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Differentiable Dynamic Programming for Structured Prediction and Attention

ICML 2018 · Learning theory and algorithms › Combinatorial and search optimization · approach: Predict-then-optimize learning · 78 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train the alignment classifier end-to-end using the relaxed DTW loss rather than using a pretrained classifierDTW audio-to-score alignment · Bach 10 testMean absolute deviation: 3.69 ± 2.85 -> 1.07 ± 0.61Helped
Use ℓ₂² instead of negentropy regularization (ablation)Structured attention · WMT14 FR-EN newstest2014BLEU: 27.96 -> 27.19Hurt
Replace standard softmax attention with negentropy structured attentionNeural machine translation · WMT14 FR-EN newstest2014BLEU: 27.96 -> 27.96No clear effect
Use entropy regularization rather than ℓ₂² regularization (ablation)NER structured prediction · CoNLL03F1: English: 90.86 vs 90.80; Spanish: 85.51 vs 86.68; German: 76.01 vs 77.35; Dutch: 86.58 vs 87.56 (surrogate)Mixed
Use the relaxed loss rather than the surrogate convex loss (ablation)Negentropy NER · CoNLL03F1: English 90.80 -> 90.47; Spanish 86.68 -> 86.20; German 77.35 -> 77.56; Dutch 87.56 -> 87.37Mixed
Use the relaxed loss rather than the surrogate convex loss (ablation)ℓ₂²-regularized NER · CoNLL03F1: English 90.86 -> 89.49; Spanish 85.51 -> 84.07; German 76.01 -> 76.91; Dutch 86.58 -> 85.90Mixed
Use ℓ₂² regularization instead of negentropy (ablation)Structured attention · WMT14 FR-ENAttention sparsityHelped
Use ℓ₂² regularization instead of negentropy (ablation)DP-based structured prediction · CoNLL03 NERPrediction sparsityHelped

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