Hamm, Thomas; Steinwart, Ingo Intrinsic dimension adaptive partitioning for kernel methods. (English) Zbl 1491.68154 SIAM J. Math. Data Sci. 4, No. 2, 721-749 (2022). MSC: 68T05 62J07 68T09 PDFBibTeX XMLCite \textit{T. Hamm} and \textit{I. Steinwart}, SIAM J. Math. Data Sci. 4, No. 2, 721--749 (2022; Zbl 1491.68154) Full Text: DOI arXiv
Hamm, Thomas; Steinwart, Ingo Adaptive learning rates for support vector machines working on data with low intrinsic dimension. (English) Zbl 1486.62107 Ann. Stat. 49, No. 6, 3153-3180 (2021). MSC: 62G08 62H30 68T05 PDFBibTeX XMLCite \textit{T. Hamm} and \textit{I. Steinwart}, Ann. Stat. 49, No. 6, 3153--3180 (2021; Zbl 1486.62107) Full Text: DOI arXiv
Hang, Hanyuan; Steinwart, Ingo Optimal learning with anisotropic Gaussian SVMs. (English) Zbl 1528.68342 Appl. Comput. Harmon. Anal. 55, 337-367 (2021). MSC: 68T05 47B32 62G08 90C90 PDFBibTeX XMLCite \textit{H. Hang} and \textit{I. Steinwart}, Appl. Comput. Harmon. Anal. 55, 337--367 (2021; Zbl 1528.68342) Full Text: DOI arXiv
Steinwart, Ingo; Ziegel, Johanna F. Strictly proper kernel scores and characteristic kernels on compact spaces. (English) Zbl 1462.62774 Appl. Comput. Harmon. Anal. 51, 510-542 (2021). MSC: 62R40 62G07 62M20 68T05 42A82 46E22 47B34 47G10 62P12 86A08 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{J. F. Ziegel}, Appl. Comput. Harmon. Anal. 51, 510--542 (2021; Zbl 1462.62774) Full Text: DOI arXiv
Steinwart, Ingo; Fischer, Simon A closer look at covering number bounds for Gaussian kernels. (English) Zbl 1455.68185 J. Complexity 62, Article ID 101513, 17 p. (2021). MSC: 68T05 46E22 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{S. Fischer}, J. Complexity 62, Article ID 101513, 17 p. (2021; Zbl 1455.68185) Full Text: DOI arXiv
Fischer, Simon; Steinwart, Ingo Sobolev norm learning rates for regularized least-squares algorithms. (English) Zbl 1475.68268 J. Mach. Learn. Res. 21, Paper No. 205, 38 p. (2020). Reviewer: Yunwen Lei (Hong Kong) MSC: 68T05 62G08 PDFBibTeX XMLCite \textit{S. Fischer} and \textit{I. Steinwart}, J. Mach. Learn. Res. 21, Paper No. 205, 38 p. (2020; Zbl 1475.68268) Full Text: arXiv Link
Farooq, Muhammad; Steinwart, Ingo Learning rates for kernel-based expectile regression. (English) Zbl 1480.62067 Mach. Learn. 108, No. 2, 203-227 (2019). MSC: 62G08 60B12 68T05 62P20 PDFBibTeX XMLCite \textit{M. Farooq} and \textit{I. Steinwart}, Mach. Learn. 108, No. 2, 203--227 (2019; Zbl 1480.62067) Full Text: DOI arXiv
Hang, Hanyuan; Steinwart, Ingo; Feng, Yunlong; Suykens, Johan A. K. Kernel density estimation for dynamical systems. (English) Zbl 1466.62282 J. Mach. Learn. Res. 19, Paper No. 35, 49 p. (2018). MSC: 62G07 37A50 68T05 PDFBibTeX XMLCite \textit{H. Hang} et al., J. Mach. Learn. Res. 19, Paper No. 35, 49 p. (2018; Zbl 1466.62282) Full Text: arXiv Link
Blaschzyk, Ingrid; Steinwart, Ingo Improved classification rates under refined margin conditions. (English) Zbl 1473.62211 Electron. J. Stat. 12, No. 1, 793-823 (2018). MSC: 62H30 62G20 68T05 PDFBibTeX XMLCite \textit{I. Blaschzyk} and \textit{I. Steinwart}, Electron. J. Stat. 12, No. 1, 793--823 (2018; Zbl 1473.62211) Full Text: DOI arXiv Euclid
Steinwart, Ingo Representation of quasi-monotone functionals by families of separating hyperplanes. (English) Zbl 1381.46004 Math. Nachr. 290, No. 11-12, 1859-1883 (2017). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46A22 26B25 46N10 46N30 91B30 PDFBibTeX XMLCite \textit{I. Steinwart}, Math. Nachr. 290, No. 11--12, 1859--1883 (2017; Zbl 1381.46004) Full Text: DOI arXiv
Hang, Hanyuan; Steinwart, Ingo A Bernstein-type inequality for some mixing processes and dynamical systems with an application to learning. (English) Zbl 1388.60060 Ann. Stat. 45, No. 2, 708-743 (2017). Reviewer: Giovanni Puccetti (Milano) MSC: 60E15 60G10 37D20 60F10 68T05 62G08 62M10 PDFBibTeX XMLCite \textit{H. Hang} and \textit{I. Steinwart}, Ann. Stat. 45, No. 2, 708--743 (2017; Zbl 1388.60060) Full Text: DOI arXiv
Hang, Hanyuan; Feng, Yunlong; Steinwart, Ingo; Suykens, Johan A. K. Learning theory estimates with observations from general stationary stochastic processes. (English) Zbl 1476.68229 Neural Comput. 28, No. 12, 2853-2889 (2016). MSC: 68T05 60G10 62G05 62H30 PDFBibTeX XMLCite \textit{H. Hang} et al., Neural Comput. 28, No. 12, 2853--2889 (2016; Zbl 1476.68229) Full Text: DOI arXiv
Meister, Mona; Steinwart, Ingo Optimal learning rates for localized SVMs. (English) Zbl 1433.68368 J. Mach. Learn. Res. 17, Paper No. 194, 44 p. (2016). MSC: 68T05 60E15 62G08 PDFBibTeX XMLCite \textit{M. Meister} and \textit{I. Steinwart}, J. Mach. Learn. Res. 17, Paper No. 194, 44 p. (2016; Zbl 1433.68368) Full Text: arXiv Link
Steinwart, Ingo Measuring the capacity of sets of functions in the analysis of ERM. (English) Zbl 1336.68223 Vovk, Vladimir (ed.) et al., Measures of complexity. Festschrift for Alexey Chervonenkis. Cham: Springer (ISBN 978-3-319-21851-9/hbk; 978-3-319-21852-6/ebook). 217-233 (2015). MSC: 68T05 PDFBibTeX XMLCite \textit{I. Steinwart}, in: Measures of complexity. Festschrift for Alexey Chervonenkis. Cham: Springer. 217--233 (2015; Zbl 1336.68223) Full Text: DOI
Hang, H.; Steinwart, I. Fast learning from \(\alpha\)-mixing observations. (English) Zbl 1359.62242 J. Multivariate Anal. 127, 184-199 (2014). MSC: 62H30 62G08 62M10 68T05 PDFBibTeX XMLCite \textit{H. Hang} and \textit{I. Steinwart}, J. Multivariate Anal. 127, 184--199 (2014; Zbl 1359.62242) Full Text: DOI
Steinwart, Ingo Some remarks on the statistical analysis of SVMs and related methods. (English) Zbl 1330.68257 Schölkopf, Bernhard (ed.) et al., Empirical inference. Festschrift in honor of Vladimir N. Vapnik. Berlin: Springer (ISBN 978-3-642-41135-9/hbk; 978-3-642-41136-6/ebook). 25-36 (2013). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{I. Steinwart}, in: Empirical inference. Festschrift in honor of Vladimir N. Vapnik. Berlin: Springer. 25--36 (2013; Zbl 1330.68257) Full Text: DOI
Eberts, Mona; Steinwart, Ingo Optimal regression rates for SVMs using Gaussian kernels. (English) Zbl 1337.62073 Electron. J. Stat. 7, 1-42 (2013). MSC: 62G08 62G05 68T05 PDFBibTeX XMLCite \textit{M. Eberts} and \textit{I. Steinwart}, Electron. J. Stat. 7, 1--42 (2013; Zbl 1337.62073) Full Text: DOI Euclid
Steinwart, Ingo; Scovel, Clint Mercer’s theorem on general domains: on the interaction between measures, kernels, and RKHSs. (English) Zbl 1252.46018 Constr. Approx. 35, No. 3, 363-417 (2012). Reviewer: Mikael Lindström (Oulu) MSC: 46E22 47B32 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{C. Scovel}, Constr. Approx. 35, No. 3, 363--417 (2012; Zbl 1252.46018) Full Text: DOI arXiv
Györfi, Laszlo (ed.); Lugosi, Gabor (ed.); Steinwart, Ingo (ed.); van de Geer, Sara (ed.) Mini-workshop: Mathematics of machine learning. Abstracts from the mini-workshop held August 21–27, 2011. (English) Zbl 1349.00179 Oberwolfach Rep. 8, No. 3, 2365-2396 (2011). MSC: 00B05 00B25 68-06 62-06 68T05 62G08 62H30 62L12 62M20 PDFBibTeX XMLCite \textit{L. Györfi} (ed.) et al., Oberwolfach Rep. 8, No. 3, 2365--2396 (2011; Zbl 1349.00179) Full Text: DOI
Steinwart, Ingo; Hush, Don; Scovel, Clint Training SVMs without offset. (English) Zbl 1280.68199 J. Mach. Learn. Res. 12, 141-202 (2011). MSC: 68T05 PDFBibTeX XMLCite \textit{I. Steinwart} et al., J. Mach. Learn. Res. 12, 141--202 (2011; Zbl 1280.68199) Full Text: Link
Scovel, Clint; Hush, Don; Steinwart, Ingo; Theiler, James Radial kernels and their reproducing kernel Hilbert spaces. (English) Zbl 1225.46019 J. Complexity 26, No. 6, 641-660 (2010). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 46E22 PDFBibTeX XMLCite \textit{C. Scovel} et al., J. Complexity 26, No. 6, 641--660 (2010; Zbl 1225.46019) Full Text: DOI
Christmann, Andreas; van Messem, Arnout; Steinwart, Ingo On consistency and robustness properties of support vector machines for heavy-tailed distributions. (English) Zbl 1245.62057 Stat. Interface 2, No. 3, 311-327 (2009). MSC: 62G32 68T05 46N30 PDFBibTeX XMLCite \textit{A. Christmann} et al., Stat. Interface 2, No. 3, 311--327 (2009; Zbl 1245.62057) Full Text: DOI
Steinwart, Ingo Two oracle inequalities for regularized boosting classifiers. (English) Zbl 1245.68161 Stat. Interface 2, No. 3, 271-284 (2009). MSC: 68T05 68T10 62G20 62H30 PDFBibTeX XMLCite \textit{I. Steinwart}, Stat. Interface 2, No. 3, 271--284 (2009; Zbl 1245.68161) Full Text: DOI
Steinwart, I. Oracle inequalities for support vector machines that are based on random entropy numbers. (English) Zbl 1192.68540 J. Complexity 25, No. 5, 437-454 (2009). MSC: 68T05 68Q32 PDFBibTeX XMLCite \textit{I. Steinwart}, J. Complexity 25, No. 5, 437--454 (2009; Zbl 1192.68540) Full Text: DOI
Steinwart, Ingo; Anghel, Marian Consistency of support vector machines for forecasting the evolution of an unknown ergodic dynamical system from observations with unknown noise. (English) Zbl 1162.62089 Ann. Stat. 37, No. 2, 841-875 (2009). MSC: 62M20 37C99 62M45 68Q32 37D25 37M10 60K99 68T05 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{M. Anghel}, Ann. Stat. 37, No. 2, 841--875 (2009; Zbl 1162.62089) Full Text: DOI arXiv
Steinwart, Ingo; Hush, Don; Scovel, Clint Learning from dependent observations. (English) Zbl 1158.68040 J. Multivariate Anal. 100, No. 1, 175-194 (2009). MSC: 68T05 62G08 62H30 62M45 PDFBibTeX XMLCite \textit{I. Steinwart} et al., J. Multivariate Anal. 100, No. 1, 175--194 (2009; Zbl 1158.68040) Full Text: DOI arXiv
Steinwart, Ingo; Christmann, Andreas Support vector machines. (English) Zbl 1203.68171 Information Science and Statistics. New York, NY: Springer (ISBN 978-0-387-77241-7/hbk; 978-0-387-77242-4/ebook). xvi, 601 p. (2008). Reviewer: Dirk Werner (Berlin) MSC: 68-02 68T05 46E22 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{A. Christmann}, Support vector machines. New York, NY: Springer (2008; Zbl 1203.68171) Full Text: DOI
Christmann, Andreas; Steinwart, Ingo; Hubert, Mia Robust learning from bites for data mining. (English) Zbl 1452.62042 Comput. Stat. Data Anal. 52, No. 1, 347-361 (2007). MSC: 62-08 62F35 62J12 62R07 68T05 PDFBibTeX XMLCite \textit{A. Christmann} et al., Comput. Stat. Data Anal. 52, No. 1, 347--361 (2007; Zbl 1452.62042) Full Text: DOI Link
List, Nikolas; Hush, Don; Scovel, Clint; Steinwart, Ingo Gaps in support vector optimization. (English) Zbl 1203.68162 Bshouty, Nader H. (ed.) et al., Learning theory. 20th annual conference on learning theory, COLT 2007, San Diego, CA, USA, June 13–15, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-72925-9). Lecture Notes in Computer Science 4539. Lecture Notes in Artificial Intelligence, 336-348 (2007). MSC: 68T05 PDFBibTeX XMLCite \textit{N. List} et al., Lect. Notes Comput. Sci. 4539, 336--348 (2007; Zbl 1203.68162) Full Text: DOI Link
Hush, Don; Scovel, Clint; Steinwart, Ingo Stability of unstable learning algorithms. (English) Zbl 1470.68118 Mach. Learn. 67, No. 3, 197-206 (2007). MSC: 68T05 PDFBibTeX XMLCite \textit{D. Hush} et al., Mach. Learn. 67, No. 3, 197--206 (2007; Zbl 1470.68118) Full Text: DOI
Steinwart, Ingo How to compare different loss functions and their risks. (English) Zbl 1127.68089 Constructive Approximation 26, No. 2, 225-287 (2007). MSC: 68T05 68T10 62G08 62G07 62G20 68Q32 PDFBibTeX XMLCite \textit{I. Steinwart}, Constr. Approx. 26, No. 2, 225--287 (2007; Zbl 1127.68089) Full Text: DOI
Steinwart, Ingo; Scovel, Clint Fast rates for support vector machines using Gaussian kernels. (English) Zbl 1127.68091 Ann. Stat. 35, No. 2, 575-607 (2007). MSC: 68T05 41A46 62G20 68T10 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{C. Scovel}, Ann. Stat. 35, No. 2, 575--607 (2007; Zbl 1127.68091) Full Text: DOI arXiv
Hush, Don; Kelly, Patrick; Scovel, Clint; Steinwart, Ingo QP algorithms with guaranteed accuracy and run time for support vector machines. (English) Zbl 1222.68221 J. Mach. Learn. Res. 7, 733-769 (2006). MSC: 68T05 90C20 PDFBibTeX XMLCite \textit{D. Hush} et al., J. Mach. Learn. Res. 7, 733--769 (2006; Zbl 1222.68221) Full Text: Link
Steinwart, Ingo; Hush, Don R.; Scovel, Clint An explicit description of the reproducing kernel Hilbert spaces of Gaussian RBF kernels. (English) Zbl 1320.68148 IEEE Trans. Inf. Theory 52, No. 10, 4635-4643 (2006). MSC: 68T05 46E22 94A12 PDFBibTeX XMLCite \textit{I. Steinwart} et al., IEEE Trans. Inf. Theory 52, No. 10, 4635--4643 (2006; Zbl 1320.68148) Full Text: DOI
Steinwart, Ingo; Hush, Don; Scovel, Clint Function classes that approximate the Bayes risk. (English) Zbl 1143.68562 Lugosi, Gabor (ed.) et al., Learning theory. 19th annual conference on learning theory, COLT 2006, Pittsburgh, PA, USA, June 22–25, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-35294-5/pbk). Lecture Notes in Computer Science 4005. Lecture Notes in Artificial Intelligence, 79-93 (2006). MSC: 68T05 62C10 PDFBibTeX XMLCite \textit{I. Steinwart} et al., Lect. Notes Comput. Sci. 4005, 79--93 (2006; Zbl 1143.68562) Full Text: DOI
Steinwart, Ingo; Hush, Don; Scovel, Clint A new concentration result for regularized risk minimizers. (English) Zbl 1127.68090 Giné, Evarist (ed.) et al., High dimensional probability. Proceedings of the fourth international conference. Many papers based on the presentations at the conference, Santa Fe, NM, USA, June 20–24, 2005. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-67-6/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 51, 260-275 (2006). MSC: 68T05 PDFBibTeX XMLCite \textit{I. Steinwart} et al., IMS Lect. Notes, Monogr. Ser. 51, 260--275 (2006; Zbl 1127.68090) Full Text: DOI arXiv
Steinwart, Ingo; Hush, Don; Scovel, Clint A classification framework for anomaly detection. (English) Zbl 1222.68309 J. Mach. Learn. Res. 6, 211-232 (2005). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{I. Steinwart} et al., J. Mach. Learn. Res. 6, 211--232 (2005; Zbl 1222.68309) Full Text: Link
Steinwart, Ingo Consistency of support vector machines and other regularized kernel classifiers. (English) Zbl 1304.62090 IEEE Trans. Inf. Theory 51, No. 1, 128-142 (2005). MSC: 62H30 68T05 PDFBibTeX XMLCite \textit{I. Steinwart}, IEEE Trans. Inf. Theory 51, No. 1, 128--142 (2005; Zbl 1304.62090) Full Text: DOI
Steinwart, Ingo; Scovel, Clint Fast rates for support vector machines. (English) Zbl 1137.68564 Auer, Peter (ed.) et al., Learning theory. 18th annual conference on learning theory, COLT 2005, Bertinoro, Italy, June 27–30, 2005. Proceedings. Berlin: Springer (ISBN 3-540-26556-2/pbk). Lecture Notes in Computer Science 3559. Lecture Notes in Artificial Intelligence, 279-294 (2005). MSC: 68T05 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{C. Scovel}, Lect. Notes Comput. Sci. 3559, 279--294 (2005; Zbl 1137.68564) Full Text: DOI
Scovel, Clint; Hush, Don; Steinwart, Ingo Learning rates for density level detection. (English) Zbl 1101.68622 Anal. Appl., Singap. 3, No. 4, 357-371 (2005). MSC: 68Q32 68T05 PDFBibTeX XMLCite \textit{C. Scovel} et al., Anal. Appl., Singap. 3, No. 4, 357--371 (2005; Zbl 1101.68622) Full Text: DOI
Christmann, Andreas; Steinwart, Ingo On robustness properties of convex risk minimization methods for pattern recognition. (English) Zbl 1222.68348 J. Mach. Learn. Res. 5, 1007-1034 (2004). MSC: 68T10 62H30 68T05 PDFBibTeX XMLCite \textit{A. Christmann} and \textit{I. Steinwart}, J. Mach. Learn. Res. 5, 1007--1034 (2004; Zbl 1222.68348) Full Text: Link
Steinwart, Ingo Sparseness of support vector machines. (English) Zbl 1094.68082 J. Mach. Learn. Res. 4, No. 6, 1071-1105 (2004). MSC: 68T05 PDFBibTeX XMLCite \textit{I. Steinwart}, J. Mach. Learn. Res. 4, No. 6, 1071--1105 (2004; Zbl 1094.68082) Full Text: DOI
Steinwart, I. Entropy numbers of convex hulls and an application to learning algorithms. (English) Zbl 1027.41029 Arch. Math. 80, No. 3, 310-318 (2003). MSC: 41A46 68T05 68Q32 PDFBibTeX XMLCite \textit{I. Steinwart}, Arch. Math. 80, No. 3, 310--318 (2003; Zbl 1027.41029) Full Text: DOI
Steinwart, Ingo Support vector machines are universally consistent. (English) Zbl 1030.68074 J. Complexity 18, No. 3, 768-791 (2002). MSC: 68T05 PDFBibTeX XMLCite \textit{I. Steinwart}, J. Complexity 18, No. 3, 768--791 (2002; Zbl 1030.68074) Full Text: DOI Link