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From Perception to Programs: Regularize, Overparameterize, and Amortize

ICML 2023 · Optimization › Optimizers · approach: Differentiating through embedded optimization · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add min-sampling (3 samples per gradient step)ROAP · CIFAR-MATHProgram-Acc: 91.8% -> 99.8%Helped
Present images as one contiguous image rather than separate image inputsROAP + min-sampling · CIFAR-MATHProgram-Acc: 99.8% -> 99.2%No clear effect
Remove amortized inference (ablation)ROAP · CIFAR-MATHProgram-Acc: 91.8% -> 28.4%Hurt
Add amortized inference (ablation)ROAP · 3D reconstructionChamfer DistanceNo clear effect
Remove Gumbel-Softmax (ablation)ROAP · CIFAR-MATHProgram-Acc: 91.8% -> 21.0%Hurt
Remove Gumbel-Softmax (ablation)ROAP · 3D reconstruction, FullChamfer Distance: 1.7 -> 9.5Hurt
Use syntax-tree rather than straight-line-code parametrization (ablation)ROAP · CIFAR-MATHProgram-Acc: 91.8% -> 69.0%Hurt
Reduce maximum program length to 10 lines (ablation)ROAP · CIFAR-MATHProgram-Acc: 91.8% -> 11.6%Hurt
Replace the symbolic program with a neural network (ablation)ROAP · 3D reconstructionChamfer Distance: Full: 1.7 -> 1.2; Crop-Plane: 1.8 -> 2.0Mixed
Replace the symbolic program with a neural network (ablation)ROAP · CIFAR-MATHTest-Loss: 0.11 -> 0.11No clear effect
Use syntax-tree rather than straight-line-code parametrization (ablation)ROAP · 3D reconstruction, Crop-PlaneChamfer Distance: 1.8 -> 7.1Hurt
Set program depth to 10 (ablation)ROAP · 3D reconstructionChamfer Distance: Full: 1.7 -> 8.7; Crop-Plane: 1.8 -> 2.7Mixed

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