We study the geometry of linear networks with one-dimensional convolutional layers. The
function spaces of these networks can be identified with semialgebraic families of …

We consider function spaces defined by self-attention networks without normalization, and
theoretically analyze their geometry. Since these networks are polynomial, we rely on tools …

This article discusses the design of the Apprenticeship Program at the Fields Institute, held
21 August–3 September 2016. Six themes from combinatorial algebraic geometry were …

The multi-image variety is a subvariety of Gr (1, ℙ 3) n Gr\nolimits (1, P^ 3)^ n that
parametrizes all of the possible images that can be taken by n fixed cameras. We compute …

Visual events in computer vision are studied from the perspective of algebraic geometry.
Given a sufficiently general curve or surface in 3-space, we consider the image or contour …

In this thesis we study some complete linear systems associated to divisors of Hilbert
schemes of 2 points on complex projective K3 surfaces with Picard group of rank 1, together …

Motivated by questions in real enumerative geometry (Borcea et al., in Discrete Comput
Geom 35 (2): 287–300, 2006; Bürgisser and Lerario, in J Reine Angew Math, https://doi …

We generalize the notion of coisotropic hypersurfaces to subvarieties of Grassmannians
having arbitrary codimension. To every projective variety X, Gel'fand, Kapranov and …

A surface in the Grassmannian Gr (2, 4) is called a congruence. In this paper, we consider
the normalization of the congruence of bitangents to a hypersurface in P 3. We call it the …

We describe convex hulls of the simplest compact space curves, reducible quartics
consisting of two circles. When the circles do not meet in complex projective space, their …