A diffusion-based spatio-temporal extension of Gaussian Matérn fields

Inference from spatial processes (62M30) Random fields; image analysis (62M40) Applications of statistics to environmental and related topics (62P12) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

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An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
The Rational SPDE Approach for Gaussian Random Fields With General Smoothness
A general science-based framework for dynamical spatio-temporal models
Spatio-temporal modeling of particulate matter concentration through the SPDE approach
Penalising model component complexity: a principled, practical approach to constructing priors
A general framework for SPDE-based stationary random fields
The synchronized dynamics of time-varying networks
Scientific machine learning through physics-informed neural networks: where we are and what's next
Compression of climate simulations with a nonstationary global spatiotemporal SPDE model
An approximate fractional Gaussian noise model with \(\mathcal{O}(n)\) computational cost
Regularity of the sample paths of a general second order random field
Local scale invariance and robustness of proper scoring rules
Going off grid: computationally efficient inference for log-Gaussian Cox processes
Studies in the history of probability and statistics XLIX On the Matérn correlation family
Approximate Bayesian Inference for Latent Gaussian models by using Integrated Nested Laplace Approximations
Spatial Matérn Fields Driven by Non-Gaussian Noise
A Class of Convolution-Based Models for Spatio-Temporal Processes with Non-Separable Covariance Structure
Stationary space-time Gaussian fields and their time autoregressive representation
MODELS FOR TWO-DIMENSIONAL STATIONARY STOCHASTIC PROCESSES
Spline Interpolation and Smoothing on the Sphere
Handbook of Spatial Statistics
MARKOV RANDOM FIELDS AND STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Nonseparable, Stationary Covariance Functions for Space–Time Data
Classes of Nonseparable, Spatio-Temporal Stationary Covariance Functions
Spectral methods for nonstationary spatial processes
Fractional random fields associated with stochastic fractional heat equations
Stochastic Equations in Infinite Dimensions
Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA
Self-Exciting Point Process Modeling of Crime
A General Framework for Updating Belief Distributions
Stochastic Partial Differential Equation Based Modelling of Large Space–Time Data Sets
How accurate is Limber's equation?
Spectra of some self-exciting and mutually exciting point processes
Space–Time Covariance Functions
ON STATIONARY PROCESSES IN THE PLANE
A Mechanistic Model of Annual Sulfate Concentrations in the United States
Statistical Modeling for Spatio-Temporal Data From Stochastic Convection-Diffusion Processes
PhySR: physics-informed deep super-resolution for spatiotemporal data
A new avenue for Bayesian inference with INLA
Covariance–Based Rational Approximations of Fractional SPDEs for Computationally Efficient Bayesian Inference
30 years of space-time covariance functions
Spatial modeling with R-INLA: a review
Modern perspectives on statistics for spatio-temporal data
Approximation of Bayesian Hawkes process with \texttt{inlabru}