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Showing 2021Show all
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cs.LG2021★ 1 cited
Numerical influence of ReLU'(0) on backpropagation
David Bertoin, Jérôme Bolte, Sébastien Gerchinovitz +1
In theory, the choice of ReLU(0) in [0, 1] for a neural network has a negligible influence both on backpropagation and training. Yet, in the real world, 32 bits default precision c…
math.ST2021★ 2 cited
Instance-Dependent Bounds for Zeroth-order Lipschitz Optimization with Error Certificates
François Bachoc, Tommaso R Cesari, Sébastien Gerchinovitz
We study the problem of zeroth-order (black-box) optimization of a Lipschitz function defined on a compact subset of , with the additional constraint…