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On the Power of Over-parametrization in Neural Networks with Quadratic Activation
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use width k ≥ d | Quadratic-activation shallow network · Arbitrary training dataset | loss landscape | Helped |
| Use width k with k(k+1)/2 > n and add an arbitrarily small random PSD perturbation | Quadratic-activation shallow network with k < d · Arbitrary training dataset | loss landscape | Helped |
| Apply weight decay to bound the weight Frobenius norm | Quadratic-activation shallow network · Gaussian inputs | generalization gap | Helped |
Closest papers by meaning
- Optimization and Generalization of Shallow Neural Networks with Quadratic Activation Functions (NeurIPS 2020 · similarity 0.88)
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- Position: A Theory of Deep Learning Must Include Compositional Sparsity (ICML 2025 · similarity 0.84)
- Magnitude Invariant Parametrizations Improve Hypernetwork Learning (ICLR 2024 · similarity 0.84)
- Quadratic models for understanding catapult dynamics of neural networks (ICLR 2024 · similarity 0.84)
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