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DTSTART:20220313T100000
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DTSTART;TZID=America/Los_Angeles:20220204T123000
DTEND;TZID=America/Los_Angeles:20220204T133000
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SUMMARY:IFDS Monthly All-Hands: Rebecca Willett
DESCRIPTION:Speaker: Prof. Rebecca Willett\, Statistics and CS\, University of Chicago   \nTitle: The Role of Linear Layers in Nonlinear Interpolating Networks   \nAbstract: In this discussion\, we will explore the implicit bias of overparameterized neural networks of depth greater than two layers. Our framework considers a family of networks of varying depth that all have the same capacity but different implicitly defined representation costs. The representation cost of a function induced by a neural network architecture is the minimum sum of squared weights needed for the network to represent the function; it reflects the function space bias associated with the architecture. Our results show that adding linear layers to a ReLU network yields a representation cost that reflects a complex interplay between the alignment and sparsity of ReLU units. Specifically\, using a neural network to fit training data with minimum representation cost yields an interpolating function that is constant in directions perpendicular to a low-dimensional subspace on which a parsimonious interpolant exists. This is joint work with Greg Ongie.
URL:https://ifds.info/event/ifds-monthly-all-hands-rebecca-willett/
LOCATION:WI
CATEGORIES:Monthly All-Hands
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