Author

David Bolin

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Preprint Oct 2026

Whittle--Mat\'ern metrics and isotropic Gaussian processes on compact metric graphs

Isotropic Gaussian processes on networks have a covariance that is a function of a distance between locations, but valid constructions have so far required graphs with Euclidean edges and the resistance metric. We introduce a one-parameter family of metrics $d_\kappa$, $\kappa\ge0$, on arbitrary compact metric graphs,...

David Bolin, Alexandre B. Simas · 0 citations

Preprint Sep 2026

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

A new bridge representation of Gaussian Whittle-Mat\'ern fields in the case of half-integer smoothness parameters, when the fields have Markov properties is developed, which decomposes the field into a finite-dimensional graph component and independent Whittle-Mat\'ern bridge processes on the individual edges.

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