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Author

David Bolin

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Preprint Sep 2026

A bridge representation of Gaussian Whittle-Mat\'ern fields on compact metric graphs

Gaussian Whittle-Mat\'ern fields form a flexible class of Gaussian processes on compact metric graphs, where spatial dependence is governed by the geometry and connectivity of the network through a fractional-order stochastic partial differential equation. This paper develops a new bridge representation of these fields...

David Bolin, Alexandre B. Simas, Jonas Wallin · 0 citations
Preprint Sep 2026

Gaussian Processes on Directed Metric Graphs

We introduce a statistical framework for Gaussian fields indexed at arbitrary edge locations on general compact directed metric graphs. The construction is based on a stochastic differential equation with a first-order operator and conditions at the vertices. We characterise well-posedness and identify the covariance r...

David Bolin, Alexandre de Bustamante Simas, E. Strandh et al. · 0 citations

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