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Why is normalization more effective for neural networks? 


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Normalization is more effective for neural networks because it helps accelerate training and improve generalization . It achieves this by ensuring that any change in the input, such as shifting or scaling, results in a corresponding change in the system response . Normalization methods provide a systematic and mathematically informed way to choose learning rate hyperparameters, guaranteeing statistically robust behavior as the network size increases . Additionally, normalization helps stabilize optimization algorithms and enables them to explore a continuum of minima, leading to better performance . Experimental results show that normalization-equivariant neural networks provide better conditioning, generalization across noise levels, and improved prediction performance .

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Normalization is not explicitly discussed in the provided paper.
Normalization is more effective for neural networks because it ensures that any change in the input, such as scaling or shifting, results in a corresponding change in the system response, leading to better conditioning and improved generalization capabilities.
Normalization is more effective for neural networks because it reduces the variance of the network's output and improves test accuracy, especially when the normalization factor is equal to one (mean-field scaling).
Normalization is more effective for neural networks because it accelerates training and improves generalization by addressing optimization issues and providing a unified approach to normalizing activation methods.

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