Dr Arthur P. Guillaumin

Research

random fields, quasi likelihood, time series, probabilistic neural networks, whittle likelihood

Publications

Publications of specific relevance to the Centre for Probability, Statistics and Data Science

2026

Maximum-likelihood estimation of the Matérn covariance structure of isotropic spatial random fields on finite, sampled grids
Simons FJ Walbert OL Guillaumin AP Eggers GL Lewis KW Olhede SC
Geophysical Journal International, Oxford University Press (OUP) 

DOI 10.1093/gji/ggag044

28-01-2026

2024

Learning Machine Learning with Lorenz-96
Balwada D Abernathey R Acharya S Adcroft A Brener J Balaji V Bhouri MA Bruna J et al.
Journal of Open Source Education, The Open Journal vol. 7 (82) 

DOI 10.21105/jose.00241

01-12-2024

2022

The Debiased Spatial Whittle Likelihood
Guillaumin AP Sykulski AM Simons FJ
Journal of The Royal Statistical Society Series B Statistical Methodology, Oxford University Press (OUP) vol. 84 (4), 1526-1557.  

DOI 10.1111/rssb.12539

QMRO

20-07-2022

2021

Stochastic‐Deep Learning Parameterization of Ocean Momentum Forcing
Guillaumin AP
Journal of Advances in Modeling Earth Systems, American Geophysical Union (Agu) vol. 13 (9) 

DOI 10.1029/2021ms002534

01-09-2021

2019

The debiased Whittle likelihood
Sykulski AM Olhede SC Guillaumin AP Lilly JM
Biometrika, Oxford University Press (OUP) vol. 106 (2), 251-266.  

DOI 10.1093/biomet/asy071

13-02-2019

2017

Analysis of Non‐Stationary Modulated Time Series with Applications to Oceanographic Surface Flow Measurements
Guillaumin AP Sykulski AM Olhede SC Lilly JM
Journal of Time Series Analysis, Wiley vol. 38 (5), 668-710.  

DOI 10.1111/jtsa.12244

26-07-2017

Research Group

PhD Students

• Cheuk Yan Cliff Lo
  Efficient Spatio-Temporal Modelling and Interpolation of Global Sea Surface Height
• Ashna Mohammad
  Inference Following Selection and Testing Designs

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