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Net-Trim: Convex Pruning of Deep Neural Networks with Performance Guarantee

NeurIPS 2017 · Learning theory and algorithms › Kernels and regression theory · approach: Generalization theory of deep networks · 27 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply parallel PCN Net-TrimMNIST classifier trained with 200 samples · MNIST testaccuracy: 77.5 -> 77.7Helped
Apply parallel PCN Net-TrimMNIST classifier trained with 200 samples · MNIST test, 10% Gaussian noiseaccuracy: 46.1 -> 55.0Helped
Apply parallel PCN Net-TrimMNIST classifier trained with 300 samples · MNIST testaccuracy: 82.2 -> 82.6Helped
Apply parallel PCN Net-TrimMNIST classifier trained with 300 samples · MNIST test, 10% Gaussian noiseaccuracy: 61.5 -> 70.4Helped
Apply parallel PCN Net-TrimMNIST classifier trained with 500 samples · MNIST testaccuracy: 86.1 -> 86.5Helped
Apply parallel PCN Net-TrimMNIST classifier trained with 500 samples · MNIST test, 10% Gaussian noiseaccuracy: 62.1 -> 65.5Helped
Apply parallel PCN Net-TrimMNIST classifier trained with 1000 samples · MNIST testaccuracy: 89.2 -> 89.8Helped
Apply parallel PCN Net-TrimMNIST classifier trained with 1000 samples · MNIST test, 10% Gaussian noiseaccuracy: 39.2 -> 52.9Helped
Use cascade rather than parallel Net-TrimSpiral classifiers · Nested spirals at constant network relative discrepancysparsity ratioHelped
Add cascade Net-Trim after dropout and ℓ1-penalty trainingNested-spiral classifier · Nested spiralsrelative discrepancy: 0.0183No clear effect

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