Research map / Architectures and efficiency / CNN design
Finite Versus Infinite Neural Networks: an Empirical Study
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use NNGP instead of NTK inference | Kernel models across FC, CNN-VEC, and CNN-GAP · CIFAR-10, CIFAR-100, and Fashion-MNIST | accuracy | Helped |
| Ensemble kernel predictors over augmented training sets | NNGP and NTK kernels · CIFAR-10 | accuracy: 83.5 -> 84.8 | Helped |
| Apply tuned regularized ZCA preprocessing | CNN-GAP kernels · CIFAR-10 | accuracy: 78.5 -> 83.5 | Helped |
| Use regularized ZCA rather than pure ZCA whitening (ablation) | Finite networks and kernel methods · Image classification | accuracy | Mixed |
| Center the network by subtracting its initial predictions (ablation) | FCN and CNN-VEC · CIFAR-10 | accuracy: 47.82 -> 53.22 | Helped |
| Center the network by subtracting its initial predictions (ablation) | CNN-GAP · CIFAR-10 | accuracy: 80.26 -> 81.25 | No clear effect |
| Use a large learning rate (ablation) | Finite-width networks · CIFAR-10 | accuracy: +1% to +5% | Mixed |
| Add L2 weight decay (ablation) | Finite-width networks · CIFAR-10 | accuracy: +1%-2% | Helped |
| Combine L2 regularization with early stopping (ablation) | CNN-VEC finite-width networks · CIFAR-10 | accuracy: 10% - 15% | Helped |
| Use L2 regularization with NTK parameterization instead of standard parameterization (ablation) | Finite-width networks · CIFAR-10 | accuracy: by up to 6% | Helped |
| Scale standard-parameterization L2 layerwise by layer width (ablation) | Finite-width standard-parameterization networks · CIFAR-10 | accuracy | Helped |
| Increase width (ablation) | CNN-VEC with NTK parameterization · CIFAR-10 | accuracy | Mixed |
Closest papers by meaning
- Towards a General Theory of Infinite-Width Limits of Neural Classifiers (ICML 2020 · similarity 0.91)
- Dynamics of Finite Width Kernel and Prediction Fluctuations in Mean Field Neural Networks (NeurIPS 2023 · similarity 0.91)
- An Infinite-Width Analysis on the Jacobian-Regularised Training of a Neural Network (ICML 2024 · similarity 0.90)
- Adaptive kernel predictors from feature-learning infinite limits of neural networks (ICML 2025 · similarity 0.89)
- Critical feature learning in deep neural networks (ICML 2024 · similarity 0.88)
- On the Surprising Effectiveness of Large Learning Rates under Standard Width Scaling (NeurIPS 2025 · similarity 0.88)
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