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Meta-Amortized Variational Inference and Learning

AAAI 2020 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Structured latent VAEs · 12 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Doubly-amortize inference over related mixture distributions instead of training on one mixtureVAE inference · Unseen mixtures of Gaussiansclustering error: 27.9\% -> 9.9\%Helped
Increase the number of training mixtures from 10 to 20MetaVAE · Unseen mixtures of Gaussiansclustering error: 21.2\% -> 15.8\%Helped
Increase the number of training mixtures from 20 to 50MetaVAE · Unseen mixtures of Gaussiansclustering error: 15.8\% -> 9.9\%Helped
Meta-compile inference across simulators rather than train a VAE on one simulatorVAE · Unseen mechanics simulatorsMSEHelped
Amortize inference over image transformations to learn transferable representationsNeural Statistician and Variational HomoEncoder · Transformed MNIST and Small NORBclassification accuracy: 10 to 35\% accuracyHelped
Train the MetaVAE over a transformation familyMetaVAE representations · MNIST and NORB transformation invarianceL2 distance: Rotation: 1.65 vs 4.44; scale: 2.16 vs 5.44; skew: 1.47 vs 4.89; elevation: 0.39 vs 1.16; azimuth: 0.44 vs 1.42; lightinHelped
Amortize over Gaussian, log-normal, and exponential distributions together rather than only one familyMetaVAE · Unseen Weibull, Laplace, and Beta distributionsMSEHelped
Amortize over multiple exponential-family distributions instead of only the matching familyMetaVAE · Gaussian, log-normal, and exponential parameter inferenceMSEMixed

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