9 citations · 13 across the 8 of their papers we have counts for
4 papers · 1 filter
Pure and Spurious Critical Points: a Geometric Study of Linear Networks
Matthew Trager, Kathlén Kohn, Joan Bruna
The critical locus of the loss function of a neural network is determined by the geometry of the functional space and by the parameterization of this space by the network's weights…
Projective geometry of Wachspress coordinates
Kathlén Kohn, Kristian Ranestad
We show that there is a unique hypersurface of minimal degree passing through the non-faces of a polytope which is defined by a simple hyperplane arrangement. This generalizes the…
PLMP -- Point-Line Minimal Problems in Complete Multi-View Visibility
Timothy Duff, Kathlén Kohn, Anton Leykin +1
We present a complete classification of all minimal problems for generic arrangements of points and lines completely observed by calibrated perspective cameras. We show that there…
Isotropic and Coisotropic Subvarieties of Grassmannians
Kathlén Kohn, James Mathews
We generalize the notion of coisotropic hypersurfaces to subvarieties of Grassmannians having arbitrary codimension. To every projective variety X, Gel'fand, Kapranov and Zelevinsk…