Research map / Architectures and efficiency / RNNs and normalization
Efficient Algorithms for Learning Depth-2 Neural Networks with General ReLU Activations
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use multiple consecutive higher-order Hermite tensors instead of relying on a single tensor | Proposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, W^{⊙ℓ} linearly independent | parameter recovery | Helped |
| Approximate the contribution of large-magnitude-bias units by a linear function and fit the residual with truncated linear regression | Proposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, including units with large-magnitude biases | L2 error: ≤ ε² | Helped |
| Use tensor decompositions of Hermite coefficients to recover parameters up to sign | Proposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, W^{⊙ℓ} linearly independent | parameter recovery | Helped |
| Recover all parameters without restricting bias magnitude | Proposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, large-magnitude biases | parameter recovery | Hurt |
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