Summary
A new paper accepted at ICLR's GRaM workshop suggests that while gradient descent takes the steepest descent step for parameters, it may systematically take a 'wrong step' in activation space. This misalignment is mathematically demonstrated for common neural network components like affine layers, convolutions, and attention. The research explores solutions and proposes this phenomenon could offer an alternative mechanistic explanation for why normalization techniques are beneficial in deep learning.
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