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- Jan Draisma
- 2006

Tropical geometry yields good lower bounds, in terms of certain combinatorialpolyhedral optimisation problems, on the dimensions of secant varieties. In particular, it gives an attractive pictorialâ€¦ (More)

- Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas
- Foundations of Computational Mathematics
- 2016

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 Theorem states thatâ€¦ (More)

- Jan Draisma, Jochen Kuttler
- 2007

We introduce equivariant tree models in algebraic statistics, which unify and generalise existing tree models such as the general Markov model, the strand symmetric model, and group based models suchâ€¦ (More)

Gaussian graphical models are semi-algebraic subsets of the cone of positive definite covariance matrices. Submatrices with low rank correspond to generalizations of conditional independenceâ€¦ (More)

We prove a characteristic free version of Weylâ€™s theorem on polarization. Our result is an exact analogue of Weylâ€™s theorem, the difference being that our statement is about separating invariantsâ€¦ (More)

- Niek Bouman, Jan Draisma, Johan van Leeuwaarden
- SIAM J. Discrete Math.
- 2013

We explore the minimum energy configurations of repelling particles distributed over n possible locations forming a toric grid. We conjecture that the most energy-efficient way to distribute n/2â€¦ (More)

Abstract. We characterize which graph parameters are partition functions of a vertex model over an algebraically closed field of characteristic 0 (in the sense of de la Harpe and Jones, Graphâ€¦ (More)

- Jan Draisma
- 2008

This paper deals with two families of algebraic varieties arising from applications. First, the k-factor model in statistics, consisting of n Ã— n covariance matrices of n observed Gaussian variablesâ€¦ (More)

- Andries E. Brouwer, Jan Draisma
- Math. Comput.
- 2011

Exploiting symmetry in GrÃ¶bner basis computations is difficult when the symmetry takes the form of a group acting by automorphisms on monomials in finitely many variables. This is largely due to theâ€¦ (More)

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 Theorem states thatâ€¦ (More)