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Research map / Learning theory and algorithms / Combinatorial and search optimization

Certified Monotonic Neural Networks

NeurIPS 2020 · Learning theory and algorithms › Combinatorial and search optimization · approach: Semidefinite relaxations for verification · 29 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
train end-to-end instead of freezing the pretrained feature extractor (ablation)Certified monotonic network · Chest X-Raytest accuracy: 62.3% ± 0.2% -> 66.3% ± 1.0%Helped
certified monotonic regularized network vs Non-Neg-DNN with same structuretwo-layer ReLU nets · COMPAStest accuracy: 67.3% ± 0.9% -> 68.8% ± 0.2%Helped
certified monotonic regularized network vs Non-Neg-DNN with same structureReLU nets · Blog FeedbackRMSE: 0.168 ± 0.001 -> 0.158 ± 0.001Helped
certified monotonic regularized network vs Non-Neg-DNN with same structureReLU nets · Loan Defaultertest accuracy: 65.1% ± 0.1% -> 65.2% ± 0.1%No clear effect
certified monotonic regularized network vs DLNmonotonic nets · Chest X-Raytest accuracy: 65.4% ± 0.1% -> 66.3% ± 1.0%Helped
add monotonicity constraints to CNN trained on MNIST binary tasks (ablation)CNN · MNIST pairs under PGD attackadversarial test accuracyHelped
add monotonicity constraints to CNN trained on MNIST binary tasks (ablation)CNN · MNIST pairs, clean imagestest accuracyNo clear effect

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