50 citations · 101 across the 11 of their papers we have counts for
5 papers · 1 filter
Oriented Matroids and Combinatorial Neural Codes
Alexander Kunin, Caitlin Lienkaemper, Zvi Rosen
A combinatorial neural code is convex if it arises as the intersection pattern of convex open subsets of . We relate the emerging theory…
Algebraic matroids in action
Zvi Rosen, Jessica Sidman, Louis Theran
In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of areas of applied mathematics, including algebraic statistics…
Convex Neural Codes in Dimension 1
Zvi Rosen, Yan X. Zhang
Neural codes are collections of binary strings motivated by patterns of neural activity. In this paper, we study algorithmic and enumerative aspects of convex neural codes in dimen…
Computing Algebraic Matroids
Zvi Rosen
An affine variety induces the structure of an algebraic matroid on the set of coordinates of the ambient space. The matroid has two natural decorations: a circuit polynomial attach…
Algebraic matroids with graph symmetry
Franz J. Király, Zvi Rosen, Louis Theran
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite and infinite matroids whose ground set have some canonical symmetry, for example r…