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17 089 (0,075s)

Výsledek výzkumu

VC-dimension of exterior visibility

We study the VC-dimension of sets systems arizing from 2D and 3D polyhedral sets.

BD - Teorie informace

  • 2004
  • Jx
Výsledek výzkumu

Bounded VC-dimension implies a fractional Helly theorem

We prove that a fractional Helly theorem holds for every set system of bounded VC-dimension. This gives, for example, fractional Helly number 5 for line transversals of balls in R^3....

BA - Obecná matematika

  • 2004
  • Jx
Výsledek výzkumu

Approximation of Binary-Valued Functions by Networks of Finite VC Dimension

Distributions of errors in approximation of binary-valued functions by networks with sets of input-output functions of finite VC dimension is investigated. Conditions on concentration of approximation errors around their mean values...

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

  • 2023
  • D
  • Odkaz
Výsledek výzkumu

A lower bound for families of Natarajan dimension d

The Natarajan dimension is a generalization of the VC-dimension to families of multivalued functions. We prove a lower bound on the maximum cardinality of families of a given dimension....

BA - Obecná matematika

  • 2001
  • Jx
Výsledek výzkumu

Tight bounds on the maximum size of a set of permutations with bounded VC-dimension

The VC-dimension of a family P of n-permutations is the largest integer k such that the set of restrictions of the permutations in P on some k-tuple of positions is the set of all k! permutation patterns. Let r_k(n) be the maximum s...

BA - Obecná matematika

  • 2012
  • D
  • Odkaz
Výsledek výzkumu

A variant of the VC-dimension with applications to depth-3 circuits

We introduce the following variant of the VC-dimension. Given S ⊆ {0,1}ⁿ] such that the projection of S on every subset of I of size d is the d-dimensional cube. We show that determining the largest cardinality of a set wit...

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

  • 2022
  • D
  • Odkaz
Výsledek výzkumu

Tight bounds on the maximum size of a set of permutations with bounded VC-dimension

The VC-dimension of a family P of n-permutations is the largest integer k such that the set of restrictions of the permutations in P on some k-tuple of positions is the set of all k! permutation patterns. Let r(k)(n) be the maximum ...

BA - Obecná matematika

  • 2012
  • Jx
  • Odkaz
Výsledek výzkumu

Structural sparsity

The notion of structural sparsity is discussed, and its relation to the 'nowhere dense/somewhere dense' dichotomy introduced by the authors for classes of graphs is examined. The numerous facets of this dichotomy are surveyed, along with its connecti...

IN - Informatika

  • 2016
  • Jx
  • Odkaz
Výsledek výzkumu

Statistical Expectation of High Energy Physics Data Sets Separation Algorithms

ofselected multivariable data separation algorithms are studied from the VC-dimension...

BB - Aplikovaná statistika, operační výzkum

  • 2013
  • D
Výsledek výzkumu

Vascular calcifications in patients with chronic kidney failure: epidemiology, diagnosis and possible therapy

Vascular calcifications (VCs) are significantly more frequent in patients with chronic kidney disease than in the normal population. The high incidence of VCs diagnosis of VCs is most frequently based on radiological and ul...

FP - Ostatní lékařské obory

  • 2012
  • Jx
  • 1 - 10 z 17 089