Latent Tree Variational Autoencoder for Joint Representation Learning and Multidimensional Clustering.

Recently, deep learning based clustering methods are shown superior to traditional ones by jointly conducting representation learning and clustering. These methods rely on the assumptions that the number of clusters is known, and that there is one single partition over the data and all attributes define that partition. However, in real-world applications, prior knowledge of the number of clusters is usually unavailable and there are multiple ways to partition the data based on subsets of attributes. To resolve the issues, we propose latent tree variational autoencoder (LTVAE), which simultaneously performs representation learning and multidimensional clustering. LTVAE learns latent embeddings from data, discovers multi-facet clustering structures based on subsets of latent features, and automatically determines the number of clusters in each facet. Experiments show that the proposed method achieves state-of-the-art clustering performance and reals reasonable multifacet structures of the data.