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Polyhedral Divisors, Dedekind Domains and Algebraic Function Fields
Polyhedral Divisors Dedekind Domains Algebraic Function Fields
2012/7/11
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...
On polyhedral approximations of polytopes for learning Bayes nets
polyhedral approximations of polytopes Statistics Theory Bayes nets
2011/9/19
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
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 ...
Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces
uniqueness theorem convex polyhedral metrics compact surfaces
2010/11/19
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
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 Affine Selections for Piecewise Polyhedral Multifunctions and Metric Projections
Piecewise Affine Selections Piecewise Polyhedral Multifunctions Metric Projections
2009/1/13
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 ...