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66 420 (0,279s)

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Boundedness of Convex Sets

A necessary and sufficient condition of boundedness of closed convex sets in finite dimensional linear spaces is well-known. It is proven that with a slight modification of the proof, this condition can be extended to any convex set...

BA - Obecná matematika

  • 2011
  • D
  • Link
Result

Semidefinite programming for optimizing convex bodies under width constraints

We consider the problem of minimizing a functional (such as the area, perimeter and surface) within the class of convex bodies whose support functions are trigonometric polynomials. The convexity constraint is transformed v...

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

Convex cores of measures on R d.

We define the convex core of a finite Borel measure Q on R d as the intersection of all convex Borel sets C with Q(C)=Q(R d). It consists exactly of means of probability measures dominated by Q. Geometric and measure-theoretic prope...

BA - Obecná matematika

  • 2001
  • Jx
Result

On the separation of parametric convex polyhedral sets with application in MOLP

of the separating hyperplanes of such convex polyhedral sets. We present several examples carried out on PC. We are also interested in supporting separation (separating hyperplanes support both the convex polyhedr...

BB - Aplikovaná statistika, operační výzkum

  • 2010
  • Jx
Result

Local monotonicity of measures supported by graphs of convex functions

We prove that the 1-dimensional Hausdorff measure restricted to the graph of a function f is locally monotone near the origin provided f''>>0 on some neighbourhood of zero....

BA - Obecná matematika

  • 2004
  • Jx
Result

On a supporting hyperplane for two convex polyhedral sets

BA - Obecná matematika

  • 1998
  • Jx
Result

Separating support hyperplanes for a pair of convex polyhedral sets

BA - Obecná matematika

  • 1998
  • Jx
Result

On limiting towards the boundaries of exponential families

This work studies the standard exponential families of probability measures on Euclidean spaces that have finite supports. In such a family parameterized by means, the mean is supposed to move along a segment inside the convex s...

BD - Teorie informace

  • 2015
  • Jx
  • Link
Result

Large-scale robust transductive support vector machines

In this paper, we propose a robust and fast transductive support vector machine optimization problem is non-convex but it can be decomposed to a convex and concave parts. Therefore, the optimization is accomplished iterativ...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2017
  • Jimp
  • Link
Result

Convex integrals of molecules in Lipschitz-free spaces

We introduce convex integrals of molecules in Lipschitz-free spaces F(M) as a continuous counterpart of convex series considered elsewhere, based on the de Leeuw by cyclical monotonicity of their supports, and that under ce...

Pure mathematics

  • 2024
  • Jimp
  • Link
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