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arXiv cs.LGAugust 18, 2026

A Deep Learning Model for Spatially Clustered Data via Differentiable Cluster Assignment

Excerpt

arXiv:2608.14968v1 Announce Type: cross Abstract: We consider nonparametric regression when the association between a response and its covariates changes across an unknown partition of a spatial domain. The proposed estimator learns the partition and the cluster-specific regression functions jointly. A neural network depending only on location determines cluster membership, while separate neural networks describe the covariate--response relationship within the clusters. An annealed softmax relax