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arXiv 2006.08777stat.MLcs.LG

Ordering Dimensions with Nested Dropout Normalizing Flows

University of Edinburgh(爱丁堡大学)

Artur Bekasov, Iain Murray

英文摘要:

The latent space of normalizing flows must be of the same dimensionality as their output space. This constraint presents a problem if we want to learn low-dimensional, semantically meaningful representations. Recent work has provided compact representations by fitting flows constrained to manifolds, but hasn't defined a density off that manifold. In this work we consider flows with full support in data space, but with ordered latent variables. Like in PCA, the leading latent dimensions define a sequence of manifolds that lie close to the data. We note a trade-off between the flow likelihood and the quality of the ordering, depending on the parameterization of the flow.

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