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Efficient Algorithms for Learning Depth-2 Neural Networks with General ReLU Activations

NeurIPS 2021 · Architectures and efficiency › RNNs and normalization · approach: Width and depth of ReLU networks · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use multiple consecutive higher-order Hermite tensors instead of relying on a single tensorProposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, W^{⊙ℓ} linearly independentparameter recoveryHelped
Approximate the contribution of large-magnitude-bias units by a linear function and fit the residual with truncated linear regressionProposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, including units with large-magnitude biasesL2 error: ≤ ε²Helped
Use tensor decompositions of Hermite coefficients to recover parameters up to signProposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, W^{⊙ℓ} linearly independentparameter recoveryHelped
Recover all parameters without restricting bias magnitudeProposed algorithm for biased depth-2 ReLU networks · Gaussian inputs, large-magnitude biasesparameter recoveryHurt

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