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

Unconstrained Monotonic Neural Networks

NeurIPS 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Expressive invertible architectures · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use UMNN-MAF instead of B-NAF transformationautoregressive flow · POWERtest NLL (nats): −0.61 -> −0.63Helped
Use UMNN-MAF instead of B-NAFautoregressive flow · GAStest NLL (nats): −12.06 -> −10.89Hurt
Use UMNN-MAF instead of B-NAFautoregressive flow · HEPMASStest NLL (nats): 14.71 -> 13.99Helped
Use UMNN-MAF instead of B-NAFautoregressive flow · MINIBOONEtest NLL (nats): 8.95 -> 9.67Hurt
Use UMNN-MAF instead of B-NAFautoregressive flow · BSDS300test NLL (nats): −157.36 -> −157.98Helped
Use UMNN-MAF instead of MAF (single flow, no multi-scale)MNIST density model · MNIST density estimationtest NLL (bits/dim): 1.89 -> 1.13Helped
Add UMNN-MAF flow to VAE posterior vs plain VAEVAE · MNIST VAEnegative ELBO (nats): 86.65 -> 84.11Helped
Use UMNN-MAF flow instead of B-NAF in VAEVAE · MNIST VAEnegative ELBO (nats): 83.59 -> 84.11Hurt
Use UMNN-MAF flow in VAE vs plain VAEVAE · Caltech 101 VAEnegative ELBO (nats): 110.80 -> 110.45No clear effect
Share the integrand network weights across dimensions (ablation)UMNN-MAF · density estimationperformanceNo clear effect

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