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Deep Learning without Poor Local Minima
(2016-05-23)
In this paper, we prove a conjecture published in 1989 and also partially address an open problem announced at the Conference on Learning Theory (COLT) 2015. For an expected loss function of a deep nonlinear neural network, ...
Towards Understanding Generalization via Analytical Learning Theory
(2018-10-01)
This paper introduces a novel measure-theoretic theory for machine learning
that does not require statistical assumptions. Based on this theory, a new
regularization method in deep learning is derived and shown to ...