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math.OC2022
Gibbs Manifolds
Dmitrii Pavlov, Bernd Sturmfels, Simon Telen
Gibbs manifolds are images of affine spaces of symmetric matrices under the exponential map. They arise in applications such as optimization, statistics and quantum~physics, where…
math.OC2022
Toric Geometry of Entropic Regularization
Bernd Sturmfels, Simon Telen, François-Xavier Vialard +1
Entropic regularization is a method for large-scale linear programming. Geometrically, one traces intersections of the feasible polytope with scaled toric varieties, starting at th…