Braun, Alina; Kohler, Michael; Cho, Jeongik; Krzyżak, Adam Analysis of the rate of convergence of two regression estimates defined by neural features which are easy to implement. (English) Zbl 07823222 Electron. J. Stat. 18, No. 1, 553-598 (2024). MSC: 62G08 62M45 PDFBibTeX XMLCite \textit{A. Braun} et al., Electron. J. Stat. 18, No. 1, 553--598 (2024; Zbl 07823222) Full Text: DOI Link
Kohler, Michael; Krzyżak, Adam On the rate of convergence of a deep recurrent neural network estimate in a regression problem with dependent data. (English) Zbl 07666835 Bernoulli 29, No. 2, 1663-1685 (2023). MSC: 62Gxx 62-XX 68Txx PDFBibTeX XMLCite \textit{M. Kohler} and \textit{A. Krzyżak}, Bernoulli 29, No. 2, 1663--1685 (2023; Zbl 07666835) Full Text: DOI arXiv Link
Kohler, Michael; Krzyżak, Adam; Walter, Benjamin On the rate of convergence of image classifiers based on convolutional neural networks. (English) Zbl 07604562 Ann. Inst. Stat. Math. 74, No. 6, 1085-1108 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{M. Kohler} et al., Ann. Inst. Stat. Math. 74, No. 6, 1085--1108 (2022; Zbl 07604562) Full Text: DOI arXiv
Kohler, Michael; Krzyżak, Adam Over-parametrized deep neural networks minimizing the empirical risk do not generalize well. (English) Zbl 1504.62052 Bernoulli 27, No. 4, 2564-2597 (2021). Reviewer: Pablo Suárez-Serrato (Ciudad de México) MSC: 62G08 62G20 62M45 62R07 68T07 PDFBibTeX XMLCite \textit{M. Kohler} and \textit{A. Krzyżak}, Bernoulli 27, No. 4, 2564--2597 (2021; Zbl 1504.62052) Full Text: DOI arXiv
Bauer, Benedikt; Heimrich, Felix; Kohler, Michael; Krzyżak, Adam On estimation of surrogate models for multivariate computer experiments. (English) Zbl 1415.62017 Ann. Inst. Stat. Math. 71, No. 1, 107-136 (2019). MSC: 62G08 62G20 62P30 PDFBibTeX XMLCite \textit{B. Bauer} et al., Ann. Inst. Stat. Math. 71, No. 1, 107--136 (2019; Zbl 1415.62017) Full Text: DOI
Kohler, Michael; Krzyżak, Adam; Tent, Reinhard; Walk, Harro Nonparametric quantile estimation using importance sampling. (English) Zbl 1387.62052 Ann. Inst. Stat. Math. 70, No. 2, 439-465 (2018). MSC: 62G08 62G20 PDFBibTeX XMLCite \textit{M. Kohler} et al., Ann. Inst. Stat. Math. 70, No. 2, 439--465 (2018; Zbl 1387.62052) Full Text: DOI
Bauer, Benedikt; Devroye, Luc; Kohler, Michael; Krzyżak, Adam; Walk, Harro Nonparametric estimation of a function from noiseless observations at random points. (English) Zbl 1373.62122 J. Multivariate Anal. 160, 93-104 (2017). MSC: 62G05 62G20 PDFBibTeX XMLCite \textit{B. Bauer} et al., J. Multivariate Anal. 160, 93--104 (2017; Zbl 1373.62122) Full Text: DOI Link
Felber, Tina; Kohler, Michael; Krzyżak, Adam Adaptive density estimation based on real and artificial data. (English) Zbl 1328.62231 J. Nonparametric Stat. 27, No. 1, 1-18 (2015). MSC: 62G07 62G20 PDFBibTeX XMLCite \textit{T. Felber} et al., J. Nonparametric Stat. 27, No. 1, 1--18 (2015; Zbl 1328.62231) Full Text: DOI
Enss, Georg C.; Götz, Benedict; Kohler, Michael; Krzyżak, Adam; Platz, Roland Nonparametric estimation of a maximum of quantiles. (English) Zbl 1308.62061 Electron. J. Stat. 8, No. 2, 3176-3192 (2014). MSC: 62G05 60K35 62G30 PDFBibTeX XMLCite \textit{G. C. Enss} et al., Electron. J. Stat. 8, No. 2, 3176--3192 (2014; Zbl 1308.62061) Full Text: DOI Euclid
Kohler, Michael; Krzyżak, Adam; Walk, Harro Nonparametric recursive quantile estimation. (English) Zbl 1463.62093 Stat. Probab. Lett. 93, 102-107 (2014). MSC: 62G05 62G20 62G08 PDFBibTeX XMLCite \textit{M. Kohler} et al., Stat. Probab. Lett. 93, 102--107 (2014; Zbl 1463.62093) Full Text: DOI
Kohler, Michael; Krzyżak, Adam Optimal global rates of convergence for interpolation problems with random design. (English) Zbl 1281.62121 Stat. Probab. Lett. 83, No. 8, 1871-1879 (2013). MSC: 62G20 62G05 62G08 62C20 PDFBibTeX XMLCite \textit{M. Kohler} and \textit{A. Krzyżak}, Stat. Probab. Lett. 83, No. 8, 1871--1879 (2013; Zbl 1281.62121) Full Text: DOI
Furer, Dmytro; Kohler, Michael; Krzyżak, Adam Fixed-design regression estimation based on real and artificial data. (English) Zbl 1297.62088 J. Nonparametric Stat. 25, No. 1, 223-241 (2013). MSC: 62G08 62G20 PDFBibTeX XMLCite \textit{D. Furer} et al., J. Nonparametric Stat. 25, No. 1, 223--241 (2013; Zbl 1297.62088) Full Text: DOI
Kohler, Michael; Krzyżak, Adam Pricing of American options in discrete time using least squares estimates with complexity penalties. (English) Zbl 1244.62149 J. Stat. Plann. Inference 142, No. 8, 2289-2307 (2012). MSC: 62P05 62G08 91G20 62G20 65C05 65D07 PDFBibTeX XMLCite \textit{M. Kohler} and \textit{A. Krzyżak}, J. Stat. Plann. Inference 142, No. 8, 2289--2307 (2012; Zbl 1244.62149) Full Text: DOI
Kohler, Michael; Krzyżak, Adam; Todorovic, Nebojsa Pricing of high-dimensional American options by neural networks. (English) Zbl 1195.91160 Math. Finance 20, No. 3, 383-410 (2010). Reviewer: Pavel Stoynov (Sofia) MSC: 91G20 91G60 91G70 PDFBibTeX XMLCite \textit{M. Kohler} et al., Math. Finance 20, No. 3, 383--410 (2010; Zbl 1195.91160) Full Text: DOI
Kohler, Michael; Krzyżak, Adam; Walk, Harro Optimal global rates of convergence for nonparametric regression with unbounded data. (English) Zbl 1153.62031 J. Stat. Plann. Inference 139, No. 4, 1286-1296 (2009). MSC: 62G08 62G20 PDFBibTeX XMLCite \textit{M. Kohler} et al., J. Stat. Plann. Inference 139, No. 4, 1286--1296 (2009; Zbl 1153.62031) Full Text: DOI
Kohler, Michael; Krzyżak, Adam On the rate of convergence of local averaging plug-in classification rules under a margin condition. (English) Zbl 1314.62142 IEEE Trans. Inf. Theory 53, No. 5, 1735-1742 (2007). MSC: 62H30 62G08 PDFBibTeX XMLCite \textit{M. Kohler} and \textit{A. Krzyżak}, IEEE Trans. Inf. Theory 53, No. 5, 1735--1742 (2007; Zbl 1314.62142) Full Text: DOI
Kohler, Michael; Krzyżak, Adam; Walk, Harro Rates of convergence for partitioning and nearest neighbor regression estimates with unbounded data. (English) Zbl 1085.62041 J. Multivariate Anal. 97, No. 2, 311-323 (2006). MSC: 62G08 62G20 62H12 PDFBibTeX XMLCite \textit{M. Kohler} et al., J. Multivariate Anal. 97, No. 2, 311--323 (2006; Zbl 1085.62041) Full Text: DOI
Rafajłowicz, Ewaryst; Krzyżak, Adam Nonparametric and nonlinear reconstruction of surfaces from qualitative observations. (English) Zbl 1221.62059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e1273-e1279 (2005). MSC: 62G05 62G20 62P30 65C60 PDFBibTeX XMLCite \textit{E. Rafajłowicz} and \textit{A. Krzyżak}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e1273--e1279 (2005; Zbl 1221.62059) Full Text: DOI
Kohler, Michael; Krzyżak, Adam; Schäfer, Dominik Application of structural risk minimization to multivariate smoothing spline regression estimates. (English) Zbl 1003.62035 Bernoulli 8, No. 4, 475-489 (2002). MSC: 62G08 62G20 PDFBibTeX XMLCite \textit{M. Kohler} et al., Bernoulli 8, No. 4, 475--489 (2002; Zbl 1003.62035)
Krzyżak, Adam; Pawlak, Mirosław The pointwise rate of convergence of the kernel regression estimate. (English) Zbl 0616.62050 J. Stat. Plann. Inference 16, 159-166 (1987). MSC: 62G05 62E20 60F15 PDFBibTeX XMLCite \textit{A. Krzyżak} and \textit{M. Pawlak}, J. Stat. Plann. Inference 16, 159--166 (1987; Zbl 0616.62050) Full Text: DOI
Krzyzak, Adam; Pawlak, Miroslaw Estimation of a multivariate density by orthogonal series. (English) Zbl 0492.62043 Probability and statistical inference, Proc. 2nd Pannonian Symp., Bad Tatzmannsdorf/Austria 1981, 211-221 (1982). MSC: 62H12 62G05 PDFBibTeX XML