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Poster
Multi-Facet Clustering Variational Autoencoders
Fabian Falck · Haoting Zhang · Matthew Willetts · George Nicholson · Christopher Yau · Chris C Holmes
Work in deep clustering focuses on finding a single partition of data. However, high-dimensional data, such as images, typically feature multiple interesting characteristics one could cluster over. For example, images of objects against a background could be clustered over the shape of the object and separately by the colour of the background. In this paper, we introduce Multi-Facet Clustering Variational Autoencoders (MFCVAE), a novel class of variational autoencoders with a hierarchy of latent variables, each with a Mixture-of-Gaussians prior, that learns multiple clusterings simultaneously, and is trained fully unsupervised and end-to-end. MFCVAE uses a progressively-trained ladder architecture which leads to highly stable performance. We provide novel theoretical results for optimising the ELBO analytically with respect to the categorical variational posterior distribution, correcting earlier influential theoretical work. On image benchmarks, we demonstrate that our approach separates out and clusters over different aspects of the data in a disentangled manner. We also show other advantages of our model: the compositionality of its latent space and that it provides controlled generation of samples.
Author Information
Fabian Falck (University of Oxford)
Haoting Zhang (University of Cambridge)
Matthew Willetts (University College London)
George Nicholson (University of Oxford)
Christopher Yau (University of Manchester)
Chris C Holmes (University of Oxford)
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