no code implementations • 3 Mar 2021 • Tobias Boege
We present an encoding of a polynomial system into vanishing and non-vanishing constraints on almost-principal minors of a symmetric, principally regular matrix, such that the solvability of the system over some field is equivalent to the satisfiability of the constraints over that field.
Statistics Theory Computational Complexity Statistics Theory 51A25, 62R01, 14P10, 05B20, 15A15
no code implementations • 19 Oct 2017 • Tobias Boege, Alessio D'Alì, Thomas Kahle, Bernd Sturmfels
A gaussoid is a combinatorial structure that encodes independence in probability and statistics, just like matroids encode independence in linear algebra.
Combinatorics Commutative Algebra Statistics Theory Statistics Theory
