Research map / Learning theory and algorithms / Matrix and tensor methods
Analysis of Deep Neural Networks with Extended Data Jacobian Matrix
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| increase depth from 1 to 4 layers at fixed hidden units (ablation) | feed-forward net · CIFAR-10 val | EDJM score: 5.99 -> 21.40 | Helped |
| increase depth from 1 to 4 layers at fixed hidden units (ablation) | feed-forward net · CIFAR-10 val | accuracy: 53.94% -> 56.34% | Helped |
| increase depth from 1 to 4 layers at fixed hidden units (ablation) | feed-forward net · MNIST val | accuracy: 98.53% -> 98.66% | Helped |
| replace feed-forward with convolutional network (ablation) | 4-layer feed-forward · CIFAR-10 val | accuracy: 56.34% -> 73.77% | Helped |
| replace feed-forward with convolutional network (ablation) | 4-layer feed-forward · CIFAR-10 val | EDJM score: 21.40 -> 59.65 | Helped |
| add dropout (ablation) | 2-layer feed-forward · CIFAR-10 val | accuracy: 54.23% -> 57.78% | Helped |
| add dropout (ablation) | 2-layer feed-forward · MNIST val | accuracy: 98.59% -> 98.74% | Helped |
| train student on teacher soft labels instead of hard labels (ablation) | feed-forward shallow · CIFAR-10 | accuracy: 62.3% -> 73.6% | Helped |
| train student on teacher soft labels instead of hard labels (ablation) | convolutional shallow · CIFAR-10 | accuracy: 83.1% -> 86.7% | Helped |
| train student on teacher soft labels instead of hard labels (ablation) | feed-forward shallow · CIFAR-10 | EDJM score: 33.7 -> 73.6 | Helped |
| ensemble 2-, 3-, 4-layer nets (ablation) | individual feed-forward nets · CIFAR-10 val | accuracy: 56.34% -> 57.60% | Helped |
| ensemble 2-, 3-, 4-layer nets (ablation) | individual feed-forward nets · CIFAR-10 val | EDJM score: 13.94 -> 8.75 | Hurt |
Closest papers by meaning
- An Infinite-Width Analysis on the Jacobian-Regularised Training of a Neural Network (ICML 2024 · similarity 0.87)
- Investigating the Overlooked Hessian Structure: From CNNs to LLMs (ICML 2025 · similarity 0.85)
- Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss (ICML 2024 · similarity 0.84)
- Neglected Hessian component explains mysteries in sharpness regularization (NeurIPS 2024 · similarity 0.84)
- Deep linear networks for regression are implicitly regularized towards flat minima (NeurIPS 2024 · similarity 0.84)
- Differentiable Learning of Generalized Structured Matrices for Efficient Deep Neural Networks (ICLR 2024 · similarity 0.84)
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