NIPS Poster Implicit Bias of Gradient Descent on Linear Convolutional Networks

Poster

Implicit Bias of Gradient Descent on Linear Convolutional Networks

Suriya Gunasekar · Jason Lee · Daniel Soudry · Nati Srebro

Room 210 #82

Keywords: [ CNN Architectures ] [ Optimization for Deep Networks ] [ Non-Convex Optimization ]

[ Abstract ]

Abstract: We show that gradient descent on full-width linear convolutional networks of depth $L$ converges to a linear predictor related to the $\ell_{2/L}$ bridge penalty in the frequency domain. This is in contrast to linearly fully connected networks, where gradient descent converges to the hard margin linear SVM solution, regardless of depth.

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