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Approximation analysis of CNNs from a feature extraction view.
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- Analysis & Applications, 2024, v. 22, n. 3, p. 635, doi. 10.1142/S0219530524500015
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Approximating functions with multi-features by deep convolutional neural networks.
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- Analysis & Applications, 2023, v. 21, n. 1, p. 93, doi. 10.1142/S0219530522400085
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- Article
Preface.
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- Analysis & Applications, 2016, v. 14, n. 6, p. v, doi. 10.1142/S0219530516020012
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- Article
Deep neural networks for rotation-invariance approximation and learning.
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- Analysis & Applications, 2019, v. 17, n. 5, p. 737, doi. 10.1142/S0219530519400074
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Deep distributed convolutional neural networks: Universality.
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- Analysis & Applications, 2018, v. 16, n. 6, p. 895, doi. 10.1142/S0219530518500124
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Thresholded spectral algorithms for sparse approximations.
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- Analysis & Applications, 2017, v. 15, n. 3, p. 433, doi. 10.1142/S0219530517500026
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- Article
Error bounds for learning the kernel.
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- Analysis & Applications, 2016, v. 14, n. 6, p. 849, doi. 10.1142/S0219530516400054
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- Article
Learning rates for the risk of kernel-based quantile regression estimators in additive models.
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- Analysis & Applications, 2016, v. 14, n. 3, p. 449, doi. 10.1142/S0219530515500050
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- Article
Regularization schemes for minimum error entropy principle.
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- Analysis & Applications, 2015, v. 13, n. 4, p. 437, doi. 10.1142/S0219530514500110
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- Article
Refinable Functions: Positivity and Interpolation.
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- Analysis & Applications, 2003, v. 1, n. 3, p. 243, doi. 10.1142/S0219530503000181
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- Article
Estimating the Approximation Error in Learning Theory.
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- Analysis & Applications, 2003, v. 1, n. 1, p. 17, doi. 10.1142/S0219530503000089
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Approximation Analysis of Learning Algorithms for Support Vector Regression and Quantile Regression.
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- Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/902139
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- Article
Federated learning for minimizing nonsmooth convex loss functions.
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- Mathematical Foundations of Computing, 2023, v. 6, n. 4, p. 1, doi. 10.3934/mfc.2023026
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- Article
Galerkin Spectral Method of Stochastic Partial Differential Equations Driven by Multivariate Poisson Measure.
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- Journal of Mathematics, 2024, v. 2024, p. 1, doi. 10.1155/2024/9945531
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- Article
Concentration estimates for learning with unbounded sampling.
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- Advances in Computational Mathematics, 2013, v. 38, n. 1, p. 207, doi. 10.1007/s10444-011-9238-8
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- Article
High order Parzen windows and randomized sampling.
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- Advances in Computational Mathematics, 2009, v. 31, n. 4, p. 349, doi. 10.1007/s10444-008-9073-8
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- Article
Simultaneous approximation by Bernstein operators in Hölder norms.
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- Mathematische Nachrichten, 2013, v. 286, n. 4, p. 349, doi. 10.1002/mana.201100284
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- Article
A Fourth‐Order Fuzzy Support Vector Machine Based on Class Center.
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- Journal of Mathematics, 2024, v. 2024, p. 1, doi. 10.1155/2024/7905632
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- Article
Preface to the special issue on analysis in machine learning and data science.
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- Communications on Pure & Applied Analysis, 2020, v. 19, n. 8, p. i-iii, doi. 10.3934/cpaa.2020171
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- Article
Modified Fejér sequences and applications.
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- Computational Optimization & Applications, 2018, v. 71, n. 1, p. 95, doi. 10.1007/s10589-017-9962-1
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- Article
Radial Basis Function Approximation with Distributively Stored Data on Spheres.
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- Constructive Approximation, 2024, v. 60, n. 1, p. 1, doi. 10.1007/s00365-023-09649-x
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Distributed Kernel-Based Gradient Descent Algorithms.
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- Constructive Approximation, 2018, v. 47, n. 2, p. 249, doi. 10.1007/s00365-017-9379-1
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- Article
Deep learning theory of distribution regression with CNNs.
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- Advances in Computational Mathematics, 2023, v. 49, n. 4, p. 1, doi. 10.1007/s10444-023-10054-y
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- Article
Approximation of functions from Korobov spaces by deep convolutional neural networks.
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- Advances in Computational Mathematics, 2022, v. 48, n. 6, p. 1, doi. 10.1007/s10444-022-09991-x
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- Article
Online regularized learning with pairwise loss functions.
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- Advances in Computational Mathematics, 2017, v. 43, n. 1, p. 127, doi. 10.1007/s10444-016-9479-7
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- Article
Normal estimation on manifolds by gradient learning.
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- Numerical Linear Algebra with Applications, 2011, v. 18, n. 2, p. 249, doi. 10.1002/nla.722
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- Article