Finite Element Representations of Gaussian Processes: Balancing Numerical and Statistical Accuracy

6 September 2021

Papers citing "Finite Element Representations of Gaussian Processes: Balancing Numerical and Statistical Accuracy"

18 / 18 papers shown

Title
Correlation-based sparse inverse Cholesky factorization for fast Gaussian-process inference Myeong K. Kang Matthias Katzfuss 43 24 0 29 Dec 2021
Efficient reduced-rank methods for Gaussian processes with eigenfunction expansions P. Greengard M. O’Neil 44 10 0 12 Aug 2021
Unlabeled Data Help in Graph-Based Semi-Supervised Learning: A Bayesian Nonparametrics Perspective D. Sanz-Alonso Ruiyi Yang SSL 34 9 0 26 Aug 2020
Sparse Cholesky factorization by Kullback-Leibler minimization Florian Schäfer Matthias Katzfuss H. Owhadi 55 94 0 29 Apr 2020
The SPDE Approach to Matérn Fields: Graph Representations D. Sanz-Alonso Ruiyi Yang 29 18 0 16 Apr 2020
Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem M. Giordano Richard Nickl 60 59 0 16 Oct 2019
Convergence rates for Penalised Least Squares Estimators in PDE-constrained regression problems Richard Nickl Sara van de Geer Sven Wang 34 60 0 24 Sep 2018
Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields U. Khristenko L. Scarabosio P. Swierczynski E. Ullmann B. Wohlmuth 30 44 0 20 Sep 2018
On the Consistency of Graph-based Bayesian Learning and the Scalability of Sampling Algorithms Nicolas García Trillos Zachary T. Kaplan Thabo Samakhoana D. Sanz-Alonso 39 19 0 20 Oct 2017
A general framework for Vecchia approximations of Gaussian processes Matthias Katzfuss J. Guinness 42 258 0 21 Aug 2017
$Numerical solution of fractional elliptic stochastic PDEs with spatial white noise$ Numerical solution of fractional elliptic stochastic PDEs with spatial white noise David Bolin Kristin Kirchner M. Kovács 57 76 0 18 May 2017
Dimension-independent likelihood-informed MCMC Tiangang Cui K. Law Youssef M. Marzouk 49 198 0 13 Nov 2014
Hilbert Space Methods for Reduced-Rank Gaussian Process Regression Arno Solin Simo Särkkä 174 217 0 21 Jan 2014
Thomas Bayes' walk on manifolds I. Castillo G. Kerkyacharian D. Picard 288 46 0 03 Jun 2012
MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster S. Cotter Gareth O. Roberts Andrew M. Stuart D. White 97 479 0 03 Feb 2012
Fixed-domain asymptotic properties of tapered maximum likelihood estimators Juan Du Hao Zhang V. Mandrekar 90 148 0 02 Sep 2009
Rates of contraction of posterior distributions based on Gaussian process priors Van der Vaart V. Zanten 187 430 0 18 Jun 2008
Reproducing kernel Hilbert spaces of Gaussian priors Van der Vaart V. Zanten 90 224 0 21 May 2008