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Backpropagation through the Void: Optimizing control variates for black-box gradient estimation

ICLR 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Gradient estimation for discrete variables · 93 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace REBAR's fixed relaxation surrogate with a learned neural control variateDiscrete VAE training · MNIST and Omniglot linear one- and two-layer VAEstraining ELBO: MNIST: -111.6 -> -111.20; -98.22 -> -98.00. Omniglot: -116.63 -> -116.57; -108.71 -> -108.54Helped
Replace REBAR's fixed relaxation surrogate with a learned neural control variateDiscrete VAE training · MNIST and Omniglot nonlinear VAEsvalidation ELBO: MNIST: -111.12 -> 119.19; Omniglot: -127.51 -> 128.20Hurt
Use RELAX instead of REBARLinear discrete VAEs · MNIST and Omniglot linear VAEsepochs to REBAR best validation score: MNIST: 857 -> 531; 900 -> 620. Omniglot: 2086 -> 566; 1027 -> 673Helped
Use an action-conditional LAX/RELAX estimator instead of A2CReinforcement-learning policies · Cart Poleepisodes to solve: 1152 ± 90 -> 472 ± 114Helped
Use an action-conditional LAX/RELAX estimator instead of A2CReinforcement-learning policies · Lunar Landerepisodes to solve: 162374 ± 17241 -> 68712 ± 20668Helped
Use LAX instead of A2CContinuous-action reinforcement-learning policy · Inverted Pendulumepisodes to solve: 6243 ± 164 -> 2067 ± 412Helped
Optimize the control variate by minimizing the estimator's variance rather than squared prediction errorLAX/RELAX control variate · Black-box gradient estimationgradient-estimator varianceHelped
Make the baseline depend on the sampled action while retaining the unbiased correctionLAX/RELAX reinforcement-learning estimator · Markov decision processesgradient-estimator varianceHelped

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