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Emerging Convolutions for Generative Normalizing Flows
Emiel Hoogeboom · Rianne Van den Berg · Max Welling

Wed Jun 12 12:05 PM -- 12:10 PM (PDT) @ Hall A

Generative flows are attractive because they admit exact likelihood optimization and efficient image synthesis. Recently, Kingma & Dhariwal (2018) demonstrated with Glow that generative flows are capable of generating high quality images. We generalize the 1 × 1 convolutions proposed in Glow to invertible d × d convolutions, which are more flexible since they operate on both channel and spatial axes. We propose two methods to produce invertible convolutions, that have receptive fields identical to standard convolutions: Emerging convolutions are obtained by chaining specific autoregressive convolutions, and periodic convolutions are decoupled in the frequency domain. Our experiments show that the flexibility of d × d convolutions significantly improves the performance of generative flow models on galaxy images, CIFAR10 and ImageNet.

Author Information

Emiel Hoogeboom (University of Amsterdam)
Rianne Van den Berg (University of Amsterdam)
Max Welling (University of Amsterdam & Qualcomm)

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