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Learning Across Scales---Multiscale Methods for Convolution Neural Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Prolongate convolution kernels and classifier weights with multigrid operators instead of using the original kernels (ablation) | CNN trained at coarse resolution · MNIST validation, fine resolution | accuracy: $61.02$\% -> $91.02$\% | Helped |
| Restrict the convolution kernel when transferring the fine-trained network to coarse resolution (ablation) | CNN trained at fine resolution · MNIST validation, coarse resolution | accuracy: $84.09$\% -> $94.92$\% | Helped |
| Train on coarse images, then prolongate parameters and continue training at fine resolution | ResNet-34 · ImageNet-10 | training and validation error | Helped |
| Initialize deeper networks by prolongating parameters from shallower networks | MNIST CNNs, depths 2 to 64 layers · MNIST | validation accuracy | Helped |
| Initialize deeper networks by prolongating parameters from shallower networks instead of random initialization | MNIST CNNs, depths 2 to 64 layers · MNIST | iterations to reach comparable accuracy | Helped |
| Train first at 112 × 112, then prolongate weights and train at 224 × 224 | ResNet-34 · ImageNet-10 | training time | Helped |
Closest papers by meaning
- ScaleNet - Improve CNNs through Recursively Rescaling Objects (AAAI 2020 · similarity 0.87)
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- The Multiscale Single-Index Model: A Toy Model for Hierarchical Feature Learning (NeurIPS 2026 · similarity 0.87)
- Multiscale Low-Frequency Memory Network for Improved Feature Extraction in Convolutional Neural Networks (AAAI 2024 · similarity 0.87)
- Feature Learning Dynamics in Infinite-Depth Neural Networks (NeurIPS 2026 · similarity 0.86)
- Depthwise Hyperparameter Transfer in Residual Networks: Dynamics and Scaling Limit (ICLR 2024 · similarity 0.85)
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