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

Self Normalizing Flows

ICML 2021 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Normalizing flow training and design · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace exact log-determinant gradient updates with learned approximate inversesFC 2-Layer flow · MNIST testnegative log-likelihood (nats): 947.6 ± 0.2 -> 947.1 ± 0.2No clear effect
replace exact log-determinant gradient updates with learned approximate inversesConv. 9-Layer flow · MNIST testnegative log-likelihood (nats): 637.4 ± 0.2 -> 638.6 ± 0.9Hurt
replace exact log-determinant gradient updates with learned approximate inversesGlow 2L-16K · MNIST testnegative log-likelihood (nats): 575.7 ± 0.8 -> 575.4 ± 1.4No clear effect
replace exact log-determinant gradient updates with learned approximate inversesGlow · CIFAR-10bits per dimension: 3.36 ± 0.002 -> 3.37 ± 0.004Hurt
replace exact log-determinant gradient updates with learned approximate inversesGlow · ImageNet 32x32bits per dimension: 4.12 ± 0.002 -> 4.14 ± 0.007Hurt
use learned approximate inverses instead of exact gradientsFC 2-Layer flow · MNISTtime / batch (ms): 44.9 ± 4.4 -> 18.7 ± 0.8Helped
use learned approximate inverses instead of exact gradientsConv. 9-Layer flow · MNISTtime / batch (ms): 372.2 ± 24.5 -> 212.5 ± 37.3Helped
use learned approximate inverses instead of exact gradientsGlow 2L-16K · MNISTtime / batch (ms): 583.4 ± 21.2 -> 476.4 ± 16.7Helped
set reconstruction weight λ to ≤ 0.1 (ablation)SNF FC 2-Layer · MNISTtraining stabilityHurt
increase reconstruction weight λ from 1.0 to 10.0, 100.0, or 1000.0 (ablation)SNF FC 2-Layer · MNISTnegative log-likelihood (nats): 946.3 -> 954.6; 946.3 -> 1007.4; 946.3 -> 1039.8Hurt
increase reconstruction weight λ from 1.0 to 10.0, 100.0, or 1000.0 (ablation)SNF Conv. 9-Layer · MNISTnegative log-likelihood (nats): 639.6 -> 642.9; 639.6 -> 646.3; 639.6 -> 660.6Hurt
use reconstruction weight λ below 100.0 (ablation)SNF Glow 2L-16K · MNISTtraining stabilityHurt

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