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Polynomially Over-Parameterized Convolutional Neural Networks Contain Structured Strong Winning Lottery Tickets
Arthur da Cunha, Université Côte d'Azur, Inria, CNRS, I3S, Aarhus University, Aarhus, Denmark, dac@cs.au.dk, "3026 Francesco d'Amore, Aalto University, Bocconi University, Espoo, Finland, francesco.damore@aalto.fi "3026 Emanuele Natale, Université Côte d'Azur, Inria, CNRS, I3S, Sophia Antipolis, France, emanuele.natale@inria.fr
The left side shows the effect of pruning of neurons in the weight-matrix of afully-connected layer. The rows in white correspond to neurons pruned in theassociated layer while thecolumns inwhite represent theeffectofremoving neurons from the previous layers. On the right, we allude to the possibility of collapsing the pruned matrix into a smaller,denseone.
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LimitstoDepth-EfficienciesofSelf-Attention
Self-attention architectures, which are rapidly pushing the frontier innatural language processing, demonstrate asurprising depth-inefficient behavior: previous works indicate that increasing the internal representation (network width) isjust as useful as increasing the number of self-attention layers (network depth).
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