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

Reparameterization Gradient for Non-differentiable Models

NeurIPS 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Variational inference theory and gradients · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed estimator instead of Scorestochastic variational inference · temperature, textmsg, influenzagradient variance: Score variance ratios are 1; Ours is below 1 in all reported settingsHelped
Add boundary contribution estimates to the reparameterization gradientOurs · textmsg, stepsize=0.001average gradient variance: 2.91 × 10^{-2} -> 2.77 × 10^{-2}Helped
Add boundary contribution estimates to the reparameterization gradientOurs · textmsg, stepsize=0.001gradient norm variance: 2.92 × 10^{-2} -> 2.46 × 10^{-2}Helped
Add boundary contribution estimates to the reparameterization gradientOurs · temperature, stepsize=0.001average gradient variance: 4.45 × 10^{-9} -> 1.85 × 10^{-6}Hurt
Add boundary contribution estimates to the reparameterization gradientOurs · influenza, stepsize=0.001average gradient variance: 4.38 × 10^{-3} -> 4.89 × 10^{-3}Hurt
Use Ours rather than Reparamstochastic variational inference · temperature, textmsg, influenzaELBO optimizationMixed
Use Reparam rather than Scorestochastic variational inference · temperature, textmsg, influenzaELBO optimizationHelped
Increase the Adam stepsize to 0.01Score · temperature and textmsgoptimization stabilityHurt
Use the biased Reparam estimator without boundary contributionsReparam · temperatureELBO optimizationHurt
Use Ours instead of Reparamstochastic variational inference · temperature, textmsg, influenza, N=1computation time per iteration: 46.1 -> 79.2 ms; 15.4 -> 24.9 ms; 251.4 -> 269.8 msHurt
Increase Monte Carlo sample countall gradient estimators · temperature, textmsg, influenzaconvergence speed and stabilityHelped

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