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Research map / Probabilistic and scientific modeling / Differential equations and PDEs

Learning Across Scales---Multiscale Methods for Convolution Neural Networks

AAAI 2018 · Probabilistic and scientific modeling › Differential equations and PDEs · approach: Structured continuous-depth models · 63 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Prolongate convolution kernels and classifier weights with multigrid operators instead of using the original kernels (ablation)CNN trained at coarse resolution · MNIST validation, fine resolutionaccuracy: $61.02$\% -> $91.02$\%Helped
Restrict the convolution kernel when transferring the fine-trained network to coarse resolution (ablation)CNN trained at fine resolution · MNIST validation, coarse resolutionaccuracy: $84.09$\% -> $94.92$\%Helped
Train on coarse images, then prolongate parameters and continue training at fine resolutionResNet-34 · ImageNet-10training and validation errorHelped
Initialize deeper networks by prolongating parameters from shallower networksMNIST CNNs, depths 2 to 64 layers · MNISTvalidation accuracyHelped
Initialize deeper networks by prolongating parameters from shallower networks instead of random initializationMNIST CNNs, depths 2 to 64 layers · MNISTiterations to reach comparable accuracyHelped
Train first at 112 × 112, then prolongate weights and train at 224 × 224ResNet-34 · ImageNet-10training timeHelped

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