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Research map / Probabilistic and scientific modeling / Variational and generative sampling

Relaxing Bijectivity Constraints with Continuously Indexed Normalising Flows

ICML 2020 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Expressive invertible architectures · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use continuously indexed bijections instead of a single flow bijectionResFlow (10 layers) · Poweraverage test log-likelihood (nats): -2.73 ± 0.03 -> 1.60 ± 0.21Helped
Use continuously indexed bijections instead of a single flow bijectionResFlow (10 layers) · Gasaverage test log-likelihood (nats): 4.16 ± 0.08 -> 12.12 ± 0.10Helped
Use continuously indexed bijections instead of a single flow bijectionResFlow (10 layers) · Hepmassaverage test log-likelihood (nats): -20.68 ± 0.02 -> -13.74 ± 0.03Helped
Use continuously indexed bijections instead of a single flow bijectionResFlow (10 layers) · Minibooneaverage test log-likelihood (nats): -14.2 ± 0.10 -> -8.10 ± 0.04Helped
Use continuously indexed bijections instead of a single flow bijectionResFlow (10 layers) · BSDS300average test log-likelihood (nats): 123.51 ± 0.09 -> 160.50 ± 0.08Helped
Use continuously indexed bijectionsMAF · Poweraverage test log-likelihood (nats): 0.19 ± 0.02 -> 0.48 ± 0.01Helped
Use continuously indexed bijectionsMAF · Gasaverage test log-likelihood (nats): 9.23 ± 0.07 -> 12.02 ± 0.10Helped
Use continuously indexed bijectionsNSF · Poweraverage test log-likelihood (nats): 0.69 ± 0.00 -> 0.68 ± 0.01No clear effect
Use continuously indexed bijectionsNSF · Gasaverage test log-likelihood (nats): 13.01 ± 0.02 -> 12.94 ± 0.01; 13.01 ± 0.02 -> 13.08 ± 0.00Mixed
Use continuously indexed bijectionsResFlow · MNISTaverage test bits per dimension: 1.074 -> 0.922Helped
Use continuously indexed bijectionsResFlow · CIFAR-10average test bits per dimension: 3.474 -> 3.334Helped
Use continuously indexed bijectionsRealNVP · Fashion-MNISTaverage test bits per dimension: 2.944 ± 0.003 -> 2.823 ± 0.003Helped

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