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Hyperspherical Prototype Networks

NeurIPS 2019 · Label-efficient and robust learning › Recognition and long-tail · approach: Learning from unlabeled and positive-unlabeled data · 65 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace one-hot or word2vec class prototypes with separated hyperspherical prototypesResNet-32 classifier · CIFAR-100, 100 dimensionsaccuracy (%): 62.1 { $\pm$ 0.1} -> 65.0 { $\pm$ 0.3}; 57.6 { $\pm$ 0.6} -> 65.0 { $\pm$ 0.3}Helped
Use separated hyperspherical prototypes instead of word2vec prototypesResNet-32 classifier · CIFAR-100, 10 dimensionsaccuracy (%): 29.0 { $\pm$ 0.0} -> 51.1 { $\pm$ 0.7}Helped
Use separated hyperspherical prototypes instead of word2vec prototypesResNet-32 classifier · ImageNet-200, 200 dimensionsaccuracy (%): 30.0 { $\pm$ 0.4} -> 44.7 { $\pm$ 0.3}Helped
Reduce output dimensionality to 25 from the class-count-sized outputHyperspherical prototype classifier · CIFAR-100, ResNet-32accuracy (%): 65.0 { $\pm$ 0.3} -> 63.0 { $\pm$ 0.1}No clear effect
Add privileged information to prototype construction (ablation)Hyperspherical prototype classifier · CIFAR-100, ResNet-32, 5 dimensionsaccuracy (%): 28.7 { $\pm$ 0.4} -> 37.0 { $\pm$ 0.8}Helped
Add privileged information to prototype construction (ablation)Hyperspherical prototype classifier · CIFAR-100, ResNet-32, 3 dimensionsaccuracy (%): 5.5 { $\pm$ 0.3} -> 11.5 { $\pm$ 0.4}Helped
Add privileged information to prototype construction (ablation)Hyperspherical prototype classifier · CIFAR-100, ResNet-32, 10 dimensionsaccuracy (%): 51.1 { $\pm$ 0.7} -> 57.0 { $\pm$ 0.6}Helped
Add privileged information to prototype construction (ablation)Hyperspherical prototype classifier · CIFAR-100, ResNet-32, 25 dimensionsaccuracy (%): 63.0 { $\pm$ 0.1} -> 64.0 { $\pm$ 0.2}Helped
Add privileged information to prototype construction (ablation)Hyperspherical prototype classifier · CIFAR-100, ResNet-32, 100 dimensionsaccuracy (%): 65.0 { $\pm$ 0.3} -> 63.8 { $\pm$ 0.1}Hurt
Add privileged information to prototype construction (ablation)Hyperspherical prototype classifier · CIFAR-100, ResNet-32, 200 dimensionsaccuracy (%): 63.7 { $\pm$ 0.4} -> 64.7 { $\pm$ 0.1}Helped
Use hyperspherical classification rather than softmax cross-entropyResNet-32 classifier · CIFAR-100, 500 examples/classaccuracy (%): 64.4 { $\pm$ 0.4} -> 65.0 { $\pm$ 0.3}No clear effect
Use hyperspherical classification rather than softmax cross-entropyResNet-32 classifier · CIFAR-100, 2 to 200 examples/classaccuracy (%): 44.2 { $\pm$ 0.0} -> 46.4 { $\pm$ 0.0}Helped

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