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Characterization and Design of Generalized Convolutional Neural Network | IEEE Conference Publication | IEEE Xplore

Characterization and Design of Generalized Convolutional Neural Network


Abstract:

The group convolution and representation theory give a strong support for generalized convolutional neural network. The generalized convolutional neural network (G-CNN) h...Show More

Abstract:

The group convolution and representation theory give a strong support for generalized convolutional neural network. The generalized convolutional neural network (G-CNN) has been applied to learning problems and achieved the state-of-art performance. But a theoretical support for details of network architecture design is still lacking. In this work, we first analyze the necessary and sufficient condition for a neural network to be group equivariant when the group acts on the sub-domain of input/output. We then analyze the multiple equivariance case. After that, we show that the generalized convolution mapping to a quotient space is a projection of the image of a generalized convolution which maps to the maximum quotient space. This can be used to obtain guidelines for choosing the feature size of hidden layer.
Date of Conference: 20-22 March 2019
Date Added to IEEE Xplore: 18 April 2019
ISBN Information:
Conference Location: Baltimore, MD, USA

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