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Stochastic Gradient MCMC for Massive Geostatistical Data: Appendix A.2: Additional Results

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Authors:

(1) Mohamed A. Abba, Department of Statistics, North Carolina State University;

(2) Brian J. Reich, Department of Statistics, North Carolina State University;

(3) Reetam Majumder, Southeast Climate Adaptation Science Center, North Carolina State University;

(4) Brandon Feng, Department of Statistics, North Carolina State University.

Table of Links

Abstract and 1 Introduction

1.1 Methods to handle large spatial datasets

1.2 Review of stochastic gradient methods

2 Matern Gaussian Process Model and its Approximations

2.1 The Vecchia approximation

3 The SG-MCMC Algorithm and 3.1 SG Langevin Dynamics

3.2 Derivation of gradients and Fisher information for SGRLD

4 Simulation Study and 4.1 Data generation

4.2 Competing methods and metrics

4.3 Results

5 Analysis of Global Ocean Temperature Data

6 Discussion, Acknowledgements, and References

Appendix A.1: Computational Details

Appendix A.2: Additional Results

Appendix A.2: Additional Results

Maximum likelihood estimates




The results in Table-7 show that the SGFS outperforms the other methods in terms of estimation error. Compared to GpGp, the stochastic methods take at most half the time while performing twenty times more iterations.


This paper is available on arxiv under CC BY 4.0 DEED license.


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