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math.AG2022
Enumerative geometry meets statistics, combinatorics and topology
Mateusz Michałek
We explain connections among several, a priori unrelated, areas of mathematics: combinatorics, algebraic statistics, topology and enumerative algebraic geometry. Our focus is on di…
math.AG2022★ 2 cited
The Algebraic Degree of Coupled Oscillators
Paul Breiding, Mateusz Michałek, Leonid Monin +1
Approximating periodic solutions to the coupled Duffing equations amounts to solving a system of polynomial equations. The number of complex solutions measures the algebraic comple…
math.AG2022★ 5 cited
Identifiability for mixtures of centered Gaussians and sums of powers of quadratics
Alexander Taveira Blomenhofer, Alex Casarotti, Alessandro Oneto +1
We consider the inverse problem for the polynomial map which sends an -tuple of quadratic forms in variables to the sum of their -th powers. This map captures the moment…