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Optimal Rates For Regularization Of Statistical Inverse Learning
  Problems

Optimal Rates For Regularization Of Statistical Inverse Learning Problems

14 April 2016
Gilles Blanchard
Nicole Mücke
ArXiv (abs)PDFHTML

Papers citing "Optimal Rates For Regularization Of Statistical Inverse Learning Problems"

50 / 98 papers shown
Title
Learning Curves of Stochastic Gradient Descent in Kernel Regression
Learning Curves of Stochastic Gradient Descent in Kernel Regression
Haihan Zhang
Weicheng Lin
Yuanshi Liu
Cong Fang
40
0
0
28 May 2025
Regularized least squares learning with heavy-tailed noise is minimax optimal
Regularized least squares learning with heavy-tailed noise is minimax optimal
Mattes Mollenhauer
Nicole Mücke
Dimitri Meunier
Arthur Gretton
91
0
0
20 May 2025
Sobolev norm inconsistency of kernel interpolation
Sobolev norm inconsistency of kernel interpolation
Yunfei Yang
113
0
0
29 Apr 2025
A Lipschitz spaces view of infinitely wide shallow neural networks
A Lipschitz spaces view of infinitely wide shallow neural networks
Francesca Bartolucci
Marcello Carioni
José A. Iglesias
Yury Korolev
Emanuele Naldi
Stefano Vigogna
112
1
0
18 Oct 2024
Diffusion-based Semi-supervised Spectral Algorithm for Regression on
  Manifolds
Diffusion-based Semi-supervised Spectral Algorithm for Regression on Manifolds
Weichun Xia
Jiaxin Jiang
Lei Shi
54
0
0
18 Oct 2024
Distributed Learning with Discretely Observed Functional Data
Distributed Learning with Discretely Observed Functional Data
Jiading Liu
Lei Shi
58
0
0
03 Oct 2024
Gaussian kernel expansion with basis functions uniformly bounded in
  $\mathcal{L}_{\infty}$
Gaussian kernel expansion with basis functions uniformly bounded in L∞\mathcal{L}_{\infty}L∞​
M. Bisiacco
G. Pillonetto
64
0
0
02 Oct 2024
Optimal Rates for Vector-Valued Spectral Regularization Learning
  Algorithms
Optimal Rates for Vector-Valued Spectral Regularization Learning Algorithms
Dimitri Meunier
Zikai Shen
Mattes Mollenhauer
Arthur Gretton
Zhu Li
127
5
0
23 May 2024
On the Saturation Effect of Kernel Ridge Regression
On the Saturation Effect of Kernel Ridge Regression
Yicheng Li
Haobo Zhang
Qian Lin
164
21
0
15 May 2024
Improve Generalization Ability of Deep Wide Residual Network with A
  Suitable Scaling Factor
Improve Generalization Ability of Deep Wide Residual Network with A Suitable Scaling Factor
Songtao Tian
Zixiong Yu
50
1
0
07 Mar 2024
Spectral Algorithms on Manifolds through Diffusion
Spectral Algorithms on Manifolds through Diffusion
Weichun Xia
Lei Shi
49
1
0
06 Mar 2024
Overcoming Saturation in Density Ratio Estimation by Iterated
  Regularization
Overcoming Saturation in Density Ratio Estimation by Iterated Regularization
Lukas Gruber
Markus Holzleitner
Johannes Lehner
Sepp Hochreiter
Werner Zellinger
119
2
0
21 Feb 2024
Early stopping by correlating online indicators in neural networks
Early stopping by correlating online indicators in neural networks
M. Ferro
V. Darriba
Francisco J. Ribadas Pena
Jesús Vilares
48
9
0
04 Feb 2024
Generalization Error Curves for Analytic Spectral Algorithms under
  Power-law Decay
Generalization Error Curves for Analytic Spectral Algorithms under Power-law Decay
Yicheng Li
Weiye Gan
Zuoqiang Shi
Qian Lin
65
6
0
03 Jan 2024
Statistical inverse learning problems with random observations
Statistical inverse learning problems with random observations
Abhishake
T. Helin
Nicole Mucke
66
1
0
23 Dec 2023
Learned reconstruction methods for inverse problems: sample error
  estimates
Learned reconstruction methods for inverse problems: sample error estimates
Luca Ratti
62
0
0
21 Dec 2023
Towards Optimal Sobolev Norm Rates for the Vector-Valued Regularized
  Least-Squares Algorithm
Towards Optimal Sobolev Norm Rates for the Vector-Valued Regularized Least-Squares Algorithm
Zhu Li
Dimitri Meunier
Mattes Mollenhauer
Arthur Gretton
143
8
0
12 Dec 2023
Adaptive Parameter Selection for Kernel Ridge Regression
Adaptive Parameter Selection for Kernel Ridge Regression
Shao-Bo Lin
26
3
0
10 Dec 2023
A statistical perspective on algorithm unrolling models for inverse
  problems
A statistical perspective on algorithm unrolling models for inverse problems
Yves Atchadé
Xinru Liu
Qiuyun Zhu
55
0
0
10 Nov 2023
Improved Convergence Rate of Nested Simulation with LSE on Sieve
Improved Convergence Rate of Nested Simulation with LSE on Sieve
Ruoxue Liu
Liang Ding
Wei Cao
Lu Zou
40
0
0
18 Oct 2023
Kernel-based function learning in dynamic and non stationary
  environments
Kernel-based function learning in dynamic and non stationary environments
Alberto Giaretta
M. Bisiacco
G. Pillonetto
21
2
0
04 Oct 2023
How many Neurons do we need? A refined Analysis for Shallow Networks
  trained with Gradient Descent
How many Neurons do we need? A refined Analysis for Shallow Networks trained with Gradient Descent
Mike Nguyen
Nicole Mücke
MLT
84
6
0
14 Sep 2023
Random feature approximation for general spectral methods
Random feature approximation for general spectral methods
Mike Nguyen
Nicole Mücke
60
1
0
29 Aug 2023
Adaptive learning of density ratios in RKHS
Adaptive learning of density ratios in RKHS
Werner Zellinger
S. Kindermann
S. Pereverzyev
69
5
0
30 Jul 2023
Nonlinear Meta-Learning Can Guarantee Faster Rates
Nonlinear Meta-Learning Can Guarantee Faster Rates
Dimitri Meunier
Zhu Li
Arthur Gretton
Samory Kpotufe
180
7
0
20 Jul 2023
Local Risk Bounds for Statistical Aggregation
Local Risk Bounds for Statistical Aggregation
Jaouad Mourtada
Tomas Vavskevivcius
Nikita Zhivotovskiy
68
1
0
29 Jun 2023
Generalization Ability of Wide Residual Networks
Generalization Ability of Wide Residual Networks
Jianfa Lai
Zixiong Yu
Songtao Tian
Qian Lin
63
4
0
29 May 2023
On the Optimality of Misspecified Kernel Ridge Regression
On the Optimality of Misspecified Kernel Ridge Regression
Haobo Zhang
Yicheng Li
Weihao Lu
Qian Lin
122
14
0
12 May 2023
Random Smoothing Regularization in Kernel Gradient Descent Learning
Random Smoothing Regularization in Kernel Gradient Descent Learning
Liang Ding
Tianyang Hu
Jiahan Jiang
Donghao Li
Wei Cao
Yuan Yao
74
6
0
05 May 2023
Optimality of Robust Online Learning
Optimality of Robust Online Learning
Zheng-Chu Guo
A. Christmann
Lei Shi
58
10
0
20 Apr 2023
Kernel interpolation generalizes poorly
Kernel interpolation generalizes poorly
Yicheng Li
Haobo Zhang
Qian Lin
83
11
0
28 Mar 2023
On the Optimality of Misspecified Spectral Algorithms
On the Optimality of Misspecified Spectral Algorithms
Hao Zhang
Yicheng Li
Qian Lin
79
18
0
27 Mar 2023
Sketching with Spherical Designs for Noisy Data Fitting on Spheres
Sketching with Spherical Designs for Noisy Data Fitting on Spheres
Shao-Bo Lin
Di Wang
Ding-Xuan Zhou
57
2
0
08 Mar 2023
Generalization Ability of Wide Neural Networks on $\mathbb{R}$
Generalization Ability of Wide Neural Networks on R\mathbb{R}R
Jianfa Lai
Manyun Xu
Rui Chen
Qi-Rong Lin
92
23
0
12 Feb 2023
Statistical Learning with Sublinear Regret of Propagator Models
Statistical Learning with Sublinear Regret of Propagator Models
Eyal Neuman
Yufei Zhang
106
7
0
12 Jan 2023
A note on the prediction error of principal component regression in high
  dimensions
A note on the prediction error of principal component regression in high dimensions
L. Hucker
Martin Wahl
88
6
0
09 Dec 2022
Least squares approximations in linear statistical inverse learning
  problems
Least squares approximations in linear statistical inverse learning problems
T. Helin
45
2
0
22 Nov 2022
Statistical Optimality of Divide and Conquer Kernel-based Functional
  Linear Regression
Statistical Optimality of Divide and Conquer Kernel-based Functional Linear Regression
Jiading Liu
Lei Shi
92
12
0
20 Nov 2022
Learning linear operators: Infinite-dimensional regression as a
  well-behaved non-compact inverse problem
Learning linear operators: Infinite-dimensional regression as a well-behaved non-compact inverse problem
Mattes Mollenhauer
Nicole Mücke
T. Sullivan
96
26
0
16 Nov 2022
Importance Weighting Correction of Regularized Least-Squares for Covariate and Target Shifts
Davit Gogolashvili
OOD
63
1
0
18 Oct 2022
Statistical Inverse Problems in Hilbert Scales
Statistical Inverse Problems in Hilbert Scales
Abhishake Rastogi
33
3
0
28 Aug 2022
Optimal Rates for Regularized Conditional Mean Embedding Learning
Optimal Rates for Regularized Conditional Mean Embedding Learning
Zhu Li
Dimitri Meunier
Mattes Mollenhauer
Arthur Gretton
97
52
0
02 Aug 2022
Functional linear and single-index models: A unified approach via
  Gaussian Stein identity
Functional linear and single-index models: A unified approach via Gaussian Stein identity
Krishnakumar Balasubramanian
Hans-Georg Müller
Bharath K. Sriperumbudur
63
6
0
08 Jun 2022
Sobolev Acceleration and Statistical Optimality for Learning Elliptic
  Equations via Gradient Descent
Sobolev Acceleration and Statistical Optimality for Learning Elliptic Equations via Gradient Descent
Yiping Lu
Jose H. Blanchet
Lexing Ying
107
8
0
15 May 2022
Optimal Learning Rates for Regularized Least-Squares with a Fourier
  Capacity Condition
Optimal Learning Rates for Regularized Least-Squares with a Fourier Capacity Condition
Prem M. Talwai
D. Simchi-Levi
35
2
0
16 Apr 2022
An elementary analysis of ridge regression with random design
An elementary analysis of ridge regression with random design
Jaouad Mourtada
Lorenzo Rosasco
82
11
0
16 Mar 2022
On the Benefits of Large Learning Rates for Kernel Methods
On the Benefits of Large Learning Rates for Kernel Methods
Gaspard Beugnot
Julien Mairal
Alessandro Rudi
82
11
0
28 Feb 2022
Smooth Nested Simulation: Bridging Cubic and Square Root Convergence
  Rates in High Dimensions
Smooth Nested Simulation: Bridging Cubic and Square Root Convergence Rates in High Dimensions
Wei Cao
Yanyuan Wang
Xiaowei Zhang
46
5
0
09 Jan 2022
Shearlet-based regularization in statistical inverse learning with an
  application to X-ray tomography
Shearlet-based regularization in statistical inverse learning with an application to X-ray tomography
T. Bubba
Luca Ratti
59
3
0
23 Dec 2021
Learning curves for Gaussian process regression with power-law priors
  and targets
Learning curves for Gaussian process regression with power-law priors and targets
Hui Jin
P. Banerjee
Guido Montúfar
72
18
0
23 Oct 2021
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