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This paper introduces an extension of the backpropagation algorithm that enables us to have layers with constrained weights in a deep network.
Some methods of speeding up the convergence of iteration methods
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Fixed-rank matrix factorizations and riemannian low-rank optimization
B Mishra, G Meyer, S Bonnabel, and R Sepulchre · 2014
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Very deep convolutional networks for large-scale image recognition
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