Scalable Bayesian Spatial Mixture Modelling for Remote Sensing Image Segmentation

Abstract

Accurate and scalable land cover classification is essential for global conservation monitoring and policy-making. While remote sensing images provide a cost-effective alternative to ground surveys, current methods often lack principled uncertainty quantification and require substantial labelled data, limiting their usability and reliability in new regions with distribution shifts. We propose a Bayesian spatial mixture modelling approach for image segmentation, extending the classical Potts model by allowing for a generalised spatial dependence structure and incorporating informative priors estimated from pre-existing labelled data. Our framework, called POTTERS (Potts Model for Enhanced Remote Sensing), enables robust uncertainty quantification, accounts for class interactions, and can detect new clusters in the target region of interest. Crucially, our model does not require labelled data from the target region; instead, it incorporates prior information about the labels from pre-existing externally labelled images. To ensure scalability to large remote sensing images, we develop an efficient variational inference algorithm for posterior approximation. We demonstrate the benefits of our approach in simulation studies and apply it to land cover classification in a case study in Scotland, leveraging publicly available remote sensing data from England.