arXiv Machine Learning

Kronecker-Structured Nonparametric Spatiotemporal Point Processes

arXiv:2603. 23746v2 Announce Type: replace Abstract: Events in spatiotemporal domains arise in numerous real-world applications, where uncovering event relationships and enabling accurate prediction are central challenges.

arXiv Machine Learning
Sep 23

Spatiotemporal Kronecker Covariance Neural Networks

The paper introduces the Kronecker coVariance Neural Network (KVNN), a temporal graph neural network that models spatiotemporal covariance matrices as sums of Kronecker products, decoupling spatial and temporal dependencies. KVNNs perform filtering on spatial and temporal components, enabling expressive processing, rigorous spectral analysis, and provable stability to finite-sample estimation errors. Experiments on five real-world datasets show that KVNNs deliver strong forecasting performance with fewer trainable parameters than competing methods and maintain consistency under estimation noise.

By Andrea Cavallo, Athanasios Georgoutsos, Elvin Isufi