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Implicit MLE: Backpropagating Through Discrete Exponential Family Distributions

NeurIPS 2021 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Gradient estimation for discrete variables · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use I-MLE with Sum-of-Gamma perturbations and tuned temperature instead of MAP-only marginal approximation (ablation)I-MLE for BeerAdvocate Aroma · BeerAdvocate Aroma, k=10Subset precision: 14.55 -> 47.98Helped
Replace local Gumbel perturbations with Sum-of-Gamma perturbations (ablation)I-MLE for BeerAdvocate Aroma · BeerAdvocate Aroma, k=10Subset precision: 39.28 -> 47.98Helped
Tune the perturbation temperature rather than use MAP-only approximation (ablation)I-MLE for BeerAdvocate Aroma · BeerAdvocate Aroma, k=10Test MSE: 4.08 -> 2.71Helped
Use I-MLE (μ-μ) instead of BBWarcraft shortest path model · Warcraft shortest path, K=12Accuracy: 95.2\std{0.7} -> 97.2\std{0.5}Helped
Use I-MLE (μ-μ) instead of BBWarcraft shortest path model · Warcraft shortest path, K=18Accuracy: 94.7\std{0.4} -> 95.8\std{0.7}Helped
Use I-MLE (μ-μ) instead of BBWarcraft shortest path model · Warcraft shortest path, K=24Accuracy: 93.8\std{0.3} -> 94.3\std{1.0}Helped
Use I-MLE (μ-μ) instead of BBWarcraft shortest path model · Warcraft shortest path, K=30Accuracy: 93.6\std{0.5} -> 93.6\std{0.4}No clear effect
Use I-MLE (μ-μ) instead of I-MLE (M-M) (ablation)I-MLE for Warcraft shortest path · Warcraft shortest pathAccuracy: 95.2\std{0.3} -> 97.2\std{0.5}; 94.4\std{0.5} -> 95.8\std{0.7}; 93.2\std{0.2} -> 94.3\std{1.0}; 93.7\std{0.6} -> 93.6\stHelped
Use Sum-of-Gamma instead of standard Gumbel perturbations (ablation)I-MLE synthetic optimization · Synthetic 5-subset optimizationFinal lossHelped
Use I-MLE instead of the straight-through estimatorDiscrete 10-subset VAE · MNIST discrete 10-subset VAETest lossHelped
Use Sum-of-Gamma perturbations instead of standard Gumbel perturbations (ablation)I-MLE discrete 10-subset VAE · MNIST discrete 10-subset VAETest lossHelped

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