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Approximation beats concentration? An approximation view on inference
  with smooth radial kernels
v1v2 (latest)

Approximation beats concentration? An approximation view on inference with smooth radial kernels

10 January 2018
M. Belkin
ArXiv (abs)PDFHTML

Papers citing "Approximation beats concentration? An approximation view on inference with smooth radial kernels"

50 / 63 papers shown
A general technique for approximating high-dimensional empirical kernel matrices
A general technique for approximating high-dimensional empirical kernel matrices
Chiraag Kaushik
Justin Romberg
Vidya Muthukumar
113
0
0
05 Nov 2025
Bayesian Optimization over Bounded Domains with the Beta Product Kernel
Bayesian Optimization over Bounded Domains with the Beta Product KernelConference on Uncertainty in Artificial Intelligence (UAI), 2025
Huy Hoang Nguyen
Han Zhou
Matthew B. Blaschko
A. Tiulpin
153
0
0
19 Jun 2025
Turbocharging Gaussian Process Inference with Approximate Sketch-and-Project
Turbocharging Gaussian Process Inference with Approximate Sketch-and-Project
Pratik Rathore
Zachary Frangella
Sachin Garg
Shaghayegh Fazliani
Michał Dereziński
Madeleine Udell
349
2
0
19 May 2025
Sparse Nonparametric Contextual Bandits
Sparse Nonparametric Contextual Bandits
Hamish Flynn
Julia Olkhovskaya
Paul Rognon-Vael
335
0
0
20 Mar 2025
Koopman-Equivariant Gaussian ProcessesInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2025
Nicolas Hoischen
Max Beier
Armin Lederer
A. Capone
Roland Toth
Sandra Hirche
AI4TS
288
6
0
10 Feb 2025
Fast Second-Order Online Kernel Learning through Incremental Matrix Sketching and Decomposition
Fast Second-Order Online Kernel Learning through Incremental Matrix Sketching and DecompositionInternational Joint Conference on Artificial Intelligence (IJCAI), 2024
Dongxie Wen
Xiao Zhang
Zhewei Wei
Chenping Hou
Shuai Li
Weinan Zhang
185
1
0
15 Oct 2024
Have ASkotch: A Neat Solution for Large-scale Kernel Ridge Regression
Have ASkotch: A Neat Solution for Large-scale Kernel Ridge Regression
Pratik Rathore
Zachary Frangella
Madeleine Udell
Michał Dereziński
Madeleine Udell
307
0
0
14 Jul 2024
Regularized KL-Divergence for Well-Defined Function-Space Variational Inference in Bayesian neural networks
Regularized KL-Divergence for Well-Defined Function-Space Variational Inference in Bayesian neural networks
Tristan Cinquin
Kushagra Pandey
UQCVBDL
489
2
0
06 Jun 2024
Entrywise error bounds for low-rank approximations of kernel matrices
Entrywise error bounds for low-rank approximations of kernel matricesNeural Information Processing Systems (NeurIPS), 2024
Alexander Modell
255
0
0
23 May 2024
Tighter Confidence Bounds for Sequential Kernel Regression
Tighter Confidence Bounds for Sequential Kernel Regression
H. Flynn
David Reeb
216
5
0
19 Mar 2024
A Bound on the Maximal Marginal Degrees of Freedom
A Bound on the Maximal Marginal Degrees of Freedom
Paul Dommel
292
1
0
20 Feb 2024
Generalization in Kernel Regression Under Realistic Assumptions
Generalization in Kernel Regression Under Realistic Assumptions
Daniel Barzilai
Ohad Shamir
371
22
0
26 Dec 2023
Regret Optimality of GP-UCB
Regret Optimality of GP-UCB
Wenjia Wang
Xiaowei Zhang
Lu Zou
232
2
0
03 Dec 2023
Spatial Process Approximations: Assessing Their Necessity
Spatial Process Approximations: Assessing Their Necessity
Hao Zhang
97
2
0
06 Nov 2023
An Improved Uniform Convergence Bound with Fat-Shattering Dimension
An Improved Uniform Convergence Bound with Fat-Shattering DimensionInformation Processing Letters (IPL), 2023
Roberto Colomboni
Emmanuel Esposito
Andrea Paudice
158
2
0
13 Jul 2023
Stochastic Nonlinear Control via Finite-dimensional Spectral Dynamic Embedding
Stochastic Nonlinear Control via Finite-dimensional Spectral Dynamic EmbeddingIEEE Conference on Decision and Control (CDC), 2023
Zhaolin Ren
Tongzheng Ren
Haitong Ma
Na Li
Bo Dai
301
12
0
08 Apr 2023
Interpolation with the polynomial kernels
Interpolation with the polynomial kernels
G. Elefante
W. Erb
Francesco Marchetti
E. Perracchione
D. Poggiali
G. Santin
211
1
0
15 Dec 2022
Symphony in the Latent Space: Provably Integrating High-dimensional
  Techniques with Non-linear Machine Learning Models
Symphony in the Latent Space: Provably Integrating High-dimensional Techniques with Non-linear Machine Learning ModelsAAAI Conference on Artificial Intelligence (AAAI), 2022
Qiong Wu
Jian Li
Zhenming Liu
Jun Luo
Mihai Cucuringu
191
5
0
01 Dec 2022
Provably Reliable Large-Scale Sampling from Gaussian Processes
Provably Reliable Large-Scale Sampling from Gaussian Processes
Anthony Stephenson
Robert Allison
Edward O. Pyzer-Knapp
209
2
0
15 Nov 2022
Optimal plug-in Gaussian processes for modelling derivatives
Optimal plug-in Gaussian processes for modelling derivatives
Zejian Liu
Meng Li
270
6
0
20 Oct 2022
A general approximation lower bound in $L^p$ norm, with applications to
  feed-forward neural networks
A general approximation lower bound in LpL^pLp norm, with applications to feed-forward neural networksNeural Information Processing Systems (NeurIPS), 2022
El Mehdi Achour
Armand Foucault
Sébastien Gerchinovitz
Franccois Malgouyres
207
11
0
09 Jun 2022
Rigorous data-driven computation of spectral properties of Koopman
  operators for dynamical systems
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems
Matthew J. Colbrook
Alex Townsend
327
98
0
29 Nov 2021
Generalization Performance of Empirical Risk Minimization on
  Over-parameterized Deep ReLU Nets
Generalization Performance of Empirical Risk Minimization on Over-parameterized Deep ReLU NetsIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2021
Shao-Bo Lin
Yao Wang
Ding-Xuan Zhou
ODL
336
6
0
28 Nov 2021
Harmless interpolation in regression and classification with structured
  features
Harmless interpolation in regression and classification with structured featuresInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Andrew D. McRae
Santhosh Karnik
Mark A. Davenport
Vidya Muthukumar
322
15
0
09 Nov 2021
Dynamic Pricing and Demand Learning on a Large Network of Products: A
  PAC-Bayesian Approach
Dynamic Pricing and Demand Learning on a Large Network of Products: A PAC-Bayesian Approach
Bora Keskin
D. Simchi-Levi
Prem M. Talwai
255
1
0
01 Nov 2021
Learning to Forecast Dynamical Systems from Streaming Data
Learning to Forecast Dynamical Systems from Streaming Data
D. Giannakis
Amelia Henriksen
J. Tropp
Rachel A. Ward
AI4TS
189
20
0
20 Sep 2021
Learning Partial Differential Equations in Reproducing Kernel Hilbert
  Spaces
Learning Partial Differential Equations in Reproducing Kernel Hilbert SpacesJournal of machine learning research (JMLR), 2021
George Stepaniants
234
24
0
26 Aug 2021
Neural Contextual Bandits without Regret
Neural Contextual Bandits without Regret
Parnian Kassraie
Andreas Krause
OffRL
285
43
0
07 Jul 2021
Weighted Gaussian Process Bandits for Non-stationary Environments
Weighted Gaussian Process Bandits for Non-stationary Environments
Yuntian Deng
Xingyu Zhou
Baekjin Kim
Ambuj Tewari
Abhishek Gupta
Ness B. Shroff
260
29
0
06 Jul 2021
Shallow Representation is Deep: Learning Uncertainty-aware and
  Worst-case Random Feature Dynamics
Shallow Representation is Deep: Learning Uncertainty-aware and Worst-case Random Feature Dynamics
Diego Agudelo-España
Yassine Nemmour
Bernhard Schölkopf
Jia-Jie Zhu
OODBDL
94
0
0
24 Jun 2021
Fast Statistical Leverage Score Approximation in Kernel Ridge Regression
Fast Statistical Leverage Score Approximation in Kernel Ridge RegressionInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Yifan Chen
Yun Yang
156
17
0
09 Mar 2021
Adversarially Robust Kernel Smoothing
Adversarially Robust Kernel SmoothingInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Jia-Jie Zhu
Christina Kouridi
Yassine Nemmour
Bernhard Schölkopf
266
8
0
16 Feb 2021
On Information Gain and Regret Bounds in Gaussian Process Bandits
On Information Gain and Regret Bounds in Gaussian Process BanditsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2020
Sattar Vakili
Kia Khezeli
Victor Picheny
GP
476
155
0
15 Sep 2020
Kernel Interpolation of High Dimensional Scattered Data
Kernel Interpolation of High Dimensional Scattered DataSIAM Journal on Numerical Analysis (SINUM), 2020
Shao-Bo Lin
Xiangyu Chang
Xingping Sun
232
10
0
03 Sep 2020
Canonical thresholding for non-sparse high-dimensional linear regression
Canonical thresholding for non-sparse high-dimensional linear regressionAnnals of Statistics (Ann. Stat.), 2020
I. Silin
Jianqing Fan
166
6
0
24 Jul 2020
Spectral Bias and Task-Model Alignment Explain Generalization in Kernel
  Regression and Infinitely Wide Neural Networks
Spectral Bias and Task-Model Alignment Explain Generalization in Kernel Regression and Infinitely Wide Neural NetworksNature Communications (Nat Commun), 2020
Abdulkadir Canatar
Blake Bordelon
Cengiz Pehlevan
567
222
0
23 Jun 2020
Interpolation and Learning with Scale Dependent Kernels
Nicolò Pagliana
Alessandro Rudi
Ernesto De Vito
Lorenzo Rosasco
291
8
0
17 Jun 2020
Scalable Thompson Sampling using Sparse Gaussian Process Models
Scalable Thompson Sampling using Sparse Gaussian Process Models
Sattar Vakili
Henry B. Moss
A. Artemev
Vincent Dutordoir
Victor Picheny
392
35
0
09 Jun 2020
Lower bounds for invariant statistical models with applications to
  principal component analysis
Lower bounds for invariant statistical models with applications to principal component analysis
Martin Wahl
163
6
0
14 May 2020
Analyzing the discrepancy principle for kernelized spectral filter
  learning algorithms
Analyzing the discrepancy principle for kernelized spectral filter learning algorithmsJournal of machine learning research (JMLR), 2020
Alain Celisse
Martin Wahl
184
20
0
17 Apr 2020
Kernel Autocovariance Operators of Stationary Processes: Estimation and
  Convergence
Kernel Autocovariance Operators of Stationary Processes: Estimation and ConvergenceJournal of machine learning research (JMLR), 2020
Mattes Mollenhauer
Stefan Klus
Christof Schütte
P. Koltai
219
11
0
02 Apr 2020
Sample Complexity Result for Multi-category Classifiers of Bounded
  Variation
Sample Complexity Result for Multi-category Classifiers of Bounded Variation
Khadija Musayeva
188
2
0
20 Mar 2020
Convergence Guarantees for Gaussian Process Means With Misspecified
  Likelihoods and Smoothness
Convergence Guarantees for Gaussian Process Means With Misspecified Likelihoods and SmoothnessJournal of machine learning research (JMLR), 2020
George Wynne
F. Briol
Mark Girolami
378
68
0
29 Jan 2020
Towards Understanding the Spectral Bias of Deep Learning
Towards Understanding the Spectral Bias of Deep LearningInternational Joint Conference on Artificial Intelligence (IJCAI), 2019
Yuan Cao
Zhiying Fang
Yue Wu
Ding-Xuan Zhou
Quanquan Gu
455
266
0
03 Dec 2019
On the perturbation series for eigenvalues and eigenprojections
On the perturbation series for eigenvalues and eigenprojections
Martin Wahl
154
10
0
18 Oct 2019
High-probability bounds for the reconstruction error of PCA
High-probability bounds for the reconstruction error of PCAStatistics and Probability Letters (Stat. Probab. Lett.), 2019
Cassandra Milbradt
Martin Wahl
151
10
0
24 Sep 2019
On identifiability and consistency of the nugget in Gaussian spatial
  process models
On identifiability and consistency of the nugget in Gaussian spatial process models
Wenpin Tang
Lu Zhang
Sudipto Banerjee
400
41
0
15 Aug 2019
Benign Overfitting in Linear Regression
Benign Overfitting in Linear RegressionProceedings of the National Academy of Sciences of the United States of America (PNAS), 2019
Peter L. Bartlett
Philip M. Long
Gábor Lugosi
Alexander Tsigler
MLT
405
853
0
26 Jun 2019
Nyström landmark sampling and regularized Christoffel functions
Nyström landmark sampling and regularized Christoffel functionsMachine-mediated learning (ML), 2019
Michaël Fanuel
J. Schreurs
Johan A. K. Suykens
284
14
0
29 May 2019
Analyzing Data Selection Techniques with Tools from the Theory of
  Information Losses
Analyzing Data Selection Techniques with Tools from the Theory of Information Losses
Brandon Foggo
N. Yu
178
2
0
25 Feb 2019
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