Research map / Learning theory and algorithms / Combinatorial and search optimization
Differentiable Optimization of Generalized Nondecomposable Functions using Linear Programs
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| optimize binary AUC directly with the LP solver instead of cross-entropy | ResNet with Newton LP layer · CIFAR100, positive ratio 91% | AUC (%): 57.8 -> 58.2 | Helped |
| optimize binary AUC with LP solver instead of cross-entropy | ResNet with Newton LP layer · CIFAR10, positive ratio 91% | AUC (%): 65.2 -> 72.5 | Helped |
| LP-based AUC solver instead of PPD-SG surrogate | ResNet with Newton LP layer · STL10, positive ratio 91% | AUC (%): 70.7 -> 68.4 | Hurt |
| LP-based AUC solver instead of PPD-SG surrogate | ResNet with Newton LP layer · CIFAR100, positive ratio 50% | AUC (%): 65.2 -> 69.0 | Helped |
| LP-based AUC solver instead of PPD-SG on balanced data | ResNet with Newton LP layer · Cat&Dog, positive ratio 50% | AUC (%): 87.1 -> 87.8 | No clear effect |
| optimize multiclass AUCmu with LP solver instead of cross-entropy | ResNet with Newton LP layer · STL10, drop rate 90% | AUCmu (%): 68.9 -> 76.1 | Helped |
| optimize multiclass AUC (one-vs-all) with LP solver instead of cross-entropy | ResNet with Newton LP layer · CIFAR100, drop rate 80% | AUCova (%): 59.4 -> 59.2 | Hurt |
| optimize multiclass AUCmu with LP solver instead of cross-entropy | ResNet with Newton LP layer · CIFAR100, drop rate 0% | AUCmu (%): 64.0 -> 67.2 | Helped |
| optimize F1-score directly with LP solver instead of cross-entropy | ResNet with Newton LP layer · STL10 | accuracy (%): 71.8% -> 72.7% | Helped |
| optimize F1-score directly with LP solver instead of cross-entropy | ResNet with Newton LP layer · CIFAR100 | accuracy (%): 60.4% -> 63.4% | Helped |
| use CVXPY-SCS or AP-Perf in place of the Newton LP solver for F1 optimization (ablation) | F1 optimization · four datasets | F1-score: 66.7% | Hurt |
| epsilon 0.001 instead of 0.01 in AUC LP (ablation) | LP formulation · Cat&Dog | AUC | Hurt |
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