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Learning Optimal Conformal Classifiers

ICLR 2022 · Learning theory and algorithms › Prediction and decision losses · approach: Conformal prediction sets · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train end-to-end with ConfTr rather than cross-entropy, then use Thr at test timeClassifier · MNIST, F-MNIST, EMNIST, CIFAR10, CIFAR100inefficiency: 2.23 -> 2.18; 2.05 -> 1.69; 2.66 -> 2.66; 2.93 -> 2.88; 10.63 -> 10.78Mixed
Train end-to-end with ConfTr rather than cross-entropy, then use APS at test timeClassifier · MNIST, F-MNIST, EMNIST, CIFAR10, CIFAR100inefficiency: 2.50 -> 2.16; 2.36 -> 1.82; 4.23 -> 2.86; 3.30 -> 3.05; 16.62 -> 12.99Helped
Add classification loss during ConfTr training (ablation)ConfTr · MNIST, F-MNIST, EMNIST, CIFAR10, CIFAR100inefficiency: 2.18 -> 2.11; 1.69 -> 1.67; 2.66 -> 2.49; 2.88 -> 2.84; 10.78 -> 10.44Helped
Add classification loss during ConfTr training (ablation)ConfTr · EMNISTinefficiency: 2.86 -> 2.87No clear effect
Train with Bel using ThrL instead of cross-entropyClassifier · MNIST, EMNIST, CIFAR100inefficiency: 2.23 -> 2.70; 2.66 -> 3.48; 10.63 -> 10.91Hurt
Train with Bel using ThrL instead of cross-entropyClassifier · F-MNISTinefficiency: 2.05 -> 1.90Helped
Use CoverTr with a fixed threshold rather than ConfTr's calibrated minibatch threshold (ablation)Classifier · MNISTinefficiency: 2.23 -> 6.34Hurt
Use CoverTr with ThrLP during training (ablation)Classifier · MNISTinefficiency: 2.23 -> 2.50Hurt
Use batch size 100 instead of 500 during ConfTr (ablation)ConfTr · MNISTinefficiency: 2.18 -> 8.04Hurt
Vary the size weight λ from 0.001 to 10 (ablation)ConfTr without classification loss · MNISTinefficiency: 2.18; 2.18; 2.18; 2.19; 2.19; 2.19; 2.16No clear effect
Vary temperature T across tested values (ablation)ConfTr without classification loss · MNISTinefficiency: 2.39; 2.23; 2.2; 2.19; 2.18; 2.2; 2.29No clear effect
Train ConfTr at α=0.005 rather than α=0.01 (ablation)ConfTr · MNISTinefficiency: 2.18 -> 2.17No clear effect

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