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Rate-optimal estimation for a general class of nonparametric regression
  models with unknown link functions

Rate-optimal estimation for a general class of nonparametric regression models with unknown link functions

20 March 2008
J. Horowitz
E. Mammen
ArXiv (abs)PDFHTML

Papers citing "Rate-optimal estimation for a general class of nonparametric regression models with unknown link functions"

28 / 28 papers shown
Efficient optimization of expensive black-box simulators via marginal means, with application to neutrino detector design
Efficient optimization of expensive black-box simulators via marginal means, with application to neutrino detector design
Hwanwoo Kim
Simon Mak
Ann-Kathrin Schuetz
Alan Poon
209
1
0
03 Aug 2025
On the expressiveness and spectral bias of KANs
On the expressiveness and spectral bias of KANsInternational Conference on Learning Representations (ICLR), 2024
Yixuan Wang
Jonathan W. Siegel
Ziming Liu
Thomas Y. Hou
516
42
0
02 Oct 2024
KAN: Kolmogorov-Arnold Networks
KAN: Kolmogorov-Arnold Networks
Ziming Liu
Yixuan Wang
Sachin Vaidya
Fabian Ruehle
James Halverson
Marin Soljacic
Thomas Y. Hou
Max Tegmark
1.3K
1,543
0
30 Apr 2024
Analysis of the rate of convergence of an over-parametrized deep neural
  network estimate learned by gradient descent
Analysis of the rate of convergence of an over-parametrized deep neural network estimate learned by gradient descentIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2022
Michael Kohler
A. Krzyżak
271
12
0
04 Oct 2022
Estimating a regression function in exponential families by model
  selection
Estimating a regression function in exponential families by model selectionBernoulli (Bernoulli), 2022
Juntong Chen
211
4
0
13 Mar 2022
Rates of convergence for nonparametric estimation of singular
  distributions using generative adversarial networks
Rates of convergence for nonparametric estimation of singular distributions using generative adversarial networksJournal of the Korean Statistical Society (JKSS), 2022
Minwoo Chae
GAN
320
6
0
07 Feb 2022
Structural Sieves
Structural Sieves
Konrad Menzel
165
1
0
01 Dec 2021
Convergence rates of deep ReLU networks for multiclass classification
Convergence rates of deep ReLU networks for multiclass classification
Thijs Bos
Johannes Schmidt-Hieber
222
28
0
02 Aug 2021
Nonparametric Regression with Shallow Overparameterized Neural Networks Trained by GD with Early Stopping
Ilja Kuzborskij
Csaba Szepesvári
372
7
0
12 Jul 2021
Deep Quantile Regression: Mitigating the Curse of Dimensionality Through
  Composition
Deep Quantile Regression: Mitigating the Curse of Dimensionality Through Composition
Guohao Shen
Yuling Jiao
Yuanyuan Lin
J. Horowitz
Jian Huang
479
28
0
10 Jul 2021
A likelihood approach to nonparametric estimation of a singular
  distribution using deep generative models
A likelihood approach to nonparametric estimation of a singular distribution using deep generative modelsJournal of machine learning research (JMLR), 2021
Minwoo Chae
Dongha Kim
Yongdai Kim
Lizhen Lin
632
23
0
09 May 2021
Analysis of the rate of convergence of fully connected deep neural
  network regression estimates with smooth activation function
Analysis of the rate of convergence of fully connected deep neural network regression estimates with smooth activation function
S. Langer
94
23
0
12 Oct 2020
Causal Inference of General Treatment Effects using Neural Networks with
  A Diverging Number of Confounders
Causal Inference of General Treatment Effects using Neural Networks with A Diverging Number of ConfoundersJournal of Econometrics (J. Econometrics), 2020
Xiaohong Chen
Wenshu Fan
Shujie Ma
Zheng-Zhong Zhang
CML
612
16
0
15 Sep 2020
The Kolmogorov-Arnold representation theorem revisited
The Kolmogorov-Arnold representation theorem revisitedNeural Networks (NN), 2020
Johannes Schmidt-Hieber
353
265
0
31 Jul 2020
Structural adaptation in the density model
Structural adaptation in the density modelMathematical Statistics and Learning (MSL), 2020
Lepski O.V.
G. Rebelles
266
3
0
25 Feb 2020
Analysis of the rate of convergence of neural network regression
  estimates which are easy to implement
Analysis of the rate of convergence of neural network regression estimates which are easy to implement
Alina Braun
Michael Kohler
A. Krzyżak
265
1
0
09 Dec 2019
On the rate of convergence of a neural network regression estimate
  learned by gradient descent
On the rate of convergence of a neural network regression estimate learned by gradient descent
Alina Braun
Michael Kohler
Harro Walk
166
11
0
09 Dec 2019
Estimation of a function of low local dimensionality by deep neural
  networks
Estimation of a function of low local dimensionality by deep neural networks
Michael Kohler
A. Krzyżak
S. Langer
362
7
0
29 Aug 2019
On the rate of convergence of fully connected very deep neural network
  regression estimates
On the rate of convergence of fully connected very deep neural network regression estimates
Michael Kohler
S. Langer
272
40
0
29 Aug 2019
Deep ReLU network approximation of functions on a manifold
Deep ReLU network approximation of functions on a manifold
Johannes Schmidt-Hieber
297
112
0
02 Aug 2019
Nonparametric regression using deep neural networks with ReLU activation
  function
Nonparametric regression using deep neural networks with ReLU activation function
Johannes Schmidt-Hieber
825
978
0
22 Aug 2017
Multivariate Intensity Estimation via Hyperbolic Wavelet Selection
Multivariate Intensity Estimation via Hyperbolic Wavelet Selection
N. Akakpo
274
2
0
22 Nov 2016
Structural adaptive deconvolution under $L_p$-losses
Structural adaptive deconvolution under LpL_pLp​-losses
G. Rebelles
577
16
0
23 Apr 2015
Adaptive estimation over anisotropic functional classes via oracle
  approach
Adaptive estimation over anisotropic functional classes via oracle approach
O. Lepski
340
35
0
18 May 2014
Estimating composite functions by model selection
Estimating composite functions by model selection
Y. Baraud
Lucien Birgé
143
47
0
14 Feb 2011
Statistical inference for time-changed Lévy processes via composite
  characteristic function estimation
Statistical inference for time-changed Lévy processes via composite characteristic function estimation
Denis Belomestny
594
50
0
01 Mar 2010
Nonparametric estimation of composite functions
Nonparametric estimation of composite functions
A. Juditsky
O. Lepski
Alexandre B. Tsybakov
310
51
0
04 Jun 2009
Additive isotone regression
Additive isotone regression
E. Mammen
Kyusang Yu
527
44
0
06 Sep 2007
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