Zhou, Shuisheng; Zhou, Wendi Unified SVM algorithm based on LS-DC loss. (English) Zbl 1518.68336 Mach. Learn. 112, No. 8, 2975-3002 (2023). MSC: 68T05 65K10 90C25 90C26 PDFBibTeX XMLCite \textit{S. Zhou} and \textit{W. Zhou}, Mach. Learn. 112, No. 8, 2975--3002 (2023; Zbl 1518.68336) Full Text: DOI arXiv
Hsu, Daniel; Muthukumar, Vidya; Xu, Ji On the proliferation of support vectors in high dimensions. (English) Zbl 07632728 J. Stat. Mech. Theory Exp. 2022, No. 11, Article ID 114011, 27 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{D. Hsu} et al., J. Stat. Mech. Theory Exp. 2022, No. 11, Article ID 114011, 27 p. (2022; Zbl 07632728) Full Text: DOI arXiv
Le, Trung; Nguyen, Khanh; Phung, Dinh Improving kernel online learning with a snapshot memory. (English) Zbl 1491.68162 Mach. Learn. 111, No. 3, 997-1018 (2022). MSC: 68T05 68W27 90C15 PDFBibTeX XMLCite \textit{T. Le} et al., Mach. Learn. 111, No. 3, 997--1018 (2022; Zbl 1491.68162) Full Text: DOI
Muthukumar, Vidya; Narang, Adhyyan; Subramanian, Vignesh; Belkin, Mikhail; Hsu, Daniel; Sahai, Anant Classification vs regression in overparameterized regimes: does the loss function matter? (English) Zbl 07626737 J. Mach. Learn. Res. 22, Paper No. 222, 69 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{V. Muthukumar} et al., J. Mach. Learn. Res. 22, Paper No. 222, 69 p. (2021; Zbl 07626737) Full Text: arXiv Link
De Brabanter, Kris; De Brabanter, Jos Robustness by reweighting for kernel estimators: an overview. (English) Zbl 07473937 Stat. Sci. 36, No. 4, 578-594 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{K. De Brabanter} and \textit{J. De Brabanter}, Stat. Sci. 36, No. 4, 578--594 (2021; Zbl 07473937) Full Text: DOI
Sheng, Baohuai; Zuo, Lan Error analysis of the kernel regularized regression based on refined convex losses and RKBSs. (English) Zbl 1478.62095 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 5, Article ID 2150012, 52 p. (2021). MSC: 62G08 46E22 41A25 68T05 PDFBibTeX XMLCite \textit{B. Sheng} and \textit{L. Zuo}, Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 5, Article ID 2150012, 52 p. (2021; Zbl 1478.62095) Full Text: DOI
Park, Beomjin; Park, Changyi Kernel variable selection for multicategory support vector machines. (English) Zbl 1476.62146 J. Multivariate Anal. 186, Article ID 104800, 22 p. (2021). MSC: 62H30 62H12 62F12 68T05 PDFBibTeX XMLCite \textit{B. Park} and \textit{C. Park}, J. Multivariate Anal. 186, Article ID 104800, 22 p. (2021; Zbl 1476.62146) Full Text: DOI
Aziznejad, Shayan; Unser, Michael Multikernel regression with sparsity constraint. (English) Zbl 1479.46026 SIAM J. Math. Data Sci. 3, No. 1, 201-224 (2021). MSC: 46E22 46E27 47A52 62G08 68T05 PDFBibTeX XMLCite \textit{S. Aziznejad} and \textit{M. Unser}, SIAM J. Math. Data Sci. 3, No. 1, 201--224 (2021; Zbl 1479.46026) Full Text: DOI arXiv
Sheng, Baohuai; Liu, Huanxiang; Wang, Huimin Learning rates for the kernel regularized regression with a differentiable strongly convex loss. (English) Zbl 1445.68193 Commun. Pure Appl. Anal. 19, No. 8, 3973-4005 (2020). MSC: 68T05 46E22 62J02 90C25 PDFBibTeX XMLCite \textit{B. Sheng} et al., Commun. Pure Appl. Anal. 19, No. 8, 3973--4005 (2020; Zbl 1445.68193) Full Text: DOI
Sheng, Baohuai; Zhang, Haizhang Performance analysis of the LapRSSLG algorithm in learning theory. (English) Zbl 1432.68399 Anal. Appl., Singap. 18, No. 1, 79-108 (2020). MSC: 68T05 46E22 PDFBibTeX XMLCite \textit{B. Sheng} and \textit{H. Zhang}, Anal. Appl., Singap. 18, No. 1, 79--108 (2020; Zbl 1432.68399) Full Text: DOI
Shi, Lei; Huang, Xiaolin; Feng, Yunlong; Suykens, Johan A. K. Sparse kernel regression with coefficient-based \(\ell_q\)-regularization. (English) Zbl 1446.62119 J. Mach. Learn. Res. 20, Paper No. 161, 44 p. (2019). MSC: 62G08 62-08 PDFBibTeX XMLCite \textit{L. Shi} et al., J. Mach. Learn. Res. 20, Paper No. 161, 44 p. (2019; Zbl 1446.62119) Full Text: Link
Xu, Yuesheng; Ye, Qi Generalized Mercer kernels and reproducing kernel Banach spaces. (English) Zbl 1455.68009 Memoirs of the American Mathematical Society 1243. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3550-9/pbk; 978-1-4704-5077-9/ebook). vi, 122 p. (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 68-02 46-02 65-02 46E22 65Dxx 68T05 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{Q. Ye}, Generalized Mercer kernels and reproducing kernel Banach spaces. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1455.68009) Full Text: DOI arXiv
May, Avner; Garakani, Alireza Bagheri; Lu, Zhiyun; Guo, Dong; Liu, Kuan; Bellet, Aurélien; Fan, Linxi; Collins, Michael; Hsu, Daniel; Kingsbury, Brian; Picheny, Michael; Sha, Fei Kernel approximation methods for speech recognition. (English) Zbl 1489.68244 J. Mach. Learn. Res. 20, Paper No. 59, 36 p. (2019). MSC: 68T10 62J12 68T07 PDFBibTeX XMLCite \textit{A. May} et al., J. Mach. Learn. Res. 20, Paper No. 59, 36 p. (2019; Zbl 1489.68244) Full Text: arXiv Link
Li, Zheng; Xu, Yuesheng; Ye, Qi Sparse support vector machines in reproducing kernel Banach spaces. (English) Zbl 1405.65080 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 869-887 (2018). MSC: 65K05 68T05 90C25 46E15 PDFBibTeX XMLCite \textit{Z. Li} et al., in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 869--887 (2018; Zbl 1405.65080) Full Text: DOI
Horn, Daniel; Demircioğlu, Aydın; Bischl, Bernd; Glasmachers, Tobias; Weihs, Claus A comparative study on large scale kernelized support vector machines. (English) Zbl 1416.68144 Adv. Data Anal. Classif., ADAC 12, No. 4, 867-883 (2018). MSC: 68T05 PDFBibTeX XMLCite \textit{D. Horn} et al., Adv. Data Anal. Classif., ADAC 12, No. 4, 867--883 (2018; Zbl 1416.68144) Full Text: DOI
Sheng, Baohuai; Wang, Jianli; Xiang, Daohong Error analysis on Hérmite learning with gradient data. (English) Zbl 1400.68181 Chin. Ann. Math., Ser. B 39, No. 4, 705-720 (2018). MSC: 68T05 41A25 46E22 90C25 PDFBibTeX XMLCite \textit{B. Sheng} et al., Chin. Ann. Math., Ser. B 39, No. 4, 705--720 (2018; Zbl 1400.68181) Full Text: DOI
Feng, Chang; Liao, Shizhong Scalable Gaussian kernel support vector machines with sublinear training time complexity. (English) Zbl 1436.68299 Inf. Sci. 418-419, 480-494 (2017). MSC: 68T05 PDFBibTeX XMLCite \textit{C. Feng} and \textit{S. Liao}, Inf. Sci. 418--419, 480--494 (2017; Zbl 1436.68299) Full Text: DOI
Le, Trung; Nguyen, Tu Dinh; Nguyen, Vu; Phung, Dinh Approximation vector machines for large-scale online learning. (English) Zbl 1435.68269 J. Mach. Learn. Res. 18(2017-2018), Paper No. 111, 55 p. (2017). MSC: 68T05 62G08 62H30 68T09 68W27 PDFBibTeX XMLCite \textit{T. Le} et al., J. Mach. Learn. Res. 18, Paper No. 111, 55 p. (2017; Zbl 1435.68269) Full Text: arXiv Link
Sheng, Baohuai; Xiang, Daohong The performance of semi-supervised Laplacian regularized regression with the least square loss. (English) Zbl 1360.41008 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750016, 31 p. (2017). MSC: 41A25 90C25 68Q32 68T05 46E22 PDFBibTeX XMLCite \textit{B. Sheng} and \textit{D. Xiang}, Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750016, 31 p. (2017; Zbl 1360.41008) Full Text: DOI
Schneider, Markus; Ertel, Wolfgang; Ramos, Fabio Expected similarity estimation for large-scale batch and streaming anomaly detection. (English) Zbl 1432.94044 Mach. Learn. 105, No. 3, 305-333 (2016). MSC: 94A16 62R07 62G05 62H30 68T10 PDFBibTeX XMLCite \textit{M. Schneider} et al., Mach. Learn. 105, No. 3, 305--333 (2016; Zbl 1432.94044) Full Text: DOI arXiv
Zaidi, Nayyar A.; Webb, Geoffrey I.; Carman, Mark J.; Petitjean, François; Cerquides, Jesús \(\text{ALR}^n\): accelerated higher-order logistic regression. (English) Zbl 1386.68147 Mach. Learn. 104, No. 2-3, 151-194 (2016). MSC: 68T05 62H30 62J02 PDFBibTeX XMLCite \textit{N. A. Zaidi} et al., Mach. Learn. 104, No. 2--3, 151--194 (2016; Zbl 1386.68147) Full Text: DOI
Huang, Xiaolin; Shi, Lei; Suykens, Johan A. K. Asymmetric least squares support vector machine classifiers. (English) Zbl 1471.62092 Comput. Stat. Data Anal. 70, 395-405 (2014). MSC: 62-08 62H30 68T05 PDFBibTeX XMLCite \textit{X. Huang} et al., Comput. Stat. Data Anal. 70, 395--405 (2014; Zbl 1471.62092) Full Text: DOI Link
Ñanculef, Ricardo; Frandi, Emanuele; Sartori, Claudio; Allende, Héctor A novel Frank-Wolfe algorithm. Analysis and applications to large-scale SVM training. (English) Zbl 1355.68234 Inf. Sci. 285, 66-99 (2014). MSC: 68T05 PDFBibTeX XMLCite \textit{R. Ñanculef} et al., Inf. Sci. 285, 66--99 (2014; Zbl 1355.68234) Full Text: DOI arXiv
Zhang, Li; Zhou, WeiDa Analysis of programming properties and the row-column generation method for 1-norm support vector machines. (English) Zbl 1297.68208 Neural Netw. 48, 32-43 (2013). MSC: 68T05 90C05 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{W. Zhou}, Neural Netw. 48, 32--43 (2013; Zbl 1297.68208) Full Text: DOI
Vogt, Michael System identification techniques based on support vector machines without bias term. (English) Zbl 1284.93246 Int. J. Adapt. Control Signal Process. 27, No. 9, 809-826 (2013). MSC: 93E12 62H30 93E24 PDFBibTeX XMLCite \textit{M. Vogt}, Int. J. Adapt. Control Signal Process. 27, No. 9, 809--826 (2013; Zbl 1284.93246) Full Text: DOI
Sheng, Bao Huai; Xiang, Dao Hong The learning rate of \(l_2\)-coefficient regularized classification with strong loss. (English) Zbl 1277.68099 Acta Math. Sin., Engl. Ser. 29, No. 12, 2397-2408 (2013). MSC: 68Q32 62C20 90C25 PDFBibTeX XMLCite \textit{B. H. Sheng} and \textit{D. H. Xiang}, Acta Math. Sin., Engl. Ser. 29, No. 12, 2397--2408 (2013; Zbl 1277.68099) Full Text: DOI
Severyn, Aliaksei; Moschitti, Alessandro Fast support vector machines for convolution tree kernels. (English) Zbl 1260.68344 Data Min. Knowl. Discov. 25, No. 2, 325-357 (2012). MSC: 68T05 68T50 PDFBibTeX XMLCite \textit{A. Severyn} and \textit{A. Moschitti}, Data Min. Knowl. Discov. 25, No. 2, 325--357 (2012; Zbl 1260.68344) Full Text: DOI
Hable, Robert; Christmann, Andreas On qualitative robustness of support vector machines. (English) Zbl 1274.62285 J. Multivariate Anal. 102, No. 6, 993-1007 (2011). MSC: 62G08 62G35 62H30 PDFBibTeX XMLCite \textit{R. Hable} and \textit{A. Christmann}, J. Multivariate Anal. 102, No. 6, 993--1007 (2011; Zbl 1274.62285) Full Text: DOI arXiv
Wang, Zhuang; Vucetic, Slobodan Online training on a budget of support vector machines using twin prototypes. (English) Zbl 07260240 Stat. Anal. Data Min. 3, No. 3, 149-169 (2010). MSC: 62-XX 68-XX PDFBibTeX XMLCite \textit{Z. Wang} and \textit{S. Vucetic}, Stat. Anal. Data Min. 3, No. 3, 149--169 (2010; Zbl 07260240) Full Text: DOI
Zhang, Li; Zhou, Weida On the sparseness of 1-norm support vector machines. (English) Zbl 1396.68109 Neural Netw. 23, No. 3, 373-385 (2010). MSC: 68T05 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{W. Zhou}, Neural Netw. 23, No. 3, 373--385 (2010; Zbl 1396.68109) Full Text: DOI
Orabona, Francesco; Castellini, Claudio; Caputo, Barbara; Jie, Luo; Sandini, Giulio On-line independent support vector machines. (English) Zbl 1192.68534 Pattern Recognition 43, No. 4, 1402-1412 (2010). MSC: 68T05 68W27 PDFBibTeX XMLCite \textit{F. Orabona} et al., Pattern Recognition 43, No. 4, 1402--1412 (2010; Zbl 1192.68534) Full Text: DOI
Debruyne, Michiel; Christmann, Andreas; Hubert, Mia; Suykens, Johan A. K. Robustness of reweighted least squares kernel based regression. (English) Zbl 1178.62035 J. Multivariate Anal. 101, No. 2, 447-463 (2010). MSC: 62G08 62G35 46N30 62J05 PDFBibTeX XMLCite \textit{M. Debruyne} et al., J. Multivariate Anal. 101, No. 2, 447--463 (2010; Zbl 1178.62035) Full Text: DOI
Joachims, Thorsten; Yu, Chun-Nam John Sparse kernel SVMs via cutting-plane training. (English) Zbl 1470.68123 Mach. Learn. 76, No. 2-3, 179-193 (2009). MSC: 68T05 PDFBibTeX XMLCite \textit{T. Joachims} and \textit{C.-N. J. Yu}, Mach. Learn. 76, No. 2--3, 179--193 (2009; Zbl 1470.68123) Full Text: DOI
Peleg, Dori; Meir, Ron A sparsity driven kernel machine based on minimizing a generalization error bound. (English) Zbl 1175.68385 Pattern Recognition 42, No. 11, 2607-2614 (2009). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{D. Peleg} and \textit{R. Meir}, Pattern Recognition 42, No. 11, 2607--2614 (2009; Zbl 1175.68385) Full Text: DOI
Dinuzzo, Francesco; De Nicolao, Giuseppe An algebraic characterization of the optimum of regularized kernel methods. (English) Zbl 1473.62214 Mach. Learn. 74, No. 3, 315-345 (2009). MSC: 62H30 68T05 PDFBibTeX XMLCite \textit{F. Dinuzzo} and \textit{G. De Nicolao}, Mach. Learn. 74, No. 3, 315--345 (2009; Zbl 1473.62214) 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
Christmann, Andreas; Steinwart, Ingo Consistency and robustness of kernel-based regression in convex risk minimization. (English) Zbl 1129.62031 Bernoulli 13, No. 3, 799-819 (2007). MSC: 62G08 46N30 65K99 PDFBibTeX XMLCite \textit{A. Christmann} and \textit{I. Steinwart}, Bernoulli 13, No. 3, 799--819 (2007; Zbl 1129.62031) Full Text: DOI arXiv Euclid
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; 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
Bartlett, Peter L.; Jordan, Michael I.; McAuliffe, Jon D. Comment. (English) Zbl 1246.68178 Stat. Sci. 21, No. 3, 341-346 (2006). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{P. L. Bartlett} et al., Stat. Sci. 21, No. 3, 341--346 (2006; Zbl 1246.68178) Full Text: DOI arXiv Euclid
Boucheron, Stéphane; Bousquet, Olivier; Lugosi, Gábor Theory of classification: a survey of some recent advances. (English) Zbl 1136.62355 ESAIM, Probab. Stat. 9, 323-375 (2005). MSC: 62H30 68T10 PDFBibTeX XMLCite \textit{S. Boucheron} et al., ESAIM, Probab. Stat. 9, 323--375 (2005; Zbl 1136.62355) Full Text: DOI Numdam EuDML
Koltchinskii, Vladimir; Panchenko, Dmitry Complexities of convex combinations and bounding the generalization error in classification. (English) Zbl 1080.62045 Ann. Stat. 33, No. 4, 1455-1496 (2005). MSC: 62H30 65Y20 68T99 62G05 62G20 60F15 68Q32 68Q25 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{D. Panchenko}, Ann. Stat. 33, No. 4, 1455--1496 (2005; Zbl 1080.62045) Full Text: DOI arXiv