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Results tagged with convex-polytopes
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user 121692
Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear programming
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Can upper bounds on totally monotone functions be taken (WLOG) to be themselves totally mono...
Consider the following: fix a function $\bar{b} : \mathbf{R}_+ \to [0, \infty]$, and define
\begin{align}
\mathcal{S} \left( \bar{b} \right) := \left\{ b : \mathbf{R}_+ \to [0, \infty] \, \text{s.t.} …
- 801
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Is it possible to sample uniformly on the surface of a high-dimensional polytope?
The following references may be of interest:
Shake-And-Bake Algorithms for Generating Uniform Points on the Boundary of Bounded Polyhedra -
C. G. E. Boender, R. J. Caron, J. F. McDonald, A. H. G. Rin …
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