Edit Profile Zhou, Dingxuan Compute Distance To: Compute Author ID: zhou.dingxuan Published as: Zhou, D.; Zhou, D. X.; Zhou, D.-X.; Zhou, Ding X.; Zhou, Ding Xuan; Zhou, Ding-Xuan; Zhou, Dingxuan Homepage: https://www.cityu.edu.hk/ma/people/profile/zhoudx.htm External Links: MGP · Wikidata · ORCID · ResearchGate · dblp · GND Documents Indexed: 170 Publications since 1990, including 4 Books Reviewing Activity: 28 Reviews all top 5 Co-Authors 44 single-authored 17 Wu, Qiang 11 Hu, Ting 10 Smale, Steve 10 Ying, Yiming 8 Lin, Shaobo 7 Jia, Rong-Qing 7 Lei, Yunwen 7 Xiang, Dao-Hong 6 Jetter, Kurt 5 Gonska, Heinz Herbert 5 Guo, Xin 5 Guo, Zheng-Chu 4 Fan, Jun 4 Lin, Junhong 4 Strang, William Gilbert 3 Li, Bingzheng 3 Micchelli, Charles A. 3 Riemenschneider, Sherman D. 3 Wang, Hongyan 3 Xiao, Quanwu 3 Xuan, Peicai 3 Ye, Gui-Bo 2 Chen, Anyue 2 Chen, Yiqing 2 Christmann, Andreas 2 Cucker, Felipe 2 Guo, Zhurui 2 Le Gia, Quoc Thong 2 Li, Junping 2 Mache, Detlef-Hauke 2 Mayeli, Azita 2 Mhaskar, Hrushikesh N. 2 Mukherjee, Sayan 2 Pesenson, Isaac Zalmanovich 2 Rosasco, Lorenzo A. 2 Shi, Lei 2 Zhang, Zhenqiu 2 Zhou, Xiangjun 1 Bi, Ning 1 Boyd, Geoff 1 Cai, Jia 1 Chang, Xiangyu 1 Chen, Dirong 1 Cheung, Hoi Ling 1 Chirstmann, Andreas 1 Chui, Charles Kam-tai 1 Cottin, Claudia 1 Doğan, Ürün 1 Dong, Xuemei 1 Fang, Zhiying 1 Feng, Yunlong 1 Gavrea, Ioan 1 Goodman, Timothy N. T. 1 He, Bo-Lu 1 Kacsó, Daniela P. 1 Kloft, Marius 1 Lau, Kasing 1 Li, Luoqing 1 Li, Song 1 Nielsen, Morten 1 Pan, Zhi-Wei 1 Plonka, Gerlind 1 Pontil, Massimiliano 1 Prestin, Jurgen 1 Shi, Lei 1 Shi, Lei 1 Strela, Vasily 1 Sun, Hongwei 1 Tachev, Gancho T. 1 Tang, Canqin 1 Villa, Silvia 1 Wang, Cheng 1 Wang, Di 1 Wang, Jianzhong 1 Wenz, Hans-Jörg 1 Ye, Maodong 1 Yuan, Ming 1 Zhang, Bo 1 Zhang, Nansong all top 5 Serials 19 Journal of Approximation Theory 13 Journal of Machine Learning Research (JMLR) 11 Applied and Computational Harmonic Analysis 11 Analysis and Applications (Singapore) 7 Advances in Computational Mathematics 7 The Journal of Fourier Analysis and Applications 6 Journal of Complexity 4 Journal of Mathematical Research & Exposition 4 Approximation Theory and its Applications 4 Constructive Approximation 3 IEEE Transactions on Information Theory 3 Journal of Mathematical Analysis and Applications 3 Neural Computation 3 Abstract and Applied Analysis 2 Computers & Mathematics with Applications 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica 2 SIAM Journal on Matrix Analysis and Applications 2 IEEE Transactions on Signal Processing 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Foundations of Computational Mathematics 2 Oberwolfach Reports 2 Applied and Numerical Harmonic Analysis 1 Advances in Applied Probability 1 Analysis Mathematica 1 Inverse Problems 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Acta Mathematica Sinica 1 Acta Scientiarum Mathematicarum 1 The Annals of Statistics 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Information Sciences 1 Journal of Applied Probability 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Mathematics. Wuhan University 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Mathematica Applicata 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Computational Optimization and Applications 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Numerical Linear Algebra with Applications 1 Methods and Applications of Analysis 1 Serdica Mathematical Journal 1 Bernoulli 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of Computational Analysis and Applications 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Applied Functional Analysis 1 Cambridge Monographs on Applied and Computational Mathematics 1 SIAM Journal on Imaging Sciences all top 5 Fields 78 Computer science (68-XX) 63 Approximations and expansions (41-XX) 48 Statistics (62-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 22 Numerical analysis (65-XX) 17 Functional analysis (46-XX) 10 Information and communication theory, circuits (94-XX) 8 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 138 Publications have been cited 2,490 times in 869 Documents Cited by ▼ Year ▼ Learning theory. An approximation theory viewpoint. Zbl 1274.41001Cucker, Felipe; Zhou, Ding Xuan 202 2007 Learning theory estimates via integral operators and their approximations. Zbl 1127.68088Smale, Steve; Zhou, Ding-Xuan 180 2007 Learning rates of least-square regularized regression. Zbl 1100.68100Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 105 2006 The covering number in learning theory. Zbl 1016.68044Zhou, Ding-Xuan 105 2002 Shannon sampling and function reconstruction from point values. Zbl 1107.94007Smale, Steve; Zhou, Ding-Xuan 104 2004 Capacity of reproducing kernel spaces in learning theory. Zbl 1290.62033Zhou, Ding-Xuan 95 2003 Estimating the approximation error in learning theory. Zbl 1079.68089Smale, Steve; Zhou, Ding-Xuan 93 2003 Support vector machine soft margin classifiers: error analysis. Zbl 1222.68167Chen, Di-Rong; Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 90 2004 Shannon sampling. II: Connections to learning theory. Zbl 1107.94008Smale, Steve; Zhou, Ding-Xuan 79 2005 Multi-kernel regularized classifiers. Zbl 1171.65043Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 75 2007 Online learning with Markov sampling. Zbl 1170.68022Smale, Steve; Zhou, Ding-Xuan 65 2009 Learning with sample dependent hypothesis spaces. Zbl 1165.68388Wu, Qiang; Zhou, Ding-Xuan 53 2008 SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324Wu, Qiang; Zhou, Ding-Xuan 45 2005 Vector subdivision schemes and multiple wavelets. Zbl 0905.65139Jia, Rong-Qing; Riemenschneider, S. D.; Zhou, Ding-Xuan 45 1998 Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan 41 2011 Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103Zhou, Ding-Xuan; Jetter, Kurt 37 2006 Smoothness of multiple refinable functions and multiple wavelets. Zbl 0940.42021Jia, Rong-Qing; Riemenschneider, Sherman D.; Zhou, Ding-Xuan 35 1999 Learning coordinate covariances via gradients. Zbl 1222.68270Mukherjee, Sayan; Zhou, Ding-Xuan 33 2006 Regularization schemes for minimum error entropy principle. Zbl 1329.68216Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan 32 2015 Online regularized classification algorithms. Zbl 1323.68450Ying, Yiming; Zhou, Ding-Xuan 30 2006 Order of linear approximation from shift-invariant spaces. Zbl 0840.41025Jetter, Kurt; Zhou, Ding-Xuan 30 1995 Optimal learning rates for least squares regularized regression with unbounded sampling. Zbl 1217.65024Wang, Cheng; Zhou, Ding-Xuan 29 2011 Learnability of Gaussians with flexible variances. Zbl 1222.68339Ying, Yiming; Zhou, Ding-Xuan 28 2007 Derivative reproducing properties for kernel methods in learning theory. Zbl 1152.68049Zhou, Ding-Xuan 26 2008 Compactly supported wavelet bases for Sobolev spaces. Zbl 1028.42024Jia, Rong-Qing; Wang, Jianzhong; Zhou, Ding-Xuan 26 2003 Learning theory approach to minimum error entropy criterion. Zbl 1320.62096Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan 25 2013 Learning by nonsymmetric kernels with data dependent spaces and \(\ell^1\)-regularizer. Zbl 1221.68204Xiao, Quan-Wu; Zhou, Ding-Xuan 23 2010 The \(p\)-norm joint spectral radius for even integers. Zbl 0908.42023Zhou, Ding-Xuan 23 1998 Consistency analysis of an empirical minimum error entropy algorithm. Zbl 1382.94034Fan, Jun; Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan 21 2016 Concentration estimates for learning with unbounded sampling. Zbl 1283.68289Guo, Zheng-Chu; Zhou, Ding-Xuan 21 2013 Geometry on probability spaces. Zbl 1187.68270Smale, Steve; Zhou, Ding-Xuan 20 2009 Learning and approximation by Gaussians on Riemannian manifolds. Zbl 1156.68045Ye, Gui-Bo; Zhou, Ding-Xuan 20 2008 Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan 19 2017 Inhomogeneous refinement equations. Zbl 0932.42026Strang, Gilbert; Zhou, Ding-Xuan 19 1998 Learning theory of distributed spectral algorithms. Zbl 1372.65162Guo, Zheng-Chu; Lin, Shao-Bo; Zhou, Ding-Xuan 18 2017 Classification with Gaussians and convex loss. Zbl 1235.68207Xiang, Dao-Hong; Zhou, Ding-Xuan 18 2009 Multiple refinable Hermite interpolants. Zbl 0952.41003Zhou, Ding-Xuan 18 2000 Convergence of subdivision schemes associated with nonnegative masks. Zbl 0941.42020Jia, Rong-Qing; Zhou, Ding-Xuan 18 1999 Approximation by multiple refinable functions. Zbl 0904.41010Jia, R. Q.; Riemenschneider, S. D.; Zhou, D. X. 17 1997 Fully online classification by regularization. Zbl 1124.68099Ye, Gui-Bo; Zhou, Ding-Xuan 16 2007 Modeling language evolution. Zbl 1083.68131Cucker, Felipe; Smale, Steve; Zhou, Ding-Xuan 16 2004 Norms concerning subdivision sequences and their applications in wavelets. Zbl 0986.42023Zhou, Ding-Xuan 16 2001 Unregularized online learning algorithms with general loss functions. Zbl 1382.68204Ying, Yiming; Zhou, Ding-Xuan 15 2017 Interpolatory orthogonal multiwavelets and refinable functions. Zbl 1369.42033Zhou, Ding-Xuan 15 2002 On smoothness characterized by Bernstein type operators. Zbl 0849.41014Zhou, Ding-Xuan 15 1995 On a conjecture of Z. Ditzian. Zbl 0755.41029Zhou, Ding-Xuan 15 1992 Analysis of support vector machine classification. Zbl 1098.68680Wu, Qiang; Zhou, Ding-Xuan 14 2006 \(L_p\) solutions of refinement equations. Zbl 1030.42031Jia, Rong-Qing; Lau, Ka-Sing; Zhou, Ding-Xuan 14 2001 Deep distributed convolutional neural networks: universality. Zbl 1442.68214Zhou, Ding-Xuan 13 2018 Learning theory of randomized Kaczmarz algorithm. Zbl 1351.62133Lin, Junhong; Zhou, Ding-Xuan 13 2015 Learning gradients on manifolds. Zbl 1200.62070Mukherjee, Sayan; Wu, Qiang; Zhou, Ding-Xuan 13 2010 Existence of multiple refinable distributions. Zbl 0901.42022Zhou, Ding-Xuan 12 1997 Online pairwise learning algorithms. Zbl 07062540Ying, Yiming; Zhou, Ding-Xuan 11 2016 An empirical feature-based learning algorithm producing sparse approximations. Zbl 1319.62119Guo, Xin; Zhou, Ding-Xuan 11 2012 Distributed learning with regularized least squares. Zbl 1435.68273Lin, Shao-Bo; Guo, Xin; Zhou, Ding-Xuan 10 2017 Approximation analysis of learning algorithms for support vector regression and quantile regression. Zbl 1235.68206Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan 10 2012 Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels. Zbl 1153.46017Sun, Hong-Wei; Zhou, Ding-Xuan 10 2008 High order Parzen windows and randomized sampling. Zbl 1183.68514Zhou, Xiang-Jun; Zhou, Ding-Xuan 9 2009 Learning gradients by a gradient descent algorithm. Zbl 1142.68060Dong, Xuemei; Zhou, Ding-Xuan 9 2008 Construction of real-valued wavelets by symmetry. Zbl 0828.42021Zhou, Ding-Xuan 9 1995 Error bounds for learning the kernel. Zbl 1392.68357Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan 8 2016 Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077Christmann, Andreas; Zhou, Ding-Xuan 8 2016 An approximation theory approach to learning with \(\ell^1\) regularization. Zbl 1283.68308Wang, Hong-Yan; Xiao, Quan-Wu; Zhou, Ding-Xuan 8 2013 SVM learning and \(L^{p}\) approximation by Gaussians on Riemannian manifolds. Zbl 1175.68346Ye, Gui-Bo; Zhou, Ding-Xuan 8 2009 Inverse theorems for multidimensional Bernstein-Durrmeyer operators in \(L_ p\). Zbl 0762.41024Zhou, Dingxuan 8 1992 Distributed kernel-based gradient descent algorithms. Zbl 1390.68542Lin, Shao-Bo; Zhou, Ding-Xuan 7 2018 Learning with varying insensitive loss. Zbl 1228.62052Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan 7 2011 Weighted approximation by multidimensional Bernstein operators. Zbl 0809.41019Zhou, Dingxuan 7 1994 On a paper of Mazhar and Totik. Zbl 0785.41015Zhou, Dingxuan 7 1993 Iterative regularization for learning with convex loss functions. Zbl 1360.68689Lin, Junhong; Rosasco, Lorenzo; Zhou, Ding-Xuan 6 2016 Self-similar lattice tilings and subdivision schemes. Zbl 1012.42028Zhou, Ding-Xuan 6 2001 Universality of deep convolutional neural networks. Zbl 1434.68531Zhou, Ding-Xuan 5 2020 Distributed semi-supervised learning with kernel ridge regression. Zbl 1431.68106Chang, Xiangyu; Lin, Shao-Bo; Zhou, Ding-Xuan 5 2017 On grouping effect of elastic net. Zbl 1285.68145Zhou, Ding-Xuan 5 2013 Extinction probability of interacting branching collision processes. Zbl 1260.60179Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan 5 2012 Local linear independence of refinable vectors of functions. Zbl 0956.42021Goodman, T. N. T.; Jia, R.-Q.; Zhou, D.-X. 5 2000 Compactly supported refinable functions with infinite masks. Zbl 0946.42022Strang, Gilbert; Strela, Vasily; Zhou, Ding-Xuan 5 1999 Stability of refinable functions, multiresolution analysis, and Haar bases. Zbl 0847.42024Zhou, Ding-Xuan 5 1996 Rate of convergence for Baskakov operators with Jacobi-weights. Zbl 0855.41017Xuan, Peicai; Zhou, Dingxuan 5 1995 Weighted approximation by Szász-Mirakjan operators. Zbl 0809.41021Zhou, Dingxuan 5 1994 Converse theorems for multidimensional Kantorovich operators. Zbl 0808.41012Zhou, Ding-Xuan 5 1993 Rate of convergence for Bernstein operators with Jacobi-weights. Zbl 0785.41014Zhou, Dingxuan 5 1992 Uniform approximation by some Durrmeyer operators. Zbl 0709.41016Zhou, Dingxuan 5 1990 Online regularized learning with pairwise loss functions. Zbl 1407.68394Guo, Zheng-Chu; Ying, Yiming; Zhou, Ding-Xuan 4 2017 Convergence of gradient descent for minimum error entropy principle in linear regression. Zbl 1414.94263Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan 4 2016 Minimax optimal rates of estimation in high dimensional additive models. Zbl 1360.62200Yuan, Ming; Zhou, Ding-Xuan 4 2016 On the robustness of regularized pairwise learning methods based on kernels. Zbl 1403.62089Christmann, Andreas; Zhou, Ding-Xuan 4 2016 Moving least-square method in learning theory. Zbl 1202.68325Wang, Hong-Yan; Xiang, Dao-Hong; Zhou, Ding-Xuan 4 2010 Parzen windows for multi-class classification. Zbl 1178.68454Pan, Zhi-Wei; Xiang, Dao-Hong; Xiao, Quan-Wu; Zhou, Ding-Xuan 4 2008 Mean size of wavelet packets. Zbl 1011.42020Nielsen, Morten; Zhou, Ding-Xuan 4 2002 Spectra of subdivision operators. Zbl 0962.42024Zhou, Ding-Xuan 4 2001 Global smoothness preservation and the variation-diminishing property. Zbl 0970.41015Cottin, Claudia; Gavrea, Ioan; Gonska, Heinz H.; Kacsó, Daniela P.; Zhou, Ding-Xuan 4 1999 Characterization theorems for the approximation by a family of operators. Zbl 0840.41017Mache, Detlef H.; Zhou, Ding X. 4 1996 On an extremal problem concerning Bernstein operators. Zbl 0821.41010Gonska, Heinz H.; Zhou, Ding-Xuan 4 1995 Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan 3 2019 Modified Fejér sequences and applications. Zbl 1427.90267Lin, Junhong; Rosasco, Lorenzo; Villa, Silvia; Zhou, Ding-Xuan 3 2018 Analysis of online composite mirror descent algorithm. Zbl 07063211Lei, Yunwen; Zhou, Ding-Xuan 3 2017 Approximation by positive linear operators on variable \(L^{p(\cdot)}\) spaces. Zbl 1358.41020Zhou, Ding-Xuan 3 2014 Online learning with samples drawn from non-identical distributions. Zbl 1235.68157Hu, Ting; Zhou, Ding-Xuan 3 2009 Learning theory: from regression to classification. Zbl 1205.62084Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 3 2005 Universality of deep convolutional neural networks. Zbl 1434.68531Zhou, Ding-Xuan 5 2020 Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan 2 2020 Convergence of online mirror descent. Zbl 07140139Lei, Yunwen; Zhou, Ding-Xuan 2 2020 Optimal learning rates for distribution regression. Zbl 1435.62259Fang, Zhiying; Guo, Zheng-Chu; Zhou, Ding-Xuan 1 2020 Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan 3 2019 Data-dependent generalization bounds for multi-class classification. Zbl 1432.62188Lei, Yunwen; Dogan, Ürün; Zhou, Ding-Xuan; Kloft, Marius 1 2019 Deep distributed convolutional neural networks: universality. Zbl 1442.68214Zhou, Ding-Xuan 13 2018 Distributed kernel-based gradient descent algorithms. Zbl 1390.68542Lin, Shao-Bo; Zhou, Ding-Xuan 7 2018 Modified Fejér sequences and applications. Zbl 1427.90267Lin, Junhong; Rosasco, Lorenzo; Villa, Silvia; Zhou, Ding-Xuan 3 2018 Optimal learning rates for kernel partial least squares. Zbl 1395.68235Lin, Shao-Bo; Zhou, Ding-Xuan 2 2018 Learning theory of randomized sparse Kaczmarz method. Zbl 1437.94020Lei, Yunwen; Zhou, Ding-Xuan 1 2018 Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan 19 2017 Learning theory of distributed spectral algorithms. Zbl 1372.65162Guo, Zheng-Chu; Lin, Shao-Bo; Zhou, Ding-Xuan 18 2017 Unregularized online learning algorithms with general loss functions. Zbl 1382.68204Ying, Yiming; Zhou, Ding-Xuan 15 2017 Distributed learning with regularized least squares. Zbl 1435.68273Lin, Shao-Bo; Guo, Xin; Zhou, Ding-Xuan 10 2017 Distributed semi-supervised learning with kernel ridge regression. Zbl 1431.68106Chang, Xiangyu; Lin, Shao-Bo; Zhou, Ding-Xuan 5 2017 Online regularized learning with pairwise loss functions. Zbl 1407.68394Guo, Zheng-Chu; Ying, Yiming; Zhou, Ding-Xuan 4 2017 Analysis of online composite mirror descent algorithm. Zbl 07063211Lei, Yunwen; Zhou, Ding-Xuan 3 2017 Online pairwise learning algorithms with convex loss functions. Zbl 1429.68230Lin, Junhong; Lei, Yunwen; Zhang, Bo; Zhou, Ding-Xuan 2 2017 Approximation on variable exponent spaces by linear integral operators. Zbl 1373.41017Li, Bing-Zheng; He, Bo-Lu; Zhou, Ding-Xuan 2 2017 Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Zbl 1373.42002Pesenson, Isaac (ed.); Le Gia, Quoc Thong (ed.); Mayeli, Azita (ed.); Mhaskar, Hrushikesh (ed.); Zhou, Ding-Xuan (ed.) 1 2017 Consistency analysis of an empirical minimum error entropy algorithm. Zbl 1382.94034Fan, Jun; Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan 21 2016 Online pairwise learning algorithms. Zbl 07062540Ying, Yiming; Zhou, Ding-Xuan 11 2016 Error bounds for learning the kernel. Zbl 1392.68357Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan 8 2016 Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077Christmann, Andreas; Zhou, Ding-Xuan 8 2016 Iterative regularization for learning with convex loss functions. Zbl 1360.68689Lin, Junhong; Rosasco, Lorenzo; Zhou, Ding-Xuan 6 2016 Convergence of gradient descent for minimum error entropy principle in linear regression. Zbl 1414.94263Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan 4 2016 Minimax optimal rates of estimation in high dimensional additive models. Zbl 1360.62200Yuan, Ming; Zhou, Ding-Xuan 4 2016 On the robustness of regularized pairwise learning methods based on kernels. Zbl 1403.62089Christmann, Andreas; Zhou, Ding-Xuan 4 2016 Sparsity and error analysis of empirical feature-based regularization schemes. Zbl 1367.68224Guo, Xin; Fan, Jun; Zhou, Ding-Xuan 1 2016 Regularization schemes for minimum error entropy principle. Zbl 1329.68216Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan 32 2015 Learning theory of randomized Kaczmarz algorithm. Zbl 1351.62133Lin, Junhong; Zhou, Ding-Xuan 13 2015 Learning theory approach to a system identification problem involving atomic norm. Zbl 1331.68188Li, Luoqing; Zhou, Ding-Xuan 2 2015 Approximation by positive linear operators on variable \(L^{p(\cdot)}\) spaces. Zbl 1358.41020Zhou, Ding-Xuan 3 2014 Analysis of approximation by linear operators on variable \(L_\rho^{p(\cdot)}\) spaces and applications in learning theory. Zbl 07022406Li, Bing-Zheng; Zhou, Ding-Xuan 1 2014 Asymptotic behaviour of extinction probability of interacting branching collision processes. Zbl 1291.60200Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan 1 2014 Learning theory approach to minimum error entropy criterion. Zbl 1320.62096Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan 25 2013 Concentration estimates for learning with unbounded sampling. Zbl 1283.68289Guo, Zheng-Chu; Zhou, Ding-Xuan 21 2013 An approximation theory approach to learning with \(\ell^1\) regularization. Zbl 1283.68308Wang, Hong-Yan; Xiao, Quan-Wu; Zhou, Ding-Xuan 8 2013 On grouping effect of elastic net. Zbl 1285.68145Zhou, Ding-Xuan 5 2013 Simultaneous approximation by Bernstein operators in Hölder norms. Zbl 1268.41011Gonska, Heiner; Prestin, Jürgen; Tachev, Gancho; Zhou, Ding-Xuan 2 2013 Density problem and approximation error in learning theory. Zbl 07095270Zhou, Ding-Xuan 1 2013 An empirical feature-based learning algorithm producing sparse approximations. Zbl 1319.62119Guo, Xin; Zhou, Ding-Xuan 11 2012 Approximation analysis of learning algorithms for support vector regression and quantile regression. Zbl 1235.68206Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan 10 2012 Extinction probability of interacting branching collision processes. Zbl 1260.60179Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan 5 2012 Online learning for quantile regression and support vector regression. Zbl 1348.62187Hu, Ting; Xiang, Dao-Hong; Zhou, Ding-Xuan 2 2012 Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan 41 2011 Optimal learning rates for least squares regularized regression with unbounded sampling. Zbl 1217.65024Wang, Cheng; Zhou, Ding-Xuan 29 2011 Learning with varying insensitive loss. Zbl 1228.62052Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan 7 2011 Learning by nonsymmetric kernels with data dependent spaces and \(\ell^1\)-regularizer. Zbl 1221.68204Xiao, Quan-Wu; Zhou, Ding-Xuan 23 2010 Learning gradients on manifolds. Zbl 1200.62070Mukherjee, Sayan; Wu, Qiang; Zhou, Ding-Xuan 13 2010 Moving least-square method in learning theory. Zbl 1202.68325Wang, Hong-Yan; Xiang, Dao-Hong; Zhou, Ding-Xuan 4 2010 Hermite learning with gradient data. Zbl 1191.68532Shi, Lei; Guo, Xin; Zhou, Ding-Xuan 2 2010 Online classification with varying Gaussians. Zbl 1179.62088Hu, Ting; Zhou, Ding-Xuan 1 2010 Online learning with Markov sampling. Zbl 1170.68022Smale, Steve; Zhou, Ding-Xuan 65 2009 Geometry on probability spaces. Zbl 1187.68270Smale, Steve; Zhou, Ding-Xuan 20 2009 Classification with Gaussians and convex loss. Zbl 1235.68207Xiang, Dao-Hong; Zhou, Ding-Xuan 18 2009 High order Parzen windows and randomized sampling. Zbl 1183.68514Zhou, Xiang-Jun; Zhou, Ding-Xuan 9 2009 SVM learning and \(L^{p}\) approximation by Gaussians on Riemannian manifolds. Zbl 1175.68346Ye, Gui-Bo; Zhou, Ding-Xuan 8 2009 Online learning with samples drawn from non-identical distributions. Zbl 1235.68157Hu, Ting; Zhou, Ding-Xuan 3 2009 Gradient learning in a classification setting by gradient descent. Zbl 1187.68381Cai, Jia; Wang, Hongyan; Zhou, Ding-Xuan 2 2009 Learning with sample dependent hypothesis spaces. Zbl 1165.68388Wu, Qiang; Zhou, Ding-Xuan 53 2008 Derivative reproducing properties for kernel methods in learning theory. Zbl 1152.68049Zhou, Ding-Xuan 26 2008 Learning and approximation by Gaussians on Riemannian manifolds. Zbl 1156.68045Ye, Gui-Bo; Zhou, Ding-Xuan 20 2008 Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels. Zbl 1153.46017Sun, Hong-Wei; Zhou, Ding-Xuan 10 2008 Learning gradients by a gradient descent algorithm. Zbl 1142.68060Dong, Xuemei; Zhou, Ding-Xuan 9 2008 Parzen windows for multi-class classification. Zbl 1178.68454Pan, Zhi-Wei; Xiang, Dao-Hong; Xiao, Quan-Wu; Zhou, Ding-Xuan 4 2008 Learning theory and approximation. Abstracts from the workshop held June 29 – July 5, 2008. Zbl 1177.68114Jetter, Kurt (ed.); Smale, Steve (ed.); Zhou, Ding-Xuan (ed.) 1 2008 Learning theory. An approximation theory viewpoint. Zbl 1274.41001Cucker, Felipe; Zhou, Ding Xuan 202 2007 Learning theory estimates via integral operators and their approximations. Zbl 1127.68088Smale, Steve; Zhou, Ding-Xuan 180 2007 Multi-kernel regularized classifiers. Zbl 1171.65043Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 75 2007 Learnability of Gaussians with flexible variances. Zbl 1222.68339Ying, Yiming; Zhou, Ding-Xuan 28 2007 Fully online classification by regularization. Zbl 1124.68099Ye, Gui-Bo; Zhou, Ding-Xuan 16 2007 Learning rates of least-square regularized regression. Zbl 1100.68100Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 105 2006 Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103Zhou, Ding-Xuan; Jetter, Kurt 37 2006 Learning coordinate covariances via gradients. Zbl 1222.68270Mukherjee, Sayan; Zhou, Ding-Xuan 33 2006 Online regularized classification algorithms. Zbl 1323.68450Ying, Yiming; Zhou, Ding-Xuan 30 2006 Analysis of support vector machine classification. Zbl 1098.68680Wu, Qiang; Zhou, Ding-Xuan 14 2006 Shannon sampling. II: Connections to learning theory. Zbl 1107.94008Smale, Steve; Zhou, Ding-Xuan 79 2005 SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324Wu, Qiang; Zhou, Ding-Xuan 45 2005 Learning theory: from regression to classification. Zbl 1205.62084Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 3 2005 Shannon sampling and function reconstruction from point values. Zbl 1107.94007Smale, Steve; Zhou, Ding-Xuan 104 2004 Support vector machine soft margin classifiers: error analysis. Zbl 1222.68167Chen, Di-Rong; Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan 90 2004 Modeling language evolution. Zbl 1083.68131Cucker, Felipe; Smale, Steve; Zhou, Ding-Xuan 16 2004 Capacity of reproducing kernel spaces in learning theory. Zbl 1290.62033Zhou, Ding-Xuan 95 2003 Estimating the approximation error in learning theory. Zbl 1079.68089Smale, Steve; Zhou, Ding-Xuan 93 2003 Compactly supported wavelet bases for Sobolev spaces. Zbl 1028.42024Jia, Rong-Qing; Wang, Jianzhong; Zhou, Ding-Xuan 26 2003 Refinable functions: positivity and interpolation. Zbl 1071.42025Micchelli, Charles A.; Zhou, Ding-Xuan 1 2003 Properties of locally linearly independent refinable function vectors. Zbl 1031.41020Plonka, G.; Zhou, D.-X. 1 2003 The covering number in learning theory. Zbl 1016.68044Zhou, Ding-Xuan 105 2002 Interpolatory orthogonal multiwavelets and refinable functions. Zbl 1369.42033Zhou, Ding-Xuan 15 2002 Mean size of wavelet packets. Zbl 1011.42020Nielsen, Morten; Zhou, Ding-Xuan 4 2002 Two-scale homogeneous functions in wavelet analysis. Zbl 1040.42040Zhou, Ding-Xuan 2 2002 Supports of locally linearly independent \(M\)-refinable functions, attractors of iterated function systems and tilings. Zbl 1001.42022Cheung, Hoi Ling; Tang, Canqin; Zhou, Ding-Xuan 2 2002 Norms concerning subdivision sequences and their applications in wavelets. Zbl 0986.42023Zhou, Ding-Xuan 16 2001 \(L_p\) solutions of refinement equations. Zbl 1030.42031Jia, Rong-Qing; Lau, Ka-Sing; Zhou, Ding-Xuan 14 2001 Self-similar lattice tilings and subdivision schemes. Zbl 1012.42028Zhou, Ding-Xuan 6 2001 Spectra of subdivision operators. Zbl 0962.42024Zhou, Ding-Xuan 4 2001 The limits of refinable functions. Zbl 0963.42019Strang, Gilbert; Zhou, Ding-Xuan 3 2001 Binomial matrices. Zbl 0996.15005Boyd, Geoff; Micchelli, Charles A.; Strang, Gilbert; Zhou, Ding-Xuan 1 2001 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 940 Authors 76 Zhou, Dingxuan 34 Chen, Dirong 24 Sun, Hongwei 22 Li, Song 21 Wu, Qiang 20 Sheng, Baohuai 20 Xiang, Dao-Hong 18 Han, Bin 17 Chen, Hong 17 Guo, Zheng-Chu 17 Li, Luoqing 15 Hu, Ting 14 Jørgensen, Palle E. T. 14 Shi, Lei 14 Tong, Hongzhi 13 Cao, Feilong 13 Rosasco, Lorenzo A. 13 Xu, Zongben 13 Ying, Yiming 11 Jia, Rong-Qing 11 Lv, Shaogao 11 Sun, Qiyu 11 Xian, Jun 10 Feng, Yunlong 10 Jiang, Qingtang 10 Kim, Hark-Mahn 10 Lin, Shaobo 10 Pillonetto, Gianluigi 10 Steinwart, Ingo 10 Suykens, Johan A. K. 9 Smale, Steve 9 Zou, Bin 8 Cai, Jia 8 Lei, Yunwen 8 Zhang, Zhihua 7 De Vito, Ernesto 7 Guo, Xin 7 Skopina, Maria A. 7 Wang, Jianli 7 Wu, Zongmin 7 Xie, Linsen 7 Yang, Jianbin 7 Zhang, Haizhang 6 Chui, Charles Kam-tai 6 Fan, Jun 6 Jetter, Kurt 6 Li, Bingzheng 6 Lin, Junhong 6 Menegatto, Valdir Antonio 6 Rassias, John Michael 6 Shen, Zuowei 6 Tian, Feng 6 Yang, Fenghong 6 Ye, Peixin 6 Zhou, Xinlong 5 Berdysheva, Elena E. 5 Blanchard, Gilles 5 Cabrelli, Carlos A. 5 Caponnetto, Andrea 5 Charina, Maria 5 Chen, Heng 5 Cheng, Li 5 Christmann, Andreas 5 Conti, Costanza 5 Dong, Xuemei 5 He, Fangchao 5 Jia, Rongqing 5 Krivoshein, Aleksandr Vladimirovich 5 Mukherjee, Sayan 5 Pan, Zhibin 5 Peng, Lizhong 5 Pereverzev, Sergei V. 5 Xiao, Quanwu 4 Chang, Xiangyu 4 Chen, Anyue 4 Costarelli, Danilo 4 Fang, Qin 4 Fornasier, Massimo 4 Griebel, Michael 4 Jiang, Yingchun 4 Jun, Kil-Woung 4 Li, Baobin 4 Li, Han 4 Li, Yunzhang 4 Liu, Zhisong 4 Molter, Ursula Maria 4 Nashed, M. Zuhair 4 Peng, Jiangtao 4 Protasov, Vladimir Yu. 4 Ron, Amos 4 Sanguineti, Marcello 4 Sloan, Ian Hugh 4 Sun, Xingping 4 Tang, Yuanyan 4 Vinti, Gianluca 4 Wang, Cheng 4 Wang, Jianjun 4 Woźniakowski, Henryk 4 Xu, Min 4 Xu, Yong Li ...and 840 more Authors all top 5 Cited in 179 Serials 60 Applied and Computational Harmonic Analysis 56 Journal of Approximation Theory 49 Analysis and Applications (Singapore) 38 Journal of Mathematical Analysis and Applications 32 International Journal of Wavelets, Multiresolution and Information Processing 30 Advances in Computational Mathematics 29 Journal of Complexity 24 Neural Computation 22 Abstract and Applied Analysis 21 Acta Mathematica Sinica. English Series 20 Journal of Machine Learning Research (JMLR) 17 The Journal of Fourier Analysis and Applications 15 Journal of Computational and Applied Mathematics 13 Neural Networks 12 Proceedings of the American Mathematical Society 12 Electronic Journal of Statistics 12 Science China. Mathematics 11 Mathematics of Computation 11 Journal of Statistical Planning and Inference 11 Analysis in Theory and Applications 10 The Annals of Statistics 10 Automatica 10 Constructive Approximation 10 Machine Learning 10 Foundations of Computational Mathematics 9 Applicable Analysis 9 Computers & Mathematics with Applications 9 Science in China. Series A 9 Applied Mathematics. Series B (English Edition) 9 Communications on Pure and Applied Analysis 8 Journal of Multivariate Analysis 8 Numerical Functional Analysis and Optimization 7 Applied Mathematics and Computation 7 Results in Mathematics 7 Frontiers of Mathematics in China 6 Acta Applicandae Mathematicae 6 Computer Aided Geometric Design 6 Linear Algebra and its Applications 5 Mathematische Nachrichten 5 Transactions of the American Mathematical Society 5 Journal of Inequalities and Applications 4 Journal of Mathematical Physics 4 Information Sciences 4 Statistics & Probability Letters 4 Acta Mathematica Hungarica 4 Acta Mathematicae Applicatae Sinica. English Series 4 International Journal of Computer Mathematics 4 Bernoulli 4 The ANZIAM Journal 3 Journal of the American Statistical Association 3 Numerical Algorithms 3 Computational Optimization and Applications 3 Positivity 3 Journal of Applied Mathematics 2 Analysis Mathematica 2 Inverse Problems 2 Mathematical Methods in the Applied Sciences 2 Chaos, Solitons and Fractals 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Journal of Theoretical Probability 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Computational Statistics and Data Analysis 2 SIAM Journal on Scientific Computing 2 St. Petersburg Mathematical Journal 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Soft Computing 2 Lobachevskii Journal of Mathematics 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics and Computing 2 Journal of Function Spaces and Applications 2 Journal of Fixed Point Theory and Applications 2 Journal of Computational Dynamics 1 Discrete Applied Mathematics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 BIT 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Applied Probability 1 Journal of Mathematical Psychology 1 Mathematische Annalen ...and 79 more Serials all top 5 Cited in 46 Fields 353 Computer science (68-XX) 250 Statistics (62-XX) 219 Approximations and expansions (41-XX) 212 Harmonic analysis on Euclidean spaces (42-XX) 160 Numerical analysis (65-XX) 121 Functional analysis (46-XX) 60 Information and communication theory, circuits (94-XX) 53 Probability theory and stochastic processes (60-XX) 48 Operator theory (47-XX) 34 Operations research, mathematical programming (90-XX) 33 Difference and functional equations (39-XX) 31 Systems theory; control (93-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Biology and other natural sciences (92-XX) 13 Partial differential equations (35-XX) 10 Integral equations (45-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Combinatorics (05-XX) 8 Real functions (26-XX) 8 Abstract harmonic analysis (43-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Potential theory (31-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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