4 papers
Universal Gröbner Bases of (Universal) Multiview Ideals
Timothy Duff, Jack Kendrick, Rekha R. Thomas
Multiview ideals arise from the geometry of image formation in pinhole cameras, and universal multiview ideals are their analogs for unknown cameras. We prove that a natural collec…
Invariant Kernels: Rank Stabilization and Generalization Across Dimensions
Mateo Díaz, Dmitriy Drusvyatskiy, Jack Kendrick +1
Symmetry arises often when learning from high dimensional data. For example, data sets consisting of point clouds, graphs, and unordered sets appear routinely in contemporary appli…
Generic representation theory of quivers with relations
E. Babson, B. Huisgen-Zimmermann, R. Thomas
The irreducible components of varieties parametrizing the finite dimensional representations of a finite dimensional algebra are explored, with regard to both their geometry an…
Moduli spaces of graded representations of finite dimensional algebras
E. Babson, B. Huisgen-Zimmermann, R. Thomas
Let be a basic finite dimensional algebra over an algebraically closed field, presented as a path algebra modulo relations; further, assume that is graded by lengths of pat…