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Sobolev Norm Learning Rates for Regularized Least-Squares Algorithm

Sobolev Norm Learning Rates for Regularized Least-Squares Algorithm

23 February 2017
Simon Fischer
Ingo Steinwart
ArXivPDFHTML

Papers citing "Sobolev Norm Learning Rates for Regularized Least-Squares Algorithm"

50 / 105 papers shown
Title
Sobolev norm inconsistency of kernel interpolation
Sobolev norm inconsistency of kernel interpolation
Yunfei Yang
34
0
0
29 Apr 2025
On the Saturation Effects of Spectral Algorithms in Large Dimensions
Weihao Lu
Haobo Zhang
Yicheng Li
Q. Lin
44
1
0
01 Mar 2025
Nested Expectations with Kernel Quadrature
Nested Expectations with Kernel Quadrature
Zonghao Chen
Masha Naslidnyk
F. Briol
36
0
0
25 Feb 2025
On strong posterior contraction rates for Besov-Laplace priors in the
  white noise model
On strong posterior contraction rates for Besov-Laplace priors in the white noise model
Emanuele Dolera
Stefano Favaro
Matteo Giordano
26
0
0
11 Nov 2024
A Simple Model of Inference Scaling Laws
A Simple Model of Inference Scaling Laws
Noam Levi
LRM
32
6
0
21 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
26
0
0
18 Oct 2024
Laplace Transform Based Low-Complexity Learning of Continuous Markov
  Semigroups
Laplace Transform Based Low-Complexity Learning of Continuous Markov Semigroups
Vladimir Kostic
Karim Lounici
Helene Halconruy
Timothée Devergne
P. Novelli
Massimiliano Pontil
36
0
0
18 Oct 2024
Which Spaces can be Embedded in $L_p$-type Reproducing Kernel Banach
  Space? A Characterization via Metric Entropy
Which Spaces can be Embedded in LpL_pLp​-type Reproducing Kernel Banach Space? A Characterization via Metric Entropy
Yiping Lu
Daozhe Lin
Qiang Du
39
0
0
14 Oct 2024
On the Impacts of the Random Initialization in the Neural Tangent Kernel
  Theory
On the Impacts of the Random Initialization in the Neural Tangent Kernel Theory
Guhan Chen
Yicheng Li
Qian Lin
AAML
38
1
0
08 Oct 2024
Distributed Learning with Discretely Observed Functional Data
Distributed Learning with Discretely Observed Functional Data
Jiading Liu
Lei Shi
20
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
20
0
0
02 Oct 2024
On the Pinsker bound of inner product kernel regression in large
  dimensions
On the Pinsker bound of inner product kernel regression in large dimensions
Weihao Lu
Jialin Ding
Haobo Zhang
Qian Lin
57
0
0
02 Sep 2024
Improving Adaptivity via Over-Parameterization in Sequence Models
Improving Adaptivity via Over-Parameterization in Sequence Models
Yicheng Li
Qian Lin
31
1
0
02 Sep 2024
Operator World Models for Reinforcement Learning
Operator World Models for Reinforcement Learning
P. Novelli
Marco Prattico
Massimiliano Pontil
C. Ciliberto
OffRL
42
0
0
28 Jun 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
51
5
0
23 May 2024
Learning the Infinitesimal Generator of Stochastic Diffusion Processes
Learning the Infinitesimal Generator of Stochastic Diffusion Processes
Vladimir Kostic
Karim Lounici
Helene Halconruy
Timothée Devergne
Massimiliano Pontil
DiffM
40
4
0
21 May 2024
On the Saturation Effect of Kernel Ridge Regression
On the Saturation Effect of Kernel Ridge Regression
Yicheng Li
Haobo Zhang
Qian Lin
25
19
0
15 May 2024
The phase diagram of kernel interpolation in large dimensions
The phase diagram of kernel interpolation in large dimensions
Haobo Zhang
Weihao Lu
Qian Lin
60
5
0
19 Apr 2024
On Safety in Safe Bayesian Optimization
On Safety in Safe Bayesian Optimization
Christian Fiedler
Johanna Menn
Lukas Kreisköther
Sebastian Trimpe
33
9
0
19 Mar 2024
On the Approximation of Kernel functions
On the Approximation of Kernel functions
Paul Dommel
Alois Pichler
31
0
0
11 Mar 2024
Asymptotic Theory for Linear Functionals of Kernel Ridge Regression
Asymptotic Theory for Linear Functionals of Kernel Ridge Regression
Rui Tuo
Lu Zou
29
0
0
07 Mar 2024
Spectral Algorithms on Manifolds through Diffusion
Spectral Algorithms on Manifolds through Diffusion
Weichun Xia
Lei Shi
23
1
0
06 Mar 2024
Smoothness Adaptive Hypothesis Transfer Learning
Smoothness Adaptive Hypothesis Transfer Learning
Haotian Lin
M. Reimherr
25
6
0
22 Feb 2024
Practical Kernel Tests of Conditional Independence
Practical Kernel Tests of Conditional Independence
Roman Pogodin
Antonin Schrab
Yazhe Li
Danica J. Sutherland
Arthur Gretton
38
5
0
20 Feb 2024
A Bound on the Maximal Marginal Degrees of Freedom
A Bound on the Maximal Marginal Degrees of Freedom
Paul Dommel
19
1
0
20 Feb 2024
The Optimality of Kernel Classifiers in Sobolev Space
The Optimality of Kernel Classifiers in Sobolev Space
Jianfa Lai
Zhifan Li
Dongming Huang
Qian Lin
27
1
0
02 Feb 2024
Spectrally Transformed Kernel Regression
Spectrally Transformed Kernel Regression
Runtian Zhai
Rattana Pukdee
Roger Jin
Maria-Florina Balcan
Pradeep Ravikumar
BDL
28
2
0
01 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
41
5
0
03 Jan 2024
Generalization in Kernel Regression Under Realistic Assumptions
Generalization in Kernel Regression Under Realistic Assumptions
Daniel Barzilai
Ohad Shamir
35
15
0
26 Dec 2023
Consistent Long-Term Forecasting of Ergodic Dynamical Systems
Consistent Long-Term Forecasting of Ergodic Dynamical Systems
Prune Inzerilli
Vladimir Kostic
Karim Lounici
P. Novelli
Massimiliano Pontil
18
4
0
20 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
39
6
0
12 Dec 2023
Adaptive Parameter Selection for Kernel Ridge Regression
Adaptive Parameter Selection for Kernel Ridge Regression
Shao-Bo Lin
11
3
0
10 Dec 2023
Efficient Numerical Integration in Reproducing Kernel Hilbert Spaces via
  Leverage Scores Sampling
Efficient Numerical Integration in Reproducing Kernel Hilbert Spaces via Leverage Scores Sampling
Antoine Chatalic
Nicolas Schreuder
Ernesto De Vito
Lorenzo Rosasco
27
3
0
22 Nov 2023
On the Asymptotic Learning Curves of Kernel Ridge Regression under
  Power-law Decay
On the Asymptotic Learning Curves of Kernel Ridge Regression under Power-law Decay
Yicheng Li
Hao Zhang
Qian Lin
35
12
0
23 Sep 2023
Adaptive Distributed Kernel Ridge Regression: A Feasible Distributed
  Learning Scheme for Data Silos
Adaptive Distributed Kernel Ridge Regression: A Feasible Distributed Learning Scheme for Data Silos
Di Wang
Xiaotong Liu
Shao-Bo Lin
Ding-Xuan Zhou
33
0
0
08 Sep 2023
Kernel Single Proxy Control for Deterministic Confounding
Kernel Single Proxy Control for Deterministic Confounding
Liyuan Xu
Arthur Gretton
CML
26
2
0
08 Aug 2023
Nonlinear Meta-Learning Can Guarantee Faster Rates
Nonlinear Meta-Learning Can Guarantee Faster Rates
Dimitri Meunier
Zhu Li
Arthur Gretton
Samory Kpotufe
27
6
0
20 Jul 2023
Estimating Koopman operators with sketching to provably learn large
  scale dynamical systems
Estimating Koopman operators with sketching to provably learn large scale dynamical systems
Giacomo Meanti
Antoine Chatalic
Vladimir Kostic
P. Novelli
Massimiliano Pontil
Lorenzo Rosasco
21
9
0
07 Jun 2023
How many samples are needed to leverage smoothness?
How many samples are needed to leverage smoothness?
Vivien A. Cabannes
Stefano Vigogna
8
2
0
25 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
47
13
0
12 May 2023
Supervised learning with probabilistic morphisms and kernel mean
  embeddings
Supervised learning with probabilistic morphisms and kernel mean embeddings
H. Lê
GAN
25
1
0
10 May 2023
On the Eigenvalue Decay Rates of a Class of Neural-Network Related
  Kernel Functions Defined on General Domains
On the Eigenvalue Decay Rates of a Class of Neural-Network Related Kernel Functions Defined on General Domains
Yicheng Li
Zixiong Yu
Y. Cotronis
Qian Lin
55
13
0
04 May 2023
Convergence and error analysis of PINNs
Convergence and error analysis of PINNs
Nathan Doumèche
Gérard Biau
D. Boyer
PINN
AI4CE
45
17
0
02 May 2023
Toward $L_\infty$-recovery of Nonlinear Functions: A Polynomial Sample
  Complexity Bound for Gaussian Random Fields
Toward L∞L_\inftyL∞​-recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fields
Kefan Dong
Tengyu Ma
43
4
0
29 Apr 2023
Augmented balancing weights as linear regression
Augmented balancing weights as linear regression
David Bruns-Smith
O. Dukes
Avi Feller
Elizabeth L. Ogburn
27
10
0
27 Apr 2023
Kernel interpolation generalizes poorly
Kernel interpolation generalizes poorly
Yicheng Li
Haobo Zhang
Qian Lin
42
11
0
28 Mar 2023
On the Connection between $L_p$ and Risk Consistency and its
  Implications on Regularized Kernel Methods
On the Connection between LpL_pLp​ and Risk Consistency and its Implications on Regularized Kernel Methods
Hannes Köhler
9
1
0
27 Mar 2023
On the Optimality of Misspecified Spectral Algorithms
On the Optimality of Misspecified Spectral Algorithms
Hao Zhang
Yicheng Li
Qian Lin
23
15
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
21
2
0
08 Mar 2023
Sketch In, Sketch Out: Accelerating both Learning and Inference for
  Structured Prediction with Kernels
Sketch In, Sketch Out: Accelerating both Learning and Inference for Structured Prediction with Kernels
T. Ahmad
Luc Brogat-Motte
Pierre Laforgue
Florence dÁlché-Buc
BDL
33
6
0
20 Feb 2023
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