We establish interval arithmetic as a practical tool for certification in numerical algebraic
geometry. Our software HomotopyContinuation. jl now has a built-in function certify, which …

We introduce the broad subclass of algebraic compressed sensing problems, where
structured signals are modeled either explicitly or implicitly via polynomials. This includes …

We introduce the broad subclass of algebraic compressed sensing problems, where
structured signals are modeled either explicitly or implicitly via polynomials. This includes …

This paper studies how to recover parameters in diagonal Gaussian mixture models using
tensors. High-order moments of the Gaussian mixture model are estimated from samples …

Motivated by previous work on moment varieties for Gaussian distributions and their
mixtures, we study moment varieties for two other statistically important two-parameter …

Accurate data analysis is fundamental for quality control, process optimization, and decision-
making in industrial contexts. This paper introduces an innovative time series outlier …

Abstract (EN) Systems of polynomial equations appear both in mathematics, as well as in
many applications in the sciences, economics and engineering. Solving these systems is at …

Polynomial system solving in applications Page 1 Polynomial system solving in applications
Julia Lindberg University of Wisconsin-Madison LAAS BrainPOP Seminar 1 / 33 Page 2 …