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Author ID: zhou.dingxuan Recent zbMATH articles by "Zhou, Dingxuan"
Published as: Zhou, Ding-Xuan; Zhou, Dingxuan; Zhou, Ding Xuan; Zhou, D. X.; Zhou, D.-X.; Zhou, Ding X.
Homepage: https://www.cityu.edu.hk/ma/people/profile/zhoudx.htm
External Links: MGP · ORCID · ResearchGate · dblp · GND
all top 5

Co-Authors

46 single-authored
16 Wu, Qiang
12 Hu, Ting
12 Lin, Shaobo
10 Smale, Stephen
9 Ying, Yiming
7 Fan, Jun
7 Jia, Rong-Qing
7 Lei, Yunwen
7 Xiang, Dao-Hong
6 Gonska, Heinz Herbert
6 Guo, Xin
6 Jetter, Kurt
6 Shi, Lei
5 Guo, Zheng-Chu
5 Lin, Junhong
4 Feng, Han
4 Mao, Tong
4 Strang, William Gilbert
3 Chen, Dirong
3 Li, Bingzheng
3 Mhaskar, Hrushikesh N.
3 Micchelli, Charles A.
3 Riemenschneider, Sherman D.
3 Shi, Zhongjie
3 Song, Linhao
3 Wang, Hongyan
3 Xiao, Quanwu
3 Xuan, Peicai
3 Ye, Gui-Bo
3 Yu, Zhan
2 Chen, Anyue
2 Chen, Yiqing
2 Christmann, Andreas
2 Cucker, Felipe
2 Fang, Zhiying
2 Guo, Zhurui
2 Huang, Shuo
2 Le Gia, Quoc Thong
2 Li, Jianfei
2 Li, Junping
2 Mache, Detlef-Hauke
2 Mayeli, Azita
2 Mukherjee, Sayan
2 Pesenson, Isaac Zalmanovich
2 Rosasco, Lorenzo A.
2 Wang, Di
2 Zeng, Jinshan
2 Zhang, Zhenqiu
2 Zhou, Xiangjun
1 Bi, Ning
1 Boyd, Geoff
1 Cai, Jia
1 Chang, Xiangyu
1 Cheung, Hoi Ling
1 Chirstmann, Andreas
1 Chui, Charles Kam-tai
1 Cottin, Claudia
1 Dai, Dan
1 Doğan, Ürün
1 Dong, Xuemei
1 Donoho, David Leigh
1 Fang, Qin
1 Feng, Yunlong
1 Gao, Wei
1 Gavrea, Ioan
1 Goodman, Timothy N. T.
1 He, Bo-Lu
1 Ho, Daniel W. C.
1 Kacsó, Daniela P.
1 Kloft, Marius
1 Lau, Kasing
1 Lei, Guanhang
1 Lei, Zhen
1 Li, Luoqing
1 Li, Song
1 Nielsen, Morten
1 Pan, Zhiwei
1 Plonka, Gerlind
1 Pontil, Massimiliano
1 Prestin, Jurgen
1 Strela, Vasily
1 Sun, Hongwei
1 Tachev, Gancho T.
1 Tang, Canqin
1 Villa, Silvia
1 Wang, Cheng
1 Wang, Jianzhong
1 Wang, Kaidong
1 Wang, Yao
1 Wang, Yuguang
1 Wei, Le-Yin
1 Wenz, Hans-Jörg
1 Wong, Roderick Sue-Chuen
1 Xu, Min
1 Yao, Yuan
1 Ye, Maodong
1 Yin, Wotao
1 Yuan, Ming
1 Zeng, Chenyu
1 Zhang, Bo
...and 2 more Co-Authors
all top 5

Serials

19 Journal of Approximation Theory
15 Applied and Computational Harmonic Analysis
14 Journal of Machine Learning Research (JMLR)
13 Analysis and Applications (Singapore)
9 Advances in Computational Mathematics
9 The Journal of Fourier Analysis and Applications
7 Journal of Complexity
4 IEEE Transactions on Information Theory
4 Journal of Mathematical Research & Exposition
4 Approximation Theory and its Applications
4 Constructive Approximation
4 Neural Networks
4 Neural Computation
3 Inverse Problems
3 Journal of Mathematical Analysis and Applications
3 Journal of Computational and Applied Mathematics
2 Computers & Mathematics with Applications
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 Abstract and Applied Analysis
2 Foundations of Computational Mathematics
2 Oberwolfach Reports
2 Applied and Numerical Harmonic Analysis
1 Advances in Applied Probability
1 Analysis Mathematica
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 SIAM Journal on Numerical Analysis
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 Journal of Scientific Computing
1 Linear Algebra and its Applications
1 Studia Universitatis Babeș-Bolyai. Mathematica
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 SIAM Journal on Scientific Computing
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 Series in Analysis
1 SIAM Journal on Imaging Sciences
1 Scientia Sinica. Mathematica
1 International Journal of Structural Stability and Dynamics
1 Mathematical Foundations of Computing

Publications by Year

Citations contained in zbMATH Open

159 Publications have been cited 3,472 times in 1,264 Documents Cited by Year
Learning theory. An approximation theory viewpoint. Zbl 1274.41001
Cucker, Felipe; Zhou, Ding Xuan
333
2007
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
247
2007
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
128
2006
The covering number in learning theory. Zbl 1016.68044
Zhou, Ding-Xuan
126
2002
Shannon sampling and function reconstruction from point values. Zbl 1107.94007
Smale, Steve; Zhou, Ding-Xuan
123
2004
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
113
2003
Capacity of reproducing kernel spaces in learning theory. Zbl 1290.62033
Zhou, Ding-Xuan
109
2003
Support vector machine soft margin classifiers: error analysis. Zbl 1222.68167
Chen, Di-Rong; Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
106
2004
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
99
2005
Multi-kernel regularized classifiers. Zbl 1171.65043
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
94
2007
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
79
2020
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
77
2009
Distributed learning with regularized least squares. Zbl 1435.68273
Lin, Shao-Bo; Guo, Xin; Zhou, Ding-Xuan
69
2017
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
66
2018
Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
58
2011
Learning with sample dependent hypothesis spaces. Zbl 1165.68388
Wu, Qiang; Zhou, Ding-Xuan
57
2008
SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324
Wu, Qiang; Zhou, Ding-Xuan
53
2005
Learning theory of distributed spectral algorithms. Zbl 1372.65162
Guo, Zheng-Chu; Lin, Shao-Bo; Zhou, Ding-Xuan
53
2017
Vector subdivision schemes and multiple wavelets. Zbl 0905.65139
Jia, Rong-Qing; Riemenschneider, S. D.; Zhou, Ding-Xuan
48
1998
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
45
2006
Regularization schemes for minimum error entropy principle. Zbl 1329.68216
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
44
2015
Online regularized classification algorithms. Zbl 1323.68450
Ying, Yiming; Zhou, Ding-Xuan
43
2006
Derivative reproducing properties for kernel methods in learning theory. Zbl 1152.68049
Zhou, Ding-Xuan
40
2008
Optimal learning rates for least squares regularized regression with unbounded sampling. Zbl 1217.65024
Wang, Cheng; Zhou, Ding-Xuan
39
2011
Learning coordinate covariances via gradients. Zbl 1222.68270
Mukherjee, Sayan; Zhou, Ding-Xuan
37
2006
Learnability of Gaussians with flexible variances. Zbl 1222.68339
Ying, Yiming; Zhou, Ding-Xuan
37
2007
Smoothness of multiple refinable functions and multiple wavelets. Zbl 0940.42021
Jia, Rong-Qing; Riemenschneider, Sherman D.; Zhou, Ding-Xuan
36
1999
Consistency analysis of an empirical minimum error entropy algorithm. Zbl 1382.94034
Fan, Jun; Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
36
2016
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
36
2017
Order of linear approximation from shift-invariant spaces. Zbl 0840.41025
Jetter, Kurt; Zhou, Ding-Xuan
35
1995
Learning theory approach to minimum error entropy criterion. Zbl 1320.62096
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
35
2013
Geometry on probability spaces. Zbl 1187.68270
Smale, Steve; Zhou, Ding-Xuan
31
2009
Compactly supported wavelet bases for Sobolev spaces. Zbl 1028.42024
Jia, Rong-Qing; Wang, Jianzhong; Zhou, Ding-Xuan
28
2003
Distributed kernel-based gradient descent algorithms. Zbl 1390.68542
Lin, Shao-Bo; Zhou, Ding-Xuan
28
2018
Learning by nonsymmetric kernels with data dependent spaces and \(\ell^1\)-regularizer. Zbl 1221.68204
Xiao, Quan-Wu; Zhou, Ding-Xuan
26
2010
Theory of deep convolutional neural networks: downsampling. Zbl 1434.68532
Zhou, Ding-Xuan
26
2020
Modeling language evolution. Zbl 1083.68131
Cucker, Felipe; Smale, Steve; Zhou, Ding-Xuan
26
2004
Unregularized online learning algorithms with general loss functions. Zbl 1382.68204
Ying, Yiming; Zhou, Ding-Xuan
26
2017
Distributed semi-supervised learning with kernel ridge regression. Zbl 1431.68106
Chang, Xiangyu; Lin, Shao-Bo; Zhou, Ding-Xuan
26
2017
Concentration estimates for learning with unbounded sampling. Zbl 1283.68289
Guo, Zheng-Chu; Zhou, Ding-Xuan
25
2013
The \(p\)-norm joint spectral radius for even integers. Zbl 0908.42023
Zhou, Ding-Xuan
25
1998
Online pairwise learning algorithms. Zbl 1472.68221
Ying, Yiming; Zhou, Ding-Xuan
24
2016
Learning and approximation by Gaussians on Riemannian manifolds. Zbl 1156.68045
Ye, Gui-Bo; Zhou, Ding-Xuan
24
2008
Classification with Gaussians and convex loss. Zbl 1235.68207
Xiang, Dao-Hong; Zhou, Ding-Xuan
23
2009
Convergence of subdivision schemes associated with nonnegative masks. Zbl 0941.42020
Jia, Rong-Qing; Zhou, Ding-Xuan
20
1999
Multiple refinable Hermite interpolants. Zbl 0952.41003
Zhou, Ding-Xuan
20
2000
Inhomogeneous refinement equations. Zbl 0932.42026
Strang, Gilbert; Zhou, Ding-Xuan
20
1998
Fully online classification by regularization. Zbl 1124.68099
Ye, Gui-Bo; Zhou, Ding-Xuan
19
2007
Approximation by multiple refinable functions. Zbl 0904.41010
Jia, R. Q.; Riemenschneider, S. D.; Zhou, D. X.
17
1997
Analysis of support vector machine classification. Zbl 1098.68680
Wu, Qiang; Zhou, Ding-Xuan
17
2006
Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
16
2020
Norms concerning subdivision sequences and their applications in wavelets. Zbl 0986.42023
Zhou, Ding-Xuan
16
2001
On smoothness characterized by Bernstein type operators. Zbl 0849.41014
Zhou, Ding-Xuan
16
1995
Learning theory of randomized Kaczmarz algorithm. Zbl 1351.62133
Lin, Junhong; Zhou, Ding-Xuan
16
2015
On a conjecture of Z. Ditzian. Zbl 0755.41029
Zhou, Ding-Xuan
15
1992
\(L_p\) solutions of refinement equations. Zbl 1030.42031
Jia, Rong-Qing; Lau, Ka-Sing; Zhou, Ding-Xuan
15
2001
Learning gradients on manifolds. Zbl 1200.62070
Mukherjee, Sayan; Wu, Qiang; Zhou, Ding-Xuan
15
2010
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
15
2019
Interpolatory orthogonal multiwavelets and refinable functions. Zbl 1369.42033
Zhou, Ding-Xuan
15
2002
Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077
Christmann, Andreas; Zhou, Ding-Xuan
14
2016
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
14
2016
Iterative regularization for learning with convex loss functions. Zbl 1360.68689
Lin, Junhong; Rosasco, Lorenzo; Zhou, Ding-Xuan
13
2016
Approximation analysis of learning algorithms for support vector regression and quantile regression. Zbl 1235.68206
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
13
2012
An empirical feature-based learning algorithm producing sparse approximations. Zbl 1319.62119
Guo, Xin; Zhou, Ding-Xuan
13
2012
Minimax optimal rates of estimation in high dimensional additive models. Zbl 1360.62200
Yuan, Ming; Zhou, Ding-Xuan
13
2016
Existence of multiple refinable distributions. Zbl 0901.42022
Zhou, Ding-Xuan
12
1997
Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels. Zbl 1153.46017
Sun, Hong-Wei; Zhou, Ding-Xuan
11
2008
Online regularized learning with pairwise loss functions. Zbl 1407.68394
Guo, Zheng-Chu; Ying, Yiming; Zhou, Ding-Xuan
11
2017
Inverse theorems for multidimensional Bernstein-Durrmeyer operators in \(L_ p\). Zbl 0762.41024
Zhou, Dingxuan
10
1992
Learning with varying insensitive loss. Zbl 1228.62052
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
10
2011
An approximation theory approach to learning with \(\ell^1\) regularization. Zbl 1283.68308
Wang, Hong-Yan; Xiao, Quan-Wu; Zhou, Ding-Xuan
10
2013
Characterization theorems for the approximation by a family of operators. Zbl 0840.41017
Mache, Detlef H.; Zhou, Ding X.
9
1996
Learning gradients by a gradient descent algorithm. Zbl 1142.68060
Dong, Xuemei; Zhou, Ding-Xuan
9
2008
Construction of real-valued wavelets by symmetry. Zbl 0828.42021
Zhou, Ding-Xuan
9
1995
SVM learning and \(L^{p}\) approximation by Gaussians on Riemannian manifolds. Zbl 1175.68346
Ye, Gui-Bo; Zhou, Ding-Xuan
9
2009
High order Parzen windows and randomized sampling. Zbl 1183.68514
Zhou, Xiang-Jun; Zhou, Ding-Xuan
9
2009
On the robustness of regularized pairwise learning methods based on kernels. Zbl 1403.62089
Christmann, Andreas; Zhou, Ding-Xuan
9
2016
Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Zbl 1373.42002
9
2017
On grouping effect of elastic net. Zbl 1285.68145
Zhou, Ding-Xuan
9
2013
Analysis of online composite mirror descent algorithm. Zbl 1474.68314
Lei, Yunwen; Zhou, Ding-Xuan
8
2017
Moving least-square method in learning theory. Zbl 1202.68325
Wang, Hong-Yan; Xiang, Dao-Hong; Zhou, Ding-Xuan
8
2010
Converse theorems for multidimensional Kantorovich operators. Zbl 0808.41012
Zhou, Ding-Xuan
8
1993
Theory of deep convolutional neural networks. III: Approximating radial functions. Zbl 1521.68193
Mao, Tong; Shi, Zhongjie; Zhou, Ding-Xuan
8
2021
Convergence of gradient descent for minimum error entropy principle in linear regression. Zbl 1414.94263
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
8
2016
Modified Fejér sequences and applications. Zbl 1427.90267
Lin, Junhong; Rosasco, Lorenzo; Villa, Silvia; Zhou, Ding-Xuan
8
2018
On a paper of Mazhar and Totik. Zbl 0785.41015
Zhou, Dingxuan
7
1993
Weighted approximation by multidimensional Bernstein operators. Zbl 0809.41019
Zhou, Dingxuan
7
1994
Optimal learning rates for distribution regression. Zbl 1435.62259
Fang, Zhiying; Guo, Zheng-Chu; Zhou, Ding-Xuan
7
2020
Online pairwise learning algorithms with convex loss functions. Zbl 1429.68230
Lin, Junhong; Lei, Yunwen; Zhang, Bo; Zhou, Ding-Xuan
7
2017
Weighted approximation by Szász-Mirakjan operators. Zbl 0809.41021
Zhou, Dingxuan
6
1994
Convergence of online mirror descent. Zbl 1494.68219
Lei, Yunwen; Zhou, Ding-Xuan
6
2020
Extinction probability of interacting branching collision processes. Zbl 1260.60179
Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan
6
2012
Local linear independence of refinable vectors of functions. Zbl 0956.42021
Goodman, T. N. T.; Jia, R.-Q.; Zhou, D.-X.
6
2000
Self-similar lattice tilings and subdivision schemes. Zbl 1012.42028
Zhou, Ding-Xuan
6
2001
Rate of convergence for Baskakov operators with Jacobi-weights. Zbl 0855.41017
Xuan, Peicai; Zhou, Dingxuan
6
1995
Theory of deep convolutional neural networks. II: Spherical analysis. Zbl 1475.68313
Fang, Zhiying; Feng, Han; Huang, Shuo; Zhou, Ding-Xuan
6
2020
Optimal learning rates for kernel partial least squares. Zbl 1395.68235
Lin, Shao-Bo; Zhou, Ding-Xuan
6
2018
Distributed kernel ridge regression with communications. Zbl 1502.68259
Lin, Shao-Bo; Wang, Di; Zhou, Ding-Xuan
6
2020
Rate of convergence for Bernstein operators with Jacobi-weights. Zbl 0785.41014
Zhou, Dingxuan
5
1992
Stability of refinable functions, multiresolution analysis, and Haar bases. Zbl 0847.42024
Zhou, Ding-Xuan
5
1996
Approximating functions with multi-features by deep convolutional neural networks. Zbl 07652562
Mao, Tong; Shi, Zhongjie; Zhou, Ding-Xuan
5
2023
Approximation of nonlinear functionals using deep ReLU networks. Zbl 07727372
Song, Linhao; Fan, Jun; Chen, Di-Rong; Zhou, Ding-Xuan
2
2023
Moreau envelope augmented Lagrangian method for nonconvex optimization with linear constraints. Zbl 1494.90091
Zeng, Jinshan; Yin, Wotao; Zhou, Ding-Xuan
4
2022
Approximation of functions from korobov spaces by deep convolutional neural networks. Zbl 07634934
Mao, Tong; Zhou, Ding-Xuan
3
2022
Rates of convergence of randomized Kaczmarz algorithms in Hilbert spaces. Zbl 1497.65090
Guo, Xin; Lin, Junhong; Zhou, Ding-Xuan
3
2022
Universal consistency of deep convolutional neural networks. Zbl 1508.68308
Lin, Shao-Bo; Wang, Kaidong; Wang, Yao; Zhou, Ding-Xuan
2
2022
Theory of deep convolutional neural networks. III: Approximating radial functions. Zbl 1521.68193
Mao, Tong; Shi, Zhongjie; Zhou, Ding-Xuan
8
2021
Distributed filtered hyperinterpolation for noisy data on the sphere. Zbl 1484.65025
Lin, Shao-bo; Wang, Yu Guang; Zhou, Ding-Xuan
4
2021
Robust kernel-based distribution regression. Zbl 1511.68234
Yu, Zhan; Ho, Daniel W. C.; Shi, Zhongjie; Zhou, Ding-Xuan
4
2021
Kernel gradient descent algorithm for information theoretic learning. Zbl 1479.62024
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
3
2021
On ADMM in deep learning: convergence and saturation-avoidance. Zbl 07626714
Zeng, Jinshan; Lin, Shao-Bo; Yao, Yuan; Zhou, Ding-Xuan
3
2021
Distributed regularized least squares with flexible Gaussian kernels. Zbl 1515.68265
Hu, Ting; Zhou, Ding-Xuan
1
2021
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
79
2020
Theory of deep convolutional neural networks: downsampling. Zbl 1434.68532
Zhou, Ding-Xuan
26
2020
Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
16
2020
Optimal learning rates for distribution regression. Zbl 1435.62259
Fang, Zhiying; Guo, Zheng-Chu; Zhou, Ding-Xuan
7
2020
Convergence of online mirror descent. Zbl 1494.68219
Lei, Yunwen; Zhou, Ding-Xuan
6
2020
Theory of deep convolutional neural networks. II: Spherical analysis. Zbl 1475.68313
Fang, Zhiying; Feng, Han; Huang, Shuo; Zhou, Ding-Xuan
6
2020
Distributed kernel ridge regression with communications. Zbl 1502.68259
Lin, Shao-Bo; Wang, Di; Zhou, Ding-Xuan
6
2020
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
15
2019
Boosted kernel ridge regression: optimal learning rates and early stopping. Zbl 1484.68189
Lin, Shao-Bo; Lei, Yunwen; Zhou, Ding-Xuan
3
2019
Data-dependent generalization bounds for multi-class classification. Zbl 1432.62188
Lei, Yunwen; Dogan, Ürün; Zhou, Ding-Xuan; Kloft, Marius
1
2019
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
66
2018
Distributed kernel-based gradient descent algorithms. Zbl 1390.68542
Lin, Shao-Bo; Zhou, Ding-Xuan
28
2018
Modified Fejér sequences and applications. Zbl 1427.90267
Lin, Junhong; Rosasco, Lorenzo; Villa, Silvia; Zhou, Ding-Xuan
8
2018
Optimal learning rates for kernel partial least squares. Zbl 1395.68235
Lin, Shao-Bo; Zhou, Ding-Xuan
6
2018
Learning theory of randomized sparse Kaczmarz method. Zbl 1437.94020
Lei, Yunwen; Zhou, Ding-Xuan
4
2018
Distributed learning with regularized least squares. Zbl 1435.68273
Lin, Shao-Bo; Guo, Xin; Zhou, Ding-Xuan
69
2017
Learning theory of distributed spectral algorithms. Zbl 1372.65162
Guo, Zheng-Chu; Lin, Shao-Bo; Zhou, Ding-Xuan
53
2017
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
36
2017
Unregularized online learning algorithms with general loss functions. Zbl 1382.68204
Ying, Yiming; Zhou, Ding-Xuan
26
2017
Distributed semi-supervised learning with kernel ridge regression. Zbl 1431.68106
Chang, Xiangyu; Lin, Shao-Bo; Zhou, Ding-Xuan
26
2017
Online regularized learning with pairwise loss functions. Zbl 1407.68394
Guo, Zheng-Chu; Ying, Yiming; Zhou, Ding-Xuan
11
2017
Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Zbl 1373.42002
9
2017
Analysis of online composite mirror descent algorithm. Zbl 1474.68314
Lei, Yunwen; Zhou, Ding-Xuan
8
2017
Online pairwise learning algorithms with convex loss functions. Zbl 1429.68230
Lin, Junhong; Lei, Yunwen; Zhang, Bo; Zhou, Ding-Xuan
7
2017
Recent applications of harmonic analysis to function spaces, differential equations, and data science. Novel methods in harmonic analysis. Volume 2. Zbl 1378.42001
3
2017
Approximation on variable exponent spaces by linear integral operators. Zbl 1373.41017
Li, Bing-Zheng; He, Bo-Lu; Zhou, Ding-Xuan
2
2017
Free vibration analysis of rotating Mindlin plates with variable thickness. Zbl 07838596
Fang, J. S.; Zhou, D.
1
2017
Consistency analysis of an empirical minimum error entropy algorithm. Zbl 1382.94034
Fan, Jun; Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
36
2016
Online pairwise learning algorithms. Zbl 1472.68221
Ying, Yiming; Zhou, Ding-Xuan
24
2016
Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077
Christmann, Andreas; Zhou, Ding-Xuan
14
2016
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
14
2016
Iterative regularization for learning with convex loss functions. Zbl 1360.68689
Lin, Junhong; Rosasco, Lorenzo; Zhou, Ding-Xuan
13
2016
Minimax optimal rates of estimation in high dimensional additive models. Zbl 1360.62200
Yuan, Ming; Zhou, Ding-Xuan
13
2016
On the robustness of regularized pairwise learning methods based on kernels. Zbl 1403.62089
Christmann, Andreas; Zhou, Ding-Xuan
9
2016
Convergence of gradient descent for minimum error entropy principle in linear regression. Zbl 1414.94263
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
8
2016
Sparsity and error analysis of empirical feature-based regularization schemes. Zbl 1367.68224
Guo, Xin; Fan, Jun; Zhou, Ding-Xuan
5
2016
Regularization schemes for minimum error entropy principle. Zbl 1329.68216
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
44
2015
Learning theory of randomized Kaczmarz algorithm. Zbl 1351.62133
Lin, Junhong; Zhou, Ding-Xuan
16
2015
Learning theory approach to a system identification problem involving atomic norm. Zbl 1331.68188
Li, Luoqing; Zhou, Ding-Xuan
1
2015
Approximation by positive linear operators on variable \(L^{p(\cdot)}\) spaces. Zbl 1358.41020
Zhou, Ding-Xuan
5
2014
Analysis of approximation by linear operators on variable \(L_\rho^{p(\cdot)}\) spaces and applications in learning theory. Zbl 1470.41021
Li, Bing-Zheng; Zhou, Ding-Xuan
4
2014
Asymptotic behaviour of extinction probability of interacting branching collision processes. Zbl 1291.60200
Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan
1
2014
Learning theory approach to minimum error entropy criterion. Zbl 1320.62096
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
35
2013
Concentration estimates for learning with unbounded sampling. Zbl 1283.68289
Guo, Zheng-Chu; Zhou, Ding-Xuan
25
2013
An approximation theory approach to learning with \(\ell^1\) regularization. Zbl 1283.68308
Wang, Hong-Yan; Xiao, Quan-Wu; Zhou, Ding-Xuan
10
2013
On grouping effect of elastic net. Zbl 1285.68145
Zhou, Ding-Xuan
9
2013
Density problem and approximation error in learning theory. Zbl 1470.68212
Zhou, Ding-Xuan
3
2013
Simultaneous approximation by Bernstein operators in Hölder norms. Zbl 1268.41011
Gonska, Heiner; Prestin, Jürgen; Tachev, Gancho; Zhou, Ding-Xuan
2
2013
Approximation analysis of learning algorithms for support vector regression and quantile regression. Zbl 1235.68206
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
13
2012
An empirical feature-based learning algorithm producing sparse approximations. Zbl 1319.62119
Guo, Xin; Zhou, Ding-Xuan
13
2012
Extinction probability of interacting branching collision processes. Zbl 1260.60179
Chen, Anyue; Li, Junping; Chen, Yiqing; Zhou, Dingxuan
6
2012
Online learning for quantile regression and support vector regression. Zbl 1348.62187
Hu, Ting; Xiang, Dao-Hong; Zhou, Ding-Xuan
3
2012
Convergence of spectral clustering with a general similarity function. Zbl 1488.68043
Gao, Wei; Zhou, Dingxuan
2
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
58
2011
Optimal learning rates for least squares regularized regression with unbounded sampling. Zbl 1217.65024
Wang, Cheng; Zhou, Ding-Xuan
39
2011
Learning with varying insensitive loss. Zbl 1228.62052
Xiang, Dao-Hong; Hu, Ting; Zhou, Ding-Xuan
10
2011
Learning by nonsymmetric kernels with data dependent spaces and \(\ell^1\)-regularizer. Zbl 1221.68204
Xiao, Quan-Wu; Zhou, Ding-Xuan
26
2010
Learning gradients on manifolds. Zbl 1200.62070
Mukherjee, Sayan; Wu, Qiang; Zhou, Ding-Xuan
15
2010
Moving least-square method in learning theory. Zbl 1202.68325
Wang, Hong-Yan; Xiang, Dao-Hong; Zhou, Ding-Xuan
8
2010
Hermite learning with gradient data. Zbl 1191.68532
Shi, Lei; Guo, Xin; Zhou, Ding-Xuan
4
2010
Online classification with varying Gaussians. Zbl 1179.62088
Hu, Ting; Zhou, Ding-Xuan
2
2010
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
77
2009
Geometry on probability spaces. Zbl 1187.68270
Smale, Steve; Zhou, Ding-Xuan
31
2009
Classification with Gaussians and convex loss. Zbl 1235.68207
Xiang, Dao-Hong; Zhou, Ding-Xuan
23
2009
SVM learning and \(L^{p}\) approximation by Gaussians on Riemannian manifolds. Zbl 1175.68346
Ye, Gui-Bo; Zhou, Ding-Xuan
9
2009
High order Parzen windows and randomized sampling. Zbl 1183.68514
Zhou, Xiang-Jun; Zhou, Ding-Xuan
9
2009
Online learning with samples drawn from non-identical distributions. Zbl 1235.68157
Hu, Ting; Zhou, Ding-Xuan
4
2009
Gradient learning in a classification setting by gradient descent. Zbl 1187.68381
Cai, Jia; Wang, Hongyan; Zhou, Ding-Xuan
2
2009
Learning with sample dependent hypothesis spaces. Zbl 1165.68388
Wu, Qiang; Zhou, Ding-Xuan
57
2008
Derivative reproducing properties for kernel methods in learning theory. Zbl 1152.68049
Zhou, Ding-Xuan
40
2008
Learning and approximation by Gaussians on Riemannian manifolds. Zbl 1156.68045
Ye, Gui-Bo; Zhou, Ding-Xuan
24
2008
Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels. Zbl 1153.46017
Sun, Hong-Wei; Zhou, Ding-Xuan
11
2008
Learning gradients by a gradient descent algorithm. Zbl 1142.68060
Dong, Xuemei; Zhou, Ding-Xuan
9
2008
Parzen windows for multi-class classification. Zbl 1178.68454
Pan, 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 1177.68114
1
2008
Learning theory. An approximation theory viewpoint. Zbl 1274.41001
Cucker, Felipe; Zhou, Ding Xuan
333
2007
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
247
2007
Multi-kernel regularized classifiers. Zbl 1171.65043
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
94
2007
Learnability of Gaussians with flexible variances. Zbl 1222.68339
Ying, Yiming; Zhou, Ding-Xuan
37
2007
Fully online classification by regularization. Zbl 1124.68099
Ye, Gui-Bo; Zhou, Ding-Xuan
19
2007
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
128
2006
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
45
2006
Online regularized classification algorithms. Zbl 1323.68450
Ying, Yiming; Zhou, Ding-Xuan
43
2006
Learning coordinate covariances via gradients. Zbl 1222.68270
Mukherjee, Sayan; Zhou, Ding-Xuan
37
2006
Analysis of support vector machine classification. Zbl 1098.68680
Wu, Qiang; Zhou, Ding-Xuan
17
2006
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
99
2005
SVM soft margin classifiers: linear programming versus quadratic programming. Zbl 1108.90324
Wu, Qiang; Zhou, Ding-Xuan
53
2005
Learning theory: from regression to classification. Zbl 1205.62084
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
2
2005
...and 59 more Documents
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Cited by 1,441 Authors

93 Zhou, Dingxuan
36 Chen, Dirong
30 Wu, Qiang
25 Sheng, Baohuai
25 Sun, Hongwei
24 Jørgensen, Palle E. T.
24 Shi, Lei
22 Guo, Zheng-Chu
22 Hu, Ting
22 Li, Song
21 Xiang, Dao-Hong
19 Rosasco, Lorenzo A.
18 Chen, Hong
18 Li, Luoqing
18 Lin, Shaobo
18 Tong, Hongzhi
17 Jia, Rong-Qing
17 Lv, Shaogao
16 Han, Bin
15 Feng, Yunlong
15 Ying, Yiming
15 Zou, Bin
14 Lei, Yunwen
14 Steinwart, Ingo
14 Suykens, Johan A. K.
14 Wang, Cheng
14 Xu, Zongben
13 Cao, Feilong
13 Fan, Jun
13 Sun, Qiyu
13 Xian, Jun
12 Guo, Xin
11 Lian, Heng
11 Ye, Peixin
10 De Vito, Ernesto
10 Jiang, Qingtang
10 Kim, Hark-Mahn
10 Lin, Junhong
10 Pillonetto, Gianluigi
9 Smale, Stephen
9 Zhang, Haizhang
8 Acu, Ana Maria
8 Cai, Jia
8 Costarelli, Danilo
8 Tian, James F.
8 Vinti, Gianluca
8 Yang, Jianbin
8 Yu, Dansheng
8 Zhang, Zhihua
7 Guo, Qin
7 Huang, XiaoLin
7 Jetter, Kurt
7 Kolomoitsev, Yurii S.
7 Li, Bingzheng
7 Menegatto, Valdir Antonio
7 Pereverzev, Sergei V.
7 Shen, Zuowei
7 Sivananthan, Sivalingam
7 Skopina, Maria A.
7 Wang, Jianli
7 Xie, Linsen
7 Xu, Jie
6 Charina, Maria
6 Chen, Heng
6 Cheng, Li
6 Chui, Charles Kam-tai
6 Conti, Costanza
6 He, Fangchao
6 Jiang, Yingchun
6 Mücke, Nicole
6 Mukherjee, Sayan
6 Patel, Dhiraj
6 Rassias, John Michael
6 Sun, Xingping
6 Tang, Yuanyan
6 Tian, Feng
6 Wu, Zongmin
6 Yang, Fenghong
6 Zhou, Xinlong
5 Berdysheva, Elena E.
5 Blanchard, Gilles
5 Cabrelli, Carlos A.
5 Caponnetto, Andrea
5 Christmann, Andreas
5 Dong, Xuemei
5 Fang, Qin
5 Griebel, Michael
5 Krivoshein, Aleksandr Vladimirovich
5 Li, Yunzhang
5 Pan, Zhibin
5 Peng, Lizhong
5 Rasa, Ioan
5 Rastogi, Abhishake
5 Villa, Silvia
5 Wang, Junhui
5 Wang, Shuhua
5 Xiao, Quanwu
5 Xu, Min
5 Yu, Zhan
5 Zeng, Jinshan
...and 1,341 more Authors
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Cited in 238 Serials

79 Applied and Computational Harmonic Analysis
74 Analysis and Applications (Singapore)
67 Journal of Approximation Theory
45 Journal of Machine Learning Research (JMLR)
44 Journal of Mathematical Analysis and Applications
43 Journal of Complexity
41 International Journal of Wavelets, Multiresolution and Information Processing
36 Advances in Computational Mathematics
28 Neural Networks
26 Neural Computation
22 Abstract and Applied Analysis
22 Acta Mathematica Sinica. English Series
21 Journal of Computational and Applied Mathematics
21 The Journal of Fourier Analysis and Applications
20 Mathematical Foundations of Computing
19 The Annals of Statistics
18 Electronic Journal of Statistics
15 Machine Learning
14 Automatica
14 Numerical Functional Analysis and Optimization
14 Foundations of Computational Mathematics
13 Proceedings of the American Mathematical Society
13 Constructive Approximation
13 Science China. Mathematics
12 Journal of Statistical Planning and Inference
11 Inverse Problems
11 Mathematics of Computation
11 Results in Mathematics
11 Applied Mathematics. Series B (English Edition)
11 Analysis in Theory and Applications
10 Journal of Multivariate Analysis
10 Journal of Inequalities and Applications
10 Communications on Pure and Applied Analysis
9 Applicable Analysis
9 Computers & Mathematics with Applications
9 Applied Mathematics and Computation
9 Science in China. Series A
8 Information Sciences
8 Journal of the American Statistical Association
7 Acta Applicandae Mathematicae
7 International Journal of Computer Mathematics
7 SIAM Journal on Scientific Computing
7 Frontiers of Mathematics in China
6 Mathematische Nachrichten
6 Computer Aided Geometric Design
6 Linear Algebra and its Applications
6 Computational Statistics and Data Analysis
5 Transactions of the American Mathematical Society
5 Statistics & Probability Letters
5 Statistica Sinica
5 Bernoulli
5 Positivity
5 SIAM Journal on Mathematics of Data Science
4 Mathematical Methods in the Applied Sciences
4 Acta Mathematica Hungarica
4 Physica D
4 Acta Mathematicae Applicatae Sinica. English Series
4 Journal of Scientific Computing
4 Computational Optimization and Applications
4 The ANZIAM Journal
4 Journal of Applied Mathematics
4 Journal of Computational and Graphical Statistics
4 Sampling Theory, Signal Processing, and Data Analysis
3 Journal of Computational Physics
3 Journal of Mathematical Physics
3 Metrika
3 Numerische Mathematik
3 SIAM Journal on Numerical Analysis
3 Numerical Algorithms
3 SIAM Journal on Optimization
3 Soft Computing
3 Journal of Systems Science and Complexity
3 Mediterranean Journal of Mathematics
3 Complex Analysis and Operator Theory
3 Statistics and Computing
3 Journal of Computational Dynamics
3 Statistical Theory and Related Fields
2 Analysis Mathematica
2 Journal of the Franklin Institute
2 Physica A
2 Chaos, Solitons and Fractals
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 BIT
2 Czechoslovak Mathematical Journal
2 Journal of Functional Analysis
2 Mathematics and Computers in Simulation
2 Zeitschrift für Analysis und ihre Anwendungen
2 Circuits, Systems, and Signal Processing
2 Chinese Annals of Mathematics. Series B
2 Applied Numerical Mathematics
2 Optimization
2 Journal of Theoretical Probability
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 SIAM Journal on Matrix Analysis and Applications
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Stochastic Processes and their Applications
2 Mathematical Programming. Series A. Series B
2 Journal of Mathematical Imaging and Vision
...and 138 more Serials
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Cited in 48 Fields

522 Computer science (68-XX)
430 Statistics (62-XX)
320 Approximations and expansions (41-XX)
258 Harmonic analysis on Euclidean spaces (42-XX)
233 Numerical analysis (65-XX)
184 Functional analysis (46-XX)
93 Probability theory and stochastic processes (60-XX)
93 Information and communication theory, circuits (94-XX)
83 Operator theory (47-XX)
79 Operations research, mathematical programming (90-XX)
44 Systems theory; control (93-XX)
35 Difference and functional equations (39-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
25 Partial differential equations (35-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Biology and other natural sciences (92-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
16 Real functions (26-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Integral equations (45-XX)
12 Combinatorics (05-XX)
12 Abstract harmonic analysis (43-XX)
11 Measure and integration (28-XX)
9 Ordinary differential equations (34-XX)
8 Special functions (33-XX)
7 Potential theory (31-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Number theory (11-XX)
5 Fluid mechanics (76-XX)
5 Quantum theory (81-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General and overarching topics; collections (00-XX)
4 Functions of a complex variable (30-XX)
4 Convex and discrete geometry (52-XX)
4 Algebraic topology (55-XX)
4 Mechanics of particles and systems (70-XX)
3 Topological groups, Lie groups (22-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of deformable solids (74-XX)
3 Optics, electromagnetic theory (78-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Geophysics (86-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Sequences, series, summability (40-XX)

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