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1

Distributed Kernel-Based Gradient Descent Algorithms

Lin, Shao-Bo, Zhou, Ding-Xuan

Journal:

Constructive Approximation

Year:

2017

Language:

english

File:

PDF, 645 KB

english, 2017

2

Construction of Neural Networks for Realization of Localized Deep Learning

Chui, Charles K., Lin, Shao-Bo, Zhou, Ding-Xuan

Journal:

Frontiers in Applied Mathematics and Statistics

Year:

2018

Language:

english

File:

PDF, 478 KB

english, 2018

3

Convergence of Subdivision Schemes Associated with Nonnegative Masks

Jia, Rong-Qing, Zhou, Ding-Xuan

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 339 KB

english, 2000

4

The Limits of Refinable Functions

Gilbert Strang and Ding-Xuan Zhou

Journal:

Transactions of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 1.27 MB

english, 2001

5

[Applied and Numerical Harmonic Analysis] Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science ||

Pesenson, Isaac, Le Gia, Quoc Thong, Mayeli, Azita, Mhaskar, Hrushikesh, Zhou, Ding-Xuan

Year:

2017

Language:

english

File:

PDF, 8.89 MB

english, 2017

6

Learning and approximation by Gaussians on Riemannian manifolds

Gui-Bo Ye, Ding-Xuan Zhou

Journal:

Advances in Computational Mathematics

Year:

2008

Language:

english

File:

PDF, 427 KB

english, 2008

7

Binomial Matrices

Geoff Boyd, Charles A. Micchelli, Gilbert Strang, Ding-Xuan Zhou

Journal:

Advances in Computational Mathematics

Year:

2001

Language:

english

File:

PDF, 116 KB

english, 2001

8

Capacity of reproducing kernel spaces in learning theory

Journal:

IEEE Transactions on Information Theory

Year:

2003

Language:

english

File:

PDF, 943 KB

english, 2003

9

Theory of deep convolutional neural networks: Downsampling

Zhou, Ding-Xuan

Journal:

Neural Networks

Year:

2020

File:

PDF, 496 KB

2020

10

The covering number in learning theory

Journal:

Journal of Complexity

Year:

2002

Language:

english

File:

PDF, 249 KB

english, 2002

11

Compactly supported wavelet bases for Sobolev spaces

Rong-Qing Jia, Jianzhong Wang, Ding-Xuan Zhou

Journal:

Applied and Computational Harmonic Analysis

Year:

2003

Language:

english

File:

PDF, 246 KB

english, 2003

12

Shannon sampling II: Connections to learning theory

Steve Smale, Ding-Xuan Zhou

Journal:

Applied and Computational Harmonic Analysis

Year:

2005

Language:

english

File:

PDF, 171 KB

english, 2005

13

Concentration estimates for learning with -regularizer and data dependent hypothesis spaces

Lei Shi, Yun-Long Feng, Ding-Xuan Zhou

Journal:

Applied and Computational Harmonic Analysis

Year:

2011

Language:

english

File:

PDF, 278 KB

english, 2011

14

Inhomogeneous refinement equations

Gilbert Strang, Ding-Xuan Zhou

Journal:

Journal of Fourier Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 642 KB

english, 1998

15

Reproducing Kernel Hilbert Spaces Associated with Analytic Translation-Invariant Mercer Kernels

Hong-Wei Sun, Ding-Xuan Zhou

Journal:

Journal of Fourier Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 352 KB

english, 2008

16

Learning Theory Estimates via Integral Operators and Their Approximations

Steve Smale, Ding-Xuan Zhou

Journal:

Constructive Approximation

Year:

2007

Language:

english

File:

PDF, 271 KB

english, 2007

17

Moving least-square method in learning theory

Hong-Yan Wang, Dao-Hong Xiang, Ding-Xuan Zhou

Journal:

Journal of Approximation Theory

Year:

2010

Language:

english

File:

PDF, 678 KB

english, 2010

18

Self-Similar Lattice Tilings and Subdivision Schemes

Zhou, Ding-Xuan

Journal:

SIAM Journal on Mathematical Analysis

Year:

2001

Language:

english

File:

PDF, 201 KB

english, 2001

19

Online learning for quantile regression and support vector regression

Ting Hu, Dao-Hong Xiang, Ding-Xuan Zhou

Journal:

Journal of Statistical Planning and Inference

Year:

2012

Language:

english

File:

PDF, 315 KB

english, 2012

20

SVM Soft Margin Classifiers: Linear Programming versus Quadratic Programming

Wu, Qiang, Zhou, Ding-Xuan

Journal:

Neural Computation

Year:

2005

Language:

english

File:

PDF, 176 KB

english, 2005

21

On grouping effect of elastic net

Zhou, Ding-Xuan

Journal:

Statistics & Probability Letters

Year:

2013

Language:

english

File:

PDF, 372 KB

english, 2013

22

Vector Subdivision Schemes and Multiple Wavelets

Rong-Qing Jia, S. D. Riemenschneider and Ding-Xuan Zhou

Journal:

Mathematics of Computation

Year:

1998

Language:

english

File:

PDF, 581 KB

english, 1998

23

10.1090/S0002-9947-01-02668-X

Strang, Gilbert, Zhou, Ding-Xuan

Journal:

Transactions of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 208 KB

english, 2001

24

Online Pairwise Learning Algorithms

Ying, Yiming, Zhou, Ding-Xuan

Journal:

Neural Computation

Year:

2016

Language:

english

File:

PDF, 674 KB

english, 2016

25

Vector subdivision schemes and multiple wavelets

Jia, Rong-Qing, Riemenschneider, S. D., Zhou, Ding-Xuan

Journal:

Mathematics of Computation

Year:

1998

Language:

english

File:

PDF, 463 KB

english, 1998

26

The Selected Works of Roderick S C Wong ((In 3 Volumes)) || A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds

Dai, Dan, Dai, Hui-Hui, Yang, Tong, Zhou, Ding-Xuan

Year:

2015

Language:

english

File:

PDF, 2.15 MB

english, 2015

27

The Selected Works of Roderick S C Wong ((In 3 Volumes)) || Uniform Asymptotic Expansions of Laguerre Polynomials

Dai, Dan, Dai, Hui-Hui, Yang, Tong, Zhou, Ding-Xuan

Year:

2015

Language:

english

File:

PDF, 2.97 MB

english, 2015

28

The Selected Works of Roderick S C Wong ((In 3 Volumes)) || Asymptotic Expansions for Second-Order Linear Difference Equations, II

Dai, Dan, Dai, Hui-Hui, Yang, Tong, Zhou, Ding-Xuan

Year:

2015

Language:

english

File:

PDF, 3.25 MB

english, 2015

29

The Selected Works of Roderick S C Wong ((In 3 Volumes)) || Exponential Asymptotics of the Mittag–Leffler Function

Dai, Dan, Dai, Hui-Hui, Yang, Tong, Zhou, Ding-Xuan

Year:

2015

Language:

english

File:

PDF, 245 KB

english, 2015

30

The Selected Works of Roderick S C Wong ((In 3 Volumes)) || Asymptotic expansions for second-order linear difference equations, II

Dai, Dan, Dai, Hui-Hui, Yang, Tong, Zhou, Ding-Xuan

Year:

2015

Language:

english

File:

PDF, 3.49 MB

english, 2015

31

[Applied and Numerical Harmonic Analysis] Frames and Other Bases in Abstract and Function Spaces ||

Pesenson, Isaac, Le Gia, Quoc Thong, Mayeli, Azita, Mhaskar, Hrushikesh, Zhou, Ding-Xuan

Year:

2017

Language:

english

File:

PDF, 7.33 MB

english, 2017

32

[Applied and Numerical Harmonic Analysis] Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science || Harmonic Analysis in Non-Euclidean Spaces: Theory and Application

Pesenson, Isaac, Le Gia, Quoc Thong, Mayeli, Azita, Mhaskar, Hrushikesh, Zhou, Ding-Xuan

Year:

2017

Language:

english

File:

PDF, 379 KB

english, 2017

33

[Applied and Numerical Harmonic Analysis] Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science || Stable Likelihood Computation for Gaussian Random Fields

Pesenson, Isaac, Le Gia, Quoc Thong, Mayeli, Azita, Mhaskar, Hrushikesh, Zhou, Ding-Xuan

Year:

2017

Language:

english

File:

PDF, 537 KB

english, 2017

34

Deep distributed convolutional neural networks: Universality

Zhou, Ding-Xuan

Journal:

Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 301 KB

english, 2018

35

Analysis of Singular Value Thresholding Algorithm for Matrix Completion

Lei, Yunwen, Zhou, Ding-Xuan

Journal:

Journal of Fourier Analysis and Applications

Year:

2019

Language:

english

File:

PDF, 421 KB

english, 2019

36

Deep neural networks for rotation-invariance approximation and learning

Chui, Charles K., Lin, Shao-Bo, Zhou, Ding-Xuan

Journal:

Analysis and Applications

Year:

2019

Language:

english

File:

PDF, 451 KB

english, 2019

37

Depth Selection for Deep ReLU Nets in Feature Extraction and Generalization

Han, Zhi, Yu, Siquan, Lin, Shao-Bo, Zhou, Ding-Xuan

Journal:

IEEE Transactions on Pattern Analysis and Machine Intelligence

Year:

2020

File:

PDF, 5.65 MB

2020

38

Realization of Spatial Sparseness by Deep ReLU Nets With Massive Data

Chui, Charles K., Lin, Shao-Bo, Zhang, Bo, Zhou, Ding-Xuan

Journal:

IEEE Transactions on Neural Networks and Learning Systems

Year:

2020

File:

PDF, 922 KB

2020

39

Normal estimation on manifolds by gradient learning

Lei Shi, Ding-Xuan Zhou

Journal:

Numerical Linear Algebra with Applications

Year:

2011

Language:

english

File:

PDF, 126 KB

english, 2011

40

Norms Concerning Subdivision Sequences and Their Applications in Wavelets

Journal:

Applied and Computational Harmonic Analysis

Year:

2001

Language:

english

File:

PDF, 173 KB

english, 2001

41

Extendibility of Rational Matrices

Journal:

Journal of Approximation Theory

Year:

1997

Language:

english

File:

PDF, 229 KB

english, 1997

42

Multiple Refinable Hermite Interpolants

Journal:

Journal of Approximation Theory

Year:

2000

Language:

english

File:

PDF, 215 KB

english, 2000

43

Box Splines with Rational Directions and Linear Diophantine Equations

Journal:

Journal of Mathematical Analysis and Applications

Year:

1996

Language:

english

File:

PDF, 133 KB

english, 1996

44

Lp-inverse theorems for beta operators

Journal:

Journal of Approximation Theory

Year:

1991

Language:

english

File:

PDF, 329 KB

english, 1991

45

On a conjecture of Z. Ditzian

Journal:

Journal of Approximation Theory

Year:

1992

Language:

english

File:

PDF, 207 KB

english, 1992

46

Fully online classification by regularization

Gui-Bo Ye, Ding-Xuan Zhou

Journal:

Applied and Computational Harmonic Analysis

Year:

2007

Language:

english

File:

PDF, 250 KB

english, 2007

47

Derivative reproducing properties for kernel methods in learning theory

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 175 KB

english, 2008

48

Learning with sample dependent hypothesis spaces

Qiang Wu, Ding-Xuan Zhou

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 695 KB

english, 2008

49

Gradient learning in a classification setting by gradient descent

Jia Cai, Hongyan Wang, Ding-Xuan Zhou

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 801 KB

english, 2009

50

Parzen windows for multi-class classification

Zhi-Wei Pan, Dao-Hong Xiang, Quan-Wu Xiao, Ding-Xuan Zhou

Journal:

Journal of Complexity

Year:

2008

Language:

english

File:

PDF, 669 KB

english, 2008