Spatial Predictions on Physically Constrained Domains: Applications to Arctic Sea Salinity Data

  • Motivated by applications in point-referenced geostatistics that have measurements collected and meaningful only within a constrained domain.

  • Develop the Barrier Overlap-Removal Acyclic directed graph GP (BORA-GP), a scalable GP method that incorporates the constrained domain via sparsity-inducing DAGs.

  • Enable characterization of dependence in constrained domains by removing an edge in a DAG if a linear path between two points overlaps physical barriers.

  • Analyze sea surface salinity in the Arctic Ocean.