# zbMATH — the first resource for mathematics

## Zhou, Dingxuan

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 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
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#### 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
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#### 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
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#### 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)

#### 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 1274.41001
Cucker, Felipe; Zhou, Ding Xuan
2007
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
2007
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2006
The covering number in learning theory. Zbl 1016.68044
Zhou, Ding-Xuan
2002
Shannon sampling and function reconstruction from point values. Zbl 1107.94007
Smale, Steve; Zhou, Ding-Xuan
2004
Capacity of reproducing kernel spaces in learning theory. Zbl 1290.62033
Zhou, Ding-Xuan
2003
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
2003
Support vector machine soft margin classifiers: error analysis. Zbl 1222.68167
Chen, Di-Rong; Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2004
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
2005
Multi-kernel regularized classifiers. Zbl 1171.65043
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2007
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
2009
Learning with sample dependent hypothesis spaces. Zbl 1165.68388
Wu, Qiang; Zhou, Ding-Xuan
2008
SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324
Wu, Qiang; Zhou, Ding-Xuan
2005
Vector subdivision schemes and multiple wavelets. Zbl 0905.65139
Jia, Rong-Qing; Riemenschneider, S. D.; Zhou, Ding-Xuan
1998
Concentration estimates for learning with $$\ell ^{1}$$-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
2011
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
2006
Smoothness of multiple refinable functions and multiple wavelets. Zbl 0940.42021
Jia, Rong-Qing; Riemenschneider, Sherman D.; Zhou, Ding-Xuan
1999
Learning coordinate covariances via gradients. Zbl 1222.68270
Mukherjee, Sayan; Zhou, Ding-Xuan
2006
Regularization schemes for minimum error entropy principle. Zbl 1329.68216
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
2015
Online regularized classification algorithms. Zbl 1323.68450
Ying, Yiming; Zhou, Ding-Xuan
2006
Order of linear approximation from shift-invariant spaces. Zbl 0840.41025
Jetter, Kurt; Zhou, Ding-Xuan
1995
Optimal learning rates for least squares regularized regression with unbounded sampling. Zbl 1217.65024
Wang, Cheng; Zhou, Ding-Xuan
2011
Learnability of Gaussians with flexible variances. Zbl 1222.68339
Ying, Yiming; Zhou, Ding-Xuan
2007
Derivative reproducing properties for kernel methods in learning theory. Zbl 1152.68049
Zhou, Ding-Xuan
2008
Compactly supported wavelet bases for Sobolev spaces. Zbl 1028.42024
Jia, Rong-Qing; Wang, Jianzhong; Zhou, Ding-Xuan
2003
Learning theory approach to minimum error entropy criterion. Zbl 1320.62096
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
2013
Learning by nonsymmetric kernels with data dependent spaces and $$\ell^1$$-regularizer. Zbl 1221.68204
Xiao, Quan-Wu; Zhou, Ding-Xuan
2010
The $$p$$-norm joint spectral radius for even integers. Zbl 0908.42023
Zhou, Ding-Xuan
1998
Consistency analysis of an empirical minimum error entropy algorithm. Zbl 1382.94034
Fan, Jun; Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
2016
Concentration estimates for learning with unbounded sampling. Zbl 1283.68289
Guo, Zheng-Chu; Zhou, Ding-Xuan
2013
Geometry on probability spaces. Zbl 1187.68270
Smale, Steve; Zhou, Ding-Xuan
2009
Learning and approximation by Gaussians on Riemannian manifolds. Zbl 1156.68045
Ye, Gui-Bo; Zhou, Ding-Xuan
2008
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
2017
Inhomogeneous refinement equations. Zbl 0932.42026
Strang, Gilbert; Zhou, Ding-Xuan
1998
Learning theory of distributed spectral algorithms. Zbl 1372.65162
Guo, Zheng-Chu; Lin, Shao-Bo; Zhou, Ding-Xuan
2017
Classification with Gaussians and convex loss. Zbl 1235.68207
Xiang, Dao-Hong; Zhou, Ding-Xuan
2009
Multiple refinable Hermite interpolants. Zbl 0952.41003
Zhou, Ding-Xuan
2000
Convergence of subdivision schemes associated with nonnegative masks. Zbl 0941.42020
Jia, Rong-Qing; Zhou, Ding-Xuan
1999
Approximation by multiple refinable functions. Zbl 0904.41010
Jia, R. Q.; Riemenschneider, S. D.; Zhou, D. X.
1997
Fully online classification by regularization. Zbl 1124.68099
Ye, Gui-Bo; Zhou, Ding-Xuan
2007
Modeling language evolution. Zbl 1083.68131
Cucker, Felipe; Smale, Steve; Zhou, Ding-Xuan
2004
Norms concerning subdivision sequences and their applications in wavelets. Zbl 0986.42023
Zhou, Ding-Xuan
2001
Unregularized online learning algorithms with general loss functions. Zbl 1382.68204
Ying, Yiming; Zhou, Ding-Xuan
2017
Interpolatory orthogonal multiwavelets and refinable functions. Zbl 1369.42033
Zhou, Ding-Xuan
2002
On smoothness characterized by Bernstein type operators. Zbl 0849.41014
Zhou, Ding-Xuan
1995
On a conjecture of Z. Ditzian. Zbl 0755.41029
Zhou, Ding-Xuan
1992
Analysis of support vector machine classification. Zbl 1098.68680
Wu, Qiang; Zhou, Ding-Xuan
2006
$$L_p$$ solutions of refinement equations. Zbl 1030.42031
Jia, Rong-Qing; Lau, Ka-Sing; Zhou, Ding-Xuan
2001
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
2018
Learning theory of randomized Kaczmarz algorithm. Zbl 1351.62133
Lin, Junhong; Zhou, Ding-Xuan
2015
Learning gradients on manifolds. Zbl 1200.62070
Mukherjee, Sayan; Wu, Qiang; Zhou, Ding-Xuan
2010
Existence of multiple refinable distributions. Zbl 0901.42022
Zhou, Ding-Xuan
1997
Online pairwise learning algorithms. Zbl 07062540
Ying, Yiming; Zhou, Ding-Xuan
2016
An empirical feature-based learning algorithm producing sparse approximations. Zbl 1319.62119
Guo, Xin; Zhou, Ding-Xuan
2012
Distributed learning with regularized least squares. Zbl 1435.68273
Lin, Shao-Bo; Guo, Xin; Zhou, Ding-Xuan
2017
Approximation analysis of learning algorithms for support vector regression and quantile regression. Zbl 1235.68206
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
2012
Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels. Zbl 1153.46017
Sun, Hong-Wei; Zhou, Ding-Xuan
2008
High order Parzen windows and randomized sampling. Zbl 1183.68514
Zhou, Xiang-Jun; Zhou, Ding-Xuan
2009
Dong, Xuemei; Zhou, Ding-Xuan
2008
Construction of real-valued wavelets by symmetry. Zbl 0828.42021
Zhou, Ding-Xuan
1995
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
2016
Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077
Christmann, Andreas; Zhou, Ding-Xuan
2016
An approximation theory approach to learning with $$\ell^1$$ regularization. Zbl 1283.68308
Wang, Hong-Yan; Xiao, Quan-Wu; Zhou, Ding-Xuan
2013
SVM learning and $$L^{p}$$ approximation by Gaussians on Riemannian manifolds. Zbl 1175.68346
Ye, Gui-Bo; Zhou, Ding-Xuan
2009
Inverse theorems for multidimensional Bernstein-Durrmeyer operators in $$L_ p$$. Zbl 0762.41024
Zhou, Dingxuan
1992
Distributed kernel-based gradient descent algorithms. Zbl 1390.68542
Lin, Shao-Bo; Zhou, Ding-Xuan
2018
Learning with varying insensitive loss. Zbl 1228.62052
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
2011
Weighted approximation by multidimensional Bernstein operators. Zbl 0809.41019
Zhou, Dingxuan
1994
On a paper of Mazhar and Totik. Zbl 0785.41015
Zhou, Dingxuan
1993
Iterative regularization for learning with convex loss functions. Zbl 1360.68689
Lin, Junhong; Rosasco, Lorenzo; Zhou, Ding-Xuan
2016
Self-similar lattice tilings and subdivision schemes. Zbl 1012.42028
Zhou, Ding-Xuan
2001
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
2020
Distributed semi-supervised learning with kernel ridge regression. Zbl 1431.68106
Chang, Xiangyu; Lin, Shao-Bo; Zhou, Ding-Xuan
2017
On grouping effect of elastic net. Zbl 1285.68145
Zhou, Ding-Xuan
2013
Extinction probability of interacting branching collision processes. Zbl 1260.60179
Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan
2012
Local linear independence of refinable vectors of functions. Zbl 0956.42021
Goodman, T. N. T.; Jia, R.-Q.; Zhou, D.-X.
2000
Compactly supported refinable functions with infinite masks. Zbl 0946.42022
Strang, Gilbert; Strela, Vasily; Zhou, Ding-Xuan
1999
Stability of refinable functions, multiresolution analysis, and Haar bases. Zbl 0847.42024
Zhou, Ding-Xuan
1996
Rate of convergence for Baskakov operators with Jacobi-weights. Zbl 0855.41017
Xuan, Peicai; Zhou, Dingxuan
1995
Weighted approximation by Szász-Mirakjan operators. Zbl 0809.41021
Zhou, Dingxuan
1994
Converse theorems for multidimensional Kantorovich operators. Zbl 0808.41012
Zhou, Ding-Xuan
1993
Rate of convergence for Bernstein operators with Jacobi-weights. Zbl 0785.41014
Zhou, Dingxuan
1992
Uniform approximation by some Durrmeyer operators. Zbl 0709.41016
Zhou, Dingxuan
1990
Online regularized learning with pairwise loss functions. Zbl 1407.68394
Guo, Zheng-Chu; Ying, Yiming; Zhou, Ding-Xuan
2017
Convergence of gradient descent for minimum error entropy principle in linear regression. Zbl 1414.94263
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
2016
Minimax optimal rates of estimation in high dimensional additive models. Zbl 1360.62200
Yuan, Ming; Zhou, Ding-Xuan
2016
On the robustness of regularized pairwise learning methods based on kernels. Zbl 1403.62089
Christmann, Andreas; Zhou, Ding-Xuan
2016
Moving least-square method in learning theory. Zbl 1202.68325
Wang, Hong-Yan; Xiang, Dao-Hong; Zhou, Ding-Xuan
2010
Parzen windows for multi-class classification. Zbl 1178.68454
Pan, Zhi-Wei; Xiang, Dao-Hong; Xiao, Quan-Wu; Zhou, Ding-Xuan
2008
Mean size of wavelet packets. Zbl 1011.42020
Nielsen, Morten; Zhou, Ding-Xuan
2002
Spectra of subdivision operators. Zbl 0962.42024
Zhou, Ding-Xuan
2001
Global smoothness preservation and the variation-diminishing property. Zbl 0970.41015
Cottin, Claudia; Gavrea, Ioan; Gonska, Heinz H.; Kacsó, Daniela P.; Zhou, Ding-Xuan
1999
Characterization theorems for the approximation by a family of operators. Zbl 0840.41017
Mache, Detlef H.; Zhou, Ding X.
1996
On an extremal problem concerning Bernstein operators. Zbl 0821.41010
Gonska, Heinz H.; Zhou, Ding-Xuan
1995
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
2019
Modified Fejér sequences and applications. Zbl 1427.90267
Lin, Junhong; Rosasco, Lorenzo; Villa, Silvia; Zhou, Ding-Xuan
2018
Analysis of online composite mirror descent algorithm. Zbl 07063211
Lei, Yunwen; Zhou, Ding-Xuan
2017
Approximation by positive linear operators on variable $$L^{p(\cdot)}$$ spaces. Zbl 1358.41020
Zhou, Ding-Xuan
2014
Online learning with samples drawn from non-identical distributions. Zbl 1235.68157
Hu, Ting; Zhou, Ding-Xuan
2009
Learning theory: from regression to classification. Zbl 1205.62084
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2005
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
2020
Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
2020
Convergence of online mirror descent. Zbl 07140139
Lei, Yunwen; Zhou, Ding-Xuan
2020
Optimal learning rates for distribution regression. Zbl 1435.62259
Fang, Zhiying; Guo, Zheng-Chu; Zhou, Ding-Xuan
2020
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
2019
Data-dependent generalization bounds for multi-class classification. Zbl 1432.62188
Lei, Yunwen; Dogan, Ürün; Zhou, Ding-Xuan; Kloft, Marius
2019
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
2018
Distributed kernel-based gradient descent algorithms. Zbl 1390.68542
Lin, Shao-Bo; Zhou, Ding-Xuan
2018
Modified Fejér sequences and applications. Zbl 1427.90267
Lin, Junhong; Rosasco, Lorenzo; Villa, Silvia; Zhou, Ding-Xuan
2018
Optimal learning rates for kernel partial least squares. Zbl 1395.68235
Lin, Shao-Bo; Zhou, Ding-Xuan
2018
Learning theory of randomized sparse Kaczmarz method. Zbl 1437.94020
Lei, Yunwen; Zhou, Ding-Xuan
2018
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
2017
Learning theory of distributed spectral algorithms. Zbl 1372.65162
Guo, Zheng-Chu; Lin, Shao-Bo; Zhou, Ding-Xuan
2017
Unregularized online learning algorithms with general loss functions. Zbl 1382.68204
Ying, Yiming; Zhou, Ding-Xuan
2017
Distributed learning with regularized least squares. Zbl 1435.68273
Lin, Shao-Bo; Guo, Xin; Zhou, Ding-Xuan
2017
Distributed semi-supervised learning with kernel ridge regression. Zbl 1431.68106
Chang, Xiangyu; Lin, Shao-Bo; Zhou, Ding-Xuan
2017
Online regularized learning with pairwise loss functions. Zbl 1407.68394
Guo, Zheng-Chu; Ying, Yiming; Zhou, Ding-Xuan
2017
Analysis of online composite mirror descent algorithm. Zbl 07063211
Lei, Yunwen; Zhou, Ding-Xuan
2017
Online pairwise learning algorithms with convex loss functions. Zbl 1429.68230
Lin, Junhong; Lei, Yunwen; Zhang, Bo; Zhou, Ding-Xuan
2017
Approximation on variable exponent spaces by linear integral operators. Zbl 1373.41017
Li, Bing-Zheng; He, Bo-Lu; Zhou, Ding-Xuan
2017
Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Zbl 1373.42002
Pesenson, Isaac (ed.); Le Gia, Quoc Thong (ed.); Mayeli, Azita (ed.); Mhaskar, Hrushikesh (ed.); Zhou, Ding-Xuan (ed.)
2017
Consistency analysis of an empirical minimum error entropy algorithm. Zbl 1382.94034
Fan, Jun; Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
2016
Online pairwise learning algorithms. Zbl 07062540
Ying, Yiming; Zhou, Ding-Xuan
2016
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
2016
Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077
Christmann, Andreas; Zhou, Ding-Xuan
2016
Iterative regularization for learning with convex loss functions. Zbl 1360.68689
Lin, Junhong; Rosasco, Lorenzo; Zhou, Ding-Xuan
2016
Convergence of gradient descent for minimum error entropy principle in linear regression. Zbl 1414.94263
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
2016
Minimax optimal rates of estimation in high dimensional additive models. Zbl 1360.62200
Yuan, Ming; Zhou, Ding-Xuan
2016
On the robustness of regularized pairwise learning methods based on kernels. Zbl 1403.62089
Christmann, Andreas; Zhou, Ding-Xuan
2016
Sparsity and error analysis of empirical feature-based regularization schemes. Zbl 1367.68224
Guo, Xin; Fan, Jun; Zhou, Ding-Xuan
2016
Regularization schemes for minimum error entropy principle. Zbl 1329.68216
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
2015
Learning theory of randomized Kaczmarz algorithm. Zbl 1351.62133
Lin, Junhong; Zhou, Ding-Xuan
2015
Learning theory approach to a system identification problem involving atomic norm. Zbl 1331.68188
Li, Luoqing; Zhou, Ding-Xuan
2015
Approximation by positive linear operators on variable $$L^{p(\cdot)}$$ spaces. Zbl 1358.41020
Zhou, Ding-Xuan
2014
Analysis of approximation by linear operators on variable $$L_\rho^{p(\cdot)}$$ spaces and applications in learning theory. Zbl 07022406
Li, Bing-Zheng; Zhou, Ding-Xuan
2014
Asymptotic behaviour of extinction probability of interacting branching collision processes. Zbl 1291.60200
Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan
2014
Learning theory approach to minimum error entropy criterion. Zbl 1320.62096
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
2013
Concentration estimates for learning with unbounded sampling. Zbl 1283.68289
Guo, Zheng-Chu; Zhou, Ding-Xuan
2013
An approximation theory approach to learning with $$\ell^1$$ regularization. Zbl 1283.68308
Wang, Hong-Yan; Xiao, Quan-Wu; Zhou, Ding-Xuan
2013
On grouping effect of elastic net. Zbl 1285.68145
Zhou, Ding-Xuan
2013
Simultaneous approximation by Bernstein operators in Hölder norms. Zbl 1268.41011
Gonska, Heiner; Prestin, Jürgen; Tachev, Gancho; Zhou, Ding-Xuan
2013
Density problem and approximation error in learning theory. Zbl 07095270
Zhou, Ding-Xuan
2013
An empirical feature-based learning algorithm producing sparse approximations. Zbl 1319.62119
Guo, Xin; Zhou, Ding-Xuan
2012
Approximation analysis of learning algorithms for support vector regression and quantile regression. Zbl 1235.68206
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
2012
Extinction probability of interacting branching collision processes. Zbl 1260.60179
Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan
2012
Online learning for quantile regression and support vector regression. Zbl 1348.62187
Hu, Ting; Xiang, Dao-Hong; Zhou, Ding-Xuan
2012
Concentration estimates for learning with $$\ell ^{1}$$-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
2011
Optimal learning rates for least squares regularized regression with unbounded sampling. Zbl 1217.65024
Wang, Cheng; Zhou, Ding-Xuan
2011
Learning with varying insensitive loss. Zbl 1228.62052
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
2011
Learning by nonsymmetric kernels with data dependent spaces and $$\ell^1$$-regularizer. Zbl 1221.68204
Xiao, Quan-Wu; Zhou, Ding-Xuan
2010
Learning gradients on manifolds. Zbl 1200.62070
Mukherjee, Sayan; Wu, Qiang; Zhou, Ding-Xuan
2010
Moving least-square method in learning theory. Zbl 1202.68325
Wang, Hong-Yan; Xiang, Dao-Hong; Zhou, Ding-Xuan
2010
Hermite learning with gradient data. Zbl 1191.68532
Shi, Lei; Guo, Xin; Zhou, Ding-Xuan
2010
Online classification with varying Gaussians. Zbl 1179.62088
Hu, Ting; Zhou, Ding-Xuan
2010
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
2009
Geometry on probability spaces. Zbl 1187.68270
Smale, Steve; Zhou, Ding-Xuan
2009
Classification with Gaussians and convex loss. Zbl 1235.68207
Xiang, Dao-Hong; Zhou, Ding-Xuan
2009
High order Parzen windows and randomized sampling. Zbl 1183.68514
Zhou, Xiang-Jun; Zhou, Ding-Xuan
2009
SVM learning and $$L^{p}$$ approximation by Gaussians on Riemannian manifolds. Zbl 1175.68346
Ye, Gui-Bo; Zhou, Ding-Xuan
2009
Online learning with samples drawn from non-identical distributions. Zbl 1235.68157
Hu, Ting; Zhou, Ding-Xuan
2009
Cai, Jia; Wang, Hongyan; Zhou, Ding-Xuan
2009
Learning with sample dependent hypothesis spaces. Zbl 1165.68388
Wu, Qiang; Zhou, Ding-Xuan
2008
Derivative reproducing properties for kernel methods in learning theory. Zbl 1152.68049
Zhou, Ding-Xuan
2008
Learning and approximation by Gaussians on Riemannian manifolds. Zbl 1156.68045
Ye, Gui-Bo; Zhou, Ding-Xuan
2008
Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels. Zbl 1153.46017
Sun, Hong-Wei; Zhou, Ding-Xuan
2008
Dong, Xuemei; Zhou, Ding-Xuan
2008
Parzen windows for multi-class classification. Zbl 1178.68454
Pan, Zhi-Wei; Xiang, Dao-Hong; Xiao, Quan-Wu; Zhou, Ding-Xuan
2008
Learning theory and approximation. Abstracts from the workshop held June 29 – July 5, 2008. Zbl 1177.68114
Jetter, Kurt (ed.); Smale, Steve (ed.); Zhou, Ding-Xuan (ed.)
2008
Learning theory. An approximation theory viewpoint. Zbl 1274.41001
Cucker, Felipe; Zhou, Ding Xuan
2007
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
2007
Multi-kernel regularized classifiers. Zbl 1171.65043
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2007
Learnability of Gaussians with flexible variances. Zbl 1222.68339
Ying, Yiming; Zhou, Ding-Xuan
2007
Fully online classification by regularization. Zbl 1124.68099
Ye, Gui-Bo; Zhou, Ding-Xuan
2007
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2006
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
2006
Learning coordinate covariances via gradients. Zbl 1222.68270
Mukherjee, Sayan; Zhou, Ding-Xuan
2006
Online regularized classification algorithms. Zbl 1323.68450
Ying, Yiming; Zhou, Ding-Xuan
2006
Analysis of support vector machine classification. Zbl 1098.68680
Wu, Qiang; Zhou, Ding-Xuan
2006
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
2005
SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324
Wu, Qiang; Zhou, Ding-Xuan
2005
Learning theory: from regression to classification. Zbl 1205.62084
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2005
Shannon sampling and function reconstruction from point values. Zbl 1107.94007
Smale, Steve; Zhou, Ding-Xuan
2004
Support vector machine soft margin classifiers: error analysis. Zbl 1222.68167
Chen, Di-Rong; Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2004
Modeling language evolution. Zbl 1083.68131
Cucker, Felipe; Smale, Steve; Zhou, Ding-Xuan
2004
Capacity of reproducing kernel spaces in learning theory. Zbl 1290.62033
Zhou, Ding-Xuan
2003
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
2003
Compactly supported wavelet bases for Sobolev spaces. Zbl 1028.42024
Jia, Rong-Qing; Wang, Jianzhong; Zhou, Ding-Xuan
2003
Refinable functions: positivity and interpolation. Zbl 1071.42025
Micchelli, Charles A.; Zhou, Ding-Xuan
2003
Properties of locally linearly independent refinable function vectors. Zbl 1031.41020
Plonka, G.; Zhou, D.-X.
2003
The covering number in learning theory. Zbl 1016.68044
Zhou, Ding-Xuan
2002
Interpolatory orthogonal multiwavelets and refinable functions. Zbl 1369.42033
Zhou, Ding-Xuan
2002
Mean size of wavelet packets. Zbl 1011.42020
Nielsen, Morten; Zhou, Ding-Xuan
2002
Two-scale homogeneous functions in wavelet analysis. Zbl 1040.42040
Zhou, Ding-Xuan
2002
Supports of locally linearly independent $$M$$-refinable functions, attractors of iterated function systems and tilings. Zbl 1001.42022
Cheung, Hoi Ling; Tang, Canqin; Zhou, Ding-Xuan
2002
Norms concerning subdivision sequences and their applications in wavelets. Zbl 0986.42023
Zhou, Ding-Xuan
2001
$$L_p$$ solutions of refinement equations. Zbl 1030.42031
Jia, Rong-Qing; Lau, Ka-Sing; Zhou, Ding-Xuan
2001
Self-similar lattice tilings and subdivision schemes. Zbl 1012.42028
Zhou, Ding-Xuan
2001
Spectra of subdivision operators. Zbl 0962.42024
Zhou, Ding-Xuan
2001
The limits of refinable functions. Zbl 0963.42019
Strang, Gilbert; Zhou, Ding-Xuan
2001
Binomial matrices. Zbl 0996.15005
Boyd, Geoff; Micchelli, Charles A.; Strang, Gilbert; Zhou, Ding-Xuan
2001
...and 38 more Documents
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#### 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
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#### 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
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#### 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)

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