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Benchmarking Deep Inverse Models over time, and the Neural-Adjoint method

NeurIPS 2020 · Learning theory and algorithms › Combinatorial and search optimization · approach: Constrained neural network optimization · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Neural Adjoint instead of the strongest listed baseline, cVAEInverse modeling · Ballistics (D1)r_T=200 MSE: 2.80e-7 -> 2.50e-7Helped
Use Neural Adjoint instead of the strongest listed baseline, cINNInverse modeling · Sine wave (D2)r_T=200 MSE: 2.72e-5 -> 1.33e-7Helped
Use Neural Adjoint instead of the strongest listed baseline, cINNInverse modeling · Robotic arm (D3)r_T=200 MSE: 8.80e-7 -> 6.61e-7Helped
Use Neural Adjoint instead of the strongest listed baseline, cINNInverse modeling · Meta-material (D4)r_T=200 MSE: 4.45e-4 -> 6.67e-5Helped
Add boundary loss with uniform initialization (ablation)Neural Adjoint (NA), Ballistics · Ballistics (D1)r_T=200 MSE: 4.78e0 -> 3.54e-6Helped
Add boundary loss with uniform initialization (ablation)Neural Adjoint (NA), Robotic arm · Robotic arm (D3)r_T=200 MSE: 1.53e-6 -> 8.87e-7Helped
Add designed initialization without boundary loss (ablation)Neural Adjoint (NA), Ballistics · Ballistics (D1)r_T=200 MSE: 4.78e0 -> 1.39e0Hurt
Add designed initialization without boundary loss (ablation)Neural Adjoint (NA), Robotic arm · Robotic arm (D3)r_T=200 MSE: 1.53e-6 -> 5.70e-6Hurt
Add designed initialization alongside boundary loss (ablation)Neural Adjoint (NA), Ballistics · Ballistics (D1)r_T=200 MSE: 3.54e-6 -> 2.54e-7Helped
Add designed initialization alongside boundary loss (ablation)Neural Adjoint (NA), Robotic arm · Robotic arm (D3)r_T=200 MSE: 8.87e-7 -> 6.61e-7Helped
Add boundary loss (ablation)Tandem, Ballistics and Robotic arm · Ballistics and Robotic armre-simulation error: at least 2.5 orders of magnitudeHelped
Evaluate stochastic inverse models with increasing candidate count TDeep inverse models · Four benchmark tasksr_T MSEHelped

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