Goebbels, Steffen On sharpness of error bounds for multivariate neural network approximation. (English) Zbl 07771830 Ric. Mat. 71, No. 2, 633-653 (2022). MSC: 41A25 41A50 62M45 PDFBibTeX XMLCite \textit{S. Goebbels}, Ric. Mat. 71, No. 2, 633--653 (2022; Zbl 07771830) Full Text: DOI arXiv
Goebbels, Steffen On sharpness of an error bound for deep ReLU network approximation. (English) Zbl 1505.41007 Sampl. Theory Signal Process. Data Anal. 20, No. 1, Paper No. 3, 15 p. (2022). MSC: 41A25 41A50 62M45 68T07 PDFBibTeX XMLCite \textit{S. Goebbels}, Sampl. Theory Signal Process. Data Anal. 20, No. 1, Paper No. 3, 15 p. (2022; Zbl 1505.41007) Full Text: DOI
Bencheikh, O.; Jourdain, B. Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures. (English) Zbl 1481.60007 J. Approx. Theory 274, Article ID 105684, 27 p. (2022). MSC: 60B10 60-08 28A33 62E17 41A25 41A50 41A29 PDFBibTeX XMLCite \textit{O. Bencheikh} and \textit{B. Jourdain}, J. Approx. Theory 274, Article ID 105684, 27 p. (2022; Zbl 1481.60007) Full Text: DOI arXiv
Goebbels, Steffen On sharpness of error bounds for univariate approximation by single hidden layer feedforward neural networks. (English) Zbl 1443.62314 Result. Math. 75, No. 3, Paper No. 109, 35 p. (2020). MSC: 62M45 62J12 41A25 41A50 PDFBibTeX XMLCite \textit{S. Goebbels}, Result. Math. 75, No. 3, Paper No. 109, 35 p. (2020; Zbl 1443.62314) Full Text: DOI arXiv
Helali, Salima; Slaoui, Yousri Estimation of a distribution function using Lagrange polynomials with Tchebychev-Gauss points. (English) Zbl 07214272 Stat. Interface 13, No. 3, 399-410 (2020). MSC: 62E20 97N50 41A50 PDFBibTeX XMLCite \textit{S. Helali} and \textit{Y. Slaoui}, Stat. Interface 13, No. 3, 399--410 (2020; Zbl 07214272) Full Text: DOI
Liu, Zhe; Yang, Ying Least absolute deviations estimation for uncertain regression with imprecise observations. (English) Zbl 1443.62195 Fuzzy Optim. Decis. Mak. 19, No. 1, 33-52 (2020). MSC: 62J02 65K05 90C05 65D10 41A50 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Y. Yang}, Fuzzy Optim. Decis. Mak. 19, No. 1, 33--52 (2020; Zbl 1443.62195) Full Text: DOI arXiv
Krivulin, Nikolai Using parameter elimination to solve discrete linear Chebyshev approximation problems. arXiv:2011.05460 Preprint, arXiv:2011.05460 [math.OC] (2020). MSC: 41A50 90C47 62J05 BibTeX Cite \textit{N. Krivulin}, ``Using parameter elimination to solve discrete linear Chebyshev approximation problems'', Preprint, arXiv:2011.05460 [math.OC] (2020) Full Text: DOI arXiv OA License
Xu, Chuang; Berger, Arno Best finite constrained approximations of one-dimensional probabilities. (English) Zbl 1426.41037 J. Approx. Theory 244, 1-36 (2019). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A50 41A29 28A33 60B10 62E17 PDFBibTeX XMLCite \textit{C. Xu} and \textit{A. Berger}, J. Approx. Theory 244, 1--36 (2019; Zbl 1426.41037) Full Text: DOI arXiv Link
Szabłowski, Paweł J. On probabilistic aspects of Chebyshev polynomials. (English) Zbl 1412.62063 Stat. Probab. Lett. 145, 205-215 (2019). MSC: 62H10 41A50 60E05 42A16 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, Stat. Probab. Lett. 145, 205--215 (2019; Zbl 1412.62063) Full Text: DOI arXiv
Filip, Silviu-Ioan A robust and scalable implementation of the Parks-McClellan algorithm for designing FIR filters. (English) Zbl 1371.65013 ACM Trans. Math. Softw. 43, No. 1, Article No. 7, 24 p. (2016). MSC: 65C60 65D05 41A10 41A50 94A12 62M20 PDFBibTeX XMLCite \textit{S.-I. Filip}, ACM Trans. Math. Softw. 43, No. 1, Article No. 7, 24 p. (2016; Zbl 1371.65013) Full Text: DOI HAL
Manousopoulos, Polychronis; Michalopoulos, Michalis Term structure of interest rates estimation using rational Chebyshev functions. (English) Zbl 1398.91628 Decis. Econ. Finance 38, No. 2, 119-146 (2015). MSC: 91G30 41A50 62P05 PDFBibTeX XMLCite \textit{P. Manousopoulos} and \textit{M. Michalopoulos}, Decis. Econ. Finance 38, No. 2, 119--146 (2015; Zbl 1398.91628) Full Text: DOI
Migliorati, Giovanni; Nobile, Fabio; Tempone, Raúl Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. (English) Zbl 1327.41004 J. Multivariate Anal. 142, 167-182 (2015). MSC: 41A10 41A25 41A50 41A63 62G08 65M70 PDFBibTeX XMLCite \textit{G. Migliorati} et al., J. Multivariate Anal. 142, 167--182 (2015; Zbl 1327.41004) Full Text: DOI
Dette, Holger; Grigoriev, Yuri \(E\)-optimal designs for second-order response surface models. (English) Zbl 1310.62097 Ann. Stat. 42, No. 4, 1635-1656 (2014). MSC: 62K20 62K05 41A50 PDFBibTeX XMLCite \textit{H. Dette} and \textit{Y. Grigoriev}, Ann. Stat. 42, No. 4, 1635--1656 (2014; Zbl 1310.62097) Full Text: DOI arXiv Euclid
Dette, Holger; Melas, Viatcheslav B. A note on the de la Garza phenomenon for locally optimal designs. (English) Zbl 1216.62113 Ann. Stat. 39, No. 2, 1266-1281 (2011). MSC: 62K05 62J02 41A50 62C07 PDFBibTeX XMLCite \textit{H. Dette} and \textit{V. B. Melas}, Ann. Stat. 39, No. 2, 1266--1281 (2011; Zbl 1216.62113) Full Text: DOI arXiv
Nievergelt, Yves Median spheres: Theory, algorithms, applications. (English) Zbl 1202.65018 Numer. Math. 114, No. 4, 573-606 (2010). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 01A10 41A50 51-04 51M16 52C30 62F35 62J02 86A30 90B85 91F10 PDFBibTeX XMLCite \textit{Y. Nievergelt}, Numer. Math. 114, No. 4, 573--606 (2010; Zbl 1202.65018) Full Text: DOI
Dette, Holger; Titoff, Stefanie Optimal discrimination designs. (English) Zbl 1168.62066 Ann. Stat. 37, No. 4, 2056-2082 (2009). MSC: 62K05 41A50 62J02 65C60 PDFBibTeX XMLCite \textit{H. Dette} and \textit{S. Titoff}, Ann. Stat. 37, No. 4, 2056--2082 (2009; Zbl 1168.62066) Full Text: DOI arXiv
López-Blázquez, Fernando; Rychlik, Tomasz Sharp upper bounds for the expected values of non-extreme order statistics from discrete distributions. (English) Zbl 1149.60012 J. Stat. Plann. Inference 138, No. 12, 3635-3646 (2008). MSC: 60E15 62G32 41A50 62D05 PDFBibTeX XMLCite \textit{F. López-Blázquez} and \textit{T. Rychlik}, J. Stat. Plann. Inference 138, No. 12, 3635--3646 (2008; Zbl 1149.60012) Full Text: DOI
Broniatowski, M.; Celant, G. Optimality and bias of some interpolation and extrapolation designs. (English) Zbl 1104.62084 J. Stat. Plann. Inference 137, No. 3, 858-868 (2007). MSC: 62K05 62N05 62N02 41A50 PDFBibTeX XMLCite \textit{M. Broniatowski} and \textit{G. Celant}, J. Stat. Plann. Inference 137, No. 3, 858--868 (2007; Zbl 1104.62084) Full Text: DOI
Dette, Holger; Melas, Viatcheslav B.; Pepelyshev, Andrey Local \(c\)- and \(E\)-optimal designs for exponential regression models. (English) Zbl 1095.62086 Ann. Inst. Stat. Math. 58, No. 2, 407-426 (2006). MSC: 62K05 65C60 62J02 41A50 60F05 PDFBibTeX XMLCite \textit{H. Dette} et al., Ann. Inst. Stat. Math. 58, No. 2, 407--426 (2006; Zbl 1095.62086) Full Text: DOI
Dette, Holger; Melas, Viatcheslav B.; Pepelyshev, Andrey Optimal designs for a class of nonlinear regression models. (English) Zbl 1056.62084 Ann. Stat. 32, No. 5, 2142-2167 (2004). MSC: 62K05 62J02 41A50 PDFBibTeX XMLCite \textit{H. Dette} et al., Ann. Stat. 32, No. 5, 2142--2167 (2004; Zbl 1056.62084) Full Text: DOI arXiv
Pettere, Gaida Survival analysis of Latvian population using Tchebyshev’s polynomials. (English) Zbl 1030.62083 Acta Appl. Math. 79, No. 1-2, 69-81 (2003). MSC: 62P05 41A50 62N99 PDFBibTeX XMLCite \textit{G. Pettere}, Acta Appl. Math. 79, No. 1--2, 69--81 (2003; Zbl 1030.62083) Full Text: DOI
Tagliani, Aldo Maximum entropy in the discrete generalized moment problem. (English) Zbl 1012.60018 Statistica 60, No. 1, 59-72 (2000). Reviewer: Ludwig Paditz (Dresden) MSC: 60E05 94A17 62B10 41A50 44A60 PDFBibTeX XMLCite \textit{A. Tagliani}, Statistica 60, No. 1, 59--72 (2000; Zbl 1012.60018)
Dette, Holger; Lo Huang, Mong-Na Convex optimal designs for compound polynomial extrapolation. (English) Zbl 0960.62072 Ann. Inst. Stat. Math. 52, No. 3, 557-573 (2000). MSC: 62K05 41A50 PDFBibTeX XMLCite \textit{H. Dette} and \textit{M.-N. Lo Huang}, Ann. Inst. Stat. Math. 52, No. 3, 557--573 (2000; Zbl 0960.62072) Full Text: DOI
Bischoff, Wolfgang Best \(\phi\)-approximants for bounded weak loss functions. (English) Zbl 0953.62007 Stat. Decis. 17, No. 1, 49-61 (1999). Reviewer: Krzysztof Piasecki (Poznań) MSC: 62C10 41A50 62C05 62F15 PDFBibTeX XMLCite \textit{W. Bischoff}, Stat. Decis. 17, No. 1, 49--61 (1999; Zbl 0953.62007)
Heiligers, Berthold E-optimal designs for polynomial spline regression. (English) Zbl 0938.62077 J. Stat. Plann. Inference 75, No. 1, 159-172 (1998). MSC: 62K05 41A15 41A50 PDFBibTeX XMLCite \textit{B. Heiligers}, J. Stat. Plann. Inference 75, No. 1, 159--172 (1998; Zbl 0938.62077) Full Text: DOI
Landers, D.; Rogge, L. Best \(\phi\)-approximants for bounded loss functions. (English) Zbl 0916.62006 Stat. Decis. 15, No. 3, 255-260 (1997). MSC: 62B99 41A50 62M20 PDFBibTeX XMLCite \textit{D. Landers} and \textit{L. Rogge}, Stat. Decis. 15, No. 3, 255--260 (1997; Zbl 0916.62006)
Chang, Fu-Chuen; Heiligers, Berthold \(E\)-optimal designs for polynomial regression without intercept. (English) Zbl 0866.62045 J. Stat. Plann. Inference 55, No. 3, 371-387 (1996). MSC: 62K05 41A50 PDFBibTeX XMLCite \textit{F.-C. Chang} and \textit{B. Heiligers}, J. Stat. Plann. Inference 55, No. 3, 371--387 (1996; Zbl 0866.62045) Full Text: DOI
Ritter, Klaus; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions. (English) Zbl 0872.62063 Ann. Appl. Probab. 5, No. 2, 518-540 (1995). MSC: 62H12 41A55 41A50 41A63 62G05 62M40 PDFBibTeX XMLCite \textit{K. Ritter} et al., Ann. Appl. Probab. 5, No. 2, 518--540 (1995; Zbl 0872.62063) Full Text: DOI
Dietrich, C. R.; Newsam, G. N. Generating correlated Gaussian random fields by orthogonal polynomial approximations to the square root of the covariance matrix. (English) Zbl 0833.62092 J. Stat. Comput. Simulation 50, No. 1-2, 91-109 (1994). MSC: 62M40 65C99 86A32 41A50 PDFBibTeX XMLCite \textit{C. R. Dietrich} and \textit{G. N. Newsam}, J. Stat. Comput. Simulation 50, No. 1--2, 91--109 (1994; Zbl 0833.62092) Full Text: DOI
Heiligers, Berthold \(E\)-optimal designs in weighted polynomial regression. (English) Zbl 0808.62065 Ann. Stat. 22, No. 2, 917-929 (1994). MSC: 62K05 62J99 41A50 PDFBibTeX XMLCite \textit{B. Heiligers}, Ann. Stat. 22, No. 2, 917--929 (1994; Zbl 0808.62065) Full Text: DOI
Hürlimann, Werner Solvability and reassurance. (Solvabilité et réassurance.) (French) Zbl 0797.62095 Mitt., Schweiz. Ver. Versicherungsmath. 1993, No. 2, 229-249 (1993). MSC: 62P05 41A50 60E15 PDFBibTeX XMLCite \textit{W. Hürlimann}, Mitt., Schweiz. Ver. Versicherungsmath. 1993, No. 2, 229--249 (1993; Zbl 0797.62095)
Dette, Holger A note on \(E\)-optimal designs for weighted polynomial regression. (English) Zbl 0787.62076 Ann. Stat. 21, No. 2, 767-771 (1993). Reviewer: W.Näther (Freiberg) MSC: 62K05 41A50 PDFBibTeX XMLCite \textit{H. Dette}, Ann. Stat. 21, No. 2, 767--771 (1993; Zbl 0787.62076) Full Text: DOI
Tang, Dei-In Minimax regression designs under uniform departure models. (English) Zbl 0773.62053 Ann. Stat. 21, No. 1, 434-446 (1993). MSC: 62K05 62J02 41A50 PDFBibTeX XMLCite \textit{D.-I. Tang}, Ann. Stat. 21, No. 1, 434--446 (1993; Zbl 0773.62053) Full Text: DOI
Pukelsheim, Friedrich; Studden, William J. \(E\)-optimal designs for polynomial regression. (English) Zbl 0787.62075 Ann. Stat. 21, No. 1, 402-415 (1993). Reviewer: W.Näther (Freiberg) MSC: 62K05 41A50 PDFBibTeX XMLCite \textit{F. Pukelsheim} and \textit{W. J. Studden}, Ann. Stat. 21, No. 1, 402--415 (1993; Zbl 0787.62075) Full Text: DOI
Studden, W. J. Note on some \(\phi _ p\)-optimal designs for polynomial regression. (English) Zbl 0675.62047 Ann. Stat. 17, No. 2, 618-623 (1989). MSC: 62K05 62J02 41A50 49K35 PDFBibTeX XMLCite \textit{W. J. Studden}, Ann. Stat. 17, No. 2, 618--623 (1989; Zbl 0675.62047) Full Text: DOI
Lenart, Cristian Classification with fuzzy relations. II. (English) Zbl 0900.62332 Stud. Univ. Babeș-Bolyai, Math. 34, No. 3, 63-72 (1989). MSC: 62H30 41A50 PDFBibTeX XMLCite \textit{C. Lenart}, Stud. Univ. Babeș-Bolyai, Math. 34, No. 3, 63--72 (1989; Zbl 0900.62332)
Lenart, Cristian Classification with fuzzy relations. (English) Zbl 0676.62051 Stud. Univ. Babeș-Bolyai, Math. 33, No. 3, 52-55 (1988). MSC: 62H30 41A50 PDFBibTeX XMLCite \textit{C. Lenart}, Stud. Univ. Babeș-Bolyai, Math. 33, No. 3, 52--55 (1988; Zbl 0676.62051)
Walk, Harro A stochastic Remes algorithm. (English) Zbl 0623.62078 J. Approximation Theory 49, 79-92 (1987). Reviewer: R.Wegmann MSC: 62L20 41A50 65D15 62J02 PDFBibTeX XMLCite \textit{H. Walk}, J. Approx. Theory 49, 79--92 (1987; Zbl 0623.62078) Full Text: DOI
Watson, G. A. Methods for best approximation and regression problems. (English) Zbl 0615.65010 The state of the art in numerical analysis, Proc. Joint IMA/SIAM Conf., Birmingham/Engl. 1986, Inst. Math. Appl. Conf. Ser., New Ser. 9, 139-164 (1987). MSC: 65D10 65C99 41A50 62J02 PDFBibTeX XML
Tscherning, C. C. Functional methods for gravity field approximation. (English) Zbl 0617.65052 Mathematical and numerical techniques in physical geodesy, Lect. 4th Int. Summer Sch., Admont/Austria 1986, Lect. Notes Earth Sci 7, 3-47 (1986). MSC: 65J10 65Z05 35Q99 46L60 62M20 41A50 41A65 65N30 86A30 PDFBibTeX XML
Sklar, Michael G.; Armstrong, Ronald D. An algorithm for discrete Chebychev curve fitting for the simple model using a dual linear programming approach. (English) Zbl 0547.65099 Commun. Stat., Simulation Comput. 13, 555-569 (1984). MSC: 65C99 65D10 41A50 62J05 PDFBibTeX XMLCite \textit{M. G. Sklar} and \textit{R. D. Armstrong}, Commun. Stat., Simulation Comput. 13, 555--569 (1984; Zbl 0547.65099) Full Text: DOI
Busse, H. G.; Zilling, R. Zur Parameterschätzung auf der Basis der Tschebyscheff-Approximation und der Methode der kleinsten Absolutbeträge. (German) Zbl 0526.62039 Wiss. Z., Tech. Hochsch. Leipz. 6, 327-332 (1982). MSC: 62G05 62G20 62F10 41A50 PDFBibTeX XMLCite \textit{H. G. Busse} and \textit{R. Zilling}, Wiss. Z., Tech. Hochsch. Leipz. 6, 327--332 (1982; Zbl 0526.62039)
Brannigan, Michael A multivariate adaptive data fitting algorithm. (English) Zbl 0483.65010 Numerical methods of approximation theory, Vol. 6, Workshop Oberwolfach 1981, ISNM, Int. Ser. Numer. Math. 59, 30-42 (1982). MSC: 65D10 62J07 41A50 PDFBibTeX XML
Darst, R. B.; Legg, D. A.; Townsend, D. W. Prediction in Orlicz spaces. (English) Zbl 0504.46023 Manuscr. Math. 35, 91-103 (1981). MSC: 46E30 41A50 62F99 PDFBibTeX XMLCite \textit{R. B. Darst} et al., Manuscr. Math. 35, 91--103 (1981; Zbl 0504.46023) Full Text: DOI EuDML
Denisov, V. I.; Fedorov, V. V.; Khabarov, V. I. Chebyshev approximation in problems of constructing asymptotic locally optimal designs for discriminating regression experiments. (Russian) Zbl 0489.62066 Vopr. Kibern., Mosk. 71, 3-10 (1981). MSC: 62K05 41A50 62C20 62J05 PDFBibTeX XMLCite \textit{V. I. Denisov} et al., Vopr. Kibern., Mosk. 71, 3--10 (1981; Zbl 0489.62066)
Landers, D.; Rogge, L. A characterization of best Phi-approximants. (English) Zbl 0473.46017 Trans. Am. Math. Soc. 267, 259-264 (1981). MSC: 46E30 41A50 60G25 62M20 PDFBibTeX XMLCite \textit{D. Landers} and \textit{L. Rogge}, Trans. Am. Math. Soc. 267, 259--264 (1981; Zbl 0473.46017) Full Text: DOI
Fedorov, V. Design of model testing experiments. (English) Zbl 0468.62071 Teoria statistica delle decisioni, Conv. Roma 1979, Symp. Math. 25, 171-180 (1980). MSC: 62K05 41A50 PDFBibTeX XML
Paramonov, Yu. V.; Afanasenko, N. E. The estimation and removal of low-frequency zero level oscillations of ECG in the course of automatic processing. (Russian) Zbl 0466.62103 Kibern. Vychisl. Tekh. 45, 32-39 (1979). MSC: 62P10 92C50 62J05 41A10 41A50 PDFBibTeX XMLCite \textit{Yu. V. Paramonov} and \textit{N. E. Afanasenko}, Kibern. Vychisl. Tekh. 45, 32--39 (1979; Zbl 0466.62103)
Brailovsky, V. Some procedures for function approximation based on the use of sample data and their application in heuristic methods for solving practical problems. (English) Zbl 0441.62076 Pattern Recognition 11, 77-83 (1979). MSC: 62L20 62F99 41A50 41A99 PDFBibTeX XMLCite \textit{V. Brailovsky}, Pattern Recognition 11, 77--83 (1979; Zbl 0441.62076) Full Text: DOI
Armstrong, Ronald D.; Frome, E. L.; Kung, D. S. A revised simplex algorithm for the absolute deviation curve fitting problem. (English) Zbl 0439.65049 Commun. Stat., Simulation Comput. B8, 175-190 (1979). MSC: 65K05 90C05 65D10 62J05 41A50 PDFBibTeX XMLCite \textit{R. D. Armstrong} et al., Commun. Stat., Simulation Comput. B8, 175--190 (1979; Zbl 0439.65049) Full Text: DOI
Hoel, P. G.; Jennrich, R. I. Optimal designs for dose response experiments in cancer research. (English) Zbl 0406.62079 Biometrika 66, 307-316 (1979). MSC: 62P10 62K05 62K10 41A50 PDFBibTeX XMLCite \textit{P. G. Hoel} and \textit{R. I. Jennrich}, Biometrika 66, 307--316 (1979; Zbl 0406.62079) Full Text: DOI
Tortorella, Michael; O’Bryan, Thomas E. Estimation of the prior distribution by best approximation in uniformly convex function spaces. (English) Zbl 0395.60028 Bull. Inst. Math., Acad. Sin. 7, 69-85 (1979). MSC: 60F05 62C99 62G05 41A50 44A15 PDFBibTeX XMLCite \textit{M. Tortorella} and \textit{T. E. O'Bryan}, Bull. Inst. Math., Acad. Sin. 7, 69--85 (1979; Zbl 0395.60028)
Essenwanger, O. Applied statistics in atmospheric science. Part A: Frequencies and curve fitting. (English) Zbl 0358.62090 Developments in Atmospheric Science. 4 A. Amsterdam - Oxford -New York: Elsevier Scientific Publishing Comp. XII, 412 p. $ 57.25; Dfl. 140.00 (1976). MSC: 62P99 62-00 15A18 41A50 62M10 62-01 PDFBibTeX XML
Nashed, M. Z.; Rall, L. B. Annotated bibliography on generalized inverses and applications. (English) Zbl 0346.15001 Gen. Inverses Appl., Proc. adv. Semin., Madison 1973, 771-1041 (1976). MSC: 15-02 00A15 15A09 41A50 47-01 62-01 65F20 PDFBibTeX XML
Bamber, Donald Estimators for functions of the probability of success in a sequence of Bernoulli trials. (English) Zbl 0321.62046 Commun. Stat. 4, 941-953 (1975). MSC: 62G05 65D15 41A50 41A10 PDFBibTeX XMLCite \textit{D. Bamber}, Commun. Stat. 4, 941--953 (1975; Zbl 0321.62046) Full Text: DOI
McClure, Donald E. Nonlinear segmented function approximation and analysis of line patterns. (English) Zbl 0313.41004 Q. appl. Math. 33, 1-37 (1975). MSC: 41A15 41A30 68T10 62K05 41A50 PDFBibTeX XMLCite \textit{D. E. McClure}, Q. Appl. Math. 33, 1--37 (1975; Zbl 0313.41004) Full Text: DOI