English

Multi-way Clustering and Discordance Analysis through Deep Collective Matrix Tri-Factorization

Machine Learning 2021-09-28 v1 Machine Learning

Abstract

Heterogeneous multi-typed, multimodal relational data is increasingly available in many domains and their exploratory analysis poses several challenges. We advance the state-of-the-art in neural unsupervised learning to analyze such data. We design the first neural method for collective matrix tri-factorization of arbitrary collections of matrices to perform spectral clustering of all constituent entities and learn cluster associations. Experiments on benchmark datasets demonstrate its efficacy over previous non-neural approaches. Leveraging signals from multi-way clustering and collective matrix completion we design a unique technique, called Discordance Analysis, to reveal information discrepancies across subsets of matrices in a collection with respect to two entities. We illustrate its utility in quality assessment of knowledge bases and in improving representation learning.

Keywords

Cite

@article{arxiv.2109.13164,
  title  = {Multi-way Clustering and Discordance Analysis through Deep Collective Matrix Tri-Factorization},
  author = {Ragunathan Mariappan and Vaibhav Rajan},
  journal= {arXiv preprint arXiv:2109.13164},
  year   = {2021}
}
R2 v1 2026-06-24T06:23:27.988Z