The linear framework uses finite, directed graphs with labelled edges to model biomolecular
systems. Graph vertices represent biochemical species or molecular states, edges represent …

In this survey article, we present interactions between algebraic geometry and computer
vision, which have recently come under the header of algebraic vision. The subject has …

The nearest point map of a real algebraic variety with respect to Euclidean distance is an
algebraic function. For instance, for varieties of low-rank matrices, the Eckart–Young …

A bstract Scattering amplitudes in quantum field theories have intricate analytic properties as
functions of the energies and momenta of the scattered particles. In perturbation theory, their …

Nonlinear systems of partial differential equations (PDEs) may permit several distinct
solutions. The typical current approach to finding distinct solutions is to start Newton's …

We present an approach to solving hard geometric optimization problems in the RANSAC
framework. The hard minimal problems arise from relaxing the original geometric …

We study methods for finding the solution set of a generic system in a family of polynomial
systems with parametric coefficients. We present a framework for describing monodromy …

We show that every n\, *\, nn× n matrix is generically a product of ⌊ n/2 ⌋+ 1⌊ n/2⌋+ 1
Toeplitz matrices and always a product of at most 2 n+ 5 2 n+ 5 Toeplitz matrices. The same …

Many real‐world processes and phenomena are modeled using systems of ordinary
differential equations with parameters. Given such a system, we say that a parameter is …

This paper presents a computationally efficient approach to evaluate multidimensional
expectation integrals. Specifically, certain nonproduct cubature points are constructed that …