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In this paper, we show that the presentation of affine $\mathbb{T}$-varieties of complexity one in terms of polyhedral divisors holds over an arbitrary field. We describe also a class of multigraded a...
Abstract: We review three vector encodings of Bayesian network structures. The first one has recently been applied by Jaakkola 2010, the other two use special integral vectors formerly introduced, cal...
Ergodic Control and Polyhedral approaches to PageRank Optimization     Ergodic Control  Polyhedral  Optimization       font style='font-size:12px;'> 2010/11/15
We study a general class of PageRank optimization problems which consist in finding an optimal outlink strategy for a web site subject to design constraints. We consider two versions of the PageRank ...
We state that any constant curvature Riemannian metric with conical singularities of constant sign curvature on a compact (orientable) surface $S$ can be realized as a convex polyhedron in a Riemanni...
Polyhedral approximations of Riemannian manifolds     Polyhedral approximations  Riemannian manifolds       font style='font-size:12px;'> 2010/3/1
I'm trying to understand which Riemannian manifolds can be Lipschitz approximated by polyhedral spaces of the same dimension with curvature bounded below. The necessary conditions I found consist of s...
Piecewise polyhedral multifunctions are the set-valued version of piecewise affine functions. We investigate selections of piecewise polyhedral multifunctions, in particular, the least norm selection ...

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