65 citations · 215 across the 45 of their papers we have counts for
55 papers
Skeletal Prototypes on Iterative Nerve Expansions
Jordan Eckert, Henry Schenck
Prototype reduction replaces a training set with a smaller representation, and the established methods return a finite set of points. We propose Skeletal Prototypes on Iterative Ne…
Prototype Selection Using Topological Data Analysis
Jordan Eckert, Elvan Ceyhan, Henry Schenck
Prototype selection methods compress a training set, but the existing taxonomy of condensation, edition, hybrid, competence-based, optimization-based, and clustering-based families…
Free curves, Eigenschemes and Pencils of curves
Roberta Di Gennaro, Giovanna Ilardi, Rosa Maria Mirò-Roig +2
Let . A reduced plane curve is if its associated module of tangent derivations is a free -module, or equivale…
Nets in and Alexander Duality
Nancy Abdallah, Hal Schenck
A net in is a configuration of lines and points satisfying certain incidence properties. Nets appear in a variety of settings, ranging from quasigro…
Quaternary quartic forms and Gorenstein rings
Gregorz Kapustka, Michał Kapustka, Kristian Ranestad +3
A quaternary quartic form, a quartic form in four variables, is the dual socle generator of an Artinian Gorenstein ring of codimension and regularity 4. We present a classification…
Algebraic properties of Hermitian sums of squares, II
Jennifer Brooks, Dusty Grundmeier, Hal Schenck
We study real bihomogeneous polynomials in complex variables for which is the squared norm of a holomorphic polynomial mapping. Such polyn…