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Masked Autoregressive Flow for Density Estimation

NeurIPS 2017 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Flow-based density estimation · 201 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
stack autoregressive layers rather than use Real NVP coupling layersdensity estimation models · all reported experimentstest log likelihoodHelped
increase autoregressive layers from 5 to 10 (ablation)MAF · GAStest log likelihood (nats): 9.07 -> 10.08Helped
increase autoregressive layers from 5 to 10 (ablation)MAF · HEPMASStest log likelihood (nats): -17.70 -> -17.73Hurt
increase autoregressive layers from 5 to 10 (ablation)MAF · MINIBOONEtest log likelihood (nats): -11.75 -> -12.24Hurt
increase autoregressive layers from 5 to 10 (ablation)MAF · CIFAR-10 unconditionaltest log likelihood (nats): 2936 -> 3049Helped
increase autoregressive layers from 5 to 10 (ablation)MAF · CIFAR-10 conditionaltest log likelihood (nats): 2983 -> 3058Helped
increase autoregressive layers from 5 to 10 (ablation)MAF · POWERtest log likelihood (nats): 0.14 -> 0.24Helped
replace a standard Gaussian base with a MADE MoG base (ablation)MAF (5) · BSDS300test log likelihood (nats): 155.69 -> 156.36Helped
replace a standard Gaussian base with a MADE MoG base (ablation)MAF (5) · HEPMASStest log likelihood (nats): -17.70 -> -17.39Helped
replace a standard Gaussian base with a MADE MoG base (ablation)MAF (5) · GAStest log likelihood (nats): 9.07 -> 9.59Helped
increase the flexibility of MADE conditionals using a Gaussian mixture (ablation)MADE · CIFAR-10 unconditionaltest log likelihood (nats): 147 -> -397Hurt
use MAF rather than MADE MoGgeneral-purpose density estimation · reported datasetstest log likelihoodMixed

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