Asymptotic Bounds for Smoothness Parameter Estimates in Gaussian Process Interpolation (Q6062242)

scientific article; zbMATH DE number 7772687

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English	Asymptotic Bounds for Smoothness Parameter Estimates in Gaussian Process Interpolation	scientific article; zbMATH DE number 7772687

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instance of

scholarly article

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title

Asymptotic Bounds for Smoothness Parameter Estimates in Gaussian Process Interpolation (English)

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author

Toni Karvonen

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published in

SIAM/ASA Journal on Uncertainty Quantification

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publication date

30 November 2023

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full work available at URL

https://arxiv.org/abs/2203.05400

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zbMATH Keywords

Gaussian processes

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parameter estimation

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Matérn covariance

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reproducing kernel Hilbert spaces

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fixed-domain asymptotics

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MaRDI profile type

MaRDI publication profile

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cites work

On the consistent separation of scale and variance for Gaussian random fields

0 references

An extension of a bound for functions in Sobolev spaces, with applications to \((m, s)\)-spline interpolation and smoothing

0 references

Cross validation and maximum likelihood estimations of hyper-parameters of Gaussian processes with model misspecification

0 references

Cross-validation estimation of covariance parameters under fixed-domain asymptotics

0 references

Q5488485

0 references

Probabilistic integration: a role in statistical computation?

0 references

Convergence rates of efficient global optimization algorithms

0 references

Honest adaptive confidence bands and self-similar functions

0 references

An adaptation theory for nonparametric confidence intervals

0 references

Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation

0 references

The reproducing kernel Hilbert space structure of the sample paths of a Gaussian process

0 references

On the marginal likelihood and cross-validation

0 references

Confidence bands in density estimation

0 references

Mathematical Foundations of Infinite-Dimensional Statistical Models

0 references

Detection of Random Signals in Dependent Gaussian Noise

0 references

Can We Trust Bayesian Uncertainty Quantification from Gaussian Process Priors with Squared Exponential Covariance Kernel?

0 references

Approximation Theory and Algorithms for Data Analysis

0 references

Small sample spaces for Gaussian processes

0 references

Maximum Likelihood Estimation and Uncertainty Quantification for Gaussian Process Approximation of Deterministic Functions

0 references

A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines

0 references

Bayes procedures for adaptive inference in inverse problems for the white noise model

0 references

Recovery of Sobolev functions restricted to iid sampling

0 references

Fixed-domain asymptotics for a subclass of Matérn-type Gaussian random fields

0 references

Estimating the smoothness of a Gaussian random field from irregularly spaced data via higher-order quadratic variations

0 references

Estimating the parameters of some common Gaussian random fields with nugget under fixed-domain asymptotics

0 references

On fixed-domain asymptotics, parameter estimation and isotropic Gaussian random fields with Matérn covariance functions

0 references

On nonparametric confidence intervals

0 references

Stochastic processes with sample paths in reproducing kernel Hilbert spaces

0 references

Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions

0 references

A sharp adaptive confidence ball for self-similar functions

0 references

Deterministic and stochastic error bounds in numerical analysis

0 references

Function spaces in Lipschitz domains and optimal rates of convergence for sampling

0 references

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

0 references

Adaptive confidence interval for pointwise curve estimation.

0 references

Q3394879

0 references

Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning

0 references

Adaptive nonparametric confidence sets

0 references

Design and analysis of computer experiments. With comments and a rejoinder by the authors

0 references

Superconvergence of kernel-based interpolation

0 references

Regularity of the sample paths of a general second order random field

0 references

Interpolation of spatial data – A stochastic or a deterministic problem?

0 references

Q5607484

0 references

Interpolation of spatial data. Some theory for kriging

0 references

Convergence types and rates in generic Karhunen-Loève expansions with applications to sample path properties

0 references

Support Vector Machines

0 references

Posterior consistency for Gaussian process approximations of Bayesian posterior distributions

0 references

Asymptotic behaviour of the empirical Bayes posteriors associated to maximum marginal likelihood estimator

0 references

Empirical Bayes scaling of Gaussian priors in the white noise model

0 references

Frequentist coverage of adaptive nonparametric Bayesian credible sets

0 references

On the Improved Rates of Convergence for Matérn-Type Kernel Ridge Regression with Application to Calibration of Computer Models

0 references

Q5396672

0 references

Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth

0 references

On Prediction Properties of Kriging: Uniform Error Bounds and Robustness

0 references

Scattered Data Approximation

0 references

Approximate interpolation with applications to selecting smoothing parameters

0 references

Q4999099

0 references

Maximum Likelihood Estimation for a Smooth Gaussian Random Field Model

0 references

Examples of inconsistency in optimization by expected improvement

0 references

Asymptotic properties of a maximum likelihood estimator with data from a Gaussian process

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mardi Publication:6062242