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Research map / Learning theory and algorithms / Matrix and tensor methods

Learning Neural Networks with Adaptive Regularization

NeurIPS 2019 · Learning theory and algorithms › Matrix and tensor methods · approach: Geometry of low-rank and SPD structure · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use an adaptive matrix-variate normal prior on the final-layer weightsMTL · SARCOS tasks 1–7explained variance: 0.4418 -> 0.4769; 0.3472 -> 0.3969; 0.5222 -> 0.5485; 0.5036 -> 0.5308; 0.6024 -> 0.6202; 0.4727 -> 0.5085; 0.5298 -> 0.Helped
Use AdaReg instead of weight decaySARCOS MTL · SARCOSstable rank: 4.83 -> 2.88Helped
Use AdaReg instead of weight decaySARCOS MTL · SARCOSspectral norm: 0.92 -> 0.70Helped
Apply AdaReg to the softmax layer rather than applying it across more network layers (ablation)MNIST CNN · MNIST, batch size 2048generalizationHelped
Add AdaReg to batch normalizationMNIST · MNISTgeneralizationHelped
Add AdaReg to dropoutMNIST · MNISTgeneralizationNo clear effect
Apply AdaReg to the final softmax layerMNIST CNN · MNIST training size 600accuracy: 89.34 -> 92.50Helped
Apply AdaReg to the final softmax layerMNIST CNN · MNIST training size 60000accuracy: 98.99 -> 99.19Helped

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