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Lattice-point generating functions for free sums of convex sets
Lattice-point generating functions free sums of convex sets Combinatorics
2012/7/11
Let $\J$ and $\K$ be convex sets in $\R^{n}$ whose affine spans intersect at a single rational point in $\J \cap \K$, and let $\J \oplus \K = \conv(\J \cup \K)$. We give expressions for the generating...
Stochastic convex optimization with bandit feedback
Stochastic convex optimization bandit feedback Optimization and Control
2011/8/31
Abstract: This paper addresses the problem of minimizing a convex, Lipschitz function $f$ over a convex, compact set $\xset$ under a stochastic bandit feedback model. In this model, the algorithm is a...
A class of metrizable locally quasi-convex groups which are not Mackey
Mackey group Mackey topology precompact group locally quasi-convex group
2011/2/28
A topological group (G, μ) from a class G of MAP topological abelian groups will be called
a Mackey group in G if it has the following property: if is a group topology in G such that (G, ) ∈ G and...
Optimal sets for a class of minimization problems with convex constraints
Convex geometry shape optimization isoperimetric inequalities length
2011/2/24
We look for the minimizers of the functional J( ) = | | − P( ) among planar convex domains constrained to lie into a given ring.
