. 81, No. 279, 1551-1569 (2012). MSC: 46C20 46E22 41A63 47A56 41A05 62M30 62H30 PDFBibTeX XMLCite \textit{G. Berschneider} et al., Math. Comput. 81, No. 279, 1551--1569 (2012; Zbl 1323.46020) Full Text: DOI
Maymon, Shay; Oppenheim, Alan V. Sinc interpolation of nonuniform samples. (English) Zbl 1392.94724 IEEE Trans. Signal Process. 59, No. 10, 4745-4758 (2011). MSC: 94A20 41A05 62M15 94A14 PDFBibTeX XMLCite \textit{S. Maymon} and \textit{A. V. Oppenheim}, IEEE Trans. Signal Process. 59, No. 10, 4745--4758 (2011; Zbl 1392.94724) Full Text: DOI
Tunga, M. Alper An approximation method to model multivariate interpolation problems: indexing HDMR. (English) Zbl 1219.65018 Math. Comput. Modelling 53, No. 9-10, 1970-1982 (2011). MSC: 65D05 41A05 41A63 62H99 PDFBibTeX XMLCite \textit{M. A. Tunga}, Math. Comput. Modelling 53, No. 9--10, 1970--1982 (2011; Zbl 1219.65018) Full Text: DOI
Masjed-Jamei, Mohammad Error control process in function interpolation using statistical spline model. (English) Zbl 1165.65313 Math. Comput. Modelling 49, No. 7-8, 1483-1493 (2009). MSC: 65D07 41A05 41A15 62J02 PDFBibTeX XMLCite \textit{M. Masjed-Jamei}, Math. Comput. Modelling 49, No. 7--8, 1483--1493 (2009; Zbl 1165.65313) Full Text: DOI
Lin, En-Bing Interpolation and forecasting of time series. (English) Zbl 1210.41001 Int. J. Appl. Math. Sci. 3, No. 2, 135-140 (2006). MSC: 41A05 62M10 42C40 PDFBibTeX XMLCite \textit{E.-B. Lin}, Int. J. Appl. Math. Sci. 3, No. 2, 135--140 (2006; Zbl 1210.41001)
Smale, Steve; Zhou, Ding-Xuan Shannon sampling. II: Connections to learning theory. (English) Zbl 1107.94008 Appl. Comput. Harmon. Anal. 19, No. 3, 285-302 (2005). Reviewer: Qiao Wang (Nanjing) MSC: 94A20 42B10 46E22 68Q32 68T05 68U10 41A05 62J05 PDFBibTeX XMLCite \textit{S. Smale} and \textit{D.-X. Zhou}, Appl. Comput. Harmon. Anal. 19, No. 3, 285--302 (2005; Zbl 1107.94008) Full Text: DOI
Smale, Steve; Zhou, Ding-Xuan Shannon sampling and function reconstruction from point values. (English) Zbl 1107.94007 Bull. Am. Math. Soc., New Ser. 41, No. 3, 279-305 (2004). Reviewer: Qiao Wang (Nanjing) MSC: 94A20 42B10 68T05 68U10 41A05 62J05 PDFBibTeX XMLCite \textit{S. Smale} and \textit{D.-X. Zhou}, Bull. Am. Math. Soc., New Ser. 41, No. 3, 279--305 (2004; Zbl 1107.94007) Full Text: DOI
Demichelis, Vittoria A method for uniform approximation under interpolation constraints. (English) Zbl 0797.65005 Int. J. Comput. Math. 49, No. 1-2, 85-91 (1993). Reviewer: M.Gaşpar (Iaşi) MSC: 65D15 62D05 65D32 41A29 41A05 41A55 PDFBibTeX XMLCite \textit{V. Demichelis}, Int. J. Comput. Math. 49, No. 1--2, 85--91 (1993; Zbl 0797.65005) Full Text: DOI
Fedotov, A. M. A numerical algorithm for extrapolating functions of Wiener class. (English. Russian original) Zbl 0752.41003 Sov. Math., Dokl. 42, No. 2, 467-470 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 2, 306-309 (1990). Reviewer: M.Reimer (Dortmund) MSC: 41A05 41A35 41A63 60G25 62M20 PDFBibTeX XMLCite \textit{A. M. Fedotov}, Sov. Math., Dokl. 42, No. 2, 467--470 (1990; Zbl 0752.41003); translation from Dokl. Akad. Nauk SSSR 314, No. 2, 306--309 (1990)
Kohn, Robert; Ansley, Craig F. Equivalence between Bayesian smoothness priors and optimal smoothing for function estimation. (English) Zbl 0714.62085 Bayesian analysis of time series and dynamic models, Stat., Textb. Monogr. 94, 393-430 (1988). MSC: 62M10 62F15 41A05 41A15 PDFBibTeX XML
Besse, Philippe; Ramsay, J. O. Principal components analysis of sampled functions. (English) Zbl 0623.62048 Psychometrika 51, 285-311 (1986). MSC: 62H25 41A05 41A15 PDFBibTeX XMLCite \textit{P. Besse} and \textit{J. O. Ramsay}, Psychometrika 51, 285--311 (1986; Zbl 0623.62048) Full Text: DOI
Herzberg, Agnes M.; Aleong, John Further conditions on the equivalence of ordinary least squares and weighted least squares estimators with examples. (English) Zbl 0584.62108 Contributions to probability and statistics, Hon. G. Blom, 127-142 (1985). Reviewer: D.Huang MSC: 62J05 41A05 62J10 PDFBibTeX XML
Klamer, Dale M.; Masry, Elias Polynomial interpolation of randomly sampled bandlimited functions and processes. (English) Zbl 0495.60051 SIAM J. Appl. Math. 42, 1004-1019 (1982). MSC: 60G25 41A05 60G10 60G55 62M99 PDFBibTeX XMLCite \textit{D. M. Klamer} and \textit{E. Masry}, SIAM J. Appl. Math. 42, 1004--1019 (1982; Zbl 0495.60051) Full Text: DOI
Lee, G. S. Piecewise linear approximation of multivariate functions. (English) Zbl 0492.65005 Bell Syst. Tech. J. 61, 1463-1486 (1982). MSC: 65D07 65D05 62J02 41A05 41A63 PDFBibTeX XMLCite \textit{G. S. Lee}, Bell Syst. Tech. J. 61, 1463--1486 (1982; Zbl 0492.65005) Full Text: DOI
Halasz, G. Statistical interpolation. (English) Zbl 0419.41005 Fourier analysis and approximation theory, Vol. I, Budapest 1976, Colloq. Math. Soc. Janos Bolyai 19, 403-410 (1978). MSC: 41A05 62J02 PDFBibTeX XML
Tsuda, T. Pairwise sampling for the nonlinear interpolation of functions of very many variables. (English) Zbl 0355.41004 Calcolo 11(1974), 453-464 (1975). MSC: 41A05 62D05 65D05 41A63 PDFBibTeX XMLCite \textit{T. Tsuda}, Calcolo 11, 453--464 (1975; Zbl 0355.41004) Full Text: DOI
Assmus, Eberhard; Kraus, Karl Die Interpolation nach kleinsten Quadraten. Prädiktionswerte simulierter Beispiele und ihre Genauigkeiten. (German) Zbl 0305.65006 Deutsche Geodät. Kommission Bayer. Akad. Wiss., Reihe A 76, 73 S. (1974). MSC: 65D10 65D05 62M20 41A05 PDFBibTeX XML
Wang, H. S. C. On Cauchy’s interpolation formula and sampling theorems. (English) Zbl 0318.62076 J. Franklin Inst. 289, 233-236 (1970). MSC: 62M15 41A05 65D05 PDFBibTeX XMLCite \textit{H. S. C. Wang}, J. Franklin Inst. 289, 233--236 (1970; Zbl 0318.62076) Full Text: DOI
Wittstein, Th. A postscript to the method of least squares. (Ein Zusatz zur Methode der kleinsten Quadrate.) (German) JFM 14.0158.01 Schlömilch Z. XXVII, 315-317 (1882). Reviewer: Lazarus, (Hamburg) MSC: 41A05 62J05 PDFBibTeX XMLCite \textit{Th. Wittstein}, Schlömilch Z. 27, 315--317 (1882; JFM 14.0158.01)
Wittstein, Th. A postscript to the method of least squares. (Ein Zusatz zur Methode der kleinsten Quadrate.) (German) JFM 14.0157.03 Astr. Nachr. 102, No. 2446, 339-342 (1882). Reviewer: Bruns, Prof. (Leipzig) MSC: 41A05 62J05 PDFBibTeX XMLCite \textit{Th. Wittstein}, Astron. Nachr. 102, 339--342 (1882; JFM 14.0157.03) Full Text: DOI
Thiele, T. N. On the application of the method of least squares in some cases when a complication of random sources of error of a certain kind give the errors a systematic character. (Om Anvendelse af mindste Kvadraters Methode i nogle Tilfälde, hvor en Komplikation af visse Slags uensartede tilfäldige Fejlkilder giver Fejlene en systematisk Karakter.) (Danish) JFM 12.0160.01 Kjob. Vid. Selsk. Skrifter (5) XII. 383-408 (1880). MSC: 41A05 62F10 62J05 PDFBibTeX XML
Lazarus, W. The determination and smoothing of probabilities derived from observations. (Die Bestimmung und Ausgleichung der aus Beobachtungen abgeleiteten Wahrscheinlichkeiten.) (German) JFM 10.0164.01 Hamb. math. Ges. 1878, 7-27 (1878). Reviewer: Bruns, Prof. (Berlin) MSC: 62F10 41A05 PDFBibTeX XMLCite \textit{W. Lazarus}, Hamb. math. Ges. 1878, 7--27 (1878; JFM 10.0164.01)