On Alignment in Deep Linear Neural Networks

13 Mar 2020Adityanarayanan RadhakrishnanEshaan NichaniDaniel BernsteinCaroline Uhler

We study the properties of alignment, a form of implicit regularization, in linear neural networks under gradient descent. We define alignment for fully connected networks with multidimensional outputs and show that it is a natural extension of alignment in networks with 1-dimensional outputs as defined by Ji and Telgarsky, 2018... (read more)

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