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math.AG2021★ 4 cited
Adjoints and Canonical Forms of Polypols
Kathlén Kohn, Ragni Piene, Kristian Ranestad +5
Polypols are natural generalizations of polytopes, with boundaries given by nonlinear algebraic hypersurfaces. We describe polypols in the plane and in 3-space that admit a unique…
cs.LG2021
Geometry of Linear Convolutional Networks
Kathlén Kohn, Thomas Merkh, Guido Montúfar +1
We study the family of functions that are represented by a linear convolutional neural network (LCN). These functions form a semi-algebraic subset of the set of linear maps from in…