Intrinsic Whittle-Matérn Fields for Spatial Modeling
Research Paper#Spatial Statistics, Gaussian Processes, Extreme Value Theory🔬 Research|Analyzed: Jan 3, 2026 18:54•
Published: Dec 29, 2025 11:34
•1 min read
•ArXivAnalysis
This paper introduces a new class of flexible intrinsic Gaussian random fields (Whittle-Matérn) to address limitations in existing intrinsic models. It focuses on fast estimation, simulation, and application to kriging and spatial extreme value processes, offering efficient inference in high dimensions. The work's significance lies in its potential to improve spatial modeling, particularly in areas like environmental science and health studies, by providing more flexible and computationally efficient tools.
Key Takeaways
- •Introduces a new class of flexible intrinsic Whittle-Matérn Gaussian random fields.
- •Develops fast estimation and simulation methods using finite-element approximations.
- •Applies the methodology to kriging and spatial extreme value processes.
- •Demonstrates applicability in longitudinal renal function data and marine heat wave modeling.
Reference / Citation
View Original"The paper introduces the new flexible class of intrinsic Whittle--Matérn Gaussian random fields obtained as the solution to a stochastic partial differential equation (SPDE)."