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Scaling up and Stabilizing Differentiable Planning with Implicit Differentiation

ICLR 2023 · Architectures and efficiency › RNNs and normalization · approach: Differentiable optimization layers · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace algorithmic differentiation with implicit differentiation in ConvGPPNConvGPPN · visual navigationsuccess rate (%): 81.76 -> 98.91Helped
Replace algorithmic differentiation with implicit differentiation in ConvGPPNConvGPPN · workspace manipulationsuccess rate (%): 70.23 -> 92.60Helped
Replace algorithmic differentiation with implicit differentiation in SymVINSymVIN · 18×18 configuration-space manipulationsuccess rate (%): 55.15 -> 99.63Helped
Replace algorithmic differentiation with implicit differentiation in SymVINSymVIN · visual navigationsuccess rate (%): 96.04 -> 86.41Hurt
Replace algorithmic differentiation with implicit differentiation in VINVIN · 36×36 configuration-space manipulationsuccess rate (%): 74.75 -> 56.27Hurt
Use implicit differentiation instead of algorithmic differentiationdifferentiable planners · 2D navigation, 49×49 mapsbackward-pass runtimeHelped
Use implicit differentiation instead of algorithmic differentiationdifferentiable planners · 2D navigation, larger maps and iteration countsscalabilityHelped
Increase forward iterations to solve the equilibrium adequately (ablation)implicit differentiable planners · long-horizon planningsuccess rateHelped
Use Anderson solver instead of forward iteration for the backward pass (ablation)implicit differentiable planners · planning taskssuccess rateHelped
Add Jacobian regularization (ablation)ID-VIN · 2D navigationsuccess rateHurt
Replace the planner update with a self-attention layer in ID-SPT (ablation)SPT · planning tasksperformanceHurt
Train ConvGPPN with 30 layers on 49×49 maps (ablation)ConvGPPN · 2D navigation, 49×49 mapssuccess rateHurt

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