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4 papers · 1 filter
MixUp as Locally Linear Out-Of-Manifold Regularization
Hongyu Guo, Yongyi Mao, Richong Zhang
MixUp is a recently proposed data-augmentation scheme, which linearly interpolates a random pair of training examples and correspondingly the one-hot representations of their label…
Bond type restricted radial distribution functions for accurate machine learning prediction of atomization energies
Mykhaylo Krykunov, Tom K. Woo
Understanding the performance of machine learning algorithms is essential for designing more accurate and efficient statistical models. It is not always possible to unravel the rea…
Affine geometric spaces in tangent categories
R. F. Blute, G. S. H. Cruttwell, R. B. B. Lucyshyn-Wright
We continue the program of structural differential geometry that begins with the notion of a tangent category, an axiomatization of structural aspects of the tangent functor on the…
Differential Categories Revisited
R. F. Blute, J. R. B. Cockett, J-S. Pacaud Lemay +1
Differential categories were introduced to provide a minimal categorical doctrine for differential linear logic. Here we revisit the formalism and, in particular, examine the two d…