Densely connected normalizing flowsDownload PDF

Published: 09 Nov 2021, Last Modified: 17 Sept 2023NeurIPS 2021 PosterReaders: Everyone
Keywords: Density estimation, Normalizing flows, Image generation, DenseFlow, Densely connected couplings
TL;DR: Normalizing flows with densely connected couplings achieve state-of-the-art performance under moderate computation budgets.
Abstract: Normalizing flows are bijective mappings between inputs and latent representations with a fully factorized distribution. They are very attractive due to exact likelihood evaluation and efficient sampling. However, their effective capacity is often insufficient since the bijectivity constraint limits the model width. We address this issue by incrementally padding intermediate representations with noise. We precondition the noise in accordance with previous invertible units, which we describe as cross-unit coupling. Our invertible glow-like modules increase the model expressivity by fusing a densely connected block with Nyström self-attention. We refer to our architecture as DenseFlow since both cross-unit and intra-module couplings rely on dense connectivity. Experiments show significant improvements due to the proposed contributions and reveal state-of-the-art density estimation under moderate computing budgets.
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