73 citations · 326 across the 36 of their papers we have counts for
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math.AG2011★ 35 cited
The Entropic Discriminant
Raman Sanyal, Bernd Sturmfels, Cynthia Vinzant
The entropic discriminant is a non-negative polynomial associated to a matrix. It arises in contexts ranging from statistics and linear programming to singularity theory and algebr…
math.OC2011★ 3 cited
On the derivative cones of polyhedral cones
Raman Sanyal
Hyperbolic polynomials elegantly encode a rich class of convex cones that includes polyhedral and spectrahedral cones. Hyperbolic polynomials are closed under taking polars and the…
math.OC2011★ 7 cited
Deciding polyhedrality of spectrahedra
Avinash Bhardwaj, Philipp Rostalski, Raman Sanyal
Spectrahedra are linear sections of the cone of positive semidefinite matrices that, as convex bodies, generalize the class of polyhedra. In this paper we investigate the problem o…