A Simultanious Spectral Clustering for Three-Way Data

We introduce a novel approach to spectral clustering for three-way data, which integrates simultaneous dimensionality reduction and clustering. While con- ventional spectral clustering methods focus on two-way data and treat dimension- ality reduction and clustering separately, our proposed method extends to handle three-way data, capturing temporal repetition and multivariate interactions. This is the first method, which tackles this challenge purely through statistical techniques.