3 papers
stat.ML2023
Exact Count of Boundary Pieces of ReLU Classifiers: Towards the Proper Complexity Measure for Classification
Paweł Piwek, Adam Klukowski, Tianyang Hu
Classic learning theory suggests that proper regularization is the key to good generalization and robustness. In classification, current training schemes only target the complexity…
math.GR2019
Investigating transversals as generating sets for groups
Maurice Chiodo, Robert Crumplin, Oscar Donlan +1
In [3] is was shown that for any group whose rank (i.e., minimal number of generators) is at most 3, and any finite index subgroup with index , one…
math.GR2019
Distinguishing crystallographic groups by their finite quotients
Paweł Piwek, David Popović, Gareth Wilkes
Using the computer algebra program GAP, we show that all crystallographic groups in dimensions at most 4 are distinguished from each other by their sets of finite quotients.